Math Expressions Homework and Remembering Grade 2
October 30, 2017 | Author: Anonymous | Category: N/A
Short Description
PROJECT DIRECTOR AND AUTHOR. Dr. Karen C. Fuson. Grade 2 1–2. Name . UNIT 1 LESSON 2. Practice with Stories and Drawi&nb...
Description
Grade 2
Developed by The Children’s Math Worlds Research Project PROJECT DIRECTOR AND AUTHOR
Dr. Karen C. Fuson
This material is based upon work supported by the
National Science Foundation under Grant Numbers ESI-9816320, REC-9806020, and RED-935373. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author and do not necessarily reflect the views of the National Science Foundation.
Teacher Reviewers Kindergarten Patricia Stroh Sugiyama Wilmette, Illinois
Grade 2 Molly Dunn Danvers, Massachusetts
Grade 3 Jane Curran Honesdale, Pennsylvania
Grade 5 Todd Atler Chicago, Illinois
Barbara Wahle Evanston, Illinois
Agnes Lesnick Hillside, Illinois
Sandra Tucker Chicago, Illinois
Leah Barry Norfolk, Massachusetts
Grade 1 Sandra Budson Newton, Massachusetts
Rita Soto Chicago, Illinois
Janet Pecci Chicago, Illinois
Grade 4 Sara Stoneberg Llibre Chicago, Illinois Sheri Roedel Chicago, Illinois
Megan Rees Chicago, Illinois
Credits Cover art: (tiger) © Juniors Bildarchiv/Alamy Images. (whale) © Francois Gohier/Photo Researchers, Inc. (grass) © Corel Stock Photo Library. (tape) © Eyewire. Illustrative art: Robin Boyer/Deborah Wolfe, LTD Technical art: Nesbitt Graphics, Inc. Photos: Nesbitt Graphics, Inc.
Copyright © 2006 by Houghton Mifflin Company. All rights reserved. Permission is hereby granted to teachers to reprint or photocopy in classroom quantities the pages or sheets in this work that carry a Houghton Mifflin copyright notice. These pages are designed to be reproduced by teachers for use in their classes with accompanying Houghton Mifflin material, provided each copy made shows the copyright notice. Such copies may not be sold and further distribution is expressly prohibited. Except as authorized above, prior written permission must be obtained from Houghton Mifflin Company to reproduce or transmit this work or portions thereof in any form or by any electronic or mechanical means, including any information storage or retrieval system, unless expressly permitted by federal copyright law. Address inquiries to School Permissions, Houghton Mifflin Company, 222 Berkeley Street, Boston, MA 02116. Printed in the U.S.A. ISBN-13: 978-0-618-64126-0 ISBN-10: 0-618-64126-2 2 3 4 5 6 7 8 9 EB 11 10 09 08 07 06
ii
1–1
Name
Solve the story problems. 1. Spencer saw 8 frogs in the pond. Then he saw 5 more. How many frogs did Spencer see altogether?
Show your work.
frog
label
2. Beth has 5 red marbles and some blue marbles. Altogether she has 14 marbles. How many of the marbles are blue?
marbles
label
3. Felix has 5 stamps from Mexico. The rest are from Canada. He has 8 stamps altogether. How many stamps are from Canada?
stamp
label
4. Gary had 7 books. His mother gave him 3 more books. How many books does Gary have now?
book
label
5. On the Back Write your own story problem. Then show how to solve it. UNIT 1 LESSON 1
Introduce Stories and Drawings
1
Name
Copyright © Houghton Mifflin Company. All rights reserved.
Introduce Stories and Drawings
UNIT 1 LESSON 1
2
1–2
Name
Show your work.
Solve the story problems. 1. There were 15 lights on. Then some of the lights burned out. Now there are 6 lights on. How many lights burned out?
light
label
2. Kari scored 7 points at soccer practice. Shona scored 3. How many more points did Kari score than Shona?
soccer ball
label
3. There are 4 screwdrivers and some hammers in a toolbox. Altogether there are 9 tools. How many hammers are there?
tools
label
4. Obi picked 14 cucumbers. Pam picked 8. How many more cucumbers would Pam have to pick to have as many as Obi?
cucumber
label
5. Show a Proof Drawing Choose one of the problems on this page. Show a Proof Drawing for the problem. UNIT 1 LESSON 2
Practice with Stories and Drawings
3
1–2
Name
Show your work.
Solve the story problems. 1. Andy has 9 toys. Andy gave Yori 4 toys. How many toys does Andy have left?
toy
label
2. Tracy has 7 green marbles and some yellow marbles. Altogether she has 10 marbles. How many of them are yellow?
marbles
label
3. Imala has 5 balls. John has 2. How many balls do they have altogether?
ball
4. There are 3 boys and some girls on the train. There are 7 children on the train. How many girls are on the train?
Copyright © Houghton Mifflin Company. All rights reserved.
label
train
label
5. Explain Your Thinking On a separate piece of paper, explain all the steps you took to solve problem 4.
4
UNIT 1 LESSON 2
Practice with Stories and Drawings
1–3
Name
Add or subtract. 1. 7 +
1=
5– 0=
0+ 1=
2. 3 +
0=
9– 1=
6+ 1=
3. 0 +
7=
2– 0=
4+ 1=
4. 4 +
1=
3– 1=
6+ 0=
5. 9 +
0=
5– 1=
9+ 1=
6. 1 +
8=
2– 1=
10 – 0 =
7. 1 +
3=
4– 0=
8– 0=
8. 0 +
5=
6– 0=
3+ 1=
9. 5 +
1=
7– 1=
6– 1=
10. 0 +
4=
8– 0=
1– 1=
11. On the Back What happens when you add 0 to a number? Draw a picture to explain. UNIT 1 LESSON 3
Add or Subtract 0 or 1
5
Name
Copyright © Houghton Mifflin Company. All rights reserved.
Add or Subtract 0 or 1
UNIT 1 LESSON 3
6
l–4
Name
Solve the story problems. 1. There were 12 clean glasses in the dish rack. Matt put some of them away. Now there are 5 glasses left in the rack. How many glasses did Matt put away?
Show your work.
glasses
label
2. There are 2 flowers in a red vase and some flowers in a white vase. There are 8 flowers altogether. How many flowers are in the white vase?
flowers
label
3. Carlos took 10 pictures with his camera. Jane took 6 pictures. How many more pictures must Jane take in order to have as many as Carlos?
camera
label
4. Jung Mee has 9 tomatoes growing in her garden. She has 8 tomatoes in the kitchen. How many tomatoes does Jung Mee have in total?
tomato
label UNIT 1 LESSON 4
Relationships in Numbers to 10
7
1–4
Name
Show your work.
Solve the story problems. 1. Mary spent $3 at the toy store. Jamal spent $6 more than Mary. How many dollars did Jamal spend at the toy store?
toy
label
2. Aaron bought 5 hats at the store. Lucia bought 8 hats. How many more hats must Aaron buy to have as many as Lucia?
hat
label
Add or subtract 0 or 1.
+ 1=
9– 1=
0+ 7=
4. 9
+ 1=
6– 0=
2+ 0=
5. 1
+ 3=
6– 1=
9+ 0=
6. 0
+ 5=
8– 0=
6+ 1=
7+ 1=
7– 1=
1+ 5=
+ 4=
1– 1=
1+ 8=
7.
8. 0 8
UNIT 1 LESSON 4
Relationships in Numbers to 10
Copyright © Houghton Mifflin Company. All rights reserved.
3. 4
1–5
Name
1. What teen numbers are shown here?
10 + 6 = 10 + 2 = 10 + 4 = 10 + 1 = 10 + 3 = 10 + 5 = 10 + 8 = 10 + 7 = 10 + 9 = 2. Ring the pennies needed to make each teen number.
17
12
15
12 = 10 + 16 = 10 + 18 = 10 + 11 = 10 + 17 = 10 + 14 = 10 + 13 = 10 + 15 = 10 + 19 = 10 +
3. On the Back Write and solve a story problem about pennies. UNIT 1 LESSON 5
Teens, Tens, and Dimes
9
Name
Copyright © Houghton Mifflin Company. All rights reserved.
Teens, Tens, and Dimes
UNIT 1 LESSON 5
10
1–6
Name
Count the rabbits in the garden. Then write the partners of 10. 1.
10 =
+
10 =
+
10 =
+
10 =
+
10 =
+
10 =
+
10 =
+
10 =
+
10 =
+
2.
3.
4. Write the partners of 10 that are the same but are switched.
1 + 9 = 9 + 1 + UNIT 1 LESSON 6
=
+
+
=
+
+
=
+ Break-Aparts of 10
11
1–6
Name
Solve the story problems. 1. Sally had 9 tomatoes. She and her friends ate 4. How many tomatoes are left?
Show your work.
tomato
label
2. On Jerome’s desk, 6 folders are open. The rest are closed. There are 9 folders on Jerome’s desk. How many folders on his desk are closed?
folder
label
12
UNIT 1 LESSON 6
19 = 10 + 12 = 10 + 14 = 10 + 18 = 10 + 11 = 10 + 15 = 10 + 17 = 10 + 13 = 10 + 16 = 10 + Break-Aparts of 10
Copyright © Houghton Mifflin Company. All rights reserved.
What teen numbers are shown here? 3.
1–7
Name
Write the number partners and the total for the picture. 1. 2. 3.
Number Partners
Number Partners
Number Partners
and
and
and
Total
Total
4.
Total
5.
6.
Number Partners
Number Partners
Number Partners
and
and
and
Total
Total
Total
7. Create Your Own Draw your own picture. Write the number partners and total for your picture.
Number Partners and Total
UNIT 1 LESSON 7
Partners in Break-Aparts
13
1–7
Name
Add or subtract. 1.
4+ 1=
1– 1=
5– 1=
1=
8– 0=
3– 1=
3. 0 +
1=
8– 1=
2– 0=
4. 0 +
10 =
1– 0=
9– 1=
5. 8 +
1=
4– 1=
5– 0=
6. 1 +
0=
10 – 1 =
7– 0=
5+ 1=
9– 0=
1+ 7=
10 – 0 =
9+ 0=
7.
8. 6 +
0=
9. Critical Thinking How are adding 0 and subtracting 0 the same?
14
UNIT 1 LESSON 7
Partners in Break-Aparts
Copyright © Houghton Mifflin Company. All rights reserved.
2. 6 +
1–8
Name
Complete the Partner Houses. 1.
8 + + + +
+ + +
5 2
+ +
+
+ +
2.
10 6 3 +
+
+ + +
+ +
+ + + + +
+ + + +
3.
9 7 + + +
+ + +
+ + + +
+ + + +
4 + +
+
4. Which Partner Houses have doubles?
UNIT 1 LESSON 8
Partner Houses through 10
15
1–8
Name
Count the rabbits in the garden. Then write the partners of 10. Then switch the partners. 1.
2.
3.
10 =
+
10 =
+
10 =
+
10 =
+
10 =
+
10 =
+
What teen numbers are shown here? 4. 5.
6.
7.
Copyright © Houghton Mifflin Company. All rights reserved.
16
UNIT 1 LESSON 8
Partner Houses through 10
1–9
Name
6+3= 9 I pretend I already counted 6. So 6, 7, 8, 9. 8 9
6 Already 6
7 8 9
Already 6 7 8 9
Already 6 7
Count on to find the total. 1. 5
+ 4=
4+ 7=
7+ 2=
2. 4
+ 3=
2+ 6=
5+ 2=
3. 7
+ 5=
5+ 7=
9+ 6=
4. 4
+ 6=
3+ 8=
8+ 6=
5. 5
+ 8=
7+ 9=
9+ 4=
6. 5
+ 9=
2+ 6=
4+ 6=
5
9
2
6
4
6
7. Write About It Explain how you can find the total for 5 + 9. What is the total?
UNIT 1 LESSON 9
Count On to Find the Total
17
1–9
Name
Complete the Partner Houses. 1.
10 + + + + +
+ + + +
8
9 + + + +
+ + + +
+ + + +
+ + +
2.
6
7 + + +
+ + +
+ +
5 + +
+ +
3.
4 + +
18
UNIT 1 LESSON 9
3
+ +
2 +
+
Count On to Find the Total
Copyright © Houghton Mifflin Company. All rights reserved.
+ + +
1–10
Name
7 8
Stop when I hear 8 Already 5 6 7 8
6
5+ 3 =8
Stop when I hear 8 I took 5 away
Already 5
6 7 8
3 more to make 8
3 more to make 8
8– 5= 3
Count on to find the partner. 1. 7
+
=9
9– 6=
3+
=8
2. 5
+
=8
10 – 7 =
3+
=9
3. 7
+
= 10
10 – 4 =
7+
= 11
4. 6
+
=8
8– 3=
6+
=9
5. 2
+
=9
8– 6=
9
11 – 7 =
8
2
6
11 7
6. Explain Your Thinking Explain how you found the answer for 11 – 7 =
UNIT 1 LESSON 10
.
Count On to Find the Partner
19
1–10
Name
Complete the Partner Houses. 1.
9 + + + +
8 + + + +
6 + + +
+ + + +
+ +
+ + +
Show your work.
Solve the story problem. 2. Rachel had 9 toy cars. She gave 7 toy cars to her friends. How many toy cars does Rachel have now?
toy car
label
3. 1
+ 8=
2– 0=
8+ 1=
4. 1
+ 3=
5– 1=
0+ 1=
5. 1
+ 9=
6– 1=
9– 1=
6. 0
+ 5=
8– 0=
6– 0=
20
UNIT 1 LESSON 10
Count On to Find the Partner
Copyright © Houghton Mifflin Company. All rights reserved.
Add or subtract 0 or 1.
1–11
Name
Make a ten or count on to find the total. 1. 4
+ 8=
4+ 6=
5+ 7=
2. 5
+ 6=
5+ 8=
9+ 3=
3. 3
+ 8=
7+ 4=
9+ 5=
4. 7
+ 7=
2+ 8=
4+ 9=
5. 6
+ 9=
5+ 9=
6+ 8=
6. 6
+ 4=
8+ 9=
6+ 7=
7. 8
+ 2=
8+ 3=
9+ 9=
8. 7
+ 8=
8+ 4=
9+ 2=
9. 8
+ 6=
7+ 9=
5+ 5=
10. Explain Your Thinking Choose one equation above. Explain how you found the total.
UNIT 1 LESSON 11
Use Tens
21
1–11
Name
6 + 3= 9 8 9
6 Already 6
7 8 9
Already 6
7
7 8 9
Already 6
Count on to find the total.
7=
2+ 9=
7+ 5=
2. 5 +
6=
3+ 9=
6+ 9=
3. 4 +
8=
4+ 7=
6+ 6=
4. 7 +
4=
3+ 8=
8+ 4=
5. 9 +
5=
4+ 9=
8+ 5=
6. 8 +
6=
7+ 7=
4+ 8=
7. 9 +
9=
6+ 5=
8+ 8=
Copyright © Houghton Mifflin Company. All rights reserved.
1. 8 +
8. Critical Thinking How can you use counting on to solve this equation? 7 + 5 =
22
UNIT 1 LESSON 11
Use Tens
1–12
Name
Make a ten or count on to find the total. 1. 3
+ 8=
4+ 8=
4+ 9=
2. 8
+ 6=
9+ 5=
8+ 5=
3. 6
+ 7=
7+ 7=
7+ 5=
4. 2
+ 9=
5+ 7=
9+ 2=
5. 3
+ 9=
8+ 9=
4+ 7=
6. 9
+ 8=
7+ 6=
5+ 9=
7. 6
+ 9=
6+ 6=
5+ 6=
6
9
6
6
5
6
8. Critical Thinking Explain how to make a ten to find 8 + 6.
UNIT 1 LESSON 12
Make a Ten with Penny Strips and Fingers
23
1–12
Name
Complete each Partner House. 1.
8 7 + + +
+ + +
5 + +
+ +
+ + + +
+ + +
Count on to find the partner.
= 10
10 – 7 =
3+
=6
3. 3 +
= 12
10 – 5 =
4+
=7
4. 4 +
=9
13 – 7 =
9+
= 14
5. 6 +
=8
11 – 4 =
8– 3=
6. 8 +
= 13
9– 6=
11 – 7 =
7. 7 +
=9
10 – 8 =
11 – 9 =
9 7 24
UNIT 1 LESSON 12
10 8
11 9 Make a Ten with Penny Strips and Fingers
Copyright © Houghton Mifflin Company. All rights reserved.
+
2. 6
1–13
Name
Make a ten or count on to find the total.
3+ 8=
4+ 8=
4+ 9=
2. 8
+ 6=
9+ 5=
8+ 5=
3. 6
+ 7=
7+ 7=
7+ 5=
4. 7
+ 4=
8+ 9=
4+ 7=
5. 9
+ 8=
7+ 6=
5+ 9=
6. 3
+ 9=
6+ 5=
5+ 8=
6+ 9=
6+ 6=
5+ 6=
1.
7.
6
9
6
6
5
6
8. Critical Thinking How you can use the Make a Ten strategy to solve 8+ = 14?
UNIT 1 LESSON 13
Practice Adding with Teen Totals
25
1–13
Name
8– 5= 3 7 8 6 I took away 6 7 8 5 3 more to make 8
or
I took away 5
5 3 more to make 8
Count on to find the partner. 1.
8– 4=
9– 6=
10 – 8 =
5=
10 – 4 =
6– 3=
3. 9 –
3=
8– 5=
6– 5=
4. 3 –
2=
8– 6=
10 – 2 =
3
8
10
2
6
5. The yard sale records got wet. Some numbers are missing. Fill in the missing numbers.
26
UNIT 1 LESSON 13
2 Item
Number Sold Each Day Saturday Sunday Total
Birdhouse
1
Potholder
4
9
Picture Frame
2
10
6
Practice Adding with Teen Totals
Copyright © Houghton Mifflin Company. All rights reserved.
2. 7 –
1–14
Name
1. Complete the Math Mountains and equations.
10 8 8+2=
2
10
8 8+
8 = 10
10 – 8 =
2. Create and Solve Write and solve a story problem for one of the equations above.
3. Draw a Picture and Explain Draw two different Math Mountains with a total of 12. Explain why you can make two different Math Mountains.
UNIT 1 LESSON 14
Relate Addition and Subtraction
27
1–14
Name
Count the rabbits in the garden. Write the numbers hidden inside the 10. Then switch the partners. 1.
10 =
+
10 =
+
10 =
+
10 =
+
10 =
+
10 =
+
Solve the story problems. 2. James had 11 rose bushes. He planted 6 in the back yard and the rest in the front yard. How many rose bushes did he plant in the front yard?
Show your work.
rose bush Copyright © Houghton Mifflin Company. All rights reserved.
label
3. Josh had 12 daisies in his hand. He put some in a vase. He has 3 left in his hand. How many daisies did he put in the vase?
daisies
label
28
UNIT 1 LESSON 14
Relate Addition and Subtraction
1–15
Name
8 + 6 = 14 or 14 – 8 = 6 Already 8
9 10 11 12 13 14
or
8
or
8
9 10 + 4 more 6 + 2 + 4 =14
or
8
10 + 4
Already 8 2 more to 10
4 more to 14
Find the partner.
5+
= 12
15 – 8 =
8+
= 16
2. 7
+
= 16
13 – 4 =
9+
= 12
3. 3
+
= 12
11 – 2 =
7+
= 13
4. 9
+
= 15
14 – 8 =
17 – 9 =
5. 8
+
= 12
16 – 8 =
16 – 7 =
6. 5
+
= 13
18 – 9 =
12 – 7 =
4+
= 12
11 – 4 =
12 – 9 =
1.
7.
8. Explain Your Thinking Choose one equation above. Explain how you can make a ten to find the partner.
UNIT 1 LESSON 15
Unknown Partners and Teen Totals
29
1–15
Name
8 + 6 = 14 Already 8
9 10 11 12 13 14
or
8
or
8
9 10 + 4 more 6 + 2 + 4 =14
or
8
10 + 4 =14
Already 8
6 gives 2 to 8 to make 10 4 left in 6, so 10 + 4 = 14
Think 8 + 6 8 + 2 + 4 =14 10
Make a ten or count on to find the total.
6+ 6=
3+ 8=
2. 6
+ 5=
5+ 8=
6+ 7=
3. 9
+ 8=
7+ 6=
7+ 4=
4. 8
+ 9=
4+ 7=
3+ 9=
5. 2
+ 9=
5+ 7=
8+ 5=
6. 7
+ 7=
7+ 5=
9+ 2=
8+ 6=
9+ 5=
5+ 6=
+ 8=
4+ 9=
5+ 9=
7.
8. 4 30
UNIT 1 LESSON 15
Unknown Partners and Teen Totals
Copyright © Houghton Mifflin Company. All rights reserved.
6+ 9=
1.
1–16
Name
Write the partner.
6+
= 15
17 – 8 =
3+
= 11
2. 9
+
= 17
12 – 6 =
9+
= 12
3. 5
+
= 11
12 – 4 =
7+
= 12
4. 8
+
= 13
15 – 7 =
5+
= 14
5. 7
+
= 11
15 – 8 =
13 – 7 =
6. 9
+
= 14
13 – 5 =
11 – 6 =
5+
= 12
12 – 3 =
11 – 2 =
+
= 13
15 – 9 =
13 – 6 =
1.
7.
8. 8
13 8
15
13
9
6
9. Critical Thinking Explain how the Proof Drawing can help you solve 8 + = 14.
Already 8
UNIT 1 LESSON 16
Relate Addition and Subtraction–Teen Totals
10 + 4 = 14
31
1–16
Name
Show your work.
Solve the story problem. 1. Ellen has 12 books in her bag. She put 6 of the books on the table. How many books are in her bag now?
book
label
Complete the Partner Houses. 2.
9 + + + +
+ + + +
7 + + +
+ + +
5 + +
+ +
3. 5
+
= 11
13 – 9 =
5+
= 13
4. 9
+
= 14
12 – 7 =
8+
= 14
5. 8
+
= 12
15 – 9 =
16 – 8 =
6. 7
+
= 13
17 – 8 =
11 – 4 =
32
UNIT 1 LESSON 16
Relate Addition and Subtraction–Teen Totals
Copyright © Houghton Mifflin Company. All rights reserved.
Write the partner.
1–17
Name
Count on to find the total or partner. You can use the number line to help you. 0
1
2
3
4
5
6
7
8
9
10
1.
5+ 5=
2.
8– 3=
3.
7+ 2=
4.
5– 2=
5.
4+ 1=
6.
7– 3=
7.
6– 2=
8.
5+ 4=
9.
9– 4=
10.
6+ 2=
11. Write About It Explain how you would use a number line to solve 3 + 4 = .
UNIT 1 LESSON 17
Use a Number Line to Add or Subtract
33
1–17
Name
Count on to find the total.
+ 5=
3+ 7=
5+ 4=
2. 9
+ 4=
2+ 9=
8+ 5=
3. 8
+ 6=
4+ 6=
3+ 6=
4. 7
+ 3=
8+ 4=
8+ 3=
5. 6
+ 9=
4+ 8=
5+ 6=
6. 7
+ 8=
7+ 7=
9+ 3=
7. 4
+ 5=
6+ 8=
7+ 9=
Solve the story problem. 8. Gina has 5 crayons. Peter has 6 crayons. How many crayons do they have altogether?
Show your work.
crayon
label
34
UNIT 1 LESSON 17
Use a Number Line to Add or Subtract
Copyright © Houghton Mifflin Company. All rights reserved.
1. 7
1–18
Name
9 + 4 = 13 9 +4 ᎏ 13
13 9
13 – 9 = 4
4
13 – 9 ᎏ 4
13 9
I find the total.
4
I find a partner.
Find the total or partner. 1.
5 +6 ᎏ
9 +8 ᎏ
8 +3 ᎏ
9 +4 ᎏ
6 +6 ᎏ
8 +6 ᎏ
2.
11 – 9 ᎏ
14 – 6 ᎏ
11 – 4 ᎏ
13 – 5 ᎏ
12 – 3 ᎏ
16 – 9 ᎏ
3.
16 – 8 ᎏ
15 – 7 ᎏ
12 – 5 ᎏ
11 – 2 ᎏ
17 – 9 ᎏ
16 – 7 ᎏ
4. Draw a Math Mountain to solve for 16
UNIT 1 LESSON 18
– 7=
.
Equations and Equation Chains
35
1–18
Name
Show your work.
Solve the story problem. 1. Yesterday John bought 8 trucks. Today Curtis gave some of his trucks to John. If John now has 15 trucks, how many trucks did he get from Curtis?
truck
label
Complete the Partner Houses. 2.
9 7 + + +
6 + + +
+ + +
+ +
+ + + +
+ + + + Copyright © Houghton Mifflin Company. All rights reserved.
Make a ten or count on to find the total or partner. 3. 9
+
= 13
11 – 2 =
7+ 4=
4. 2
+
= 11
11 – 6 =
9+ 8=
5. 5
+
= 14
13 – 6 =
7+ 8=
13
14 5 36
UNIT 1 LESSON 18
6
7
8
Equations and Equation Chains
1–19
Name
Find the total or the partner. Draw squiggles under the partners.
5+ 9=
5+
= 14
14 – 5 =
2. 9
+ 6=
9+
= 15
15 – 9 =
3. 4
+ 7=
4+
= 11
11 – 4 =
4. 6
+ 5=
6+
= 11
11 – 6 =
5. 5
+ 7=
5+
= 12
12 – 5 =
6. 8
+ 6=
8+
= 14
14 – 8 =
3+ 9=
3+
= 12
12 – 3 =
1.
7.
12
12 3
9
3
3
8. Write Your Own Write an equation to show that an unknown number is added to 4 and the total is 13. Write and solve a story problem that uses your equation.
UNIT 1 LESSON 19
Equations from Math Mountains
37
1–19
Name
9 + 4 = 13 13 9
13 – 9 = 4 13
9 +4 ᎏ 13
4
9
4
13 – 9 ᎏ 4
Add or subtract.
5 +6 ᎏ
9 +3 ᎏ
8 +3 ᎏ
2 +9 ᎏ
6 +6 ᎏ
8 +6 ᎏ
2.
9 +6 ᎏ
4 +8 ᎏ
3 +9 ᎏ
7 +5 ᎏ
8 +7 ᎏ
7 +7 ᎏ
3.
17 – 9 ᎏ
14 – 6 ᎏ
16 – 7 ᎏ
15 – 8 ᎏ
11 – 6 ᎏ
14 – 8 ᎏ
4.
15 – 9 ᎏ
14 – 7 ᎏ
15 – 7 ᎏ
12 – 7 ᎏ
17 – 8 ᎏ
13 – 7 ᎏ
5.
18 – 9 ᎏ
7 +6 ᎏ
16 – 9 ᎏ
8 +9 ᎏ
5 +8 ᎏ
14 – 5 ᎏ
38
UNIT 1 LESSON 19
Equations from Math Mountains
Copyright © Houghton Mifflin Company. All rights reserved.
1.
1–20
Name
9 + 4 = 13 13 9
13 – 9 = 4 13
9 +4 ᎏ 13
4
9
13 – 9 ᎏ 4
4
Write the partner or total. 1.
9 +3 ᎏ
5 +6 ᎏ
7 +8 ᎏ
5 +8 ᎏ
4 +8 ᎏ
7 +4 ᎏ
2.
5 +9 ᎏ
9 +6 ᎏ
8 +6 ᎏ
6 +9 ᎏ
9 +7 ᎏ
8 +9 ᎏ
3.
15 – 9 ᎏ
11 – 8 ᎏ
13 – 4 ᎏ
14 – 5 ᎏ
11 – 3 ᎏ
11 – 6 ᎏ
4. Create Your Own Write and solve a story problem for this equation, 8 + = 12.
UNIT 1 LESSON 20
Stories from Math Mountains
39
1–20
Name
Add or subtract. 1.
8 +3 ᎏ
7 +5 ᎏ
4 +8 ᎏ
9 +9 ᎏ
9 +3 ᎏ
6 +8 ᎏ
2.
4 +7 ᎏ
7 +6 ᎏ
8 +8 ᎏ
13 – 4 ᎏ
14 – 9 ᎏ
15 – 7 ᎏ
3.
15 – 8 ᎏ
14 – 7 ᎏ
11 – 5 ᎏ
11 – 2 ᎏ
16 – 9 ᎏ
18 – 9 ᎏ
Write all of the equations for the 13, 5, 8 Math Mountain. Draw squiggles under the partners.
5 4.
40
5 + 8 = 13
UNIT 1 LESSON 20
8 13 = 5 + 8
Stories from Math Mountains
Copyright © Houghton Mifflin Company. All rights reserved.
13
1–21
Name
Compare. Write < or >. 1.
4
8
2.
10
6
3.
9
13
6.
19
9.
7
4. 15
17
5.
14
7.
10
8.
5
16
11
12 18 9
Write each set of numbers in order from least to greatest. 10. 8
5 10
11.
12.
18 12 6
19 14 15
Write each set of numbers in order from greatest to least. 13. 4
12 9
14.
15.
11 3 13
16. Logical Thinking Use the clues and numbers in the box to solve the problem. Kyle has more hats than Sue. Kim has the most hats. How many hats does each child have? Kyle
UNIT 1 LESSON 21
Kim
9 19 16
9 8 5
Sue
Compare and Order Numbers
41
1–21
Name
Find all of the equations for the Math Mountains. Draw squiggles under the partners.
15 7 1.
8
7 + 8 = 15
15 = 7 + 8
11
2.
42
4 + 7 = 11
UNIT 1 LESSON 21
7 11 = 4 + 7
Compare and Order Numbers
Copyright © Houghton Mifflin Company. All rights reserved.
4
1–22
Name
5+ 2+ 3= You can add in three different ways.
7
+3
5 + 2 + 3 = 10
5+
5
5 + 2 + 3 = 10
8+2
5 + 2 + 3 = 10
Add the three numbers.
4+ 7+ 3=
5+ 1+ 3=
6+ 3+ 4=
2. 6
+ 2+ 8=
4+ 2+ 6=
7+ 7+ 3=
3. 3
+ 4+ 7=
5+ 9+ 2=
4+ 3+ 9=
4. 7
+ 3+ 5=
2+ 4+ 4=
7+ 1+ 7=
5. 3
+ 6+ 3=
2+ 2+ 9=
6+ 1+ 3=
6. 5
+ 5+ 5=
2+ 7+ 2=
9+ 2+ 5=
1.
7. Explain Your Thinking Draw a 7, 9, 16 Math Mountain. Tell how it can help you add or subtract.
UNIT 1 LESSON 22
Add Three Numbers
43
1–22
Name
Show your work.
Solve the story problem. 1. Nancy rode her bike 7 miles. Yolanda rode her bike 6 more miles than Nancy. How many miles did Yolanda ride her bike?
bike
label
Add or subtract 0 or 1. 2. 2
+ 0=
5– 1=
5+ 0=
4– 1=
3. 7
+ 1=
6– 0=
3+ 0=
1– 1=
4. 8
+ 1=
8– 0=
9+ 1=
3– 1=
5.
11 7 7 + 4 = 11
44
UNIT 1 LESSON 22
4 11 = 7 + 4
Add Three Numbers
Copyright © Houghton Mifflin Company. All rights reserved.
Find all of the equations for the 11, 7, 4 Math Mountain. Draw squiggles under the partners.
A–1
Name
1. Measure the horizontal line segment below by marking and counting 1-cm lengths. cm 2. Draw a line segment 8 cm long. Mark and count 1-cm lengths to check the length.
Use your centimeter ruler to measure each vertical line segment. 3. 4. 5.
cm
cm
cm
6. On the Back Draw a 7-cm line segment. Draw all the partner lengths. Write the partners and the equation for each.
UNIT A LESSON 1
Rulers, Lengths, and Partner Lengths
45
Name
Copyright © Houghton Mifflin Company. All rights reserved.
Rulers, Lengths, and Partner Lengths
UNIT A LESSON 1
46
A–2
Name
Look for rectangles, squares, and triangles in your home and neighborhood. 1. List or draw objects that show squares.
2. List or draw objects that show rectangles.
3. List or draw objects that show triangles.
4. On the Back Draw a square, a rectangle, and a triangle.
UNIT A LESSON 2
Squares, Rectangles, and Triangles
47
Name
Copyright © Houghton Mifflin Company. All rights reserved.
Squares, Rectangles, and Triangles
UNIT A LESSON 2
48
A–3
Name
Use a centimeter ruler. Find the perimeter. 1.
2.
A
K J
B
D
L
P= 3.
H
C
M
cm
P= 4.
I
cm W X
K
Z
J
Y
P=
cm
P=
cm
5. On the Back Draw a square and a rectangle. Find the perimeter of each shape.
UNIT A LESSON 3
Perimeters of Squares and Rectangles
49
Name
Copyright © Houghton Mifflin Company. All rights reserved.
Perimeters of Squares and Rectangles
UNIT A LESSON 3
50
A–4
Name
Use a centimeter ruler. Find the perimeter. 1. A 2.
C
P=
B
L
N
M
P=
cm
cm
Measure. Round to the nearest centimeter. 3. about cm 4.
about
cm
Measure each side. Round to the nearest centimeter. Find the perimeter. P 5. 6. D
R
Q
E F
Perimeter is about
cm
Perimeter is about
cm
7. On the Back Use a centimeter ruler. Draw three triangles. Find the perimeter of each triangle. UNIT A LESSON 4
Perimeters of Triangles
51
Name
Copyright © Houghton Mifflin Company. All rights reserved.
Perimeters of Triangles
UNIT A LESSON 4
52
2–1
Name
Solve the story problems. 1. Brad had 14 toy boats. 5 of them floated away. How many does he have now?
Show your work.
boat
label
2. Moses collected 17 rocks. He gave some of them away. Now he has 9 rocks left. How many did he give away?
rock
label
3. Claire had 9 colored markers in her backpack when she left school. Some fell out on the way home. When she got home, she had only 5 markers. How many markers fell out of her backpack?
backpack
label
4. A honeybee visited 7 flowers in the garden. Then it visited 5 more. How many flowers did the honeybee visit in all?
honeybee
label
UNIT 2 LESSON 1
Change Plus and Change Minus Story Problems
53
2–1
Name
1. Find all of the equations for the 15, 7, 8 Math Mountain. Draw squiggles under each partner.
15 7
8
7 + 8 = 15
15 = 7 + 8
Add 3 numbers.
+ 1+ 4=
5+ 1+ 1=
2+ 2+ 4=
3. 5
+ 2+ 2=
4+ 1+ 3=
2+ 3+ 2=
5 +9 ᎏ
17 – 8 ᎏ
Add or subtract. 4.
6 +7 ᎏ
8 +8 ᎏ
11 – 3 ᎏ
14 – 6 ᎏ
5. Measurement Use your centimeter ruler. On a separate piece of paper, draw a square. Find its perimeter. 54
UNIT 2 LESSON 1
Change Plus and Change Minus Story Problems
Copyright © Houghton Mifflin Company. All rights reserved.
2. 4
2–2
Name
Draw a Proof Drawing to solve the story problems. 1. In the morning, Nick made 8 animals out of clay. In the afternoon, he made some more clay animals. Altogether, he made 15 clay animals. How many did he make in the afternoon?
Show your work.
clay animal
label
2. Carrie saw some birds in a tree. 8 flew away. 5 were left. How many birds were in the tree first?
bird
label
3. Leon and his friends made 12 snowmen. The next day, Leon saw that some of them had melted. Only 9 snowmen were left. How many melted?
snowmen
label
4. 3 lizards sat on a rock in the sun. Then 9 more came out and sat on the rock. How many lizards are on the rock now?
rock
label UNIT 2 LESSON 2
More Change Plus and Change Minus Story Problems
55
2–2
Name
5+ 4+ 3= 9
+3
5 + 4 + 3 = 12
5+
8+ 4
7
5 + 4 + 3 = 12
5 + 4 + 3 = 12
4+ 8+ 3=
8+ 8+ 2=
7+ 7+ 3=
2. 8
+ 2+ 6=
5+ 4+ 9=
9+ 2+ 5=
3. 7
+ 5+ 2=
8+ 4+ 2=
6+ 9+ 4=
4. 9
+ 3+ 4=
9+ 4+ 5=
8+ 4+ 4=
5. 5
+ 8+ 2=
2+ 9+ 6=
6+ 3+ 7=
6. 2
+ 7+ 2=
5+ 4+ 5=
8+ 2+ 7=
3+ 6+ 3=
9+ 2+ 2=
5+ 7+ 3=
8. 2
+ 6+ 4=
6+ 3+ 4=
4+ 5+ 3=
9. 2
+ 7+ 3=
4+ 2+ 5=
5+ 3+ 3=
Add. 1.
56
UNIT 2 LESSON 2
More Change Plus and Change Minus Story Problems
Copyright © Houghton Mifflin Company. All rights reserved.
7.
2–3
Name
Draw a Proof Drawing to solve the story problems. 1. There are some pigs on Mr. Smith’s farm. 8 of them are eating corn. The other 7 are drinking water. How many pigs are on Mr. Smith’s farm?
Show your work.
pig
label
2. Wendy bought 3 blue balloons and some red balloons for a party. She bought 11 balloons. How many red ones did she buy?
balloon
label
3. There are 14 children in the park. 7 of them are swinging. The rest are jumping rope. How many are jumping rope?
jump rope
label
4. Write Your Own Write a collection story problem. Then draw a picture to solve it.
UNIT 2 LESSON 3
Collection Problems
57
2–3
Name
Complete the Partner Houses. 1.
9 7 + + +
+ + + +
+ + +
6
+ + + +
+ + +
+ +
Add or subtract.
4 +7 ᎏ
5 +6 ᎏ
7 +8 ᎏ
8 +6 ᎏ
7 +7 ᎏ
9 +5 ᎏ
3.
6 +9 ᎏ
7 +6 ᎏ
8 +8 ᎏ
9 +7 ᎏ
6 +8 ᎏ
5 +8 ᎏ
4.
13 – 8 ᎏ
12 – 7 ᎏ
17 – 9 ᎏ
14 – 6 ᎏ
15 – 7 ᎏ
16 – 8 ᎏ
5.
11 – 3 ᎏ
15 – 8 ᎏ
18 – 9 ᎏ
13 – 4 ᎏ
16 – 9 ᎏ
14 – 7 ᎏ
6. Measurement Use your centimeter ruler. On a separate piece of paper, draw a segment 6 centimeters long. Draw all of its partner lengths. 58
UNIT 2 LESSON 3
Collection Problems
Copyright © Houghton Mifflin Company. All rights reserved.
2.
2–4
Name
Show your work.
Solve the story problems. 1. One bus has 6 girls and 7 boys on it. How many students are on the bus?
bus
label
2. Pang bought some apples. Bill bought 6 pears. Pang and Bill bought 13 pieces of fruit. How many apples did Pang buy?
pear
label
3. Complete the Venn diagram by adding at least two things in the circle.
sneakers boots
Group Name
4. Create Your Own Use your Venn diagram to write your own group name story problem. Solve your problem with equations,words, or Proof Drawings.
UNIT 2 LESSON 4
Story Problems with Group Names
59
2–4
Name
2+ 3+ 6= 5+ 6
2 + 3 + 6 = 11
2+ 9
8+ 3
2 + 3 + 6 = 11
2 + 3 + 6 = 11
5+ 7+ 3=
7+ 3+ 2=
9+ 2+ 6=
2. 8
+ 2+ 5=
6+ 2+ 5=
3+ 5+ 6=
3. 4
+ 3+ 4=
5+ 3+ 4=
8+ 3+ 2=
4. 6
+ 3+ 9=
7+ 7+ 2=
2+ 5+ 8=
5. 2
+ 7+ 3=
5+ 8+ 2=
6+ 5+ 5=
6. 8
+ 2+ 2=
7+ 4+ 6=
4+ 3+ 7=
5+ 6+ 4=
3+ 4+ 4=
5+ 2+ 9=
8. 2
+ 8+ 4=
6+ 4+ 4=
7+ 2+ 4=
9. 6
+ 2+ 3=
4+ 5+ 5=
9+ 3+ 4=
Add. 1.
60
UNIT 2 LESSON 4
Story Problems with Group Names
Copyright © Houghton Mifflin Company. All rights reserved.
7.
2–5
Name
Show your work.
Draw a picture to solve the story problems. 1. Peter has 13 eggs. Joe has 4 fewer than Peter. How many eggs does Joe have?
eggs
label
2. I want to give each of my 14 friends a watermelon. I have 8 watermelons in my garden. How many more do I need to grow to give each friend a watermelon?
watermelon
label
3. Lë has 5 lemons. Tina has 7 more than Lë. How many lemons does Tina have?
lemon
label
Write Your Own Complete this comparison story problem. Then draw a picture to show how to solve it. 4. I have 12 _________________. My friend has _________________ fewer _________________ than I have. How many _________________ does my friend have?
label UNIT 2 LESSON 5
Comparison Story Problems
61
2–5
Name
Find all of the equations for the 13, 4, and 9 Math Mountain. Draw squiggles under the partners. 1. 13
4
9
4 + 9 = 13
13 = 4 + 9
Show your work.
Solve the story problems.
pepper
Copyright © Houghton Mifflin Company. All rights reserved.
2. 8 peppers are growing in Dana’s garden. Dana has 9 peppers in the kitchen. How many peppers does Dana have altogether?
label
3. Jonathan had 14 files on his CD. Then he deleted 6. How many files were left?
CD
label
4. Measurement Use your centimeter ruler. On a separate piece of paper, draw a rectangle. Find its perimeter. 62
UNIT 2 LESSON 5
Comparison Story Problems
2–6
Name
Show your work.
Solve the story problems. 1. Parker and Natu went to the store to buy sunglasses. Parker paid $9 for his sunglasses. Natu paid $6 more than Parker. How much did Natu pay for his sunglasses?
sunglasses
label
2. A small ball costs 8 cents. A ring costs 8 more cents than the small ball. How many cents does a ring cost?
ring
label
3. If Jared gives away 3 strawberries, Jared will have as many strawberries as Phil. Phil has 8 strawberries. How many strawberries does Jared have?
strawberries
label
4. Andrew has 11 soccer balls. William has 3 soccer balls. How many fewer soccer balls does William have than Andrew?
soccer ball
label UNIT 2 LESSON 6
More Comparison Story Problems
63
2–6
Name
Fill in the Venn diagrams to show some things that belong together. 1.
basketball
Group Name 2.
apple
Group Name Copyright © Houghton Mifflin Company. All rights reserved.
3. You Decide Create your own Venn diagram. Write a group name.
Group Name
64
UNIT 2 LESSON 6
More Comparison Story Problems
2–7
Name
Solve the story problems. 1. Susan rode her bicycle for 14 blocks. Awan rode his bicycle for 8 blocks. How many fewer blocks did Awan ride than Susan?
Show your work.
bicycle
label
2. Eden has 7 blackberries. Her father gave her 9 more. How many blackberries does Eden have now?
blackberries
label
3. There were 9 children on the bus. At the first bus stop, some children got off. 7 children are still on the bus. How many children got off at the first bus stop?
bus stop
label
4. The clown had 12 balloons. He gave away 4 balloons. How many balloons did he keep?
balloons
label
UNIT 2 LESSON 7
Mixed Story Problems
65
2–7
Name
Add or subtract.
4+ 1=
3– 0=
6+ 0=
9– 1=
2. 8
+ 0=
7– 1=
9+ 1=
4– 0=
3. 7
+ 1=
5– 0=
4+ 0=
8– 1=
1.
Show your work.
Solve the story problem. 4. Mr. Tyson grilled 14 hot dogs. His family ate some. Now he has 6 hot dogs left. How many hot dogs did his family eat?
hot dog
label
8 4
5 + +
+ +
+ +
+
+ + + +
+ + +
6. Measurement Use your centimeter ruler. On a separate piece of paper, draw a triangle. Find its perimeter. 66
UNIT 2 LESSON 7
Mixed Story Problems
Copyright © Houghton Mifflin Company. All rights reserved.
Complete the Partner Houses. 5.
2–8
Name
For problems with not enough information, add the information. For problems with extra information, cross out the extra information. Then solve the problem. Show your work.
1. There are 14 children in music class. Some children left to go to the library. How many children are still in music class?
library
label
2. Rosa has 5 gold coins and 6 silver coins in her collection. Her brother gave her 7 more gold coins. How many gold coins does Rosa have in all?
coin
label
3. There were 7 bicycles in the rack at school. Then some more children put their bicycles in the rack. How many bicycles are in the rack now?
bicycle
label UNIT 2 LESSON 8
Problems with Not Enough or Extra Information
67
2–8
Name
Show your work.
Solve the story problems. 1. Bernard had 9 acorns. Manuel had 6 fewer acorns than Bernard. How many acorns does Manuel have?
acorn
label
2. Together Roma and Grace have 12 beads. Grace has 4 beads. How many beads does Grace have to buy to have the same as Roma?
beads
label
lion
label
4. There are 13 children on the baseball team. There are 7 children on the swim team. How many more children are on the baseball team than on the swim team?
baseball
label
68
UNIT 2 LESSON 8
Problems with Not Enough or Extra Information
Copyright © Houghton Mifflin Company. All rights reserved.
3. There are 14 lions at the zoo. The zoo has to get 6 tigers to have as many tigers as lions. How many tigers does the zoo have?
2–9
Name
Cross out the extra information. Write hidden or missing information. Then solve the problems. 1. Joel knows the names of 9 different dinosaurs. His friend Peja knows the names of 6 dinosaurs and 8 birds. How many dinosaur names do the two friends know together?
Show your work.
dinosaur
label
2. I have a ring for each finger of both hands. I want to buy 4 more rings. How many rings will I have then?
hands
label
3. Erica had 6 coins in her coin collection. She went to a coin show this week and bought some more. How many coins does she have now?
coin
label UNIT 2 LESSON 9
Problems with Hidden Information and Mixed Practice
69
2–9
Name
Find all of the equations for the 15, 6, 9 Math Mountain. Draw squiggles under the partners. 1. 15
6
9
6 + 9 = 15
15 = 6 + 9
Show your work.
Solve the story problem.
grapes
label
Make a ten or count on to find the partner. 3. 6
+
= 13
17 – 9 =
5+
= 14
4. 8
+
= 15
14 – 6 =
15 – 7 =
5. Measurement Use your centimeter ruler. On a separate piece of paper, draw a rectangle. Find its perimeter. 70
UNIT 2 LESSON 9
Problems with Hidden Information and Mixed Practice
Copyright © Houghton Mifflin Company. All rights reserved.
2. Sofia has 13 pounds of grapes in her basket. She has 6 more pounds than Tony has in his basket. How many pounds of grapes are in Tony’s basket?
2–10
Name
Show your work.
Solve the story problems. 1. Bessie counted 5 fish, 3 turtles, and some frogs. She counted 14 animals altogether. How many frogs are there?
turtle
label
2. Todd had 4 red blocks and 5 green blocks. Then his sister gave him some blue blocks. Todd has 17 blocks now. How many blue blocks did his sister give him?
block
label
3. There were 15 cups of water in the jug. Jacob poured out 9 cups of water for people at the race to drink. Then his uncle put 7 more cups of water into the jug. How many cups of water are in the jug now?
jug
label
4. Megan had 12 dollars in her pocket. She spent 6 dollars on lunch. Then a friend gave her back the 3 dollars he borrowed yesterday. How much money does Megan have now?
lunch
label UNIT 2 LESSON 10
Two-Step Story Problems
71
2–10
Name
Solve the story problems. 1. Alvin had a dozen pretzels in his bag. For lunch, he ate 9 of them. How many pretzels does Alvin have left?
Show your work.
pretzel
label
2. Ed has 10 pairs of shoes in his closet. Alicia has a different pair of shoes for each day of the week. How many pairs of shoes do Ed and Alicia have together?
pair of shoes
label
parakeet Copyright © Houghton Mifflin Company. All rights reserved.
3. Carlos has 8 parakeets as pets. Jeff has a pair of parrots. How many birds do Carlos and Jeff have together?
label
4. Samuel has 12 horseshoes in his shed. He had to put all new horseshoes on his horse today. How many horseshoes does Samuel have left in his shed?
horseshoe
label
72
UNIT 2 LESSON 10
Two-Step Story Problems
2–11
Name
Solve the story problems. 1. Jerry ate 6 pieces of pizza. Then he ate 7 more pieces. Vesta ate 9 pieces of pizza. How many fewer pieces of pizza did Vesta eat than Jerry?
Show your work.
pizza
label
2. Arnez has 2 angelfish and 5 goldfish. Carmen has 2 angelfish and 6 goldfish. How many more fish does Carmen have than Arnez?
angelfish
label
3. Chin had 9 shrimp. He ate 3. Then his mother gave him 9 more. How many shrimp does Chin have now?
shrimp
label
4. I bought 3 bananas, 5 apples, and some oranges. Altogether, I bought 15 pieces of fruit. How many oranges did I buy?
orange
label
UNIT 2 LESSON 11
Strategies Using Doubles
73
2–11
Name
Add or subtract. 1.
7 +8 ᎏ
6 +5 ᎏ
9 +2 ᎏ
7 +5 ᎏ
6 +8 ᎏ
3 +8 ᎏ
2.
13 – 4 ᎏ
15 – 8 ᎏ
17 – 9 ᎏ
16 – 7 ᎏ
18 – 9 ᎏ
11 – 3 ᎏ
Solve the story problems. 3. Altogether, Adela and Ben have 13 pets. Ben has 6 dogs. Adela has some cats. How many cats does Adela have?
Show your work.
pets
label Copyright © Houghton Mifflin Company. All rights reserved.
4. Lonnie planted 16 seeds in his backyard. 4 were sunflower, 6 were tulip, and some were daisy. How many daisy seeds did he plant?
seeds
label
5. Measurement Use your centimeter ruler. On a separate piece of paper, draw a segment 8 centimeters long. Draw all of its partner lengths.
74
UNIT 2 LESSON 11
Strategies Using Doubles
2–12
Name
Show your work.
Solve the story problems. 1. The school bus will hold 16 children. 3 girls and 6 boys are already on the bus. How many more children can fit on the bus?
school bus
label
2. Some kites flew in the air. Then 7 of them got caught in trees. Now only 8 kites are flying. How many kites were flying in the beginning?
kite
label
3. Sheldon blew 13 bubbles. 6 of them popped, so he blew 9 more bubbles. How many bubbles are there now?
bubbles
label
4. Explain Your Thinking Explain each step you took to solve problem 3.
UNIT 2 LESSON 12
Mixed Practice and Writing Story Problems
75
2–12
Name
Solve the story problems. 1. Rachel counted 4 cows, 3 goats, and some horses at the farm. She counted 16 animals. How many horses were at the farm?
Show your work.
cow
label
2. Allison had 8 dollars in her pocket. Her mother gave her 7 more dollars. Then she spent 5 dollars on lunch. How much money does Allison have now?
dollar
label
sandwich
label
4. Summarize Explain each step you took to solve problem 3.
76
UNIT 2 LESSON 12
Mixed Practice and Writing Story Problems
Copyright © Houghton Mifflin Company. All rights reserved.
3. Students made 17 sandwiches for the picnic. They made 3 chicken sandwiches, 6 roast beef sandwiches, and some cheese sandwiches. How many cheese sandwiches did they make?
2–13
Name
Cross out any extra information. Solve the story problems. 1. Edward and his sister read 15 books to their little brother. Edward read 8 of them. His sister ate 2 oranges while Edward read. How many books did his sister read?
Show your work.
book
label
2. Amy had 5 good ideas while taking a walk. Then she had some more good ideas while riding her bike. Altogether she had a total of 12 good ideas. How many good ideas did she have while riding her bike?
bike
label
3. Valeria made 13 bracelets. 5 had beads in them. The rest did not. How many bracelets did not have any beads?
bracelet
label
4. Explain Choose one of the three problems. Explain all of the steps you took to solve the problem.
UNIT 2 LESSON 13
Mixed Practice
77
2–13
Name
Show your work.
Solve the story problems. 1. Julio has 17 pairs of shorts. Brian has 9 pairs of shorts. How many more pairs of shorts does Brian need to get to have the same as Julio?
pair of shorts
label
2. Shelby has 8 clocks in her house. Theo has 4 clocks in his house. There are 5 clocks in Heather’s house. How many clocks do the three of them have altogether?
clock
label
3. 3
+ 8+ 2=
2+ 3+ 6=
2+ 9+ 4=
4. 7
+ 7+ 4=
6+ 6+ 4=
4+ 7+ 3=
5. 6
+ 2+ 4=
9+ 7+ 2=
6+ 5+ 3=
6. Measurement Use your centimeter ruler. On a separate piece of paper, draw a segment 10 centimeters long. Draw all of its partner lengths. 78
UNIT 2 LESSON 13
Mixed Practice
Copyright © Houghton Mifflin Company. All rights reserved.
Add 3 numbers.
B–1
Name
Use a centimeter ruler. Find the perimeter of each shape. 1.
2.
A
2 cm
G
3.
D
2 cm
C
2 cm
B
F E I
P= 4.
P=
cm
P=
cm
5. N
J
H
6.
O
cm
R
S
U
T
M
K Q
L
P= 7.
P=
cm
V
P
W
8.
9.
A
D
Y
P=
B
cm E
F
H
G
C
X
cm
P=
cm
P=
cm
P=
cm
10. On the Back Draw three triangles. • In the first triangle, all sides have the same length. • In the second triangle, only two sides have the same length. • In the third triangle, each side has a different length. UNIT B LESSON 1
Share Observations About Geometry
79
Name
Copyright © Houghton Mifflin Company. All rights reserved.
Share Observations About Geometry
UNIT B LESSON 1
80
B–2
Name
In each row draw three more parallelograms. The first row is done for you. 1.
2.
3.
4.
5.
6. On the Back Draw three different parallelograms.
UNIT B LESSON 2
Define Parallel Lines and Parallelograms
81
Name
Copyright © Houghton Mifflin Company. All rights reserved.
82
UNIT B LESSON 2
Define Parallel Lines and Parallelograms
B–3
Name
Place a check mark beside each word that names the shape. 1. 2.
quadrilateral
quadrilateral
parallelogram
parallelogram
rectangle
rectangle
square
square
3.
4.
quadrilateral
quadrilateral
parallelogram
parallelogram
rectangle
rectangle
square
square
5.
6.
quadrilateral
quadrilateral
parallelogram
parallelogram
rectangle
rectangle
square
square
7. On the Back Draw three different quadrilaterals that have the same perimeter.
UNIT B LESSON 3
Relate Different Quadrilaterals
83
Name
Copyright © Houghton Mifflin Company. All rights reserved.
Relate Different Quadrilaterals
UNIT B LESSON 3
84
3–1
Name
1. Write the numbers going down to see the tens.
1
11
41
71
2
92
3
63 44
74
25
95 56 37
18
88 69
10
20
50
100
2. What number comes after 100? 3. What number comes next? UNIT 3 LESSON 1
Ones, Tens, and Hundreds
85
3–1
Name
Solve each story problem. 1. Rama bought 6 onions and 8 carrots. Teresa bought 5 eggplants. How many fewer vegetables did Teresa buy than Rama?
Show your work.
eggplant
label
2. There were 18 people at Melvin’s party. 7 were girls and the rest were boys. Then 5 boys left. How many boys are still at the party?
party hat
label
computer
Copyright © Houghton Mifflin Company. All rights reserved.
3. There are 9 computers in the computer lab. 7 girls and 8 boys want to use the computers. How many children do not get to use a computer?
label
4. Melissa has 4 red feathers, 5 purple feathers, and some yellow feathers in her hat. She has 16 feathers in total. How many feathers are yellow?
feather
label 86
UNIT 3 LESSON 1
Ones, Tens, and Hundreds
3–2
Name
Add. 1.
50 + 40 =
80 + 10 =
60 + 20 =
5+ 4=
8+ 1=
6+ 2=
+ 70 =
30 + 70 =
40 + 30 =
1+ 7=
3+ 7=
4+ 3=
+ 60 =
20 + 80 =
50 + 40 =
3+ 6=
2+ 8=
5+ 4=
+ 30 =
70 + 20 =
40 + 60 =
5+ 3=
7+ 2=
4+ 6=
+ 10 =
50 + 20 =
20 + 30 =
9+ 1=
5+ 2=
2+ 3=
+ 10 =
50 + 30 =
40 + 20 =
3+ 1=
5+ 3=
4+ 2=
2. 10
3. 30
4. 50
5. 90
6. 30
UNIT 3 LESSON 2
Draw Quick Tens and Quick Hundreds
87
3–2
Name
Fill in the Venn diagram to show some things that belong together. 1. dogs pets Group Name
Write the Math Mountain equations. Draw squiggles under the partners. 2. 12
8 + 4 = 12
8
4
12 = 8 + 4
3. 5
+ 0=
10 – 0 =
2– 1=
4. 2
+ 1=
4– 0=
9+ 1=
5. Measurement On a separate piece of paper, draw 3 shapes with the same perimeter. 88
UNIT 3 LESSON 2
Draw Quick Tens and Quick Hundreds
Copyright © Houghton Mifflin Company. All rights reserved.
Add or subtract.
3–3
Name
Draw these numbers using hundred boxes, ten sticks, and circles. Then write the hundreds, tens, and ones. 1.
2.
3.
176
143
100 + 70 + 6
+
184 +
+
What numbers are shown here?
+
H = Hundreds, T = Tens, O = Ones
4.
5.
1
H
2
T
7
O
127 = 100 + 20 + 7
=
6.
H
T
+
+
H
T
+
+
O
7.
=
UNIT 3 LESSON 3
H
T
+
+
O
=
Represent Numbers in Different Ways
O
89
3–3
Name
Show your work.
Solve each story problem. 1. Erin bought 4 red pens, 5 blue pens, and some black pens. She bought a total of 15 pens. How many black pens did Erin buy?
pen
label
2. There are 18 chairs in the classroom. 7 boys and 6 girls need to sit in the classroom. How many chairs will not be used?
chair
label
muffin Copyright © Houghton Mifflin Company. All rights reserved.
3. Nicole made 20 muffins. 8 were blueberry muffins, and the rest were apple muffins. Then she gave away 5 apple muffins. How many apple muffins does she have now?
label
4. The pet store had 15 birds and some rabbits. They had 6 fewer rabbits than birds. Today they sold 3 rabbits. How many rabbits does the store have left?
rabbit
label 90
UNIT 3 LESSON 3
Represent Numbers in Different Ways
3–4
Name
Add.
25 + 7 =
2.
24 + 3 =
3.
73 + 3 =
+ 6=
5.
59 + 5 =
6.
69 + 4 =
26 + 8 =
8.
67 + 8 =
9.
37 + 2 =
10. 33
+ 7=
11.
56 + 6 =
12.
47 + 5 =
13. 40
+ 60 =
20 + 80 =
30 + 30 =
4+ 6=
2+ 8=
3+ 3=
+ 20 =
70 + 20 =
40 + 80 =
5+ 2=
7+ 2=
4+ 8=
+ 40 =
60 + 20 =
20 + 30 =
5+ 4=
6+ 2=
2+ 3=
+ 60 =
10 + 50 =
40 + 40 =
3+ 6=
1+ 5=
4+ 4=
1.
4. 37 7.
14. 50
15. 50
16. 30
UNIT 3 LESSON 4
Add 2-Digit and 1-Digit Numbers
91
3–4
Name
Add the 3 numbers. 1.
3+ 2+ 6=
2.
6+ 3+ 3=
3.
7+ 3+ 2=
4.
3+ 5+ 6=
5.
9+ 4+ 2=
6.
5+ 6+ 3=
7.
5+ 8+ 5=
8.
8+ 3+ 7=
9.
3+ 9+ 6=
10.
7+ 3+ 7=
11.
9+ 3+ 3=
12.
8+ 5+ 4=
15.
9
8 + + + +
+ + +
6 + + +
+ +
+ + + +
+ + + +
16. Measurement On a separate piece of paper, draw 3 shapes with the same perimeter. 92
UNIT 3 LESSON 4
Add 2-Digit and 1-Digit Numbers
Copyright © Houghton Mifflin Company. All rights reserved.
Complete the Partner Houses. 13. 14.
3–5
Name
Group the 10-partners. The first one is done for you. 1.
3 + 7 = 10
2. 9
+ 1 = 10
3. 4
+ 6 = 10
Group the 100-partners. The first one is done for you. 4. 30
+ 70 = 100
5. 90
+ 10 = 100
6. 40
+ 60 = 100
Add.
80 + 60 = 8+ 6=
60 + 90 = 6+ 9=
60 + 70 = 6+ 7=
8. 70
+ 50 = 7+ 5=
30 + 90 = 3+ 9=
90 + 60 = 9+ 6=
9. 40
+ 90 = 4+ 9=
90 + 80 = 9+ 8=
80 + 50 = 8+ 5=
7.
UNIT 3 LESSON 5
Find Decade Partners
93
3–5
Name
Cross out the extra information. Solve the story problems. 1. There were 6 trains and 2 buses at Main Street Station. 9 more buses and 4 more trains just arrived. How many buses are at the station now?
Show your work.
bus station
label
2. The pet store had 12 kittens and 11 puppies. Today they sold 3 puppies. How many puppies does the pet store still have?
kitten
label Copyright © Houghton Mifflin Company. All rights reserved.
3. The farmer has 8 cows and 6 turkeys. He just bought 7 more turkeys. How many turkeys does the farmer have now?
turkey
label
4. Jane checked out 9 nature books and 7 adventure books from the library. Then she returned 5 nature books. How many nature books does she still have?
nature book
label 94
UNIT 3 LESSON 5
Find Decade Partners
3–6
Name
Solve each story problem. 1. Mina picked 63 flowers from her garden. She can put 10 flowers in each vase. How many vases will be filled up? How many extra flowers will she have? vases
extra flowers
2. Luisa has 85 coupons. She can trade in 10 of them for a toy. How many toys can Luisa get for her coupons? How many coupons will she have left over? toys
coupons left over
3. Mustafa wants to buy books that cost 10 dollars each. He has 45 dollars. How many books can he buy? How many dollars will he have left over? books
dollars left over
4. The track team has 72 water bottles. They pack them 10 to a box. How many boxes can they fill with bottles? How many water bottles will be left over? boxes UNIT 3 LESSON 6
water bottles left over Combine Ones, Tens, and Hundreds
95
3–6
Name
What numbers are shown here?
H = Hundreds, T = Tens, O = Ones
1.
2.
=
H
T
+
+
O
=
3.
H
T
+
+
H
T
+
+
O
4.
=
H
T
+
+
O
=
Solve each story problem.
Show your work.
Copyright © Houghton Mifflin Company. All rights reserved.
5. Lee bought 7 pencils on Friday. On Saturday she bought 3 erasers and 4 pencils. How many pencils did she buy altogether on those two days?
O
pencil
label
6. Corey saw 5 ducks. James saw 13 ducks. How many fewer ducks did Corey see than James?
duck
label
7. Measurement On a separate piece of paper, draw 3 shapes with the same perimeter.
96
UNIT 3 LESSON 6
Combine Ones, Tens, and Hundreds
3–8
Name
Add ones, tens, or a hundred.
9+ 8=
7+ 7=
9+ 5=
90 + 80 =
70 + 70 =
90 + 50 =
6+ 8=
8+ 3=
9+ 7=
60 + 80 =
80 + 30 =
90 + 70 =
7+ 5=
6+ 9=
8+ 8=
70 + 50 =
60 + 90 =
80 + 80 =
8+ 7=
6+ 5=
9+ 4=
80 + 70 =
60 + 50 =
90 + 40 =
1.
2.
3.
4.
5. 100
+ 48 =
6.
21 + 100 =
7.
100 + 2 =
10 + 48 =
21 + 10 =
10 + 2 =
1 + 48 =
21 + 1 =
1+ 2=
UNIT 3 LESSON 8
Invent 2-Digit Addition
97
3–8
Name
Add.
28 + 19 ᎏ
52 + 33 ᎏ
59 + 27 ᎏ
2.
45 + 16 ᎏ
54 + 37 ᎏ
38 + 21 ᎏ
3.
25 + 62 ᎏ
23 + 48 ᎏ
55 + 35 ᎏ
4.
77 + 14 ᎏ
56 + 29 ᎏ
41 + 38 ᎏ
98
UNIT 3 LESSON 8
Copyright © Houghton Mifflin Company. All rights reserved.
1.
Invent 2-Digit Addition
3–9
Name
Show your work.
Solve the story problems. 1. Kivy made 34 baskets. Her father made 58 baskets. How many baskets did they make in all?
basket
label
2. Glen printed 67 posters yesterday and 86 more today. How many posters did he print in total?
poster
label
Add. 3.
39 + 44 ᎏ
67 + 56 ᎏ
47 + 98 ᎏ
4.
48 + 33 ᎏ
85 + 68 ᎏ
94 + 57 ᎏ
UNIT 3 LESSON 9
Addition–Show All Totals Method
99
3–9
Name
Add.
7+ 3=
6+ 9=
8+ 3=
70 + 30 =
60 + 90 =
80 + 30 =
6+ 6=
4+ 8=
9+ 9=
60 + 60 =
40 + 80 =
90 + 90 =
6+ 4=
5+ 2=
100 + 14 =
60 + 40 =
50 + 20 =
10 + 14 =
1.
2.
3.
1 + 14 =
4.
5.
6.
127 100 + 20 + 7
109 +
133 +
+
+
7. Measurement On a separate piece of paper, draw 3 shapes with the same perimeter. 100
UNIT 3 LESSON 9
Addition–Show All Totals Method
Copyright © Houghton Mifflin Company. All rights reserved.
Draw these numbers using boxes, sticks, and circles. Then write the hundreds, tens, and ones.
3–10
86 + 57 130 + 13 143
Name
or
86 + 57 1 143 130 + 13 = 143
Add. Use any method. 1.
97 + 45 ᎏ
54 + 39 ᎏ
35 + 47 ᎏ
2.
56 + 77 ᎏ
76 + 88 ᎏ
86 + 65 ᎏ
3.
47 + 73 ᎏ
87 + 49 ᎏ
57 + 48 ᎏ
UNIT 3 LESSON 10
Addition–New Groups Below Method
101
3–10
Name
Solve each story problem. 1. Greg had some library books. He took 8 books back to the library. Now he has 8 books. How many books did he have in the beginning?
Show your work.
library
label
2. Asha drew some pictures. Then she drew 5 more pictures. Now she has 14 pictures. How many did she draw first?
picture
label
crackers Copyright © Houghton Mifflin Company. All rights reserved.
3. Sam’s mom gave him some crackers. He ate 9 crackers. He has 6 crackers left. How many crackers did his mom give him?
label
4. Some children were playing at the park. 7 children came. There are 14 children playing at the park now. How many children were playing at the park to start?
park
label 102
UNIT 3 LESSON 10
Addition–New Groups Below Method
3–11
75 + 49 ᎏᎏ 110 + 14 ᎏᎏ 124
Name
or
75 + 49 1 ᎏᎏ 124 110 + 14 = 124
Add. Use any method. 1.
83 + 79 ᎏ
65 + 47 ᎏ
78 + 34 ᎏ
2.
74 + 99 ᎏ
48 + 87 ᎏ
92 + 59 ᎏ
3.
63 + 77 ᎏ
75 + 48 ᎏ
86 + 32 ᎏ
UNIT 3 LESSON 11
Practice Addition with Totals Over 100
103
3–11
Name
Show your work.
Solve the story problems. 1. The Denny Tree Farm has 84 pine trees. Baker’s Acres has 37 pine trees. How many pine trees do both places have?
pine tree
label
2. Lin found some shells. Lee found 9 more shells. They now have 17 shells. How many shells did Lin find?
shell
label
watch
label
4. The Day Care Center has 29 teddy bears. They just ordered 75 more. How many teddy bears will the Day Care Center have when the order comes in?
teddy bear
label
5. Measurement On a separate piece of paper, draw 3 shapes with the same perimeter. 104
UNIT 3 LESSON 11
Practice Addition with Totals Over 100
Copyright © Houghton Mifflin Company. All rights reserved.
3. The jewelry store has 48 watches on sale. The pharmacy next door has 23 watches on sale. How many watches do the two stores have to sell in all?
3–12
Name
Be the helper. Is the answer OK? Write yes or no. If no, fix the mistakes and write the correct answer.
43 + 28 1 ᎏ 71
1.
27 + 45 1 ᎏ 72
Yes
45 + 23 1 ᎏ 78
OK?
2.
68 + 26 ᎏ1 84
OK?
3.
OK?
OK?
OK? No
45 + 23 1 ᎏ 78 68 32 + 29 ᎏ 511
4.
16 + 67 2 ᎏ 91
OK?
5.
59 + 25 ᎏ 74
OK?
6.
OK?
7.
85 + 56 1 ᎏ 141
OK?
8.
58 + 99 ᎏ 147
OK?
9.
OK?
UNIT 3 LESSON 12
51 + 44 ᎏ 95
73 + 82 1 ᎏ 165
Choose an Addition Method
105
3–12
Name
Add. Use any method.
42 + 74 ᎏ
88 + 91 ᎏ
61 + 73 ᎏ
2.
75 + 33 ᎏ
42 + 97 ᎏ
27 + 71 ᎏ
3.
95 + 61 ᎏ
22 + 93 ᎏ
81 + 71 ᎏ
4.
36 + 92 ᎏ
82 + 75 ᎏ
54 + 73 ᎏ
106
UNIT 3 LESSON 12
Choose an Addition Method
Copyright © Houghton Mifflin Company. All rights reserved.
1.
3–13
Name
Solve each story problem. 1. Here is the path Fluffy took on her walk today. How many yards did she walk?
label
Flower Beds
26 yards Trees
26 yards
26 yards
Home
2. Colin wants to decorate a picture frame with gold ribbon. How long should the ribbon be if he wants to outline the whole frame?
58 cm 35 cm
35 cm 58 cm
label
3. Here is a top view drawing of the new sandbox for the park. Each side is 16 feet long. A wooden seat runs along the perimeter. How long is the seat?
16 feet
label
UNIT 3 LESSON 13
2-Digit Addition in Perimeter Problems
107
3–13
Name
Show your work.
Solve each story problem. 1. Sean has a collection of 48 recipes. Hannah has a collection of 53 recipes. How many recipes do they have in all?
recipes
label
2. Todd read 77 pages on Saturday. He read 93 pages on Sunday. How many pages did he read in the two days?
pages
label
Add.
64 + 87 ᎏ
19 + 78 ᎏ
13 + 79 ᎏ
4.
45 + 57 ᎏ
26 + 97 ᎏ
86 + 59 ᎏ
5. Measurement On a separate piece of paper, draw 3 shapes with the same perimeter. 108
UNIT 3 LESSON 13
2-Digit Addition in Perimeter Problems
Copyright © Houghton Mifflin Company. All rights reserved.
3.
3–14
Name
Here are some more fruits and vegetables from the Farm Stand. Answer the questions below. Then draw the money amount. The first one is done for you.
Apples 79¢
Eggplant 96¢
Pears 58¢
Green Onions 67¢
How much would you spend if you wanted to buy 1. apples and 1 dollar 10¢ 164 oranges? ¢
10¢ 10¢ 10¢ 10¢ 10¢ 1¢
2. apples and green onions?
¢
3. pears and green onions?
¢
4. pears and apples?
¢
5. eggplant and oranges?
¢
UNIT 3 LESSON 14
Oranges 85¢
1¢
1¢
1¢
Buy with Pennies and Dimes
109
3–14
Name
Under the coins write the total amount of money so far. The first one is done for you. 1. 10¢ 10¢ 5¢ 5¢ 1¢
10¢ 2. 10¢
3. 10¢
1¢
20¢
25¢
30¢
31¢
32¢
10¢
10¢
10¢
10¢
1¢
5¢
5¢
5¢
1¢
1¢
1¢
1¢
1¢
1¢
1¢
5. Draw the coins you could use to show 85¢. Use D , N , and P .
110
UNIT 3 LESSON 14
Buy with Pennies and Dimes
Copyright © Houghton Mifflin Company. All rights reserved.
4. 10¢
5¢
3–15
Name
Here are some more foods from the snack bar. Answer the questions below. Then draw the money amounts using dollars, dimes, nickels, and pennies.
Hot Dog 87¢
Peach 76¢
Sandwich 98¢
Corn on the Watermelon Cob 65¢ 59¢
How much would you spend if you wanted to buy 1. a hot dog and corn on the cob?
¢
2. a sandwich and a peach?
¢
3. watermelon and a hot dog?
¢
4. a sandwich and watermelon?
¢
5. Problem Solving Ivan has 6 coins. The value of his coins is 37¢. Three of his coins are dimes. What are the other 3 coins?
UNIT 3 LESSON 15
Buy with Pennies, Nickels, and Dimes
111
3–15
Name
Show your work.
Solve each story problem. 1. There are 53 green peppers in the vegetable bin. There are 59 yellow peppers in the vegetable bin. How many green and yellow peppers are there in all?
peppers
label
2. Seth found some rocks in a field. Mandy found 5 more rocks. There are now 13 rocks. How many rocks did Seth find?
rocks
label
truck
label
Add. 4.
49 + 85 ᎏ
93 + 56 ᎏ
61 + 39 ᎏ
5. Measurement On a separate piece of paper, draw 3 shapes with the same perimeter. 112
UNIT 3 LESSON 15
Buy with Pennies, Nickels, and Dimes
Copyright © Houghton Mifflin Company. All rights reserved.
3. Ted’s Trucking Company had 84 trucks. They just bought 28 new trucks. How many trucks do they have now?
3–16
Name
Complete the number sequence. Write the rule. 1.
12, 14, 16,
,
,
,
Rule: n
2.
25, 30, 35,
,
,
,
Rule: n
3.
49, 52, 55,
,
,
,
Rule: n
4.
80, 90, 100,
5.
46, 56, 66,
,
,
,
Rule: n
6.
58, 56, 54,
,
,
,
Rule: n
7.
39, 36, 33,
,
,
,
Rule: n
8.
48, 42, 36,
,
,
,
Rule: n
9.
70, 65, 60,
,
,
,
Rule: n
,
,
+2
Rule: n
,
10.
126, 130, 134,
,
,
,
Rule: n
11.
135, 140, 145,
,
,
,
Rule: n
– 2
12. Explain Your Thinking Which takes less time? Explain. • Skip count by 2s from 2 to 100. • Skip count by 5s from 5 to 100.
UNIT 3 LESSON 16
Skip-Counting and Addition Practice
113
3–16
Name
Complete the number sequence. Write the rule.
15, 21, 27,
,
,
Rule: n
2.
39, 35, 31,
,
,
Rule: n
3.
29, 34, 39,
,
,
Rule: n
4.
43, 39, 35,
,
,
Rule: n
5.
66, 69, 72,
,
,
Rule: n
6.
43, 35, 27,
,
,
Rule: n
7.
84, 86, 88,
,
,
Rule: n
8.
52, 46, 40,
,
,
Rule: n
9.
21, 29, 37,
,
,
Rule: n
10. 90,
87, 84,
,
,
Rule: n
11. 11,
17, 23,
,
,
Rule: n
12. 49,
56, 63,
,
,
Rule: n
13. 37,
48, 59,
,
,
Rule: n
14. 84,
75, 66,
,
,
Rule: n
114
UNIT 3 LESSON 16
+6
Skip-Counting and Addition Practice
Copyright © Houghton Mifflin Company. All rights reserved.
1.
3–17
Name
Show your work.
Solve each story problem. 1. The theater can hold 100 people. We sold 62 tickets to the play. How many more tickets do we have to sell to fill the theater?
theater
label
2. My orchard has 82 trees in it. 47 are lime trees. The rest are lemon trees. How many lemon trees do I have?
orchard
label
3. There are 75 seats on the airplane. 41 of them are near a window. The rest are not. How many seats are not near a window?
window
label
4. The gift store sold 93 plant and animal key chains. 48 were plant key chains. How many were animal key chains?
key chain
label
5. Find the unknown partner.
100 68 UNIT 3 LESSON 17
100 19
93 49
54 18 Find 2-Digit Partners
115
3–17
Name
Here are some more foods from the snack bar. Answer the questions below. Then draw the money amount.
Hot Dog 87¢
Grapes 78¢
Yogurt 68¢
Popcorn 45¢
Fruit Juice 79¢
How much would you spend if you wanted to buy 1. fruit juice and a hot dog? ¢ 2. yogurt and popcorn?
¢
3. Dora caught 4 butterflies in her net. Joel caught some more butterflies. Now there are 13 butterflies. How many butterflies did Joel catch?
butterflies
label
4. Measurement On a separate piece of paper, draw 3 shapes with the same perimeter. 116
UNIT 3 LESSON 17
Find 2-Digit Partners
Copyright © Houghton Mifflin Company. All rights reserved.
Show your work.
Solve the story problem.
C–1
Name
Write the time in two different ways. 1. 2. 12 11 10
1
9
11 12 1 10 2
2 3
8
7
5
6
9
4
3 8
7
6
o’clock
5
9 7
6
5
3 8
7
6
1
9
1 o’clock
6.
2 3
8
4
7
6
5
4
6 o’clock
:
4
:
11 10
2
5
o’clock
:
3 8
9
4
Draw the hands on each analog clock and write the time on each digital clock below. 4. 5. 12 12 1
11 12 1 10 2
o’clock
4:00 :00
11 10
3.
:
11 12 1 10 2 9
3 8
7
6
5
4
12 o’clock
:
For each activity, ring the appropriate time. 7. Eat an afternoon snack. 3:00 A.M.
2:00 P.M.
6:00 P.M.
8. Go to a movie at night. 8:00 A.M.
12:00 NOON
7:00 P.M.
9. On the Back Draw a picture of what you might do at 7:00 P.M. Draw a clock face with hands to show the time. UNIT C LESSON 1
Hours on the Clock
117
Name
Copyright © Houghton Mifflin Company. All rights reserved.
Hours on the Clock
UNIT C LESSON 1
118
C–2
Name
Write the time on the digital clocks. 1. 2. 12 12 11 10
1
2
9
3 8
7
6
5
11 10
1
2
9
4
3 8
7
:
6
5
3.
11 12 1 10 2 9
4
3 8
7
:
6
1
2
9
3 8
7
6
5
4
8:15 :15
11 10
1
9
2 3
8
7
5
11 12 1 10 2 9
4
3 8
7
:
Draw hands on the analog clocks to show the time. 5. 6. 7. 12 12 12 11 10
4.
6
5
4
11:20 11 :20
11 10
1
8. 2 3
7
6
5
:
9 8
6
4
5
4
12:30 12 :30
11 12 1 10 2 9
3 8
7
6
5
4
1:45 :45
Fill in the answers. 9. 3 fives =
10. 7 fives =
11. 4 fives =
12. 8 fives =
13. 2 fives =
14. 5 fives =
15. 1 five =
16. 6 fives =
17. 9 fives =
18. On the Back Draw a picture of what you were doing at 8:15 this morning. Draw an analog clock showing the time.
UNIT C LESSON 2
Hours and Minutes
119
Name
Copyright © Houghton Mifflin Company. All rights reserved.
Hours and Minutes
UNIT C LESSON 2
120
C–3
Name
Fill in the missing numbers on the clock faces below. Draw hands on each clock to show the time. 1. 2. 3. 12 12 12
4.
1
9
3 8
7
6
9
3
5
2:40 :40
1
6
7:45 :45
1:10 :10
9
11 10
2 3
8
7
6
5
1
9 7
:
6
5
:
9. Write the time.
2 3
8
4
3
6
Write the time on each digital clock. 5. 6. 12 12 11 10
9
4
7.
12
11:35 11 :35
11 12 1 10 2 9
3 8
7
6
5
4
:
8.
11 12 1 10 2 9
3 8
7
6
5
4
:
11 12 1 10 2 9
3 8
7
6
5
4
minutes before minutes after 10. On the Back Draw a picture of what you might do at 7:15 A.M. and 7:15 P.M. Draw an analog clock showing the time for each activity. UNIT C LESSON 3
More on Telling Time
121
Name
Copyright © Houghton Mifflin Company. All rights reserved.
More on Telling Time
UNIT C LESSON 3
122
C–4
Name
Write the start and end times. Then find how much time passed. 1.
Start Time
End Time
11 12 1 10 2
11 12 1 10 2
9
3 8
7
6
5
9
4
3 8
7
6
5
P.M. 2.
11 12 1 10 2 9
3 8
7
6
5
9
3 8
7
6
5
4
A.M.
hour(s)
11 12 1 10 2 9
3 8
4
11 12 1 10 2
4
P.M.
7
6
5
A.M. 3.
How Long Did It Take?
4
A.M.
hour(s)
11 12 1 10 2 9
3 8
7
6
5
4
A.M.
hour(s)
For the activity, ring the unit of time you would use. 4. Bake cookies in an oven. days
seconds
minutes
months
5. On the Back Make a timetable showing how you spend the hours from the time you get home from school to the time you go to sleep.
UNIT C LESSON 4
Elapsed Time
123
Name
Copyright © Houghton Mifflin Company. All rights reserved.
Elapsed Time
UNIT C LESSON 4
124
C–5
Name
Use the calendar to answer questions 1 and 2. January
February
S
M
T
W TH F
S
S
1 8 15 22 29
2 9 16 23 30
3 10 17 24 31
4 11 18 25
7 14 21 28
1 5 6 7 8 12 13 14 15 19 20 21 22 26 27 28
S
M
T
W TH F
S
S
7 14 21 28
1 8 15 22 29
2 9 16 23 30
3 10 17 24 31
6 13 20 27
S
M
5 12 19 26
6 13 20 27
M
T
May
3 10 17 24
4 11 18 25
5 12 19 26
4 11 18 25
5 12 19 26
3 10 17 24
4 11 18 25
S
M
W TH F
S
1 8 15 22 29
4 11 18 25
6 13 20 27
7 14 21 28
S
M
T
7 14 21 28
1 8 15 22 29
2 9 16 23 30
3 10 17 24 31
S
M
T
W TH F
2 9 16 23 30
3 10 17 24
4 11 18 25
5 12 19 26
S
M
T
W TH F
S
6 13 20 27
7 14 21 28
1 8 15 22 29
2 9 16 23 30
5 12 19 26
S
M
T
W TH F
3 10 17 24 31
4 11 18 25
5 12 19 26
6 13 20 27
July
T
W TH F
S
6 13 20 27
1 8 15 22 29
3 10 17 24
7 14 21 28
April
T
5 12 19 26
2 9 16 23 30
4 11 18 25
5 12 19 26
S
S
M
T
W TH F
S
2 9 16 23 30
1 8 15 22 29
2 9 16 23 30
3 10 17 24 31
4 11 18 25
7 14 21 28
2 9 16 23 30
3 10 17 24 31
S
M
October
W TH F
6 13 20 27
2 9 16 23
S
June M
September T
March
W TH F
5 12 19 26
4 11 18 25
6 13 20 27
7 14 21 28
S
1 8 15 22 29
November 6 13 20 27
5 12 19 26
6 13 20 27
7 14 21 28
1 8 15 22 29
August
W TH F
5 12 19 26
6 13 20 27
S
4 11 18 25
December
T
W TH F
S
7 14 21 28
1 8 15 22 29
4 11 18 25
2 9 16 23 30
3 10 17 24 31
3 10 17 24
7 14 21 28
1 8 15 22 29
S
2 9 16 23 30
1. Which month immediately follows February? 2. What day of the week does November begin with?
Complete the table to solve the problem. 3. So Lum travels 8 miles each school Days day. How far does she travel in one school week? Distance (miles) miles
1
2 3
4
5
4. On the Back Write and solve your own problem using the calendar above.
UNIT C LESSON 5
Calendars and Function Tables
125
Name
Copyright © Houghton Mifflin Company. All rights reserved.
Calendars and Function Tables
UNIT C LESSON 5
126
4–1
Name
Use the picture graph to answer the questions. Book Sales Peter Tammy Shana
1. Who sold the most books? 2. Who sold the fewest books? 3. How many more books did Shana sell than Tammy?
label
4. How many fewer books did Peter sell than Shana?
label
5. How many more books did Peter sell than Tammy?
label
6. How many books did the children sell altogether?
label
7. Write Your Own Write and solve your own question about the graph.
UNIT 4 LESSON 1
Introduce Picture Graphs
127
4–1
Name
Use the picture graph to answer the questions. Trucks Made in the Toy Shop Misha Leroy Ella
1. Who made the most trucks? 2. Who made the fewest trucks? 3. How many more trucks did Leroy make than Misha?
label
4. How many fewer trucks did Ella make than Leroy?
Copyright © Houghton Mifflin Company. All rights reserved.
label
5. How many more trucks did Ella make than Misha?
label
6. How many trucks did the children make altogether?
label
7. Write Your Own Write and solve your own question about the graph.
128
UNIT 4 LESSON 1
Introduce Picture Graphs
4–2
Name
Compare to find how many more or fewer. Write the number. Ring more or fewer. Hats Horns
1. There are
more fewer hats than horns.
2. There are
more fewer horns than hats.
Mina Emily
3. Mina has
more fewer goldfish than Emily.
4. Emily has
more fewer goldfish than Mina.
Dan Tani
5. Dan has
more fewer bells than Tani.
6. Tani has
more fewer bells than Dan.
UNIT 4 LESSON 2
Read Picture Graphs
129
4–2
Name
Solve each story problem. 1. Here is the path Mr. Green took as he walked around the store stocking the shelves. How far did he walk?
Dairy Aisle
Start and End
21 yards
21 yards
label
Soup Aisle
33 yards
Fruit Bins
2. Rose is helping to put a fence around her family’s backyard. How much fencing should they buy?
64 feet 29 feet
29 feet 64 feet
label
Add ones or tens. Make a Proof Drawing if it helps you.
9+ 8= 90 + 80 =
4.
7+ 7= 70 + 70 =
5.
8+ 7= 80 + 70 =
6.
6+ 5= 60 + 50 =
7. Find the unknown partner.
Copyright © Houghton Mifflin Company. All rights reserved.
3.
100 29
130
UNIT 4 LESSON 2
Read Picture Graphs
4–3
Name
Compare. Ring the extra amount. Write the number. Then ring more or fewer. Pumpkins Martin Kerra
1. Martin has Kerra. 2. Kerra has Martin. 3. Martin needs Kerra. 4. Kerra must lose Martin.
more fewer pumpkins than more fewer pumpkins than
pumpkins to have as many as
pumpkins to have as many as
Compare these numbers. Write the is greater than (>) or is less than () or is less than () or is less than (, . 1.
4 < 8
2.
10 > 6
3.
9 < 12
< 17
5.
14 > 13
6.
19 > 18
16 > 10
8.
5 < 11
9.
7 < 9
4. 15
7.
Write each set of numbers in order from least to greatest. 10. 8
11.
5 10 5
8
10
12.
18 12 6 6
12
18
19 14 15 14
15
19
Write each set of numbers in order from greatest to least. 13. 4
14.
12 9
12
9
13
4
15.
11 3 13 11
3
16. Logical Thinking Use the clues and numbers in the box to solve the problem. Kyle has more hats than Sue. Kim has the most hats. How many hats does each child have? Kyle
UNIT 1 LESSON 21
8 hats
Kim
9 hats
Sue
9 19 16 19
16
9
9 8 5 5 hats
Compare and Order Numbers
41
1–21
Name
Find all of the equations for the Math Mountains. Draw squiggles under the partners.
15 7 1.
8
7 + 8 = 15
15 = 7 + 8
8 + 7 = 15
15 = 8 + 7
15 – 7 = 8
8 = 15 – 7
15 – 8 = 7
7 = 15 – 8
11
2.
42
7
4 + 7 = 11
11 = 4 + 7
7 + 4 = 11
11 = 7 + 4
11 – 4 = 7
7 = 11 – 4
11 – 7 = 4
4 = 11 – 7
UNIT 1 LESSON 21
Compare and Order Numbers
Copyright © Houghton Mifflin Company. All rights reserved.
4
1–22
Name
5+ 2+ 3= You can add in three different ways.
7
+3
5 + 2 + 3 = 10
5+
5
8+2
5 + 2 + 3 = 10
5 + 2 + 3 = 10
4 + 7 + 3 = 14
5+ 1+ 3= 9
6 + 3 + 4 = 13
2. 6
+ 2 + 8 = 16
4 + 2 + 6 = 12
7 + 7 + 3 = 17
3. 3
+ 4 + 7 = 14
5 + 9 + 2 = 16
4 + 3 + 9 = 16
4. 7
+ 3 + 5 = 15
2 + 4 + 4 = 10
7 + 1 + 7 = 15
5. 3
+ 6 + 3 = 12
2 + 2 + 9 = 13
6 + 1 + 3 = 10
6. 5
+ 5 + 5 = 15
2 + 7 + 2 = 11
9 + 2 + 5 = 16
Add the three numbers. 1.
7. Explain Your Thinking Draw a 7, 9, 16 Math Mountain. Tell how it can help you add or subtract. Answers will vary, but children should realize that Math Mountains help them see the totals and the
16 7
9
partners. UNIT 1 LESSON 22
Add Three Numbers
43
1–22
Name
Show your work.
Solve the story problem. 1. Nancy rode her bike 7 miles. Yolanda rode her bike 6 more miles than Nancy. How many miles did Yolanda ride her bike?
13
bike
miles label
Add or subtract 0 or 1. 2. 2
+ 0= 2
5– 1= 4
5+ 0= 5
4– 1= 3
3. 7
+ 1= 8
6– 0= 6
3+ 0= 3
1– 1= 0
4. 8
+ 1= 9
8– 0= 8
9 + 1 = 10
3– 1= 2
5.
11 7
44
4
7 + 4 = 11
11 = 7 + 4
4 + 7 = 11
11 = 4 + 7
11 – 4 = 7
7 = 11 – 4
11 – 7 = 4
4 = 11 – 7
UNIT 1 LESSON 22
Add Three Numbers
Copyright © Houghton Mifflin Company. All rights reserved.
Find all of the equations for the 11, 7, 4 Math Mountain. Draw squiggles under the partners.
A–1
Name
1. Measure the horizontal line segment below by marking and counting 1-cm lengths.
6
cm
2. Draw a line segment 8 cm long. Mark and count 1-cm lengths to check the length.
Use your centimeter ruler to measure each vertical line segment. 3. 4. 5.
3
cm
5
cm
2
cm
6. On the Back Draw a 7-cm line segment. Draw all the partner lengths. Write the partners and the equation for each. Possible answers are shown on next page.
UNIT A LESSON 1
Rulers, Lengths, and Partner Lengths
45
Name
Partner Lengths Partners
Equations 7 cm 7ⴝ1ⴙ6
1 and 6 1 cm
6 cm
7 cm 7ⴝ2ⴙ5
2 and 5 2 cm
5 cm
7 cm 7ⴝ3ⴙ4
3 and 4 3 cm
4 cm
Copyright © Houghton Mifflin Company. All rights reserved.
Order of partner lengths may vary.
46
UNIT A LESSON 1
Rulers, Lengths, and Partner Lengths
A–2
Name
Look for rectangles, squares, and triangles in your home and neighborhood. 1. List or draw objects that show squares. Answers or drawings will vary. Possible answers: checker board, waffles, windows
2. List or draw objects that show rectangles. Answers or drawings will vary. Possible answers: tabletops, paper, beds, street signs, flags, door
3. List or draw objects that show triangles. Answers or drawings will vary. Possible answers: watermelon slices, crackers, earrings, rooftops
4. On the Back Draw a square, a rectangle, and a triangle. Answers will vary. Check children’s work.
UNIT A LESSON 2
Squares, Rectangles, and Triangles
47
Name
Copyright © Houghton Mifflin Company. All rights reserved.
Squares, Rectangles, and Triangles
UNIT A LESSON 2
48
A–3
Name
Use a centimeter ruler. Find the perimeter. 1.
2.
A
K J
B
D
L
P= 3.
H
8
C
M
cm
P= 4.
I
10
cm
W X
K
Z
J
Y
P=
10
cm
P=
14
cm
5. On the Back Draw a square and a rectangle. Find the perimeter of each shape. Answers will vary. Check children’s work. UNIT A LESSON 3
Perimeters of Squares and Rectangles
49
Name
Copyright © Houghton Mifflin Company. All rights reserved.
Perimeters of Squares and Rectangles
UNIT A LESSON 3
50
A–4
Name
Use a centimeter ruler. Find the perimeter. 1. A 2.
C
P=
B
12
L
N
M
P=
cm
12
cm
about
10
Measure. Round to the nearest centimeter. 3. about 5 cm 4.
cm
Measure each side. Round to the nearest centimeter. Find the perimeter. P 5. 6. D
R
Q
E F
Perimeter is about
15
cm
Perimeter is about
14
cm
7. On the Back Use a centimeter ruler. Draw three triangles. Find the perimeter of each triangle. Answers will vary. Check children’s work. UNIT A LESSON 4
Perimeters of Triangles
51
Name
Copyright © Houghton Mifflin Company. All rights reserved.
Perimeters of Triangles
UNIT A LESSON 4
52
2–1
Name
Check children’s work. Solve the story problems. 1. Brad had 14 toy boats. 5 of them floated away. How many does he have now?
9
Show your work.
boat
toy boats label
2. Moses collected 17 rocks. He gave some of them away. Now he has 9 rocks left. How many did he give away?
8
rock
rocks label
3. Claire had 9 colored markers in her backpack when she left school. Some fell out on the way home. When she got home, she had only 5 markers. How many markers fell out of her backpack?
4
backpack
markers label
4. A honeybee visited 7 flowers in the garden. Then it visited 5 more. How many flowers did the honeybee visit in all?
12
honeybee
flowers label
UNIT 2 LESSON 1
Change Plus and Change Minus Story Problems
53
2–1
Name
1. Find all of the equations for the 15, 7, 8 Math Mountain. Draw squiggles under each partner.
15 7
8
7 + 8 = 15
15 = 7 + 8
8 + 7 = 15
15 = 8 + 7
15 – 7 = 8
8 = 15 – 7
15 – 8 = 7
7 = 15 – 8
Add 3 numbers.
+ 1+ 4= 9
5+ 1+ 1= 7
2+ 2+ 4= 8
3. 5
+ 2+ 2= 9
4+ 1+ 3= 8
2+ 3+ 2= 7
5 +9 ᎏ 14
17 – 8 ᎏ9
Add or subtract. 4.
6 +7 ᎏ 13
8 +8 ᎏ 16
11 – 3 ᎏ 8
14 – 6 ᎏ8
5. Measurement Use your centimeter ruler. On a separate piece of paper, draw a square. Find its perimeter. Check children’s work. 54
UNIT 2 LESSON 1
Change Plus and Change Minus Story Problems
Copyright © Houghton Mifflin Company. All rights reserved.
2. 4
2–2
Name
Draw a Proof Drawing to solve the story problems. 1. In the morning, Nick made 8 animals out of clay. In the afternoon, he made some more clay animals. Altogether, he made 15 clay animals. How many did he make in the afternoon?
7
Show your work.
clay animal
Possible answers shown. 15 8
animals
7
label
2. Carrie saw some birds in a tree. 8 flew away. 5 were left. How many birds were in the tree first?
13
bird
birds label
3. Leon and his friends made 12 snowmen. The next day, Leon saw that some of them had melted. Only 9 snowmen were left. How many melted?
3
snowmen
snowmen label
4. 3 lizards sat on a rock in the sun. Then 9 more came out and sat on the rock. How many lizards are on the rock now?
12
rock
lizards label
UNIT 2 LESSON 2
More Change Plus and Change Minus Story Problems
55
2–2
Name
5+ 4+ 3= 9
+3
5 + 4 + 3 = 12
5+
8+ 4
7
5 + 4 + 3 = 12
5 + 4 + 3 = 12
4 + 8 + 3 = 15
8 + 8 + 2 = 18
7 + 7 + 3 = 17
2. 8
+ 2 + 6 = 16
5 + 4 + 9 = 18
9 + 2 + 5 = 16
3. 7
+ 5 + 2 = 14
8 + 4 + 2 = 14
6 + 9 + 4 = 19
4. 9
+ 3 + 4 = 16
9 + 4 + 5 = 18
8 + 4 + 4 = 16
5. 5
+ 8 + 2 = 15
2 + 9 + 6 = 17
6 + 3 + 7 = 16
6. 2
+ 7 + 2 = 11
5 + 4 + 5 = 14
8 + 2 + 7 = 17
3 + 6 + 3 = 12
9 + 2 + 2 = 13
5 + 7 + 3 = 15
8. 2
+ 6 + 4 = 12
6 + 3 + 4 = 13
4 + 5 + 3 = 12
9. 2
+ 7 + 3 = 12
4 + 2 + 5 = 11
5 + 3 + 3 = 11
Add. 1.
56
UNIT 2 LESSON 2
More Change Plus and Change Minus Story Problems
Copyright © Houghton Mifflin Company. All rights reserved.
7.
2–3
Name
Possible Proof Drawings are shown. Draw a Proof Drawing to solve the story problems.
Show your work.
1. There are some pigs on Mr. Smith’s farm. 8 of them are eating corn. The other 7 are drinking water. How many pigs are on Mr. Smith’s farm?
15
pig
pigs label
2. Wendy bought 3 blue balloons and some red balloons for a party. She bought 11 balloons. How many red ones did she buy?
8
balloon
red balloons label
3. There are 14 children in the park. 7 of them are swinging. The rest are jumping rope. How many are jumping rope?
7
jump rope
children label
4. Write Your Own Write a collection story problem. Then draw a picture to solve it. Sample problem: I bought some apples at the store. 9 of them are red and 6 of them are green. How many apples did I buy?Answer: 15 apples UNIT 2 LESSON 3
Collection Problems
57
2–3
Name
Complete the Partner Houses. 1.
9 7 1 + 6 2 + 5 3 + 4
6 + 1 5 + 2 4 + 3
1 2 3 4
+ + + +
8 7 6 5
8 7 6 5
+ + + +
1 2 3 4
6 1 + 5 2 + 4 3 + 3
5 + 1 4 + 2
Add or subtract.
4 +7 ᎏ 11
5 +6 ᎏ 11
7 +8 ᎏ 15
8 +6 ᎏ 14
7 +7 ᎏ 14
9 +5 ᎏ 14
3.
6 +9 ᎏ 15
7 +6 ᎏ 13
8 +8 ᎏ 16
9 +7 ᎏ 16
6 +8 ᎏ 14
5 +8 ᎏ 13
4.
13 – 8 ᎏ 5
12 – 7 ᎏ 5
17 – 9 ᎏ 8
14 – 6 ᎏ 8
15 – 7 ᎏ 8
16 – 8 ᎏ 8
5.
11 – 3 ᎏ 8
15 – 8 ᎏ 7
18 – 9 ᎏ 9
13 – 4 ᎏ 9
16 – 9 ᎏ 7
14 – 7 ᎏ 7
6. Measurement Use your centimeter ruler. On a separate piece of paper, draw a segment 6 centimeters long. Draw all of its partner lengths. Check children’s work. 58
UNIT 2 LESSON 3
Collection Problems
Copyright © Houghton Mifflin Company. All rights reserved.
2.
2–4
Name
Drawings will vary. Show your work.
Solve the story problems. 1. One bus has 6 girls and 7 boys on it. How many students are on the bus?
13
bus
students
6 + 7 = 13
label
2. Pang bought some apples. Bill bought 6 pears. Pang and Bill bought 13 pieces of fruit. How many apples did Pang buy?
7
pear
apples label
3. Complete the Venn diagram by adding at least two Answers will vary. things in the circle. sandals clogs
sneakers boots Shoes Group Name
4. Create Your Own Use your Venn diagram to write your own group name story problem. Solve your problem with equations,words, or Proof Drawings. Check children’s work.
UNIT 2 LESSON 4
Story Problems with Group Names
59
2–4
Name
2+ 3+ 6= 5+ 6
2 + 3 + 6 = 11
2+ 9
8+ 3
2 + 3 + 6 = 11
2 + 3 + 6 = 11
5 + 7 + 3 = 15
7 + 3 + 2 = 12
9 + 2 + 6 = 17
2. 8
+ 2 + 5 = 15
6 + 2 + 5 = 13
3 + 5 + 6 = 14
3. 4
+ 3 + 4 = 11
5 + 3 + 4 = 12
8 + 3 + 2 = 13
4. 6
+ 3 + 9 = 18
7 + 7 + 2 = 16
2 + 5 + 8 = 15
5. 2
+ 7 + 3 = 12
5 + 8 + 2 = 15
6 + 5 + 5 = 16
6. 8
+ 2 + 2 = 12
7 + 4 + 6 = 17
4 + 3 + 7 = 14
5 + 6 + 4 = 15
3 + 4 + 4 = 11
5 + 2 + 9 = 16
8. 2
+ 8 + 4 = 14
6 + 4 + 4 = 14
7 + 2 + 4 = 13
9. 6
+ 2 + 3 = 11
4 + 5 + 5 = 14
9 + 3 + 4 = 16
Add. 1.
60
UNIT 2 LESSON 4
Story Problems with Group Names
Copyright © Houghton Mifflin Company. All rights reserved.
7.
2–5
Name
Show your work.
Draw a picture to solve the story problems. 1. Peter has 13 eggs. Joe has 4 fewer than Peter. How many eggs does Joe have?
9
eggs
Sample pictures are shown.
eggs label
2. I want to give each of my 14 friends a watermelon. I have 8 watermelons in my garden. How many more do I need to grow to give each friend a watermelon?
6
watermelon
watermelons label
3. Lë has 5 lemons. Tina has 7 more than Lë. How many lemons does Tina have?
12
lemon
lemons label
Write Your Own Complete this comparison story problem. Then draw a picture to show how to solve it. Sample answer is given. pencils 4. I have 12 _________________. 7 My friend has _________________ fewer pencils _________________ than I have. How many pencils _________________ does my friend have?
5
pencils label
UNIT 2 LESSON 5
Comparison Story Problems
61
2–5
Name
Find all of the equations for the 13, 4, and 9 Math Mountain. Draw squiggles under the partners. 1. 13
4
9
4 + 9 = 13
13 = 4 + 9
9 + 4 = 13
13 = 9 + 4
13 – 4 = 9
9 = 13 – 4
13 – 9 = 4
4 = 13 – 9 Show your work.
Solve the story problems.
17
pepper
Copyright © Houghton Mifflin Company. All rights reserved.
2. 8 peppers are growing in Dana’s garden. Dana has 9 peppers in the kitchen. How many peppers does Dana have altogether? peppers label
3. Jonathan had 14 files on his CD. Then he deleted 6. How many files were left?
8
CD
files label
4. Measurement Use your centimeter ruler. On a separate piece of paper, draw a rectangle. Find its perimeter. Check children’s work. 62
UNIT 2 LESSON 5
Comparison Story Problems
2–6
Name
Drawings will vary. Show your work.
Solve the story problems. 1. Parker and Natu went to the store to buy sunglasses. Parker paid $9 for his sunglasses. Natu paid $6 more than Parker. How much did Natu pay for his sunglasses?
15
sunglasses
dollars label
2. A small ball costs 8 cents. A ring costs 8 more cents than the small ball. How many cents does a ring cost?
16
ring
cents label
3. If Jared gives away 3 strawberries, Jared will have as many strawberries as Phil. Phil has 8 strawberries. How many strawberries does Jared have?
11
strawberries
strawberries label
4. Andrew has 11 soccer balls. William has 3 soccer balls. How many fewer soccer balls does William have than Andrew?
8
soccer ball
fewer soccer balls label
UNIT 2 LESSON 6
More Comparison Story Problems
63
2–6
Name
Fill in the Venn diagrams to show some things that belong together. Answers will vary. Possible answers shown. 1. soccer hockey
basketball sports
football
Group Name 2. pear apple
orange plum
fruit Group Name
bird
cat pets
fish
Group Name
64
UNIT 2 LESSON 6
More Comparison Story Problems
Copyright © Houghton Mifflin Company. All rights reserved.
3. You Decide Create your own Venn diagram. Write a group name. Answers will vary. dog Possible answers shown.
2–7
Name
Drawings will vary. Solve the story problems. 1. Susan rode her bicycle for 14 blocks. Awan rode his bicycle for 8 blocks. How many fewer blocks did Awan ride than Susan?
6
Show your work.
bicycle
fewer blocks label
2. Eden has 7 blackberries. Her father gave her 9 more. How many blackberries does Eden have now?
16
blackberries
blackberries label
3. There were 9 children on the bus. At the first bus stop, some children got off. 7 children are still on the bus. How many children got off at the first bus stop?
2
bus stop
children label
4. The clown had 12 balloons. He gave away 4 balloons. How many balloons did he keep?
8
balloons
balloons label
UNIT 2 LESSON 7
Mixed Story Problems
65
2–7
Name
Add or subtract.
4+ 1= 5
3– 0= 3
6+ 0= 6
9– 1= 8
2. 8
+ 0= 8
7– 1= 6
9 + 1 = 10
4– 0= 4
3. 7
+ 1= 8
5– 0= 5
4+ 0= 4
8– 1= 7
1.
Show your work.
Solve the story problem. 4. Mr. Tyson grilled 14 hot dogs. His family ate some. Now he has 6 hot dogs left. How many hot dogs did his family eat?
8
hot dog
14 –
hot dogs
8 =6
label
8 4
5 1 + 4 2 + 3
4 + 1 3 + 2
1 + 3 2 + 2
3 + 1
1 2 3 4
+ + + +
7 6 5 4
7 + 1 6 + 2 5 + 3
6. Measurement Use your centimeter ruler. On a separate piece of paper, draw a triangle. Find its perimeter. Check children’s work. 66
UNIT 2 LESSON 7
Mixed Story Problems
Copyright © Houghton Mifflin Company. All rights reserved.
Complete the Partner Houses. 5.
2–8
Name
For problems with not enough information, add the information. For problems with extra information, cross out the extra information. Then solve the problem. Show your work.
Answers will vary. 1. There are 14 children in music class. Some children left to go to the library. How many children are still in music class?
library
5 children left.
9
children label
2. Rosa has 5 gold coins and 6 silver coins in her collection. Her brother gave her 7 more gold coins. How many gold coins does Rosa have in all?
12
coin
gold coins label
3. There were 7 bicycles in the rack at school. Then some more children put their bicycles in the rack. How many bicycles are in the rack now? 8 children put their bicycles in the rack.
15
bicycles label
UNIT 2 LESSON 8
bicycle
Answers will vary. Problems with Not Enough or Extra Information
67
2–8
Name
Show your work.
Solve the story problems. 1. Bernard had 9 acorns. Manuel had 6 fewer acorns than Bernard. How many acorns does Manuel have?
3
acorn
acorns label
2. Together Roma and Grace have 12 beads. Grace has 4 beads. How many beads does Grace have to buy to have the same as Roma?
4
beads
beads label
8
lion
tigers label
4. There are 13 children on the baseball team. There are 7 children on the swim team. How many more children are on the baseball team than on the swim team?
6
baseball
children label
68
UNIT 2 LESSON 8
Problems with Not Enough or Extra Information
Copyright © Houghton Mifflin Company. All rights reserved.
3. There are 14 lions at the zoo. The zoo has to get 6 tigers to have as many tigers as lions. How many tigers does the zoo have?
2–9
Name
Cross out the extra information. Write hidden or missing information. Then solve the problems. 1. Joel knows the names of 9 different dinosaurs. His friend Peja knows the names of 6 dinosaurs and 8 birds. How many dinosaur names do the two friends know together?
15
Show your work.
dinosaur
dinosaur names label
2. I have a ring for each finger of both hands. I want to buy 4 more rings. How many rings will I have then?
hands
I have 10 fingers.
14
rings label
3. Erica had 6 coins in her coin collection. She went to a coin show this week and bought some more. How many coins does she have now?
coin
Erica bought 5 coins. Answers will vary. 11 coins label UNIT 2 LESSON 9
Problems with Hidden Information and Mixed Practice
69
2–9
Name
Find all of the equations for the 15, 6, 9 Math Mountain. Draw squiggles under the partners. 1. 15
6
9
6 + 9 = 15
15 = 6 + 9
9 + 6 = 15
15 = 9 + 6
15 – 6 = 9
9 = 15 – 6
15 – 9 = 6
6 = 15 – 9 Show your work.
Solve the story problem.
7
grapes
pounds of grapes label
Make a ten or count on to find the partner. 3. 6
+ 7 = 13
17 – 9 = 8
5 + 9 = 14
4. 8
+ 7 = 15
14 – 6 = 8
15 – 7 = 8
5. Measurement Use your centimeter ruler. On a separate piece of paper, draw a rectangle. Find its perimeter. Check children’s work. 70
UNIT 2 LESSON 9
Problems with Hidden Information and Mixed Practice
Copyright © Houghton Mifflin Company. All rights reserved.
2. Sofia has 13 pounds of grapes in her basket. She has 6 more pounds than Tony has in his basket. How many pounds of grapes are in Tony’s basket?
2–10
Name
Show your work.
Solve the story problems. 1. Bessie counted 5 fish, 3 turtles, and some frogs. She counted 14 animals altogether. How many frogs are there?
6
turtle
frogs label
2. Todd had 4 red blocks and 5 green blocks. Then his sister gave him some blue blocks. Todd has 17 blocks now. How many blue blocks did his sister give him?
8
block
blue blocks label
3. There were 15 cups of water in the jug. Jacob poured out 9 cups of water for people at the race to drink. Then his uncle put 7 more cups of water into the jug. How many cups of water are in the jug now?
13
jug
cups of water label
4. Megan had 12 dollars in her pocket. She spent 6 dollars on lunch. Then a friend gave her back the 3 dollars he borrowed yesterday. How much money does Megan have now?
9
lunch
dollars label
UNIT 2 LESSON 10
Two-Step Story Problems
71
2–10
Name
Solve the story problems. 1. Alvin had a dozen pretzels in his bag. For lunch, he ate 9 of them. How many pretzels does Alvin have left?
3
Show your work.
pretzel
pretzels label
2. Ed has 10 pairs of shoes in his closet. Alicia has a different pair of shoes for each day of the week. How many pairs of shoes do Ed and Alicia have together?
17
pair of shoes
pairs of shoes label
10
parakeet Copyright © Houghton Mifflin Company. All rights reserved.
3. Carlos has 8 parakeets as pets. Jeff has a pair of parrots. How many birds do Carlos and Jeff have together? birds label
4. Samuel has 12 horseshoes in his shed. He had to put all new horseshoes on his horse today. How many horseshoes does Samuel have left in his shed?
8
horseshoe
horseshoes label
72
UNIT 2 LESSON 10
Two-Step Story Problems
2–11
Name
Solve the story problems. 1. Jerry ate 6 pieces of pizza. Then he ate 7 more pieces. Vesta ate 9 pieces of pizza. How many fewer pieces of pizza did Vesta eat than Jerry?
4
Show your work.
pizza
pieces of pizza label
2. Arnez has 2 angelfish and 5 goldfish. Carmen has 2 angelfish and 6 goldfish. How many more fish does Carmen have than Arnez?
1
angelfish
1 more fish label
3. Chin had 9 shrimp. He ate 3. Then his mother gave him 9 more. How many shrimp does Chin have now?
15
shrimp
shrimp label
4. I bought 3 bananas, 5 apples, and some oranges. Altogether, I bought 15 pieces of fruit. How many oranges did I buy?
7
orange
oranges label
UNIT 2 LESSON 11
Strategies Using Doubles
73
2–11
Name
Add or subtract. 1.
7 +8 ᎏ 15
6 +5 ᎏ 11
9 +2 ᎏ 11
7 +5 ᎏ 12
6 +8 ᎏ 14
3 +8 ᎏ 11
2.
13 – 4 ᎏ 9
15 – 8 ᎏ 7
17 – 9 ᎏ 8
16 – 7 ᎏ 9
18 – 9 ᎏ 9
11 – 3 ᎏ 8
Solve the story problems. 3. Altogether, Adela and Ben have 13 pets. Ben has 6 dogs. Adela has some cats. How many cats does Adela have?
7
Show your work.
pets
cats label
6
Copyright © Houghton Mifflin Company. All rights reserved.
4. Lonnie planted 16 seeds in his backyard. 4 were sunflower, 6 were tulip, and some were daisy. How many daisy seeds did he plant?
seeds
daisy seeds label
5. Measurement Use your centimeter ruler. On a separate piece of paper, draw a segment 8 centimeters long. Draw all of its partner lengths. Check children’s work.
74
UNIT 2 LESSON 11
Strategies Using Doubles
2–12
Name
Show your work.
Solve the story problems. 1. The school bus will hold 16 children. 3 girls and 6 boys are already on the bus. How many more children can fit on the bus?
7
school bus
more children label
2. Some kites flew in the air. Then 7 of them got caught in trees. Now only 8 kites are flying. How many kites were flying in the beginning?
15
kite
kites label
3. Sheldon blew 13 bubbles. 6 of them popped, so he blew 9 more bubbles. How many bubbles are there now?
16
bubbles
bubbles label
4. Explain Your Thinking Explain each step you took to solve problem 3. Possible answer: First I subtracted 6 bubbles from 13 bubbles. That answer is 7 bubbles. Then I added 7 bubbles and 9 bubbles to get 16 bubbles.
UNIT 2 LESSON 12
Mixed Practice and Writing Story Problems
75
2–12
Name
Solve the story problems. 1. Rachel counted 4 cows, 3 goats, and some horses at the farm. She counted 16 animals. How many horses were at the farm?
9
Show your work.
cow
horses label
2. Allison had 8 dollars in her pocket. Her mother gave her 7 more dollars. Then she spent 5 dollars on lunch. How much money does Allison have now?
10
dollar
dollars label
8
sandwich
cheese sandwiches label
4. Summarize Explain each step you took to solve problem 3. Possible answer: First I added the number of chicken and roast beef sandwiches. That answer is 9 sandwiches. Then I subtracted 9 sandwiches from 17 sandwiches to get 8 sandwiches. 76
UNIT 2 LESSON 12
Mixed Practice and Writing Story Problems
Copyright © Houghton Mifflin Company. All rights reserved.
3. Students made 17 sandwiches for the picnic. They made 3 chicken sandwiches, 6 roast beef sandwiches, and some cheese sandwiches. How many cheese sandwiches did they make?
2–13
Name
Cross out any extra information. Solve the story problems. 1. Edward and his sister read 15 books to their little brother. Edward read 8 of them. His sister ate 2 oranges while Edward read. How many books did his sister read?
7
Show your work.
book
books label
2. Amy had 5 good ideas while taking a walk. Then she had some more good ideas while riding her bike. Altogether she had a total of 12 good ideas. How many good ideas did she have while riding her bike?
7
bike
good ideas label
3. Valeria made 13 bracelets. 5 had beads in them. The rest did not. How many bracelets did not have any beads?
8
bracelet
bracelets label
4. Explain Choose one of the three problems. Explain all of the steps you took to solve the problem. Answers will vary.
UNIT 2 LESSON 13
Mixed Practice
77
2–13
Name
Show your work.
Solve the story problems. 1. Julio has 17 pairs of shorts. Brian has 9 pairs of shorts. How many more pairs of shorts does Brian need to get to have the same as Julio?
8
pair of shorts
pairs of shorts label
2. Shelby has 8 clocks in her house. Theo has 4 clocks in his house. There are 5 clocks in Heather’s house. How many clocks do the three of them have altogether?
17
clock
clocks label
3. 3
+ 8 + 2 = 13
2 + 3 + 6 = 11
2 + 9 + 4 = 15
4. 7
+ 7 + 4 = 18
6 + 6 + 4 = 16
4 + 7 + 3 = 14
5. 6
+ 2 + 4 = 12
9 + 7 + 2 = 18
6 + 5 + 3 = 14
6. Measurement Use your centimeter ruler. On a separate piece of paper, draw a segment 10 centimeters long. Draw all of its partner lengths. Check children’s work. 78
UNIT 2 LESSON 13
Mixed Practice
Copyright © Houghton Mifflin Company. All rights reserved.
Add 3 numbers.
B–1
Name
Use a centimeter ruler. Find the perimeter of each shape. 1.
2.
A
2 cm
G
3.
D
2 cm
C
2 cm
B
F E I
P= 4.
P = 7 cm
6 cm
5. N
J
H
P = 12 cm 6.
O
R
S
U
T
M
K Q
L
P = 10 cm 7.
V
P
P = 10 cm W
8.
P = 12 cm
X
9.
A
D
Y
P = 14 cm
B
E
F
H
G
C
P = 8 cm
P = 4 cm
10. On the Back Draw three triangles. • In the first triangle, all sides have the same length. • In the second triangle, only two sides have the same length. • In the third triangle, each side has a different length. Check children’s work. UNIT B LESSON 1
Share Observations About Geometry
79
Name
Copyright © Houghton Mifflin Company. All rights reserved.
Share Observations About Geometry
UNIT B LESSON 1
80
B–2
Name
In each row draw three more parallelograms. The first row is done for you.
Possible drawings are shown. Answers will vary.
1.
2.
3.
4.
5.
6. On the Back Draw three different parallelograms.
UNIT B LESSON 2
Define Parallel Lines and Parallelograms
81
Name
Copyright © Houghton Mifflin Company. All rights reserved.
82
UNIT B LESSON 2
Define Parallel Lines and Parallelograms
B–3
Name
Place a check mark beside each word that names the shape. 1. 2.
✓
quadrilateral
✓
quadrilateral
✓
parallelogram
✓
parallelogram
✓
rectangle
rectangle
✓
square
square
3.
4.
✓
quadrilateral
✓
quadrilateral
parallelogram
✓
parallelogram
rectangle
✓
rectangle
square 5.
square 6.
✓
✓
quadrilateral
quadrilateral
✓
parallelogram
parallelogram
✓
rectangle
rectangle
✓
square
square
7. On the Back Draw three different quadrilaterals that have the same perimeter. Check children’s work.
UNIT B LESSON 3
Relate Different Quadrilaterals
83
Name
Copyright © Houghton Mifflin Company. All rights reserved.
Relate Different Quadrilaterals
UNIT B LESSON 3
84
3–1
Name
1. Write the numbers going down to see the tens.
1
11
21
31
41
51
61
71
81
91
2
12
22
32
42
52
62
72
82
92
3
13
23
33
43
53
63
73
83
93
4
14
24
34
44
54
64
74
84
94
5
15
25
35
45
55
65
75
85
95
6
16
26
36
46
56
66
76
86
96
7
17
27
37
47
57
67
77
87
97
8
18
28
38
48
58
68
78
88
98
9
19
29
39
49
59
69
79
89
99
10
20
30
40
50
60
70
80
90
100
2. What number comes after 100? 3. What number comes next? UNIT 3 LESSON 1
101 102 Ones, Tens, and Hundreds
85
3–1
Name
Solve each story problem. 1. Rama bought 6 onions and 8 carrots. Teresa bought 5 eggplants. How many fewer vegetables did Teresa buy than Rama?
9
Show your work.
eggplant
vegetables label
2. There were 18 people at Melvin’s party. 7 were girls and the rest were boys. Then 5 boys left. How many boys are still at the party?
6
party hat
boys label
6
computer
Copyright © Houghton Mifflin Company. All rights reserved.
3. There are 9 computers in the computer lab. 7 girls and 8 boys want to use the computers. How many children do not get to use a computer? children label
4. Melissa has 4 red feathers, 5 purple feathers, and some yellow feathers in her hat. She has 16 feathers in total. How many feathers are yellow?
7
feather
feathers label
86
UNIT 3 LESSON 1
Ones, Tens, and Hundreds
3–2
Name
Add. 1.
80 + 10 = 90
50 + 40 =
90
5+ 4=
9
+ 70 =
80
1+ 7=
8
+ 60 =
90
3+ 6=
9
2 + 8 = 10
+ 30 =
80
70 + 20 = 90
5+ 3=
8
2. 10
3. 30
4. 50
5. 90
6. 30
+ 10 = 100 9+ 1=
10
+ 10 =
40
3+ 1=
4
UNIT 3 LESSON 2
8+ 1=
9
30 + 70 = 100 3 + 7 = 10 20 + 80 = 100
7+ 2=
9
50 + 20 = 70 5+ 2=
7
50 + 30 = 80 5+ 3=
8
60 + 20 = 80 6+ 2=
8
40 + 30 =
70
4+ 3= 50 + 40 = 5+ 4=
7 90 9
40 + 60 = 100 4+ 6=
10
20 + 30 =
50
2+ 3= 40 + 20 = 4+ 2=
5 60 6
Draw Quick Tens and Quick Hundreds
87
3–2
Name
Fill in the Venn diagram to show some things that belong together. Answers will vary. Possible answers shown. 1. dogs pets Group Name
cats
birds fish
Write the Math Mountain equations. Draw squiggles under the partners. 2. 12
8 + 4 = 12
8
4
12 = 8 + 4 12 = 4 + 8
12 – 8 = 4
4 = 12 – 8
12 – 4 = 8
8 = 12 – 4
Add or subtract. 3. 5
+ 0=
5
10 – 0 =
10
2– 1=
1
4. 2
+ 1=
3
4– 0=
4
9+ 1=
10
5. Measurement On a separate piece of paper, draw 3 shapes with the same perimeter. Check children’s shapes. 88
UNIT 3 LESSON 2
Draw Quick Tens and Quick Hundreds
Copyright © Houghton Mifflin Company. All rights reserved.
4 + 8 = 12
3–3
Name
Draw these numbers using hundred boxes, ten sticks, and circles. Then write the hundreds, tens, and ones. 1.
2.
3.
176
143
100 + 70 + 6
184
100 + 40 + 3
What numbers are shown here?
100 + 80 + 4 H = Hundreds, T = Tens, O = Ones
4.
5.
1
H
2
T
7
1
O
H
6
T
3
127 = 100 + 20 + 7
163 = 100 + 60 + 3
6.
7.
1
H
3
T
2
132 = 100 + 30 + 2
UNIT 3 LESSON 3
O
1
H
1
T
7
O
O
117 = 100 + 10 + 7
Represent Numbers in Different Ways
89
3–3
Name
Show your work.
Solve each story problem. 1. Erin bought 4 red pens, 5 blue pens, and some black pens. She bought a total of 15 pens. How many black pens did Erin buy?
6
black pens
pen
Check children’s work.
label
2. There are 18 chairs in the classroom. 7 boys and 6 girls need to sit in the classroom. How many chairs will not be used?
5
chair
chairs label
7
muffin Copyright © Houghton Mifflin Company. All rights reserved.
3. Nicole made 20 muffins. 8 were blueberry muffins, and the rest were apple muffins. Then she gave away 5 apple muffins. How many apple muffins does she have now? apple muffins label
4. The pet store had 15 birds and some rabbits. They had 6 fewer rabbits than birds. Today they sold 3 rabbits. How many rabbits does the store have left?
6
rabbit
rabbits label
90
UNIT 3 LESSON 3
Represent Numbers in Different Ways
3–4
Name
Add.
25 + 7 = 32
2.
24 + 3 = 27
3.
73 + 3 = 76
+ 6 = 43
5.
59 + 5 = 64
6.
69 + 4 = 73
26 + 8 = 34
8.
67 + 8 = 75
9.
37 + 2 = 39
10. 33
+ 7 = 40
11.
12.
47 + 5 = 52
13. 40
+ 60 = 100
20 + 80 = 100
4 + 6 = 10
2 + 8 = 10
+ 20 = 70
70 + 20 = 90
40 + 80 = 120
9
4 + 8 = 12
1.
4. 37 7.
14. 50
5+ 2= 15. 50
+ 40 = 90 5+ 4=
16. 30
7
9
+ 60 = 90 3+ 6=
UNIT 3 LESSON 4
9
56 + 6 =
7+ 2=
62
60 + 20 = 80 6+ 2=
8
10 + 50 = 60 1+ 5=
6
30 + 30 = 60 3+ 3=
6
20 + 30 = 50 2+ 3=
5
40 + 40 = 80 4+ 4=
8
Add 2-Digit and 1-Digit Numbers
91
3–4
Name
Add the 3 numbers. 1.
3+ 2+ 6=
11
2.
6 + 3 + 3 = 12
3.
7+ 3+ 2=
12
4.
3+ 5+ 6=
14
5.
9+ 4+ 2=
15
6.
5+ 6+ 3=
14
7.
5 + 8 + 5 = 18
8.
8 + 3 + 7 = 18
9.
3+ 9+ 6=
18
10.
7+ 3+ 7=
11.
9+ 3+ 3=
15
12.
8 + 5 + 4 = 17
15.
9
8
7 6 5 4
+ + + +
1 2 3 4
1 + 7 2 + 6 3 + 5
6 5 + 1 4 + 2 3 + 3
1 + 5 2 + 4
8 7 6 5
+ + + +
1 2 3 4
1 2 3 4
+ + + +
8 7 6 5
16. Measurement On a separate piece of paper, draw 3 shapes with the same perimeter. Check children’s shapes. 92
UNIT 3 LESSON 4
Add 2-Digit and 1-Digit Numbers
Copyright © Houghton Mifflin Company. All rights reserved.
Complete the Partner Houses. 13. 14.
17
3–5
Name
Group the 10-partners. The first one is done for you. 1.
3 + 7 = 10
2. 9
+ 1 = 10
3. 4
+ 6 = 10
Group the 100-partners. The first one is done for you. 4. 30
+ 70 = 100
5. 90
+ 10 = 100
6. 40
+ 60 = 100
Add.
80 + 60 = 140 8 + 6 = 14
60 + 90 = 150 6 + 9 = 15
60 + 70 = 130 6 + 7 = 13
8. 70
+ 50 = 120 7 + 5 = 12
30 + 90 = 120 3 + 9 = 12
90 + 60 = 150 9 + 6 = 15
9. 40
+ 90 = 130 4 + 9 = 13
90 + 80 = 170 9 + 8 = 17
80 + 50 = 130 8 + 5 = 13
7.
UNIT 3 LESSON 5
Find Decade Partners
93
3–5
Name
Cross out the extra information. Solve the story problems. 1. There were 6 trains and 2 buses at Main Street Station. 9 more buses and 4 more trains just arrived. How many buses are at the station now?
11
Show your work.
bus station
buses label
2. The pet store had 12 kittens and 11 puppies. Today they sold 3 puppies. How many puppies does the pet store still have?
8
kitten
puppies label
13
Copyright © Houghton Mifflin Company. All rights reserved.
3. The farmer has 8 cows and 6 turkeys. He just bought 7 more turkeys. How many turkeys does the farmer have now?
turkey
turkeys label
4. Jane checked out 9 nature books and 7 adventure books from the library. Then she returned 5 nature books. How many nature books does she still have?
4
nature book
nature books label
94
UNIT 3 LESSON 5
Find Decade Partners
3–6
Name
Solve each story problem. 1. Mina picked 63 flowers from her garden. She can put 10 flowers in each vase. How many vases will be filled up? How many extra flowers will she have?
6
vases
3
Check children’s work.
extra flowers
2. Luisa has 85 coupons. She can trade in 10 of them for a toy. How many toys can Luisa get for her coupons? How many coupons will she have left over?
8
toys
5
coupons left over
3. Mustafa wants to buy books that cost 10 dollars each. He has 45 dollars. How many books can he buy? How many dollars will he have left over?
4
books
5
dollars left over
4. The track team has 72 water bottles. They pack them 10 to a box. How many boxes can they fill with bottles? How many water bottles will be left over?
7
boxes
UNIT 3 LESSON 6
2
water bottles left over Combine Ones, Tens, and Hundreds
95
3–6
Name
What numbers are shown here?
H = Hundreds, T = Tens, O = Ones
1.
2.
1
H
6
T
2
1
O
162 = 100 + 60 + 2
H
3
T
9
O
139 = 100 + 30 + 9
3.
4.
1
H
8
T
3
183 = 100 + 80 + 3
1
O
1
T
5
O
115 = 100 + 10 + 5
Solve each story problem.
Show your work.
Copyright © Houghton Mifflin Company. All rights reserved.
5. Lee bought 7 pencils on Friday. On Saturday she bought 3 erasers and 4 pencils. How many pencils did she buy altogether on those two days?
11
H
pencil
pencils label
6. Corey saw 5 ducks. James saw 13 ducks. How many fewer ducks did Corey see than James?
8
duck
ducks label
7. Measurement On a separate piece of paper, draw 3 shapes with the same perimeter. Check children’s drawings.
96
UNIT 3 LESSON 6
Combine Ones, Tens, and Hundreds
3–8
Name
Add ones, tens, or a hundred.
9+ 8=
1.
17
7+ 7=
6+ 8=
14
7+ 5=
12
4.
8+ 7=
15
5. 100
+ 48 = 148
80 + 30 = 110
90 + 70 = 160
15
8 + 8 = 16
60 + 90 = 150
80 + 80 = 160
11
9 + 4 = 13
60 + 50 = 110
90 + 40 = 130
6+ 5=
80 + 70 = 150 6.
21 + 100 = 121
10 + 48 = 58
21 + 10 = 31
1 + 48 = 49
21 + 1 = 22
UNIT 3 LESSON 8
90 + 50 = 140 9 + 7 = 16
6+ 9=
70 + 50 = 120
14
11
8+ 3=
60 + 80 = 140 3.
9+ 5=
70 + 70 = 140
90 + 80 = 170 2.
14
7.
100 + 2 = 102 10 + 2 = 12 1+ 2=
3
Invent 2-Digit Addition
97
3–8
Name
Add.
28 + 19 ᎏ 47
52 + 33 ᎏ 85
59 + 27 ᎏ 86
2.
45 + 16 ᎏ 61
54 + 37 ᎏ 91
38 + 21 ᎏ 59
3.
25 + 62 ᎏ 87
23 + 48 ᎏ 71
55 + 35 ᎏ 90
4.
77 + 14 ᎏ 91
56 + 29 ᎏ 85
41 + 38 ᎏ 79
98
UNIT 3 LESSON 8
Copyright © Houghton Mifflin Company. All rights reserved.
1.
Invent 2-Digit Addition
3–9
Name
Show your work.
Solve the story problems. 1. Kivy made 34 baskets. Her father made 58 baskets. How many baskets did they make in all?
92
basket
baskets label
2. Glen printed 67 posters yesterday and 86 more today. How many posters did he print in total?
153
poster
posters label
Add. 3.
39 + 44 ᎏ 83
67 + 56 ᎏ 123
47 + 98 ᎏ 145
4.
48 + 33 ᎏ 81
85 + 68 ᎏ 153
94 + 57 ᎏ 151
UNIT 3 LESSON 9
Addition–Show All Totals Method
99
3–9
Name
Add.
7+ 3=
1.
10
6+ 9=
15
8+ 3=
11
70 + 30 = 100
60 + 90 = 150
80 + 30 = 110
12
4 + 8 = 12
9 + 9 = 18
60 + 60 = 120
40 + 80 = 120
90 + 90 = 180
6+ 6=
2.
10
5+ 2=
7
100 + 14 = 114
60 + 40 = 100
50 + 20 =
70
10 + 14 = 24
6+ 4=
3.
1 + 14 =
15
4.
5.
6.
127
109
133
100 + 20 + 7
100 + 0 + 9
100 + 30 + 3
7. Measurement On a separate piece of paper, draw 3 shapes with the same perimeter. Check children’s answers. 100
UNIT 3 LESSON 9
Addition–Show All Totals Method
Copyright © Houghton Mifflin Company. All rights reserved.
Draw these numbers using boxes, sticks, and circles. Then write the hundreds, tens, and ones.
3–10
86 + 57 130 + 13 143
Name
or
86 + 57 1 143 130 + 13 = 143
Add. Use any method. 1.
97 + 45 ᎏ 142
54 + 39 ᎏ 93
35 + 47 ᎏ 82
2.
56 + 77 ᎏ 133
76 + 88 ᎏ 164
86 + 65 ᎏ 151
3.
47 + 73 ᎏ 120
87 + 49 ᎏ 136
57 + 48 ᎏ 105
UNIT 3 LESSON 10
Addition–New Groups Below Method
101
3–10
Name
Solve each story problem. 1. Greg had some library books. He took 8 books back to the library. Now he has 8 books. How many books did he have in the beginning?
16
Show your work.
library
books label
2. Asha drew some pictures. Then she drew 5 more pictures. Now she has 14 pictures. How many did she draw first?
9
picture
pictures label
15
crackers Copyright © Houghton Mifflin Company. All rights reserved.
3. Sam’s mom gave him some crackers. He ate 9 crackers. He has 6 crackers left. How many crackers did his mom give him? crackers label
4. Some children were playing at the park. 7 children came. There are 14 children playing at the park now. How many children were playing at the park to start?
7
park
children label
102
UNIT 3 LESSON 10
Addition–New Groups Below Method
3–11
75 + 49 ᎏᎏ 110 + 14 ᎏᎏ 124
Name
or
75 + 49 1 ᎏᎏ 124 110 + 14 = 124
Add. Use any method. 1.
83 + 79 ᎏ 162
65 + 47 ᎏ 112
78 + 34 ᎏ 112
2.
74 + 99 ᎏ 173
48 + 87 ᎏ 135
92 + 59 ᎏ 151
3.
63 + 77 ᎏ 140
75 + 48 ᎏ 123
86 + 32 ᎏ 118
UNIT 3 LESSON 11
Practice Addition with Totals Over 100
103
3–11
Name
Show your work.
Solve the story problems. 1. The Denny Tree Farm has 84 pine trees. Baker’s Acres has 37 pine trees. How many pine trees do both places have?
121
pine tree
pine trees label
2. Lin found some shells. Lee found 9 more shells. They now have 17 shells. How many shells did Lin find?
8
shell
shells label
71
watch
watches label
4. The Day Care Center has 29 teddy bears. They just ordered 75 more. How many teddy bears will the Day Care Center have when the order comes in?
104
teddy bear
teddy bears label
5. Measurement On a separate piece of paper, draw 3 shapes with the same perimeter. 104
UNIT 3 LESSON 11
Practice Addition with Totals Over 100
Copyright © Houghton Mifflin Company. All rights reserved.
3. The jewelry store has 48 watches on sale. The pharmacy next door has 23 watches on sale. How many watches do the two stores have to sell in all?
3–12
Name
Be the helper. Is the answer OK? Write yes or no. If no, fix the mistakes and write the correct answer.
43 + 28 1 ᎏ 71
1.
27 + 45 1 ᎏ 72
4.
7.
Yes
45 + 23 1 ᎏ 78
OK?
2.
OK?
Yes
16 + 67 12 ᎏ 91 83
OK?
85 + 56 1 ᎏ 141
OK?
UNIT 3 LESSON 12
5.
No
Yes
8.
45 + 23 1 ᎏ 78 68
OK? No
68 + 26 1 1 ᎏ 84 94
OK?
59 + 25 1 ᎏ 74 84
OK?
58 + 99 1 ᎏ 147 157
OK?
No
No
No
3.
32 + 29 1 ᎏ 511 61
6.
51 + 44 ᎏ 95
9.
73 + 82 1 ᎏ 165 155
OK?
No
OK?
Yes
OK?
No
Choose an Addition Method
105
3–12
Name
Add. Use any method.
42 + 74 ᎏ 116
88 + 91 ᎏ 179
61 + 73 ᎏ 134
2.
75 + 33 ᎏ 108
42 + 97 ᎏ 139
27 + 71 ᎏ 98
3.
95 + 61 ᎏ 156
22 + 93 ᎏ 115
81 + 71 ᎏ 152
4.
36 + 92 ᎏ 128
82 + 75 ᎏ 157
54 + 73 ᎏ 127
106
UNIT 3 LESSON 12
Choose an Addition Method
Copyright © Houghton Mifflin Company. All rights reserved.
1.
3–13
Name
Solve each story problem. 1. Here is the path Fluffy took on her walk today. How many yards did she walk?
78
Flower Beds
26 yards Trees
yards label
26 yards
26 yards
Home
2. Colin wants to decorate a picture frame with gold ribbon. How long should the ribbon be if he wants to outline the whole frame?
186
58 cm 35 cm
35 cm 58 cm
cm label
3. Here is a top view drawing of the new sandbox for the park. Each side is 16 feet long. A wooden seat runs along the perimeter. How long is the seat?
80
16 feet
feet label
UNIT 3 LESSON 13
2-Digit Addition in Perimeter Problems
107
3–13
Name
Show your work.
Solve each story problem. 1. Sean has a collection of 48 recipes. Hannah has a collection of 53 recipes. How many recipes do they have in all?
101
recipes
recipes label
2. Todd read 77 pages on Saturday. He read 93 pages on Sunday. How many pages did he read in the two days?
170
pages
pages label
Add.
64 + 87 ᎏ 151
19 + 78 ᎏ 97
13 + 79 ᎏ 92
4.
45 + 57 ᎏ 102
26 + 97 ᎏ 123
86 + 59 ᎏ 145
5. Measurement On a separate piece of paper, draw 3 shapes with the same perimeter. 108
UNIT 3 LESSON 13
2-Digit Addition in Perimeter Problems
Copyright © Houghton Mifflin Company. All rights reserved.
3.
3–14
Name
Here are some more fruits and vegetables from the Farm Stand. Answer the questions below. Then draw the money amount. The first one is done for you.
Apples 79¢
Eggplant 96¢
Pears 58¢
Green Onions 67¢
How much would you spend if you wanted to buy 1. apples and 1 dollar 10¢ 164 oranges? ¢
10¢ 10¢ 10¢ 10¢ 10¢ 1¢
2. apples and green onions?
146
3. pears and green onions?
125
4. pears and apples?
137
181
1¢
1¢
1¢
10¢ 10¢ 10¢ 10¢
¢
1dollar 1¢
1¢
1¢
1¢
1¢
1¢
10¢ 10¢
¢
1dollar
¢
1dollar
1¢
¢
1¢
1¢
1¢
1¢
10¢ 10¢ 10¢ 1¢
5. eggplant and oranges?
Oranges 85¢
1¢
1¢
1¢
1¢
1¢
1¢
10¢ 10¢ 10¢ 10¢ 10¢ 10¢ 1dollar
10¢ 10¢ 1¢
UNIT 3 LESSON 14
Buy with Pennies and Dimes
109
3–14
Name
Under the coins write the total amount of money so far. The first one is done for you. 1. 10¢ 10¢ 5¢ 5¢ 1¢
10¢ 2. 10¢
10¢ 3. 10¢
20¢
25¢
30¢
31¢
32¢
10¢
10¢
10¢
10¢
1¢
20¢
30¢
40¢
50¢
51¢
5¢
5¢
5¢
1¢
1¢
1¢
15¢
20¢
25¢
26¢
27¢
28¢
4. 10¢
10¢
5¢
1¢
1¢
1¢
1¢
15¢
16¢
17¢
18¢
19¢
5. Draw the coins you could use to show 85¢. Use D , N , and P . Sample Answer: 10¢ 10¢ 10¢ 10¢ 10¢ 10¢ 10¢ 10¢ 5¢ 110
UNIT 3 LESSON 14
Buy with Pennies and Dimes
Copyright © Houghton Mifflin Company. All rights reserved.
10¢
1¢
3–15
Name
Here are some more foods from the snack bar. Answer the questions below. Then draw the money amounts using dollars, dimes, nickels, and pennies.
Hot Dog 87¢
Peach 76¢
Sandwich 98¢
Corn on the Watermelon Cob 65¢ 59¢
How much would you spend if you wanted to buy Sample drawings shown. 1. a hot dog and corn on the cob?
2. a sandwich and a peach?
152
10¢ 10¢ 10¢ 10¢ 10¢
¢
1dollar
1¢
10¢ 10¢ 10¢ 10¢ 10¢
174
¢
1dollar
10¢ 10¢ 1¢
3. watermelon and a hot dog?
1¢
1¢ 1¢
1¢
10¢ 10¢ 10¢ 10¢
146
¢
1dollar
5¢ 1¢
4. a sandwich and watermelon?
157
10¢ 10¢ 10¢ 10¢ 10¢
¢
1dollar
5¢ 1¢ 1¢
5. Problem Solving Ivan has 6 coins. The value of his coins is 37¢. Three of his coins are dimes. What are the other 3 coins? 1 nickel and 2 pennies UNIT 3 LESSON 15
Buy with Pennies, Nickels, and Dimes
111
3–15
Name
Show your work.
Solve each story problem. 1. There are 53 green peppers in the vegetable bin. There are 59 yellow peppers in the vegetable bin. How many green and yellow peppers are there in all?
112
peppers
peppers label
2. Seth found some rocks in a field. Mandy found 5 more rocks. There are now 13 rocks. How many rocks did Seth find?
8
rocks
rocks label
112
truck
trucks label
Add. 4.
49 + 85 ᎏ 134
93 + 56 ᎏ 149
61 + 39 ᎏ 100
5. Measurement On a separate piece of paper, draw 3 shapes with the same perimeter. 112
UNIT 3 LESSON 15
Buy with Pennies, Nickels, and Dimes
Copyright © Houghton Mifflin Company. All rights reserved.
3. Ted’s Trucking Company had 84 trucks. They just bought 28 new trucks. How many trucks do they have now?
3–16
Name
Complete the number sequence. Write the rule. 1.
12, 14, 16,
18 ,
20 ,
24
Rule: n
+2
2.
25, 30, 35,
40 ,
45 , 50 , 55
Rule: n
+5
3.
49, 52, 55,
58 ,
61 , 64 , 67
Rule: n
+3
4.
80, 90, 100, 110 , 120 , 130 , 140
Rule: n
+ 10
5.
46, 56, 66,
76 ,
86 , 96 , 106
Rule: n
+ 10
6.
58, 56, 54,
52 ,
50 , 48 , 46
Rule: n
– 2
7.
39, 36, 33,
30 ,
27 , 24 ,
21
Rule: n
–3
8.
48, 42, 36,
30 ,
24 , 18 ,
12
Rule: n
–6
9.
70, 65, 60,
55 ,
50 , 45 ,
40
Rule: n
–5
22 ,
10.
126, 130, 134, 138 , 142 , 146 , 150
Rule: n
+ 4
11.
135, 140, 145, 150 , 155 , 160 , 165
Rule: n
+5
12. Explain Your Thinking Which takes less time? Explain. • Skip count by 2s from 2 to 100. • Skip count by 5s from 5 to 100. Answers will vary.
UNIT 3 LESSON 16
Skip-Counting and Addition Practice
113
3–16
Name
Complete the number sequence. Write the rule.
15, 21, 27,
33 ,
39 ,
45
Rule: n
+6
2.
39, 35, 31,
27 ,
23 ,
19
Rule: n
–4
3.
29, 34, 39,
44 ,
49 ,
54
Rule: n
+5
4.
43, 39, 35,
31 ,
27 ,
23
Rule: n
–4
5.
66, 69, 72,
75 ,
78 ,
81
Rule: n
+3
6.
43, 35, 27,
19 ,
11 ,
3
Rule: n
–8
7.
84, 86, 88,
90 ,
92 ,
94
Rule: n
+2
8.
52, 46, 40,
34 ,
28 ,
22
Rule: n
–6
9.
21, 29, 37,
45 , 53 , 61
Rule: n
+8
10. 90,
87, 84,
81 ,
75
Rule: n
–3
11. 11,
17, 23,
29 , 35 , 41
Rule: n
+6
12. 49,
56, 63,
70 ,
77 ,
84
Rule: n
+7
13. 37,
48, 59,
70 ,
81 ,
92
Rule: n
+ 11
14. 84,
75, 66,
57 ,
48 ,
39
Rule: n
–9
114
UNIT 3 LESSON 16
78 ,
Skip-Counting and Addition Practice
Copyright © Houghton Mifflin Company. All rights reserved.
1.
3–17
Name
Show your work.
Solve each story problem. 1. The theater can hold 100 people. We sold 62 tickets to the play. How many more tickets do we have to sell to fill the theater?
38
theater
tickets label
2. My orchard has 82 trees in it. 47 are lime trees. The rest are lemon trees. How many lemon trees do I have?
35
orchard
lemon trees label
3. There are 75 seats on the airplane. 41 of them are near a window. The rest are not. How many seats are not near a window?
34
window
seats label
4. The gift store sold 93 plant and animal key chains. 48 were plant key chains. How many were animal key chains?
45
key chain
animal key chains label
5. Find the unknown partner.
100 68 UNIT 3 LESSON 17
100 32
19
93 81
49
54 44
18
36 Find 2-Digit Partners
115
3–17
Name
Here are some more foods from the snack bar. Answer the questions below. Then draw the money amount.
Hot Dog 87¢
Grapes 78¢
Yogurt 68¢
Popcorn 45¢
Fruit Juice 79¢
How much would you spend if you wanted to buy Drawings will vary. 1. fruit juice and 10¢ 10¢ 10¢ 10¢ 10¢ 166 a hot dog? ¢ 1dollar 10¢ 5¢ 1¢
2. yogurt and popcorn?
113
¢
1dollar
10¢ 1¢
butterflies
butterflies label
4. Measurement On a separate piece of paper, draw 3 shapes with the same perimeter. Check children’s work. 116
UNIT 3 LESSON 17
Find 2-Digit Partners
Copyright © Houghton Mifflin Company. All rights reserved.
9
1¢
Show your work.
Solve the story problem. 3. Dora caught 4 butterflies in her net. Joel caught some more butterflies. Now there are 13 butterflies. How many butterflies did Joel catch?
1¢
C–1
Name
Write the time in two different ways. 1. 2. 12 11 10
1
9
11 12 1 10 2
2 3
8
7
4
5
6
9
4
3 8
7
6
3
o’clock
5
4
11 10
2 3
9 8
7
6
5
1
8
7
6
5
7
6
11
5
4
o’clock
11:00 6.
2 3
9
4
3 8
o’clock
Draw the hands on each analog clock and write the time on each digital clock below. 4. 5. 12 12 1
11 12 1 10 2 9
3:00
4:00 :00
11 10
3.
4
11 12 1 10 2 3
9 8
7
6
5
4
1 o’clock
6 o’clock
12 o’clock
1:00
6 :00
12 :00
For each activity, ring the appropriate time. 7. Eat an afternoon snack. 3:00 A.M.
2:00 P.M.
6:00 P.M.
8. Go to a movie at night. 8:00 A.M.
12:00 NOON
7:00 P.M.
9. On the Back Draw a picture of what you might do at 7:00 P.M. Draw a clock face with hands to show the time. Answers will vary. UNIT C LESSON 1
Hours on the Clock
117
Name
Copyright © Houghton Mifflin Company. All rights reserved.
Hours on the Clock
UNIT C LESSON 1
118
C–2
Name
Write the time on the digital clocks. 1. 2. 12 12 11 10
1
11 10
2
9
3 8
7
6
5
1
2
9
4
3 8
6 :25
7
6
5
3.
11 12 1 10 2 9
4
3 8
1: 50
7
6
1
11 10
2 3
9 8
7
6
5
1
4
8
8:15 :15
2 3
9 7
6
5
5
11 12 1 10 2 9
4
4
11:20 11 :20
11 10
1
3
9 8
7
6
5
4
12:30 12 :30
7
6
4
5
9 :40 8.
2
3 8
5 :10
Draw hands on the analog clocks to show the time. 5. 6. 7. 12 12 12 11 10
4.
11 12 1 10 2 3
9 8
7
6
5
4
1:45 :45
Fill in the answers. 10. 7 fives =
12. 8 fives =
15 40
15. 1 five =
5
9. 3 fives =
11. 4 fives =
13. 2 fives =
35 10
14. 5 fives =
20 25
16. 6 fives =
30
17. 9 fives =
45
18. On the Back Draw a picture of what you were doing at 8:15 this morning. Draw an analog clock showing the time. Check children’s work.
UNIT C LESSON 2
Hours and Minutes
119
Name
Copyright © Houghton Mifflin Company. All rights reserved.
Hours and Minutes
UNIT C LESSON 2
120
C–3
Name
Fill in the missing numbers on the clock faces below. Draw hands on each clock to show the time. 1. 2. 3. 12 12 12 11 10
1
11 10
2 3
9 8
7
6
5
1
2 3
9 8
4
2:40 :40
7
6
5
1
2
9
9
3 8
7
6
5
4
8
7
6
5
3 :40
2
8
7
6
5
11 12 1 10 2
2 4
7.
4
8
9
3 7
6
5
7
6
5
4
11:35 11 :35
11 12 1 10 2 8
3
9
1:10 :10
3
7 :05 9. Write the time.
1
4. 3
7:45 :45
11 10
1
9
4
Write the time on each digital clock. 5. 6. 12 12 11 10
11 10
4
11:45
8.
11 12 1 10 2 9
3 8
7
6
5
4
1:10
11 12 1 10 2 3
9 8
7
25
minutes before
35
minutes after
6
5
4
2 1
10. On the Back Draw a picture of what you might do at 7:15 A.M. and 7:15 P.M. Draw an analog clock showing the time for each activity. Answers will vary. UNIT C LESSON 3
More on Telling Time
121
Name
Copyright © Houghton Mifflin Company. All rights reserved.
More on Telling Time
UNIT C LESSON 3
122
C–4
Name
Write the start and end times. Then find how much time passed. 1.
Start Time
End Time
11 12 1 10 2
11 12 1 10 2
9
3 8
7
6
5
3:00
2.
P.M.
11 12 1 10 2 9
3 8
7
6
5
8:00
3.
11 12 1 10 2 3 8
7
7:30
6
5
4
A.M.
3 8
7
6
5
10:00
4
P.M.
7
hour(s)
1 1/2
hour(s)
3 1/2
hour(s)
11 12 1 10 2 9
4
A.M.
9
9
4
How Long Did It Take?
3 8
7
6
5
9:30
4
A.M.
11 12 1 10 2 9
3 8
7
6
11:00
5
4
A.M.
For the activity, ring the unit of time you would use. 4. Bake cookies in an oven. days
seconds
minutes
months
5. On the Back Make a timetable showing how you spend the hours from the time you get home from school to the time you go to sleep. Answers will vary.
UNIT C LESSON 4
Elapsed Time
123
Name
Copyright © Houghton Mifflin Company. All rights reserved.
Elapsed Time
UNIT C LESSON 4
124
C–5
Name
Use the calendar to answer questions 1 and 2. January
February
S
M
T
W TH F
S
S
1 8 15 22 29
2 9 16 23 30
3 10 17 24 31
4 11 18 25
7 14 21 28
1 5 6 7 8 12 13 14 15 19 20 21 22 26 27 28
S
M
T
W TH F
S
S
7 14 21 28
1 8 15 22 29
2 9 16 23 30
3 10 17 24 31
6 13 20 27
S
M
5 12 19 26
6 13 20 27
M
T
May
3 10 17 24
4 11 18 25
5 12 19 26
4 11 18 25
5 12 19 26
3 10 17 24
4 11 18 25
S
M
W TH F
S
1 8 15 22 29
4 11 18 25
6 13 20 27
7 14 21 28
S
M
T
7 14 21 28
1 8 15 22 29
2 9 16 23 30
3 10 17 24 31
S
M
T
W TH F
2 9 16 23 30
3 10 17 24
4 11 18 25
5 12 19 26
S
M
T
W TH F
S
6 13 20 27
7 14 21 28
1 8 15 22 29
2 9 16 23 30
5 12 19 26
S
M
T
W TH F
3 10 17 24 31
4 11 18 25
5 12 19 26
6 13 20 27
July
T
W TH F
S
6 13 20 27
1 8 15 22 29
3 10 17 24
7 14 21 28
April
T
5 12 19 26
2 9 16 23 30
4 11 18 25
5 12 19 26
S
S
M
T
W TH F
S
2 9 16 23 30
1 8 15 22 29
2 9 16 23 30
3 10 17 24 31
4 11 18 25
7 14 21 28
2 9 16 23 30
3 10 17 24 31
S
M
October
W TH F
6 13 20 27
2 9 16 23
S
June M
September T
March
W TH F
5 12 19 26
4 11 18 25
6 13 20 27
7 14 21 28
S
1 8 15 22 29
November 6 13 20 27
5 12 19 26
6 13 20 27
7 14 21 28
1 8 15 22 29
August
W TH F
5 12 19 26
6 13 20 27
S
4 11 18 25
December
T
W TH F
S
7 14 21 28
1 8 15 22 29
4 11 18 25
2 9 16 23 30
3 10 17 24 31
3 10 17 24
7 14 21 28
1 8 15 22 29
S
2 9 16 23 30
1. Which month immediately follows February? March 2. What day of the week does November begin with? Wednesday Complete the table to solve the problem. 3. So Lum travels 8 miles each school Days day. How far does she travel in one school week? Distance (miles) 40 miles
1
2 3
4
5
8
16 24 32
40
4. On the Back Write and solve your own problem using the calendar above. Answers will vary.
UNIT C LESSON 5
Calendars and Function Tables
125
Name
Copyright © Houghton Mifflin Company. All rights reserved.
Calendars and Function Tables
UNIT C LESSON 5
126
4–1
Name
Use the picture graph to answer the questions. Book Sales Peter Tammy Shana
1. Who sold the most books? 2. Who sold the fewest books?
Shana Tammy
3. How many more books did Shana sell than Tammy?
5
books label
4. How many fewer books did Peter sell than Shana?
4
books label
5. How many more books did Peter sell than Tammy?
1
book label
6. How many books did the children sell altogether?
18
books label
7. Write Your Own Write and solve your own question about the graph. Answers will vary.
UNIT 4 LESSON 1
Introduce Picture Graphs
127
4–1
Name
Use the picture graph to answer the questions. Trucks Made in the Toy Shop Misha Leroy Ella
1. Who made the most trucks? 2. Who made the fewest trucks?
Leroy Misha
3. How many more trucks did Leroy make than Misha?
4
trucks label
4. How many fewer trucks did Ella make than Leroy?
3
trucks Copyright © Houghton Mifflin Company. All rights reserved.
label
5. How many more trucks did Ella make than Misha?
1
truck label
6. How many trucks did the children make altogether?
23
trucks label
7. Write Your Own Write and solve your own question about the graph. Answers will vary.
128
UNIT 4 LESSON 1
Introduce Picture Graphs
4–2
Name
Compare to find how many more or fewer. Write the number. Ring more or fewer. Hats Horns
1. There are
4
more fewer hats than horns.
2. There are
4
more fewer horns than hats.
3. Mina has
3
more fewer goldfish than Emily.
4. Emily has
3
more fewer goldfish than Mina.
Mina Emily
Dan Tani
5. Dan has
5
more fewer bells than Tani.
6. Tani has
5
more fewer bells than Dan.
UNIT 4 LESSON 2
Read Picture Graphs
129
4–2
Name
Solve each story problem. 1. Here is the path Mr. Green took as he walked around the store stocking the shelves. How far did he walk?
75
Dairy Aisle
Soup Aisle
33 yards
Start and End
yards 21 yards
21 yards
label
Fruit Bins
2. Rose is helping to put a fence around her family’s backyard. How much fencing should they buy?
186
64 feet 29 feet
29 feet 64 feet
feet label
Add ones or tens. Make a Proof Drawing if it helps you.
9 + 8 = 17 90 + 80 = 170
4.
7 + 7 = 14 70 + 70 = 140
5.
8 + 7 = 15 80 + 70 = 150
6.
6 + 5 = 11 60 + 50 = 110
7. Find the unknown partner.
100 29
130
UNIT 4 LESSON 2
Copyright © Houghton Mifflin Company. All rights reserved.
3.
71
Read Picture Graphs
4–3
Name
Compare. Ring the extra amount. Write the number. Then ring more or fewer. Pumpkins Martin Kerra
1. Martin has Kerra. 2. Kerra has Martin.
2
more fewer pumpkins than more fewer pumpkins than
2
3. Martin needs Kerra.
2
4. Kerra must lose Martin.
pumpkins to have as many as
2
pumpkins to have as many as
Compare these numbers. Write the is greater than (>) or is less than ( 3
6 < 7
6.
1 < 4
8 > 6
4 > 3
7.
6 > 5
3 < 7
9 > 8
8.
5 > 2
7 < 9
1 < 2
UNIT 4 LESSON 3
The Language of Comparison
131
4–3
Name
Compare. Ring the extra amount. Write the number. Then ring more or fewer. Peppers Gina Jesse
1. Gina has
more fewer peppers than Jesse.
3
2. Jesse has
3
3. Gina needs
more fewer peppers than Gina.
3
peppers to have as many as Jesse.
4. Jesse must give away as Gina.
3
peppers to have as many
Bears Copyright © Houghton Mifflin Company. All rights reserved.
Marco Alena
5. Marco has
2
more fewer bears than Alena.
6. Alena has
2
more fewer bears than Marco.
7. Marco needs
2
bears to have as many as Alena.
8. Alena must give away as Marco. 132
UNIT 4 LESSON 3
2
bears to have as many
The Language of Comparison
4–4
Name
Solve each story problem.
Show your work.
1. Yesterday, Annie saw 17 ducks at the park. Cristina saw 8 ducks. How many more ducks did Annie see than Cristina?
9
ducks label
2. Juan made 6 fruit cups for the picnic this afternoon. Teresa made 9 more fruit cups than Juan. How many fruit cups did Teresa make?
15
fruit cups label
3. Michelle collected 13 baseballs. Rini collected 7 baseballs. How many more baseballs does Rini have to collect to have as many baseballs as Michelle?
6
baseballs label
4. Tom has 12 horses on his farm. He has 4 fewer chickens than horses. How many chickens does Tom have?
8
chickens label
UNIT 4 LESSON 4
Pose and Solve Comparison Story Problems
133
4–4
Name
Solve each story problem.
Show your work.
1. Mr. Gomez has 75 cans of beans. Each shelf holds 10 cans. How many shelves can he fill with cans of beans? How many cans will be left over?
7
shelves
5
cans left over
2. Abigail has 39 stamps in her collection. She puts 10 stamps on each page of her stamp book. How many pages can she fill with stamps? How many stamps will be left over?
3
pages
9
stamps left over
Add.
22 + 4 = 26
86 + 3 = 89
+ 20 = 80 6+ 2= 8
90 + 80 = 170 9 + 8 = 17
70 + 30 = 100 7 + 3 = 10
50 + 70 = 120 5 + 7 = 12
40 + 90 = 130 4 + 9 = 13
20 + 40 = 60 2+ 4= 6
Add. 4. 60
5.
6. Find the unknown partner.
100 46 54
134
UNIT 4 LESSON 4
Pose and Solve Comparison Story Problems
Copyright © Houghton Mifflin Company. All rights reserved.
+ 8 = 53
3. 45
4–5
Name
Use the table. Fill in the boxes with numbers. Ring more or fewer. Toys
Games
Jake
5
9
Kara
8
4
1. Jake has
5
more fewer games than Kara.
2. Kara has
5
more fewer games than Jake.
3. Kara has
3
more fewer toys than Jake.
4. Jake has
3
more fewer toys than Kara.
5. The children have
13
games altogether.
6. The children have
13
toys altogether.
7. Kara must give away as Jake. 8. Kara must get UNIT 4 LESSON 5
5
3
toys to have as many
games to have as many as Jake. Tables
135
4–5
Name
Use the table. Fill in the boxes with numbers. Ring more or fewer. Books
CDs
Meg
7
2
Kate
9
5
Andrew
3
8
1. Kate has
3
more fewer CDs than Andrew.
2. Meg has
2
more fewer books than Kate.
3. Andrew has
more fewer CDs than Kate.
3
5. Meg needs
2
books altogether.
books to have as many as Kate.
6. Andrew must get Meg. 7. Meg must get Andrew.
19
6
4
books to have as many as
CDs to have as many as
8. Kate and Andrew have a total of 136
UNIT 4 LESSON 5
Copyright © Houghton Mifflin Company. All rights reserved.
4. The children have
13
CDs. Tables
4–6
Name
Chen has 7 markers. Linda has 4 markers. 1. Make a table to show this. Number of Markers Markers Chen
7
Linda
4
2. Turn the table into a picture graph. Use a circle for each
. Number of Markers
Chen Linda
Compare. Circle the extra amount in the graph above. Write the number. Then ring more or fewer below. 3. Linda has
3
more fewer markers than Chen.
4. Chen has
3
more fewer markers than Linda.
5. Linda needs
3
6. Chen must lose
UNIT 4 LESSON 6
markers to have as many as Chen.
3
markers to have as many as Linda.
Convert Tables to Picture Graphs
137
4–6
Name
Show your work.
Solve the story problem. 1. Mrs. Green put away 63 bags of peanuts. Mr. Green put away 58 bags of peanuts. How many bags of peanuts did they put away in all?
121
bags of peanuts label
Compare. Ring the extra amount. Write the number. Then ring more or fewer. Mr. Green Mrs. Green
2. Mr. Green has
4
4
peapods to have as many as Mrs. Green.
Compare. Write the is greater than (>) or is less than ( 6
4 > 2
5.
7 >1
2 < 4
6 > 5
6. Find the unknown partner.
100 53
138
UNIT 4 LESSON 6
47 Convert Tables to Picture Graphs
Copyright © Houghton Mifflin Company. All rights reserved.
3. Mr. Green needs
more fewer peapods than Mrs. Green.
4–7
Name
1. Prince won 8 medals at the dog show. Lady won 5 medals. Muffy won 3 medals. Make a table to show this. Medals Won at the Dog Show
Medals Prince Lady Muffy
8 5 3
2. Turn the table into a picture graph. Use a circle for each . Medals Won at the Dog Show
Prince Lady Muffy Compare. Write the number. Ring more or fewer. 3. Prince has 4. Muffy has 5. Lady needs
5 5 3
6. Lady must lose UNIT 4 LESSON 7
more fewer medals than Muffy. more fewer medals than Prince. medals to have as many as Prince.
2
medals to have as many as Muffy. Graph Data
139
4–7
Name
Beth and Hamal like to go hiking and biking. The table shows how many miles the children traveled. Number of Miles Traveled Hiking
Biking
Total
Beth
19
47
Hamal
36
48
55
95
66 84 150
Total
1. How many miles did Hamal travel in all? Put this in the table.
84
miles
2. How many miles did Beth travel in all? Put this in the table.
66
miles
3. How many miles did the children hike? Put this in the table.
55
miles
4. How many miles did the children bike? Put this in the table.
95
miles
6. Find the total number of miles the children hiked. The partners are
19
and
36
47
and
48
19
and
47
140
UNIT 4 LESSON 7
36
and
48
miles
95
miles
66
miles
.
9. Find the total number of miles Hamal traveled. The partners are
55
.
8. Find the total number of miles Beth traveled. The partners are
miles
.
7. Find the total number of miles the children biked. The partners are
150
Copyright © Houghton Mifflin Company. All rights reserved.
5. How many miles did the children travel altogether? Put this in the table.
84
miles
. Graph Data
4–8
Name
1. The park has 9 oak trees, 2 maple trees, and 6 elm trees in it. Complete the table to show this. Trees in the Park
9 2 6
Oak Maple Elm
2. Use the data table to complete the bar graph. Trees in the Park Oak Maple Elm 0
1
2
3
4
5
6
7
8
9
10
Use your bar graph. Fill in the missing number and ring more or fewer. 3. There are 7 more fewer oak trees than maple trees in the park. 4. There are 4 more fewer maple trees than elm trees in the park. 5. We need to plant 3 more fewer elm trees to have as many elm trees as oak trees. UNIT 4 LESSON 8
Introduce Bar Graphs
141
4–8
Name
1. Write the total amount of money.
31¢ Use the table to answer the questions. Fill in the boxes with the numbers. Ring more or fewer if you need to. Nickels
Dimes
Jessica
7
3
Eddie
4
5
2. Jessica has 3. Eddie has
3 3
more fewer nickels than Eddie. more fewer nickels than Jessica.
2
dimes to have as many
Add.
+ 96 = 196 10 + 96 = 106 1 + 96 = 97
5. 100
142
UNIT 4 LESSON 8
62 + 100 = 162 62 + 10 = 72 62 + 1 = 63
100 + 7 = 107 10 + 7 = 17 1+7= 8
Introduce Bar Graphs
Copyright © Houghton Mifflin Company. All rights reserved.
4. Eddie must give away dimes as Jessica.
4–9
Name
Use the bar graph to complete the sentences. Ring more or fewer. Instruments My Friends Play Piano Drums Guitar Violin 0
1
2
3
4
5
6
7
8
9 10
1.
2
more fewer children play the drums than the guitar.
2.
3
more fewer children play the drums than the violin.
3.
6
more fewer children play the piano than the drums.
4.
4
more fewer children play the piano than the guitar.
5.
3
more fewer children play the violin than the piano.
6.
10
children play the piano or the drums.
7.
17
children play the piano, guitar, and violin altogether.
UNIT 4 LESSON 9
Read Bar Graphs
143
4–9
Name
Use the bar graph to complete the sentences. Ring more or fewer. School Supplies on the Shelf 10 9 8 7 6 5 4 3 2 1 0
Markers
Staplers
Rulers Glue Sticks
4
more fewer markers on the shelf than rulers.
2. There are
4
more fewer staplers on the shelf than glue sticks.
3. There are
6
more fewer markers on the shelf than staplers.
4. There are
2
more fewer glue sticks on the shelf than rulers.
5. There are
2
more fewer rulers on the shelf than staplers.
6. There are more fewer markers than there are rulers and staplers combined. 7. There is a total of 144
UNIT 4 LESSON 9
16
glue sticks and markers. Read Bar Graphs
Copyright © Houghton Mifflin Company. All rights reserved.
1. There are
4–10
Name
Use the bar graph to answer the questions below. Fill in the circle next to the correct answer. Food on My Shelves Apples Jars of Salsa Cans of Tuna Loaves of Bread Granola Bars 0
1. How many more cans of tuna are there than jars of salsa?
1
2
3
4
5
2. Altogether, how many apples and granola bars do I have?
6
7
8
9 10
3. I have the same number of which two foods?
4
11
Apples and granola bars
5
13
Apples and tuna
6
15
Salsa and bread
7
16
Tuna and granola bars
4. Write Your Own Write 1 question about the graph. Answer your question. Check children’s work.
UNIT 4 LESSON 10
Analyze Information in Bar Graphs
145
4–10
Name
Use the picture graph to answer the questions. Flowers Planted in the Garden Tuti Earl Nathan 1
2
3
4
5
6
7
8
9
10
Tuti
1. Who planted the most flowers?
2. How many more flowers did Nathan plant than Earl?
4
flowers label
3. How many fewer flowers did Earl plant than Tuti?
7
flowers label
4.
76 + 39 ᎏ 115
43 + 78 ᎏ 121
52 + 87 ᎏ 139
5.
61 + 75 ᎏ 136
57 + 98 ᎏ 155
89 + 48 ᎏ 137
6. Find the unknown partner.
73 46
146
UNIT 4 LESSON 10
27 Analyze Information in Bar Graphs
Copyright © Houghton Mifflin Company. All rights reserved.
Add. Make a Proof Drawing if it helps.
4–11
Name
Use the information in the circle graph to answer the questions below. Fill in the circle next to the correct answer. Toys in the Playroom
Dolls Trucks 4 5 Games 6
Blocks 6 Puzzles 3
2. How many more blocks are there than trucks?
1. The teacher told Brandie to bring her all of the dolls and games. How many toys does Brandie have to bring to the teacher? 9 10 11 12
3. The playroom has the same number of which two kinds of toys?
1
blocks and dolls
2
dolls and puzzles
4
games and blocks
6
trucks and puzzles
4. There is 1 fewer truck than ________.
5. There are 3 more games than ________.
blocks
blocks
dolls
dolls
games
puzzles
puzzles
trucks
UNIT 4 LESSON 11
Introduce Circle Graphs
147
4–11
Name
Use the information in the circle graph to answer the questions. 1. My building has the most of which animal?
Pets in My Building Fish 5
Frogs 3
Birds 4
dogs Dogs 10
2. How many birds, fish, and frogs are there altogether?
Cats 8
12 3. How many pets are there altogether in my building? 30 pets
4. How many more dogs are there than frogs?
5. How many fewer fish are there than cats?
7 more dogs
3 fewer fish
6. There is 1 fewer bird than fish there are 8. There is 1 more bird than frogs there are
148
UNIT 4 LESSON 11
.
.
7. There are 3 more cats than fish there are
.
9. There are 2 fewer cats than dogs there are
.
Introduce Circle Graphs
Copyright © Houghton Mifflin Company. All rights reserved.
Use the information in the circle graph to complete each sentence.
4–12
Name
Use the information in the circle graph to answer the questions below. Fill in the circle next to the correct answer. Toys in the Box Trucks 6
Airplanes 7
1. There is 1 fewer truck than there are ________. airplanes boats buses
Cars 8
Buses 3 Boats 4
2. There are 2 more trucks than there are ________.
cars
3. There are 5 fewer boats than there are ________.
airplanes
airplanes
boats
boats
buses
cars
cars
trucks
4. How many cars, boats, and airplanes are there in the box?
5. What is the total number of buses and trucks in the box?
17
4
18
8
20
10
28
12
UNIT 4 LESSON 12
Explore Circle Graphs
149
4–12
Name
Show your work.
Solve the story problems. 1. Erin has 14 shirts in her closet. Vana has 6 shirts in her closet. How many more shirts does Erin have than Vana?
8
shirts label
2. 17 people went to Hoon’s party. 9 people went to Mark’s party. How many fewer people were at Mark’s party than Hoon’s?
8
people label
Is the answer correct? Write yes or no. If no, fix the exercise. 3.
17 + 45 12 ᎏᎏ 71 62
OK?
4.
yes
OK?
7.
no
9. Find the unknown partner.
57 + 26 11 ᎏᎏ 73 83
OK?
69 + 13 1 ᎏᎏ 72 82
OK?
no
no
UNIT 4 LESSON 12
8.
42 + 59 1 ᎏᎏ 911 101
OK?
51 + 35 ᎏ 86
OK?
no
yes
100 12
150
5.
88 Explore Circle Graphs
Copyright © Houghton Mifflin Company. All rights reserved.
6.
37 + 65 1 ᎏᎏ 102
4–13
Name
1. Complete the horizontal bar graph using the information given below. • Jun has 5 marbles. • Angela has 3 more marbles than Jun. • Janell has to lose 4 marbles to have as many as Jun. • Caroline has 2 fewer marbles than Angela. Marbles We Have Jun Angela Janell Caroline 0
1
2
3
4
5
6
7
8
9 10
Compare the numbers below. Use is greater than (>) or is less than ( 4
2 < 3
3.
8 > 5
1 < 10
4 > 1
4.
6 > 0
8 > 3
7 < 8
UNIT 4 LESSON 13
Talk About Graphs
151
4–13
Name
Use the information in the circle graph to answer the questions below. Fill in the circle next to the correct answer. What Jared Saw at the Beach Crabs
Fish
1 7
6
8 Seashells 8
1. How many more seagulls did Jared see than fish?
2
Seagulls
4
5
5
Starfish
2. He saw 1 fewer crab than ________.
3. He saw 3 more seashells than ________. crabs
fish
starfish
seagull
fish
seashell
seagulls
Complete the number sequence. Write the rule. 4. 12,
20, 28,
36 44 52 ________, ________, ________
+8 Rule: n ________
5. 38,
41, 44,
47 50 53 ________, ________, ________
+3 Rule: n ________
6. 93,
78 73 68 88, 83, ________, ________, ________
–5 Rule: n ________
7. Find the unknown partner.
68 49
152
UNIT 4 LESSON 13
19 Talk About Graphs
Copyright © Houghton Mifflin Company. All rights reserved.
starfish
4–14
Name
Working Light Bulbs
Lena and Paulo test light bulbs. The table shows what they found. Answer each question and fill in the table with your answers.
1. How many green bulbs worked?
Green
Yellow
Total
Paulo
47
51
98
Lena
38
29
67
Total
85
80
165
85
2. How many of Paulo’s bulbs worked?
green bulbs 98 bulbs
3. How many of Lena’s bulbs worked?
67
4. How many bulbs worked in total?
165
bulbs bulbs
Use the bar graph to answer the questions. Bike Trails (in miles) 46
Running Creek
25
Lake View
58
Pine Cone
78
Rocky Road Crestview
34 0
10 20 30 40 50 60 70 80 90 100
5. A bike race is held on Pine Cone and Lake View trails. How long is the race? 83
miles
7. How far will you go if you ride Pine Cone and Rocky Road? 136 UNIT 4 LESSON 14
6. You want to ride exactly 80 miles this week. Which two trails should you take? Running Creek
and
Crestview
miles 2-Digit Addition with Tables and Graphs
153
4–14
Name
Draw the hands on the clock to show the time. 1.
11 12 1 10 2 3
9 8
7
6
5
11 12 1 10 2
5:3 :30
3
9
4
11 12 1 10 2
8
7
6
5
3
9
4
11 12 1 10 2
8
11:15 11 :15
7
6
5
3
9
4
8
6:50 :50
7
6
5
4
12:00 12 :00
Write the time on the digital clock. 2.
11 12 1 10 2 9
3 8
7
6
5
4
3 :05
11 12 1 10 2 9
11 12 1 10 2
3 8
7
6
5
9
4
3 8
11: 20
11 12 1 10 2
7
6
5
9
4
3 8
12 :30
7
6
5
4
1: 40
3. Big hand points to Time in minutes
4 20
1
6
5
9
4
7
8
5
30 25 45 20 35 40
11
10
(4 fives)
4. Big hand points to Time in minutes
8 40
6
9
7
5
3
55 50 30 45 35 25 15
(8 fives)
5. Find the unknown partner.
76 53
154
UNIT 4 LESSON 14
23 2-Digit Addition with Tables and Graphs
Copyright © Houghton Mifflin Company. All rights reserved.
Complete the tables.
D–1
Name
Draw one diagonal.
Draw the other diagonal.
Draw both diagonals.
1.
2.
3.
4.
5. On the Back Find an object in your home that is a quadrilateral and use a ruler to draw a picture of it. Draw two diagonals. What shapes did you form by drawing the two diagonals? Drawings will vary. 4 triangles UNIT D LESSON 1
Diagonals of Quadrilaterals
155
Name
Copyright © Houghton Mifflin Company. All rights reserved.
Diagonals of Quadrilaterals
UNIT D LESSON 1
156
D–2
Name
Use estimation to find the midpoints. Connect the midpoints Connect the midpoints of two opposite sides. of the other two sides.
Draw both line segments.
1.
2.
3.
4. On the Back Find an object in the shape of a quadrilateral in your home. ● Use a centimeter ruler to draw the object. ● Estimate the position of the midpoint on each side. ● Connect the midpoints of opposite sides. ● Describe the shapes that you see. Answers will vary. UNIT D LESSON 2
Connect Midpoints in Quadrilaterals
157
Name
Copyright © Houghton Mifflin Company. All rights reserved.
Connect Midpoints in Quadrilaterals
UNIT D LESSON 2
158
D–3
Name
Draw one diagonal.
Draw the other diagonal.
Draw both diagonals.
1.
2.
Connect the midpoints Connect the midpoints of two opposite sides. of the other two sides.
Draw both line segments.
3.
4.
5. On the Back For each shape above, tell about the new shapes you made. Answers will vary. See possible answer at right.
UNIT D LESSON 3
Practice with Diagonals and Connecting Midpoints
159
Name
Copyright © Houghton Mifflin Company. All rights reserved.
160
UNIT D LESSON 3
Practice with Diagonals and Connecting Midpoints
5–1
Name
Draw coins to show 6 different ways to make 25¢ with pennies, nickels, and/or dimes. Answers will vary. Possible answers given. 1.
25¢
2.
25¢
3.
25¢
4.
25¢
5.
25¢
6.
25¢
Write how to count the money. 7. 25¢
50¢
75¢
25¢
50¢
75¢
100¢ 125¢ 150¢ 175¢ 200¢ 225¢ or or or or or or $1.00 $1.25 $1.50 $1.75 $2.00 $2.25
8.
UNIT 5 LESSON 1
85¢
95¢
96¢
97¢
Explore Quarters
161
5–1
Name
Use the bar graph to answer the questions below. Write your answers in the boxes. Ring more or fewer. Number of Pets in the Pet Store Birds Fish Puppies Kittens Lizards 0
1
2
3
4
5
6
7
8
9 10
1. There are 3 more fewer birds in the pet store than lizards. 2. There are 4 more fewer puppies in the pet store than kittens.
7
more fewer fish in the pet store than
Copyright © Houghton Mifflin Company. All rights reserved.
3. There are birds.
4. There are 2 more fewer lizards in the pet store than kittens. 5. There are than fish.
6
more fewer puppies in the pet store
6. There are more fewer fish than there are birds and lizards combined. 7. There is a total of 162
UNIT 5 LESSON 1
12
puppies and kittens. Explore Quarters
5–2
Name
Draw coins to show 6 different ways to make $1.00. Use pennies, nickels, dimes, and/or quarters. Answers will vary. Possible answers shown. 1.
$1.00
2.
$1.00
3.
$1.00
4.
$1.00
5.
$1.00
6.
$1.00
UNIT 5 LESSON 2
Explore Dollars
163
5–2
Name
Complete the number sequence. Write the rule.
75, 69, 63, 57 , 51 , 45 2. 34, 41, 48, 55 , 62 , 69 1.
Add. 3. 100
+ 71 = 171 10 + 71 = 81 1 + 71 = 72
Add. 4. 73
+ 30 ᎏ 103
Rule: n Rule: n
–6 +7
6 + 100 = 106 6 + 10 = 16 6+1= 7 64 + 99 ᎏ 163
5.
26 + 58 ᎏ 84
6.
Show your work.
Solve the story problem.
114
Copyright © Houghton Mifflin Company. All rights reserved.
7. Mr. Green worked at the store 57 hours last week. Mrs. Green worked the same number of hours. How many hours did they work in total? hours label
8. Geometry Draw a diagonal. Possible answer is shown.
164
UNIT 5 LESSON 2
Explore Dollars
5–3
Name
Solve the story problems. Rewrite the 100 or make a drawing. Add to check your answer. Tens Ones
90
9 10
10
100 = 100 + 0 – 68 = 60 + 8 30 + 2 = 32
10 0 – 68 32
1. There were 100 rubber ducks in the river race. 19 of them sank. How many ducks are in the race now?
81
ducks label
2. Ben bought 100 napkins for the picnic. We used 74 of them. How many napkins were left?
26
napkins label
Find the unknown partner. Check by adding. 3.
100 85
UNIT 5 LESSON 3
100 15
67
100 33
58
100 42
23
77
Partners and Subtraction
165
5–3
Name
Use the information in the circle graph to answer the questions below. Fill in the blanks. Weather This Month (Number of Days) Rain Sun
Sleet 3
sun 1. We had on more days than any other kind of weather. 2. We had rain 1 more day than we
6
Wind
snow
had
.
5
3. We had snow 4 fewer days than
9 8
we had
Snow
4. We had wind 5 more days than we had
sleet
.
sun
.
5. We had sun and snow for the same total number of days as we rain
had wind
and . Copyright © Houghton Mifflin Company. All rights reserved.
Write two other things the circle graph shows. Check children’s work.
166
UNIT 5 LESSON 3
Partners and Subtraction
5–4
Name
Solve the story problems. Make a Proof Drawing if you need to.
Show your work.
1. Amon had 94 tomato seeds. He used 27 of them for a science project. How many seeds did he have left?
67
seeds label
2. Benita made 56 leaf prints. She gave 29 prints to her cousins. How many prints does Benita have now?
27
prints label
3. Denise had 71 straws. She used 33 of them to make a bridge. How many straws does she have left?
38
straws label
4. Cedric had 70 sports cards. He gave away 24 cards to his friends. How many cards does Cedric have now?
46
cards label
UNIT 5 LESSON 4
Subtraction Story Problems
167
5–4
Name
Add. 1.
2.
45 + 93 ᎏ 138
72 + 59 ᎏ 131
3.
48 + 23 ᎏ 71
4. Draw coins to show two ways to make 25¢. Answers will vary. Sample answers shown.
25¢
25¢
Show your work.
Solve the story problem.
15
problems label
6. Geometry Connect midpoints of two opposite sides.
Connect midpoints of the Draw both line other two opposite sides. segments.
Answers in first two columns may be reversed. 168
UNIT 5 LESSON 4
Subtraction Story Problems
Copyright © Houghton Mifflin Company. All rights reserved.
5. Josh solved 8 math problems. If he had solved another 7 problems he would have solved as many as Mato. How many problems did Mato solve?
5–5
Name
The Expanded Method
The Ungrouping
Proof Drawing
First Method 80
+
13
8 13
93 = 90 + 3 – 57 = 50 + 7 30 + 6 = 36
93 – 57 36
Subtract using any method. Children’s methods will vary. 1.
38 –21 ᎏᎏ 17
2.
57 –39 ᎏᎏ 18
3.
95 –64 ᎏᎏ 31
4.
50 –13 ᎏᎏ 37
5.
68 –15 ᎏᎏ 53
6.
77 –29 ᎏᎏ 48
7.
74 –48 ᎏᎏ 26
8.
84 –49 ᎏᎏ 35
UNIT 5 LESSON 5
Two Methods of Subtraction
169
5–5
Name
Subtract.
64 –37 ᎏᎏ 27
2.
81 –34 ᎏᎏ 47
3.
48 –26 ᎏᎏ 22
4.
73 –19 ᎏᎏ 54
5.
96 –58 ᎏᎏ 38
6.
55 –26 ᎏᎏ 29
7.
67 –52 ᎏᎏ 15
8.
71 –45 ᎏᎏ 26
9.
43 –15 ᎏᎏ 28
10.
38 –14 ᎏᎏ 24
11.
50 –31 ᎏᎏ 19
12.
94 –57 ᎏᎏ 37
13.
76 –38 ᎏᎏ 38
14.
85 –67 ᎏᎏ 18
15.
84 –49 ᎏᎏ 35
170
UNIT 5 LESSON 5
Two Methods of Subtraction
Copyright © Houghton Mifflin Company. All rights reserved.
1.
5–6
Name
Subtract. 1.
87 –59 ᎏᎏ 28
2.
63 –14 ᎏᎏ 49
3.
55 –18 ᎏᎏ 37
4.
73 –17 ᎏᎏ 56
5.
83 –12 ᎏᎏ 71
6.
99 –35 ᎏᎏ 64
7.
62 –55 ᎏᎏ 7
8.
71 –49 ᎏᎏ 22
9.
45 –26 ᎏᎏ 19
10.
50 –11 ᎏᎏ 39
11.
92 –44 ᎏᎏ 48
12.
75 –52 ᎏᎏ 23
UNIT 5 LESSON 6
Practice and Explain a Method
171
5–6
Name
Answer the questions below by reading the circle graph. 1. How many chickens and ducks are there Animals on the Farm altogether on the farm?
191
Pigs
chickens and ducks label
2. How many more cows are there than sheep?
9
79 Sheep 48
Cows 57
Chickens 65 126 Ducks
cows label
3. How many fewer pigs are there than chickens?
47
pigs label
Subtract. 4.
5.
87 –36 ᎏᎏ 51
6.
70 –23 ᎏᎏ 47
7. Geometry Possible answers are shown. Draw one diagonal.
Draw the other diagonal.
Draw both diagonals.
Answers in first two columns may be reversed. 172
UNIT 5 LESSON 6
Practice and Explain a Method
Copyright © Houghton Mifflin Company. All rights reserved.
91 –52 ᎏᎏ 39
5–7
Name
Solve the story problems. Draw a Proof Drawing if you need to.
Show your work.
1. There were 200 water bottles on a table. The runners in a race took 73 of them. How many water bottles are left on the table?
127
water bottles label
2. There were 200 weeds in my garden. My little sister pulled out 68 of them. How many weeds are still in the garden?
132
weeds label
Subtract. 3.
200 – 66 ᎏᎏ 134
4.
200 – 82 ᎏᎏ 118
5.
200 – 68 ᎏᎏ 132
6.
200 – 95 ᎏᎏ 105
7.
200 – 72 ᎏᎏ 128
8.
200 – 47 ᎏᎏ 153
UNIT 5 LESSON 7
Subtract from 200
173
5–7
Name
Subtract.
164 – 53 ᎏᎏ 111
2.
136 – 73 ᎏᎏ 63
3.
157 – 65 ᎏᎏ 92
4.
145 – 83 ᎏᎏ 62
5.
187 – 44 ᎏᎏ 143
6.
138 – 56 ᎏᎏ 82
7.
168 – 42 ᎏᎏ 126
8.
123 – 61 ᎏᎏ 62
9.
114 – 72 ᎏᎏ 42
10.
187 – 93 ᎏᎏ 94
11.
199 – 88 ᎏᎏ 111
12.
175 – 94 ᎏᎏ 81
174
UNIT 5 LESSON 7
Copyright © Houghton Mifflin Company. All rights reserved.
1.
Subtract from 200
5–8
Name
Decide if you need to ungroup. Then subtract. 1.
147 – 32 ᎏᎏ 115
2.
147 – 38 ᎏᎏ 109
3.
147 – 48 ᎏᎏ 99
4.
126 – 54 ᎏᎏ 72
5.
126 – 57 ᎏᎏ 69
6.
126 – 97 ᎏᎏ 29
7.
187 – 46 ᎏᎏ 141
8.
187 – 49 ᎏᎏ 138
9.
187 – 99 ᎏᎏ 88
10.
172 – 35 ᎏᎏ 137
11.
172 – 85 ᎏᎏ 87
12.
172 – 31 ᎏᎏ 141
UNIT 5 LESSON 8
Practice with the Ungrouping First Method
175
5–8
Name
Show your work.
Solve the story problem. 1. The baker made 67 muffins in the morning. He plans to make 93 more. How many muffins will he make if he follows his plan?
160
muffins label
Use the picture graph to answer the questions. Bikes in the Garage Mike Christy Sarah
6
bikes
3. How many fewer bikes does Sarah have than Mike?
2
bikes
4. Geometry Connect midpoints of Connect midpoints of the two opposite sides. other two opposite sides.
176
UNIT 5 LESSON 8
Draw both line segments.
Practice with the Ungrouping First Method
Copyright © Houghton Mifflin Company. All rights reserved.
2. How many more bikes does Christy have than Sarah?
5–9
Name
Decide if you need to ungroup. Then subtract. 1.
130 – 99 ᎏᎏ 31
2.
150 – 39 ᎏᎏ 111
3.
160 – 67 ᎏᎏ 93
4.
108 – 88 ᎏᎏ 20
5.
120 – 83 ᎏᎏ 37
6.
101 – 72 ᎏᎏ 29
Solve the story problems.
Show your work.
7. There were 120 nickels in a jar. Janice took out 49. How many nickels are in the jar now?
71
nickels label
8. 109 books were sent to the bookstore last Saturday. So far, 25 have been sold. How many have not been sold?
84
books label
UNIT 5 LESSON 9
Zero in the Ones or Tens Place
177
5–9
Name
Subtract.
116 – 37 ᎏᎏ 79
2.
148 – 65 ᎏᎏ 83
3.
176 – 89 ᎏᎏ 87
4.
163 – 18 ᎏᎏ 145
5.
123 – 65 ᎏᎏ 58
6.
104 – 12 ᎏᎏ 92
7.
124 – 39 ᎏᎏ 85
8.
170 – 97 ᎏᎏ 73
9.
133 – 35 ᎏᎏ 98
10.
117 – 54 ᎏᎏ 63
11.
124 – 35 ᎏᎏ 89
12.
146 – 17 ᎏᎏ 129
178
UNIT 5 LESSON 9
Zero in the Ones or Tens Place
Copyright © Houghton Mifflin Company. All rights reserved.
1.
5–10
Name
What would you like to buy? First, see how much money you have. Pay for the item. How much money will you have left?
Yard Sale
Globe 85¢
Ring 67¢
Sports Bag 98¢
Answers will vary. 1. I have 124¢ in my pocket. I bought the
¢ left.
I have
¢ left.
4. I have 131¢ in my pocket. . I bought the
1 4 5¢ – ¢ ᎏᎏᎏ
UNIT 5 LESSON 10
.
1 5 2¢ – ¢ ᎏᎏᎏ
3. I have 145¢ in my pocket. I bought the
I have
Colored Pencils 66¢
2. I have 152¢ in my pocket. I bought the .
1 2 4¢ – ¢ ᎏᎏᎏ I have
Eraser 79¢
.
1 3 1¢ – ¢ ᎏᎏᎏ ¢ left.
I have
¢ left. Model Subtraction with Money
179
5–10
Name
Subtract. 10 1.
4.
2.
3 – 55 ᎏᎏ 48 140 – 54 ᎏᎏ 86
5.
150 – 91 ᎏᎏ 59 109 – 22 ᎏᎏ 87
Write the time on the digital clock. 7. 12 11 10
1
3.
6.
8.
2
9 7
6
5
11 12 1 10 2 9
3 8
170 – 93 ᎏᎏ 77 108 – 49 ᎏᎏ 59
3 8
4
10.
11 12 1 10 2 9
3 7
6
5
5
11 12 1 10 2 9
4
3 8
4:55
7
6
5
4
2:25
11. Geometry Draw one diagonal.
Draw the other diagonal.
Draw both diagonals.
Answers in first two columns may be reversed. 180
UNIT 5 LESSON 10
Model Subtraction with Money
Copyright © Houghton Mifflin Company. All rights reserved.
8
6
1:30
2:45 9.
7
4
5–11
Name
Draw a Math Mountain to solve each story problem. Show how you add or subtract.
Show your work.
Order of partners may vary.
1. Papi had 148 slices of pizza in his shop. He sold 56 slices. How many slices does Papi have left?
92
slices
148 56
92
label
2. There were 84 children at the park. Then 61 children joined them. How many children are at the park now?
145
children
145 84
61
label
3. Bella had 119 crayons. She gave 36 of them to her friend. How many crayons did she have left?
83
crayons
119 36
83
label
4. Luke ran for 79 minutes. Then he swam for 48 minutes. How many minutes did Luke spend doing these two things?
127
127 79
48
minutes label
UNIT 5 LESSON 11
Story Problems with Addition and Subtraction
181
5–11
Name
Show your work.
Solve the story problems. 1. Lena solved a math puzzle in 87 seconds. She solved another puzzle in 63 seconds. How many seconds did it take her to solve both puzzles?
150
seconds label
2. Lori built a tower with 147 blocks. 59 of the blocks fell off. How many blocks are in the tower now?
88
blocks label
39
Copyright © Houghton Mifflin Company. All rights reserved.
3. The library owns 113 art books. 74 of them are checked out. How many art books are still in the library? art books label
4. My dog Max has 26 spots on him. My other dog, Lucky, has 58 spots on him. How many spots do my dogs have on them?
84
spots label
182
UNIT 5 LESSON 11
Story Problems with Addition and Subtraction
5–12
Name
1. Write all of the equations for 74, 25, and 49.
74 25 49 25 + 49 = 74
74 = 25 + 49
49 + 25 = 74
74 = 49 + 25
74 – 25 = 49
49 = 74 – 25
74 – 49 = 25
25 = 74 – 49
2. Write all the equations for 157, 68, and 89.
157 68 89 68 + 89 = 157
157 = 68 + 89
89 + 68 = 157
157 = 89 + 68
157 – 68 = 89
89 = 157 – 68
157 – 89 = 68
68 = 157 – 89
UNIT 5 LESSON 12
Math Mountain Equations with Larger Numbers
183
5–12
Name
Add or subtract.
200 – 69 ᎏᎏ 131
1.
173 – 48 ᎏᎏ 125
38 + 49 ᎏᎏ 87
Use the information in the bar graph to answer these questions. 92
89 60
55
28
butterflies
ies tte
rfl
ps
37
ants label
4. How many beetles and wasps did I see in my yard?
181
beetles and wasps label
5. Draw both diagonals.
184
UNIT 5 LESSON 12
Math Mountain Equations with Larger Numbers
Copyright © Houghton Mifflin Company. All rights reserved.
Bu
W as
les et Be
ts
3. How many fewer ants did I see than beetles? An
Be
2. How many more butterflies did I see than bees?
label
32
es
100 90 80 70 60 50 40 30 20 10 0
Bugs I Saw in My Yard
0–0 5–13
Name
Add or subtract. Watch the sign! 1.
75 + 28 ᎏᎏ 103
2.
133 – 85 ᎏᎏ 48
3.
47 + 98 ᎏᎏ 145
4.
87 – 48 ᎏᎏ 39
5.
34 + 18 ᎏᎏ 52
6.
162 – 84 ᎏᎏ 78
7.
76 + 93 ᎏᎏ 169
8.
156 – 29 ᎏᎏ 127
9.
58 + 95 ᎏᎏ 153
10.
121 – 53 ᎏᎏ 68
11.
96 + 37 ᎏᎏ 133
12.
101 – 39 ᎏᎏ 62
UNIT 5 LESSON 13
Practice Addition and Subtraction
185
5–13
Name
Solve each story problem.
Show your work.
1. The doll shop had 72 new dolls. They sold 34 of them. How many dolls does the shop have left?
38
dolls label
2. I collected 95 stickers. My sister collected 48 stickers. How many stickers did my sister and I collect in all?
143
stickers label
153
Copyright © Houghton Mifflin Company. All rights reserved.
3. At the dance studio, 67 girls and 86 boys signed up for lessons. In total, how many children signed up for dance lessons? children label
4. For the picnic, we bought 153 cups. Only 78 of them were used. How many cups are left over?
75
cups label
186
UNIT 5 LESSON 13
Practice Addition and Subtraction
5–14
Name
Mr. Green wants to buy some things at a flea market. He will pay for the items with two dollars (200 cents). How much change will he get back?
Mittens
Toy Binoculars
Toy Camera
Toy Lamb
Plant
57¢
89¢
96¢
78¢
65¢
1. Mr. Green buys the mittens and the plant.
57 + 65 Total: 122¢
¢ ¢
200¢ – 122¢ = 78¢ His change will be 78 ¢. 3. Mr. Green buys the toy binoculars and the toy lamb.
89 + 78 Total: 167¢
¢ ¢
200¢ – 167¢ = 33¢ His change will be 33 ¢. UNIT 5 LESSON 14
2. Mr. Green buys the toy lamb and the toy camera.
78 + 96 Total: 174¢
¢ ¢
200¢ – 174¢ = 26¢ 26 ¢. His change will be 4. Mr. Green buys the toy camera and the plant.
96 + 65 Total: 161¢
¢ ¢
200¢ – 161¢ = 39¢ His change will be 39 ¢. Buy and Sell with Two Dollars
187
5–14
Name
1. Write all of the equations for 142, 58, and 84.
142 58
142 = 58 + 84
84
58 + 84 = 142
142 = 84 + 58
84 + 58 = 142
58 = 142 – 84
142 – 84 = 58
84 = 142 – 58
142 – 58 = 84
2. What time is it? Write the time on the digital clock. 11 12 1 10 2 9
3 8
7
6
5
4
11 12 1 10 2 9
3 8
6
5
4
5:55
9
3 8
7
6
5
4
7:30 30
11 12 1 10 2 9
3 8
7
6
5
4
8:35 35 Show your work.
Solve the story problem. 3. In the morning Kevin counted 121 trucks and 53 cars. In the afternoon he counted 68 trucks and 95 cars. How many trucks did he count altogether?
189
trucks label
188
UNIT 5 LESSON 14
Buy and Sell with Two Dollars
Copyright © Houghton Mifflin Company. All rights reserved.
10:40
7
11 12 1 10 2
5–15
Name
Add on to solve the story problems.
Show your work.
1. Rudy had 72 ants in his ant farm. He added some more ants. Now there are 209 ants. How many ants did Rudy add?
137
ants label
2. Tina had 92 flowers in her garden this morning. After she took some to school, she had 33 flowers. How many flowers did Tina take to school?
59
flowers label
3. Lia collected 119 pins. Then she gave some to Matt. Now Lia has 58 pins. How many pins did Lia give to Matt?
61
pins label
4. There were 124 cars in the garage this morning. Now there are 66 cars in the garage. How many cars left the garage?
58
cars label
UNIT 5 LESSON 15
Story Problems with Unknown Partners
189
5–15
Name
The train stops at the streets shown in the table. Tell the ticket collector where you would like to go. Pay for your ticket with one dollar (100¢). How much money will you get back? Answers will vary.
I pay with one dollar.
I pay with one dollar. .
I pay with one dollar. My change is 190
UNIT 5 LESSON 15
38¢ 46¢ 57¢ 63¢ 75¢ 82¢
My change is
.
I pay with one dollar. .
My change is
. Story Problems with Unknown Partners
Copyright © Houghton Mifflin Company. All rights reserved.
My change is
Main Street Lincoln Street Pleasant Street Green Street Spring Street Newton Street
5–16
Name
Show your work.
Solve the story problems. 1. Alma has 129 stars to make a poster. Larry has 82 stars. How many fewer stars does Larry have than Alma?
47
stars label
2. The library had 61 magazines. Today they got new magazines. Now there are 135 magazines. How many new magazines did the library get?
74
magazines label
3. Mori put 209 pretzels in a bowl for her party. Her friends ate some. Now there are 72 pretzels. How many pretzels did her friends eat?
137
pretzels label
4. Eric’s hockey team scored 41 goals, and Lou’s team scored 110 goals. How many more goals did Lou’s team score than Eric’s team?
69
goals label
UNIT 5 LESSON 16
More Story Problems with Unknown Partners
191
5–16
Name
Show your work.
Solve the story problem. 1. Al made 163 pickles for the Perfect Pickle contest. The judges ate 74 of them. How many of Al’s pickles are left?
89
pickles label
2. Complete the bar graph using the information below. • Alicia has 5 chores to do. • Kim has 4 more chores than Alicia. • Roberto has to finish 2 more chores to have as many chores as Alicia. • Tyrone has 2 fewer chores than Roberto. Household Chores
Kim Roberto Tyrone 0
1
2
3
4
5
6
7
8
9 10
Add.
+ 83 = 183 10 + 83 = 93 1 + 83 = 84
3. 100
192
UNIT 5 LESSON 16
4.
100 + 6 = 106 10 + 6 = 16 1+6= 7 More Story Problems with Unknown Partners
Copyright © Houghton Mifflin Company. All rights reserved.
Alicia
E–1
Name
1. Which two figures are congruent? Figures
C
E
and
are congruent.
B
A
E
D
C
Are the two figures similar? Write similar or not similar. 2.
3.
4.
similar
not similar
similar
5. Sort these shapes into two groups using your own rule. Answers will vary; for example, My sorting rule is quadrilateral/not quadrilateral. .
A
B
D
E
F
C
Figures
B, E, and F
are
Figures
A, C, and D
are
quadrilaterals
.
not quadrilaterals
.
6. On the Back Draw six polygons. Label each with a letter. Describe a sorting rule and sort the figures according to your rule. Check children’s work. UNIT E LESSON 1
Compare Shapes
193
Name
Copyright © Houghton Mifflin Company. All rights reserved.
Compare Shapes
UNIT E LESSON 1
194
E–2
Name
Write slide, flip, or turn to describe how the figure moved. 1.
2.
slide 3.
turn 4.
flip
slide
Draw the next figure in the pattern. 5.
6.
7. On the Back Find a flat object in your home and trace it. Slide it to the left and trace it again. Then show a turn using the same object. Check children’s work. UNIT E LESSON 2
Motion Geometry
195
Name
Copyright © Houghton Mifflin Company. All rights reserved.
Motion Geometry
UNIT E LESSON 2
196
E–4
Name
Find the area of each shaded figure in square centimeters. 1.
2.
Area =
4
square centimeters
4
Area =
3.
square centimeters
4.
Area =
4
square centimeters
8
Area =
square centimeters
Estimate the area of each figure in square centimeters. 5.
6.
Estimate of area: 5
Estimates may vary.
square centimeters
Estimate of area: 4
square centimeters
7. On the Back Draw three different figures and estimate the area of each in square centimeters. Check children’s work. UNIT E LESSON 4
Count Square Units
197
Name
Copyright © Houghton Mifflin Company. All rights reserved.
Count Square Units
UNIT E LESSON 4
198
6–1
Name
Count the hundreds, tens, and ones. Write the totals. 1.
1
9
8
Hundreds
Tens
Ones
4
5
9
Hundreds
Tens
Ones
Total
198
Total
459
2.
Draw the hundreds, tens, and ones for the numbers below. Use boxes, sticks, and circles. 3.
5.
2
4
3
Hundreds
Tens
Ones
3
8
2
Hundreds
Tens
Ones
UNIT 6 LESSON 1
4.
6.
5
6
8
Hundreds
Tens
Ones
1
7
7
Hundreds
Tens
Ones
Count Numbers to 1,000
199
6–1
Name
Subtract.
164 – 53 ᎏᎏ 111
2.
136 – 73 ᎏᎏ 63
3.
157 – 65 ᎏᎏ 92
4.
145 – 83 ᎏᎏ 62
5.
187 – 44 ᎏᎏ 143
6.
138 – 56 ᎏᎏ 82
7.
168 – 42 ᎏᎏ 126
8.
123 – 61 ᎏᎏ 62
9.
114 – 72 ᎏᎏ 42
10.
187 – 93 ᎏᎏ 94
11.
199 – 88 ᎏᎏ 111
12.
175 – 94 ᎏᎏ 81
200
UNIT 6 LESSON 1
Count Numbers to 1,000
Copyright © Houghton Mifflin Company. All rights reserved.
1.
6–2
Name
Write the hundreds, tens, and ones.
675 = 600 + 70 +
5
2.
519 = 500 + 10 + 9
3.
831 = 800 + 30 +
1
4.
487 = 400 + 80 + 7
5.
222 = 200 + 20 + 2
6.
765 = 700 + 60 + 5
1.
H T O
Write the number. 7.
300 + 40 + 6 = 3 4 6
8.
100 + 60 + 2 =
162
9.
700 + 20 + 4 = 724
10.
200 + 50 + 3 =
253
11.
400 + 70 + 1 = 471
12.
800 + 80 + 8 =
888
H T O
Write the missing number. Watch the hundreds, tens, and ones. They are out of order. 13.
435 = 30 + 5 + 400
14.
2 + 80 + 600 = 682
15.
863 = 60 + 800 + 3
16.
900 + 7 + 40 = 947
17.
354 = 300 + 4 + 50
18.
1 + 500 + 70 = 571
19.
729 = 20 + 9 + 700
20.
UNIT 6 LESSON 2
90 + 6 + 200 = 296 Place Value
201
6–2
Name
Complete the number sequence. Write the rule. 1.
43, 39, 35,
31 27 23 Rule: n ________ –4 ________, ________, ________
2.
66, 69, 72,
75 78 81 +3 ________, ________, ________ Rule: n ________
Write the hundreds, tens, and ones.
Write the number.
3.
695 = 600 + 90 +
5
5.
400 + 30 + 6 = 436
4.
547 = 500 + 40 +
7
6.
700 + 80 + 1 = 781
8.
3 + 100 = 103
Add ones, tens, or a hundred. 7.
100 + 58 = 158 10 + 58 = 68
3 + 10 = 13
1 + 58 = 59
3+1=
4 Copyright © Houghton Mifflin Company. All rights reserved.
Add or subtract. 9.
126 – 59 ᎏᎏ 67
10.
93 – 45 ᎏᎏ 48
11.
78 + 67 ᎏᎏ 145
12. Time On a separate sheet of paper, draw what you do at 8 o’clock in the morning. Show the time on a digital clock. Check children’s work.
202
UNIT 6 LESSON 2
Place Value
6–3
Name
Count by ones. Write the numbers. 1.
396 397 398 399 400 401 402 403 404 405 406
2.
695 696 697 698 699 700 701 702 703 704 705
3.
498 499 500 501 502 503 504 505 506 507 508
4.
894 895 896 897 898 899 900 901 902 903 904
5.
796 797 798 799 800 801 802 803 804 805 806
6.
597 598 599 600 601 602 603 604 605 606 607
Count by tens. Write the numbers. 7.
830 840 850 860 870 880 890 900 910 920 930
8.
470 480 490 500 510 520 530 540 550 560 570
9.
740 750 760 770 780 790 800 810 820 830 840
10.
380 390 400 410 420 430 440 450 460 470 480
11.
560 570 580 590 600 610 620 630 640 650 660
12.
690 700 710 720 730 740 750 760 770 780 790
UNIT 6 LESSON 3
Count by Ones and by Tens
203
6–3
Name
Subtract.
110 – 47 ᎏᎏ 63
2.
190 – 95 ᎏᎏ 95
3.
106 – 59 ᎏᎏ 47
4.
107 – 68 ᎏᎏ 39
5.
160 – 74 ᎏᎏ 86
6.
102 – 36 ᎏᎏ 66
7.
140 – 68 ᎏᎏ 72
8.
105 – 23 ᎏᎏ 82
9.
130 – 52 ᎏᎏ 78
10.
103 – 98 ᎏᎏ 5
11.
108 – 84 ᎏᎏ 24
12.
150 – 64 ᎏᎏ 86
204
UNIT 6 LESSON 3
Count by Ones and by Tens
Copyright © Houghton Mifflin Company. All rights reserved.
1.
6–4
Name
Add or subtract. 1.
46 + 97 ᎏᎏ 143
2.
154 – 83 ᎏᎏ 71
3.
74 + 58 ᎏᎏ 132
Show your work.
Solve each story problem. 4. You have 100¢ to buy a necklace. The necklace costs 67¢. How much change should you get back?
33
¢
5. Joy caught 47 insects. Ben caught 56. How many insects did the two children catch altogether?
103
insects label
6. What number is shown?
7. Draw boxes, sticks, and circles to show the number 348.
467 UNIT 6 LESSON 4
Group into Hundreds
205
6–4
Name
Under the coins, write the total amount of money so far. 1. 10¢
20¢
25¢
30¢
35¢
36¢
37¢
Toys
Use the table to answer the questions. Fill in the boxes with numbers. Ring more or fewer.
Toy Trucks Toy Cars Molly
85
49
Jake
68
57
2. Jake has
17
more fewer toy trucks than Molly has.
3. Molly has
8
more fewer toy cars than Jake has.
153
toy trucks altogether.
Count by ones. 5. 793
794 795 796 797 798 799 800 801 802 803
Count by tens. 6. 840
850 860 870 880 890 900 910 920 930 940
7. Time On a separate sheet of paper, draw what you do at 9 o’clock in the morning. Draw a clock face and show the time. Check children’s work. 206
UNIT 6 LESSON 4
Group into Hundreds
Copyright © Houghton Mifflin Company. All rights reserved.
4. The children have
6–5
Name
Solve each story problem. 1. Maria blew up some balloons for a party. She divided them into 4 groups of one hundred and 7 groups of ten. 6 balloons were left over. How many balloons did Maria blow up for the party?
476
balloons
2. Roger has 5 erasers. He bought 6 packages of one hundred and 2 packages of ten. How many erasers does Roger have altogether?
625
label
erasers label
3. Add.
400 + 200 = 600
440 + 7 = 447
16 + 700 = 716
40 + 50 = 90
84 + 10 = 94
70 + 7 = 77
8 + 460 = 468
200 + 9 = 209
53 + 500 = 553
30 + 10 = 40
60 + 40 = 100
60 + 4 = 64
380 + 10 = 390
900 + 80 = 980
UNIT 6 LESSON 5
800 + 200 = 1,000 Add Ones, Tens, and Hundreds
207
6–5
Name
Count by ones. Write the numbers. 1.
399 400 401 402 403 404 405 406 407 408 409
2.
596 597 598 599 600 601 602 603 604 605 606
3.
498 499 500 501 502 503 504 505 506 507 508
4.
794 795 796 797 798 799 800 801 802 803 804
5.
891 892 893 894 895 896 897 898 899 900 901
6.
597 598 599 600 601 602 603 604 605 606 607
Count by tens. Write the numbers.
330 340 350 360 370 380 390 400 410 420 430
8.
680 690 700 710 720 730 740 750 760 770 780
9.
820 830 840 850 860 870 880 890 900 910 920
10.
470 480 490 500 510 520 530 540 550 560 570
11.
760 770 780 790 800 810 820 830 840 850 860
12.
690 700 710 720 730 740 750 760 770 780 790
208
UNIT 6 LESSON 5
Add Ones, Tens, and Hundreds
Copyright © Houghton Mifflin Company. All rights reserved.
7.
6–6
Name
The quarter machine is broken today. Sometimes it works. Sometimes it doesn’t. Write “Yes” if it gave you 25¢. Write “No” if it didn’t.
10¢ 1¢ 5¢
1. Quarter Machine
25¢? No
Quarter Machine
25¢? No
Quarter Machine
25¢? Yes
Quarter Machine
25¢? Yes
2.
3.
4.
UNIT 6 LESSON 6
Review Quarters
209
6–6
Name
Add or subtract. 1.
81 + 67 ᎏᎏ 148
58 + 25 ᎏᎏ 83
167 – 78 ᎏᎏ 89
100
100
Find the unknown partner. 2.
100
37
63
11
89
21
79
Continue the number sequence.
54, 60 66 4. 55, 52, 49 46 3. 48,
,
72
,
78
,
84
,
90
Rule: n
+6
,
43
,
40
,
37
,
34
Rule: n
–3
Solve.
583
rolls label
210
UNIT 6 LESSON 6
6. Noah collects baseball cards. He has 2 boxes of one hundred cards and 4 boxes of ten cards. He also has 9 loose cards. How many cards does Noah have in total?
249
cards label Review Quarters
Copyright © Houghton Mifflin Company. All rights reserved.
5. The bakery had fresh dinner rolls. They counted 5 boxes of one hundred rolls and 8 boxes of ten rolls. They had 3 more rolls. How many rolls did the bakery have?
6–7
Name
Rewrite these money amounts. 1.
152¢ = $1.52
2.
$4.86 = 486¢
3.
$0.06 =
6¢
36¢ = $0.36
273¢ = $2.73
5¢ = $0.05
$5.03 = 503¢
$4.57 = 457¢
$3.20 = 320¢
Count by ones. 4. 26
27 28
29
30
31
32
33
34
35 36
5. 597
598 599 600 601 602 603 604 605 606 607
Count by tens. 6. 220 7.
230 240 250 260 270 280 290 300 310 320
830 840 850 860 870 880 890 900 910 920 930
Add. 8.
$3.96 + $0.08 = $ 4. 04 801 ¢ 3¢ + 798¢ = $5.97 + $0.05 = $ 6.02 503 ¢ 494¢ + 9¢ =
UNIT 6 LESSON 7
9.
$0.09 + $6.93 = $ 7 .02 202 ¢ 196¢ + 6¢ = $0.07 + $2.99 = $ 3.06 894¢ + 8¢ = 902 ¢ Buy with Dollars and Cents
211
6–7
Name
Count by ones. Write the numbers. 1.
596 597 598 599 600 601 602 603 604 605 606
2.
592 593 594 595 596 597 598 599 600 601 602
3.
895 896 897 898 899 900 901 902 903 904 905
4.
799 800 801 802 803 804 805 806 807 808 809
5.
491 492 493 494 495 496 497 498 499 500 501
6.
695 696 697 698 699 700 701 702 703 704 705
Count by tens. Write the numbers.
630 640 650 660 670 680 690 700 710 720 730
8.
870 880 890 900 910 920 930 940 950 960 970
9.
790 800 810 820 830 840 850 860 870 880 890
10.
380 390 400 410 420 430 440 450 460 470 480
11.
550 560 570 580 590 600 610 620 630 640 650
12.
460 470 480 490 500 510 520 530 540 550 560
212
UNIT 6 LESSON 7
Buy with Dollars and Cents
Copyright © Houghton Mifflin Company. All rights reserved.
7.
6–8
Name
Here are some foods from the Grocery Store. The prices are shown too. Answer the questions below.
10 Hot Dogs $2.49
4 Granola Bars $4.25
8 Ears of Corn $1.58
1 Dozen Yogurts $3.22
2 Bunches of Grapes $0.98
5 Jars of Pickles $2.13
How much change would you get from $5.00 if you bought 1. 10 hot dogs?
$ 2.51
2. 2 bunches of grapes?
$ 4.02
3. 8 ears of corn?
$ 3.42
4. 5 jars of pickles?
$ 2.87
5. 1 dozen yogurts?
$ 1.78
6. 4 granola bars?
$ 0.75
UNIT 6 LESSON 8
9 4 10 10
$ 5.0 0 – 2.4 9 $ 2.5 1
4
or
9 10
$ 5.0 0 – 2.4 9 $ 2.5 1
Change from $5.00
213
6–8
Name
Use the information in the table to answer the questions. Sandwiches Sold at the Ballpark 1. Altogether, how many tuna Sandwich Number Sold and turkey sandwiches Tuna 18 were sold? 44 sandwiches 2. Which three kinds of sandwiches together had the same number sold as chicken? tuna
,
ham
, and
turkey
Peanut Butter
57
Ham
39
Chicken
83
Turkey
26
.
3. How many more turkey sandwiches need to be sold to equal the number of ham 13 more Copyright © Houghton Mifflin Company. All rights reserved.
sandwiches sold?
4. How many more ham sandwiches need to be sold to equal the number of peanut butter sandwiches sold?
18 more
5. How many fewer chicken sandwiches would have to be sold to equal the number of tuna sandwiches sold?
65 fewer
6. How many fewer chicken sandwiches would have to be sold to equal the number of turkey sandwiches sold? 214
UNIT 6 LESSON 8
57 fewer Change from $5.00
6–9
Name
Solve each story problem. 2. Kay packs buttons at the button 1. Rita counts the visitors to the factory. She packed 7 boxes of museum. She counted 5 groups of one hundred buttons and 5 boxes one hundred and 2 groups of ten. of ten. She packed one box of 9 She also counted a small group of buttons. How many buttons did 7. How many visitors did Rita Kay pack? count?
527
759
visitors label
buttons label
Add. 3.
5.
297 + 3 = 300
4.
98 + 9 = 107
7 + 285 = 292
6 + 97 = 103
5 + 143 = 148
45 + 3 =
48
100 + 200 = 300
40 + 30 =
70
38 + 500 = 538 9 + 300 = 309
6.
200 + 200 = 400 11 + 80 =
91
295 + 9 = 304
30 + 410 = 440
50 + 500 = 550
20 + 380 = 400
UNIT 6 LESSON 9
Add Over the Hundred
215
6–9
Name
Subtract.
200 – 79 ᎏᎏ 121
2.
100 – 48 ᎏᎏ 52
3.
200 – 87 ᎏᎏ 113
4.
100 – 35 ᎏᎏ 65
5.
200 – 51 ᎏᎏ 149
6.
100 – 62 ᎏᎏ 38
7.
200 – 16 ᎏᎏ 184
8.
100 – 24 ᎏᎏ 76
9.
200 – 97 ᎏᎏ 103
10.
100 – 43 ᎏᎏ 57
11.
200 – 58 ᎏᎏ 142
12.
100 – 77 ᎏᎏ 23
216
UNIT 6 LESSON 9
Copyright © Houghton Mifflin Company. All rights reserved.
1.
Add Over the Hundred
6–10
Name
Solve each story problem. 1. Martin sold 58 tickets to the roller coaster ride. He sold 267 tickets to the boat ride. How many tickets did Martin sell?
325
2. Justine jumped 485 times on a pogo stick. Then she jumped 329 times when she tried again. How many times did she jump altogether?
814
tickets label
times label
Add. 3.
18 + 549 =
567
4.
190 + 89 = 279
5.
76 + 570 =
646
6.
75 + 656 =
731
7.
348 + 162 =
510
8.
407 + 394 =
801
UNIT 6 LESSON 10
Solve and Explain
217
6–10
Name
Complete the number sequence. Write the rule. 1.
84, 86, 88,
90 92 94 ________, ________, ________
+2 Rule: n ________
2. 52,
46, 40,
34 28 22 ________, ________, ________
–6 Rule: n ________
3. 21,
29, 37,
45 53 61 ________, ________, ________
+8 Rule: n ________
How much money is shown here? 4. =
190
¢
=
170
¢
5.
Find each unknown partner. 6.
7.
100 52
45
Solve the story problem.
55
100 76
24 Show your work.
9. The library has 180 CDs in its collection. One morning 28 CDs were checked out. In the afternoon 56 CDs were checked out. How many CDs were not checked out?
96
CDs label
218
UNIT 6 LESSON 10
Solve and Explain
Copyright © Houghton Mifflin Company. All rights reserved.
48
8.
100
6–11
Name
Add. Use any method. 1.
3.
5.
2.
$2.6 7 + $1.5 6 ᎏᎏᎏ $4.2 3
$4.8 2 + $3.4 3 ᎏᎏᎏ $8.2 5
Make a new ten?
Yes
Make a new ten?
No
Make a new hundred?
Yes
Make a new hundred?
Yes
$2.7 5 + $5.3 9 ᎏᎏᎏ $8.1 4
4.
$6.0 9 + $1.8 8 ᎏᎏᎏ $7.9 7
Make a new ten?
Yes
Make a new ten?
Yes
Make a new hundred?
Yes
Make a new hundred?
No
6.
$2.9 4 + $4.1 2 ᎏᎏᎏ $7.0 6
$3.0 7 + $3.6 6 ᎏᎏᎏ $6.7 3
Make a new ten?
No
Make a new ten?
Yes
Make a new hundred?
Yes
Make a new hundred?
No
UNIT 6 LESSON 11
Add Money Amounts
219
6–11
Name
Solve the story problems. 1. Penny has 596 umbrellas in her store. Kamala has 235 umbrellas in her store. How many umbrellas are in both stores?
831
umbrellas
2. There are 387 rulers in a box. Yesterday, Milo put 113 more rulers in the box. How many rulers are in the box now?
500
label
622
ants label
220
UNIT 6 LESSON 11
label
4. Stephanie collected 648 pieces of fabric for a huge quilt. Today, Stephanie added 261 pieces. How many pieces does she have in all?
909
pieces of fabric label Add Money Amounts
Copyright © Houghton Mifflin Company. All rights reserved.
3. There are 249 ants crawling up a tree. There are 373 ants on an ant hill. How many ants are there in all?
rulers
6–12
Name
Add. Use any method. 1.
3.
5.
2. 1 8 7
459 +267 ᎏᎏ 726
+ 374 = 5 6 1
Make a new ten?
yes
Make a new ten?
yes
Make a new hundred?
yes
Make a new hundred?
yes
678 + 15 ᎏᎏ 693
4. 635
+ 92 = 7 2 7
Make a new ten?
yes
Make a new ten?
no
Make a new hundred?
no
Make a new hundred?
yes
6.
389 +549 ᎏᎏ 938
64 + 897 = 9 6 1
Make a new ten?
yes
Make a new ten?
yes
Make a new hundred?
yes
Make a new hundred?
yes
UNIT 6 LESSON 12
Discuss 3-Digit Addition
221
6–12
Name
Find each unknown partner. 1.
2.
100
36
64
3.
100 43
57
100 51
49
Rewrite the money amount. The first one is done for you.
528¢ = $ 5.28 62¢ = $ 0.62
4.
$.07 =
7
5.
$1.10 = 110 ¢ 8¢ = $ 0.08 $4.90 = 490 ¢
¢
Count by tens. 6. 540 7.
550 560 570 580 590 600 610 620 630 640
620 630 640 650 660 670 680 690 700 710 720
8.
$4.98 + $0.05 = $ 5.03 5¢ + 799¢ =
804 ¢
$6.97 + $0.09 = $ 7.06 895¢ + 7¢ =
222
UNIT 6 LESSON 12
902 ¢
9.
$0.07 + $5.94 = $ 6.01 292¢ + 9¢ =
301 ¢
$0.06 + $3.96 = $ 4.02 193¢ + 8¢ =
201 ¢
Discuss 3-Digit Addition
Copyright © Houghton Mifflin Company. All rights reserved.
Add.
6–13
Name
Add. Use any method. 1.
207 +595 ᎏᎏ 802
Make a new ten?
Yes
Make a new ten?
Yes
Make a new hundred?
Yes
Make a new hundred?
Yes
3. 68
5.
2.
114 +286 ᎏᎏ 400
+ 393 =
461
4. 457
+ 72 =
529
Make a new ten?
Yes
Make a new ten?
No
Make a new hundred?
Yes
Make a new hundred?
Yes
328 +235 ᎏᎏ 563
6.
549 +326 ᎏᎏ 875
Make a new ten?
Yes
Make a new ten?
Yes
Make a new hundred?
No
Make a new hundred?
No
UNIT 6 LESSON 13
Story Problems: Unknown Addends
223
6–13
Name
Add.
176 +217 ᎏᎏ 393
2.
347 +242 ᎏᎏ 589
3.
514 +367 ᎏᎏ 881
4.
368 +624 ᎏᎏ 992
5.
224 +374 ᎏᎏᎏ 598
6.
533 +156 ᎏᎏ 689
7.
427 +257 ᎏᎏ 684
8.
314 +569 ᎏᎏ 883
9.
348 +239 ᎏᎏ 587
10.
485 +214 ᎏᎏ 699
11.
124 +566 ᎏᎏ 690
12.
354 +218 ᎏᎏ 572
224
UNIT 6 LESSON 13
Story Problems: Unknown Addends
Copyright © Houghton Mifflin Company. All rights reserved.
1.
6–14
Name
Solve the story problems. Use your favorite method. Make a Proof Drawing if it helps. 1. Ricardo likes olives. He had 100 olives. He ate 43 of them. How many olives does he have left?
57
olives
2. Dawn has 300 pennies in her piggy bank. She gave some to her sister. Now she has 147 left. How many pennies did Dawn give to her sister?
153
label
3. Tory sells hockey sticks to teams in her city. She had 500 and sold 353 to one team. How many hockey sticks does she have left to sell?
147
hockey sticks label
UNIT 6 LESSON 14
pennies label
4. Randy collects magnets. Over two years he collected 400 magnets. He collected 125 magnets the first year. How many did he collect the second year?
275
magnets label
Story Problems with Hundreds Numbers
225
6–14
Name
Continue the number sequence. 1.
88, 93, 98 103 , 108 , 113 , 118 , 123 67, 64, 61 58 , 55 , 52 , 49 , 46
Rule: n
+5
Rule: n
–3
Add. 2.
$6.92 + $0.19 = $ 7.11 14¢ + 388¢ = 402 ¢
3.
Write the hundreds, tens, and ones.
$0.07 + $2.98 = $ 3.05 193¢ + 8¢ = 201 ¢
Write the number.
= 800 + 30 + 7 902 = 900 + 0 + 2
4. 837
5.
300 + 40 + 8 = 348 500 + 20 + 0 = 520
Count by tens.
7.
430 440 450 460 470 480 490 500 510 520
650 660 670 680 690 700 710 720 730 740 750
Find each unknown partner. 8.
100
100 22
226
78
UNIT 6 LESSON 14
79
100 21
87
13
Story Problems with Hundreds Numbers
Copyright © Houghton Mifflin Company. All rights reserved.
6. 420
6–15
Name
Children’s ungrouping may vary. Decide if you need to ungroup. If you need to ungroup, draw a magnifying glass around the top number. Then find the answer.
1.
12 6 13 10
2.
730 –499 ᎏᎏ 231
4 10
950 –639 ᎏᎏ 311
Ungroup to get 10 ones?
Yes
Ungroup to get 10 ones?
Yes
Ungroup to get 10 tens?
Yes
Ungroup to get 10 tens?
No
3.
9 2 10 10
4.
300 –167 ᎏᎏ 133
9 3 10 14
404 –188 ᎏᎏ 216
Ungroup to get 10 ones?
Yes
Ungroup to get 10 ones?
Yes
Ungroup to get 10 tens?
Yes
Ungroup to get 10 tens?
Yes
5.
11 3 12 10
6.
420 –183 ᎏᎏ 237
502 – 149 = 3 5 3
Ungroup to get 10 ones?
Yes
Ungroup to get 10 ones?
Yes
Ungroup to get 10 tens?
Yes
Ungroup to get 10 tens?
Yes
UNIT 6 LESSON 15
Subtract from Numbers with Zeros
227
6–15
Name
Add.
226 + 457 ᎏᎏ 683
2.
547 + 332 ᎏᎏ 879
3.
424 + 357 ᎏᎏ 781
4.
458 + 214 ᎏᎏ 672
5.
114 + 874 ᎏᎏ 988
6.
623 + 256 ᎏᎏ 879
7.
537 + 457 ᎏᎏ 994
8.
424 + 269 ᎏᎏ 693
9.
458 + 439 ᎏᎏ 897
10.
575 + 324 ᎏᎏ 899
11.
234 + 456 ᎏᎏ 690
12.
438 + 329 ᎏᎏ 767
228
UNIT 6 LESSON 15
Subtract from Numbers with Zeros
Copyright © Houghton Mifflin Company. All rights reserved.
1.
6–16
Name
Decide if you need to ungroup. If you need to ungroup, draw a magnifying glass around the top number. Then find the answer. Children’s ungrouping may vary.
1.
3.
3 10
$7.1 0 – $2.2 8 ᎏᎏᎏ $4.8 2
$4.0 8 – $0.5 3 ᎏᎏᎏ $3.5 5 Ungroup to get 10 ones?
No
Ungroup to get 10 ones?
Yes
Ungroup to get 10 tens?
Yes
Ungroup to get 10 tens?
Yes
9 2 10 10
4.
$3.0 0 – $2.6 8 ᎏᎏᎏ $0.3 2
1 10
$2.0 7 – $0.5 5 ᎏᎏᎏ $1.5 2
Ungroup to get 10 ones? Yes
Ungroup to get 10 ones?
No
Yes
Ungroup to get 10 tens?
Yes
Ungroup to get 10 tens?
5.
2.
10 6 0 10
8 10
6.
$5.9 0 – $1.7 7 ᎏᎏᎏ $4.1 3
8 10
$9.0 3 – $6.3 3 ᎏᎏᎏ $2.7 0
Ungroup to get 10 ones?
Yes
Ungroup to get 10 ones?
No
Ungroup to get 10 tens?
No
Ungroup to get 10 tens?
Yes
UNIT 6 LESSON 16
Subtract Money Amounts
229
6–16
Name
How much money is shown here? 1. =
108
¢
Add or subtract. 2.
375 +246 ᎏᎏ 621
3.
546 +262 ᎏᎏ 808
4.
151 – 82 ᎏᎏ 69
5.
118 – 65 ᎏᎏ 53
Complete the number sequence. Write the rule. 6.
11, 17, 23,
29 35 41 +6 ________, ________, ________ Rule: n ________
Write 8 equations for each Math Mountain. 7.
223
132 + 91 = 223
223 = 91 + 132
223 = 132 + 91
223 – 91 = 132
223 – 132 = 91
91 = 223 – 132
132 = 223 – 91
Subtract. 8.
230
400 – 34 ᎏᎏ 366
UNIT 6 LESSON 16
9.
630 – 59 ᎏᎏ 571
10.
701 – 93 ᎏᎏ 608
11.
226 – 37 ᎏᎏ 189
Subtract Money Amounts
Copyright © Houghton Mifflin Company. All rights reserved.
91 132
91 + 132 = 223
6–17
Name
Decide if you need to ungroup. If you need to ungroup, draw a magnifying glass around the top number. Then find the answer. Children’s ungrouping may vary. 1.
12 4 2 11
2.
531 –434 ᎏᎏ 97
4 17
579 –296 ᎏᎏ 283
Ungroup to get 10 ones?
Yes
Ungroup to get 10 ones?
No
Ungroup to get 10 tens?
Yes
Ungroup to get 10 tens?
Yes
3.
8 11
4. 238
391 –265 ᎏᎏ 126
– 177 =
61
Ungroup to get 10 ones?
Yes
Ungroup to get 10 ones?
No
Ungroup to get 10 tens?
No
Ungroup to get 10 tens?
Yes
5. Latoya plans to drive 572 miles on her vacation. The first day she drove 386 miles. How many more miles does she have to drive?
186
miles
6. Elena had $7.35. She bought a gift for $4.27. How much money does she have left?
$3.08
label UNIT 6 LESSON 17
Subtract from Any 3-Digit Number
231
6–17
Name
Solve each story problem. 1. Carrie has 654 stamps in her stamp collection. Hector has 327 stamps in his collection. How many stamps are there in both collections?
981
stamps
2. In one week, Farida drove her motorcycle 569 miles. The next week she drove 253 miles. How many miles did she drive in the two weeks?
822
label
621
pages label
232
UNIT 6 LESSON 17
label
4. Armani has saved up 283 dollars. Lita has saved up 327 dollars. How much money do Armani and Lita have together?
610
dollars label Subtract from Any 3-Digit Number
Copyright © Houghton Mifflin Company. All rights reserved.
3. Kuri has read 369 pages in her book. This weekend, Kuri plans to read 252 pages. How many pages will Kuri have read at the end of this weekend?
miles
6–18
Name
Decide if you need to ungroup. If you need to ungroup, draw a magnifying glass around the top number. Then find the answer. Children’s ungrouping may vary. 1.
2 10
2.
630 –318 ᎏᎏ 312
12 8 2 11
931 –845 ᎏᎏ 86
Ungroup to get 10 ones?
Yes
Ungroup to get 10 ones?
Yes
Ungroup to get 10 tens?
No
Ungroup to get 10 tens?
Yes
3 10
3.
4.
407 –274 ᎏᎏ 133
498 –276 ᎏᎏ 222
Ungroup to get 10 ones?
No
Ungroup to get 10 ones?
No
Ungroup to get 10 tens?
Yes
Ungroup to get 10 tens?
No
5. Jamal had 590 craft sticks. He used 413 craft sticks to make a building. How many craft sticks does he have left?
177
craft sticks label
UNIT 6 LESSON 18
6. Clare and her family are driving to Blue Valley Mountains. Blue Valley Mountains is 290 miles from their home. They drove 184 miles. How many more miles do they have to go?
106
miles label Practice Ungrouping
233
6–18
Name
Complete the money tables. Answers will vary. Sample answers shown. 1.
49¢ Q 1 D 1 N 2 P
4
2.
= 25¢ = 10¢ = 10¢ = 4¢ 49 ¢
72¢ Q 2 D 2 N 0 P
2
3.
= 50¢ = 20 ¢ = 0¢ = 2¢ 72 ¢
The market sells fresh fruit. The table shows how much fruit they sold this week. 4. How many fewer lemons did the market sell than bananas?
65¢ Q 2 D 1 N P
= 50 ¢ = 10 ¢ = 5¢ = 0¢ 65 ¢
1 0
Fresh Fruit Sold This Week Lemons
200
Apples
680
Bananas
450
250 fewer lemons Copyright © Houghton Mifflin Company. All rights reserved.
5. How many more apples did the market sell than bananas? 230 more apples 6. How many fewer lemons did the market sell than apples? 480 fewer lemons
7. Time On a separate piece of paper, draw what you do at 10 o’clock P.M. Show the time on a digital clock. Check children’s work. 234
UNIT 6 LESSON 18
Practice Ungrouping
6–19
Name
Decide if you need to add or subtract. Then solve each problem. 1.
184 +433 ᎏᎏ 617
2.
552 –399 ᎏᎏ 153
3.
328 –119 ᎏᎏ 209
4.
288 +294 ᎏᎏ 582
5.
967 – 548 = 4 1 9
6.
474 – 355 = 1 1 9
UNIT 6 LESSON 19
Relationships between Addition and Subtraction Methods
235
6–19
Name
Subtract.
391 –265 ᎏᎏ 126
2.
648 –156 ᎏᎏ 492
3.
925 –583 ᎏᎏᎏ 342
4.
362 –171 ᎏᎏ 191
5.
652 –234 ᎏᎏ 418
6.
774 –258 ᎏᎏ 516
236
UNIT 6 LESSON 19
Relationships between Addition and Subtraction Methods
Copyright © Houghton Mifflin Company. All rights reserved.
1.
6–20
Name
Solve each story problem. 1. Abigail’s mother gave her some carrots to sell at the state fair. Then Abigail picked 367 more from the garden. Now Abigail has 825 carrots to sell. How many did her mother give her?
458
carrots
2. Stanley the grocer had lots of mushrooms. He sold 679 in the morning. Now he has 244 left to sell. How many mushrooms did Stanley have at the beginning?
923
label
3. Carmen has 347 guppies in her fish tank. Peter must give away 156 of his guppies to have the same number as Carmen. How many guppies does Peter have in his tank?
503
guppies label
UNIT 6 LESSON 20
mushrooms label
4. Stanley bought 283 bags of flour for his store. Ted needs 148 bags of flour to have as many as Stanley. How many bags of flour does Ted have?
135
bags of flour label
Unknown Start and Comparison Problems
237
6–20
Name
Add or subtract. 1.
504 +399 ᎏᎏ 903
$4.7 3 – $2.5 8 ᎏᎏᎏ $2.1 5
962 –775 ᎏᎏ 187
Write the hundreds, tens, and ones. 2.
382 = 300 + 738 = 700 +
80 30
+ +
2 8
Write the number. 3.
90 + 0 + 400 = 490 6 + 500 + 10 = 516
Solve each story problem.
149
people
5. Colby is practicing football. He kicked the ball 168 times this morning. He kicked the ball 207 times this afternoon. How many times did he kick today?
375
times
label
label
6. Time On a separate piece of paper, draw what you do at 6 o’clock in the morning. Draw a clock face and show the time. Check children’s work. 238
UNIT 6 LESSON 20
Unknown Start and Comparison Problems
Copyright © Houghton Mifflin Company. All rights reserved.
4. 198 people are already on an airplane. The rest are waiting to get on. There are 347 people altogether. How many people are waiting to get on the airplane?
6–21
Name
Solve each story problem. 1. Mario bought 644 plastic cups. He gave 337 to the art teacher. How many cups did he have left?
307
cups
2. Joel collects baseball cards. He had 568 cards. Then he bought 329 more at a yard sale. How many cards does he have now?
897
label
label
3. A bird collected 392 sticks to build a nest. Then she collected 165 more. How many sticks did the bird collect?
557
sticks label
UNIT 6 LESSON 21
cards
4. There are 765 books in the school library. 259 are paperback, and the rest are hardcover. How many hardcover books are there in the library?
506
hardcover books label
Mixed Addition and Subtraction Story Problems
239
6–21
Name
Solve each story problem. 1. Some children had 458 raisins. They got hungry and ate some of them. Now they have 285 left. How many raisins did they eat?
173
raisins
2. Tom collects rocks. Last night, he went to the beach and found 329 rocks. This morning he found 468 rocks. How many rocks did he find altogether?
797
label
649
cherries label
240
UNIT 6 LESSON 21
label
4. Noella has 563 marbles. Soniah has 255. How many more marbles does Noella have than Soniah?
308
marbles label Mixed Addition and Subtraction Story Problems
Copyright © Houghton Mifflin Company. All rights reserved.
3. Sarah had 285 cherries. Then she bought 364 more cherries. How many total cherries does she have now?
rocks
6–22
Name
Directions for the puzzle appearing on page 242. 1. Start by coloring in the 7 dotted squares. These are “free” squares. They are part of the puzzle solution. 2. Solve a problem below. Then look for the answer in the puzzle grid. Color in that puzzle piece. 3. Solve all 17 problems correctly. Color in the puzzle pieces for all 17 correct answers. flower 4. Name the hidden picture. It is a(n)
.
533 +288 ᎏᎏ 821
746 –517 ᎏᎏ 229
675 +249 ᎏᎏ 924
854 –437 ᎏᎏ 417
662 –398 ᎏᎏ 264
717 +175 ᎏᎏ 892
808 –232 ᎏᎏ 576
453 +390 ᎏᎏ 843
689 +129 ᎏᎏ 818
926 –843 ᎏᎏ 83
591 +349 ᎏᎏ 940
580 –445 ᎏᎏ 135
813 –116 ᎏᎏ 697 UNIT 6 LESSON 22
386 +371 ᎏᎏ 757
754 –469 ᎏᎏ 285
57 4 +209 ᎏᎏ 783
372 –187 ᎏᎏ 185 Spend Money
241
6–22
Name
See page 241 for directions on how to solve the puzzle.
542 529
708
UNIT 6 LESSON 22
231
935 103
336
417 317
298 924 264 427
960
108
426
386 234
188 929
962
394
808 144
414
36 365
291 818
245
285
560
183
821 921 229 563
727
353 643 918
928
891
Spend Money
Copyright © Houghton Mifflin Company. All rights reserved.
83
576 215
722 279
697
559
769 542
242
145 295
346 941
676 783
940 496 185
163 675
63 484 843
882
955
18
135 945 892
320
15
555
757
657
F–1
Name
1. Complete the table. Estimate the height of six people, pets, or objects. Find the actual heights. If necessary, round measurements to the nearest centimeter. Then, calculate the difference between your estimate and the actual measurement. Answers will vary. Person, pet, or object
Estimated height in cm
Actual height in cm
Difference between estimated and actual height in cm
2. On the Back Write two questions about the data you collected. Answer your questions. Answers will vary. UNIT F LESSON 1
Meters and Decimeters
243
Name
Copyright © Houghton Mifflin Company. All rights reserved.
Meters and Decimeters
UNIT F LESSON 1
244
F–2
Name
Measure four rectangular objects using your paper meter stick. Include at least two objects that have measurements greater than 100 cm. Write a clue for each object about its color, shape, location, or use. Ask your Homework Helper to guess each of your objects. Answers will vary. 1. The length of the object is cm. The width of the object is
cm.
Clue:
2. The length of the object is The width of the object is
cm. cm.
Clue:
3. The length of the object is The width of the object is
cm. cm.
Clue:
4. The length of the object is The width of the object is
cm. cm.
Clue: 5. On the Back Use your paper meter stick to measure the height of one or more people in your family. Make a list with the name of each family member and his or her height. Answers will vary. UNIT F LESSON 2
Fun With Measuring
245
Name
Copyright © Houghton Mifflin Company. All rights reserved.
Fun With Measuring
UNIT F LESSON 2
246
F–3
Name
Solve the story problems. Ring yes or no.
Show your work.
1. The height of the window in Juan’s bedroom is 2 m 3 dm. Juan found some curtains that are 203 cm long. Are the curtains long enough? Yes
No
Why or why not?
2 m 3 dm = 230 cm, which is greater than 203 cm. 2. Max needs $2.50 to buy birthday cards for his twin cousins. He has 1 dollar, 9 dimes, and 7 pennies. Does he have enough money? Yes
No
Why or why not?
Max has $1.97, which is less than $2.50. 3. Jack says that he is taller than Taci. Jack is 11 dm 3 cm tall. Taci is 1 m 1 dm tall. Is Jack taller than Taci? Yes No Why or why not? Jack is 113 cm tall and Taci is 110 cm tall. 4. On the Back Measure three objects, each with a length greater than 100 cm. Write each length measurement in centimeters. Then, write the equivalent measurements in meters, decimeters, and centimeters. Answers will vary. UNIT F LESSON 3
Meter, Decimeter, and Centimeter Equivalencies
247
Name
Copyright © Houghton Mifflin Company. All rights reserved.
248
UNIT F LESSON 3
Meter, Decimeter, and Centimeter Equivalencies
F–4
Name
1. Answer each question. Draw a picture if it helps. How many dimes in 2 dollars?
How many pennies in 3 dimes? 30
20 How many ones in 2 tens?
How many tens in 2 hundreds?
20
20
How many decimeters in 2 m?
How many centimeters in 2 m?
20
200
How many pennies in 3 dollars?
How many ones in 4 tens? 40
300 2. Write the numbers. 3 m 4 dm 7 cm =
34
=
347 cm
2m =
dm
7 cm = 36 dm 4 cm = 364 cm
7 dm
1 cm
dm
1 cm
27
= 271
cm
3 m 6 dm 4 cm
4 m 3 dm 8 cm = 43 dm =
$6.10 = 61 dimes 0 pennies = 610 pennies
8 cm
438 cm
6 m 5 dm 6 cm = 65 dm =
6 cm
656 cm
$2.48 = 24 dimes 8 pennies = 248 pennies
$ 3 . 25 = 32 dimes
5 pennies
= 325 pennies
3. On the Back Draw a line segment 10 cm long. Label its length in decimeters. Draw another line segment 2 dm long. Label its length in centimeters. Check children’s work. UNIT F LESSON 4
Practice With Meters and Money
249
Name
Copyright © Houghton Mifflin Company. All rights reserved.
Practice With Meters and Money
UNIT F LESSON 4
250
F–5
Name
Is each shape two-dimensional (2-D) or three-dimensional (3-D)? 1.
2.
3.
2-D
3-D
2-D
For each rectangular prism, draw the top view, front view, and side views. 4.
5.
top
front
top
side
front
side
Find the volume of each three-dimensional shape. 6.
7.
4
cubic units
8.
3
cubic units
11
cubic units
9. On the Back Find a rectangular prism in your home. Trace or draw the top, front, and side views. Check children’s drawings. UNIT F LESSON 5
3-Dimensional Shapes
251
Name
Copyright © Houghton Mifflin Company. All rights reserved.
3-Dimensional Shapes
UNIT F LESSON 5
252
F–6
Name
Answers will vary. Sample answers are given. 1. Describe how the pair of shapes is alike and different. Shapes
cube
sphere
How these shapes are alike
How these shapes are different
Both shapes can slide and both are threedimensional.
A rectangular prism can stack and a cone can roll. A cone has a curved surface. A rectangular prism has all flat faces.
cylinder
cone
rectangular prism
square pyramid
2. Use a Venn diagram to sort these shapes into two groups: shapes that stack and shapes that slide. Write the names of the shapes in the Venn diagram.
Stack
Slide cube rectangular prism
square pyramid cone
cylinder sphere 3. On the Back Find three-dimensional shapes in your home and neighborhood. Draw the objects you find Check children’s work. and describe what they are used for. UNIT F LESSON 6
Analyze 3-Dimensional Shapes
253
Name
Copyright © Houghton Mifflin Company. All rights reserved.
Analyze 3-Dimensional Shapes
UNIT F LESSON 6
254
7–1
Name
Count by 2s. Then multiply. 1. Horns on a bull
2
4
6
8
4μ2=
8
2μ2=
4
2. Eyes on a teddy bear
2
4
3. Hearts on a valentine
2
4
6
8
10
12
6 μ 2 = 12
4. Leaves on a holly branch
2
4
6
8
10 12 14 16 18 9 μ 2 =
18
5. Wheels on a bicycle
2 UNIT 7 LESSON 1
4
6
8
10
5 μ 2 = 10 Introduction to Multiplication
255
7–1
Name
Subtract. Ungroup if you need to.
592 –475 ᎏᎏ 117
2.
635 –464 ᎏᎏ 171
3.
417 –246 ᎏᎏ 171
4.
773 –527 ᎏᎏ 246
6.
934 – 417 = 5 1 7
5. 846
256
– 584 = 2 6 2
UNIT 7 LESSON 1
Introduction to Multiplication
Copyright © Houghton Mifflin Company. All rights reserved.
1.
7–2
Name
Count by 3s. Then multiply. 1. Flowers on a stem
3
6
9
12
4μ3=
12
9
3μ3=
9
2. Strawberries on a plate
3
6
3. Sides in triangles
3
6
9
12
15
18
6 μ 3 = 18
15
5μ3=
4. Crayons in a group
3
6
9
12
15
5. Toys in a sandbox play set
3 UNIT 7 LESSON 2
6
9
12
15
18
21 7 μ 3 =
21
Groups of Three
257
7–2
Name
Add or subtract.
415 +1 9 1 ᎏᎏ 606
1.
2.
754 +1 8 7 ᎏᎏ 941
3.
501 – 48 ᎏᎏ 453 Show your work.
Solve the story problems. 4. There are 5 trucks. Each truck has 2 logs in it. How many logs are there altogether?
2+2+2+2+2= 5 μ 2 = 10 10
10
logs label
Flowers in the Garden Number of Flowers Tulips
10
Daffodils Crocuses Snowdrops
8 11 6
258
UNIT 7 LESSON 2
5. There are 3 more fewer daffodils than crocuses in the Mason School garden. 6. There are 2 more fewer tulips than daffodils in the Mason School garden. 7. The school needs to plant 4 more snowdrops to have as many as there are tulips.
Groups of Three
Copyright © Houghton Mifflin Company. All rights reserved.
The Mason School spring garden has 10 tulips, 8 daffodils, 11 crocuses, and 6 snowdrops. Make a table to show this. Then answer the questions. Ring more or fewer.
7–3
Name
Count by 4s. Then multiply. 1. Wings on a dragonfly
4
8
12
16
20
12
16
20
5 μ 4 = 20
2. Sides on a rectangle
4
8
24
6 μ 4 = 24
3. Legs on a giraffe
4
8
12
4μ4=
16
16
4. Fish in a frying pan
4
20
5 μ 4 = 20
12 16 20 24 28 32
8 μ 4 = 32
8
12
16
5. Apples on a plate
4 UNIT 7 LESSON 3
8
Groups of Four
259
7–3
Name
Subtract.
724 –358 ᎏᎏ 366
2.
642 –293 ᎏᎏ 349
3.
663 –474 ᎏᎏ 189
4.
972 –389 ᎏᎏ 583
5.
842 –567 ᎏᎏ 275
6.
$5.2 5 – $2.3 8 ᎏᎏᎏ $2.8 7
260
UNIT 7 LESSON 3
Copyright © Houghton Mifflin Company. All rights reserved.
1.
Groups of Four
7–4
Name
Count by 5s. Then multiply. 1. Peas in a peapod
5
10
15
4 μ 5 = 20
20
2. Arms on a starfish
5
10
15
20
25
30
35
40
45 9 μ 5 = 45
3. Leaves on a branch
5
10
15
20
25
30
35
7 μ 5 = 35
4. Make a garden that is 5 μ 6 or 6 μ 5. Draw one bean in each square. How many beans are there?
5 μ 6 or 6μ5=
30 Sample drawing shown.
UNIT 7 LESSON 4
Groups of Five and Arrays
261
7–4
Name
1. How many beans are planted in this garden?
3 10
μ μ
10 3
2. Complete the money table: Answers will vary.
68¢ Q 1 D 3 N 2 P 3
or
=
=
25 ¢
= = =
30 ¢ 10 ¢ 3¢ 68 ¢
30
3. Write 8 equations for the Math Mountain.
732 249 483
249 + 483 = 732
732 – 249 = 483
483 + 249 = 732
732 – 483 = 249
732 = 249 + 483
483 = 732 – 249
732 = 483 + 249
249 = 732 – 483
4. The boys collected 542 coats, and 5. Mr. Jones has 236 melons to sell the girls collected 368 coats for at the fair. He has already sold the clothing drive. How many more 129. How many more melons does coats did the boys collect than the he have to sell? girls?
174
coats label
262
UNIT 7 LESSON 4
107
melons label Groups of Five and Arrays
Copyright © Houghton Mifflin Company. All rights reserved.
Solve the story problems.
7–5
Name
1. How many apple trees are in this orchard? Write the 4s count-bys and the total.
4 7
4
8
12
μ μ
7
or
4
=
28
16 20 24 28
2. Make an array of 32 trees. Write the multiplication.
4
μ
8
or
8
μ
4
=
32
Sample answer shown.
UNIT 7 LESSON 5
Work with Arrays
263
7–5
Name
Solve the problems. Write the count-bys and the total. 1. Leaves on a clover
3
6
9
12
15
18
21
24
27 9μ3=
27
2. How many strawberries are in this carton? Write the 4s count-bys and the total.
7 4
μ μ
4
or
7
=
28 Copyright © Houghton Mifflin Company. All rights reserved.
4 264
8
12
UNIT 7 LESSON 5
16 20 24 28 Work with Arrays
7–6
Name
Draw in your answers. Write the numbers too. 1. Valeria has twice as many crackers as Brian. Valeria has Brian has
14 7
Grant has
9
Our School
Grant School
Muffy
Fluffy
Main Street
First Street
.
18
.
.
3. Fluffy and Muffy have equal shares of dog treats. Fluffy has
16
.
Muffy has
16
.
4. Main Street has half as many stoplights as First Street. Main Street has
5
.
First Street has
10
.
UNIT 7 LESSON 6
Valeria
.
2. Our school has double the number of teachers as Grant School. Our school has
Brian
The Language of Shares
265
7–6
Name
Add or subtract. 1.
$5.0 9 – $2.3 9 ᎏᎏᎏ $2.7 0
2.
485 + 446 = 931
Complete the number sequence. 3. 36,
41, 46 51
,
56
,
61
,
66
,
71
Rule: n
+5
Use the information in the circle graph to answer the questions. Fill in the circle next to the correct answer. Leaves in Joshua’s Scrapbook Maple
Oak 7
6
Holly
Gingko 5
maple and oak leaves holly and maple leaves elm and oak leaves gingko and maple leaves
8 Elm
5. Joshua has 1 less maple leaf than . gingko leaves holly leaves elm leaves oak leaves
6. Joshua has 3 more holly leaves than . oak leaves elm leaves maple leaves gingko leaves
7. On a separate piece of paper, write a story problem that takes two steps to solve. Then solve it. Check children’s work. 266
UNIT 7 LESSON 6
The Language of Shares
Copyright © Houghton Mifflin Company. All rights reserved.
8
4. Joshua has the same amount of gingko and elm leaves as and .
7–7
Name
Does the figure have a line of symmetry? Write yes or no. If yes, draw one line of symmetry. L ines of symmetry may vary. 1.
2.
yes 4.
3.
yes 5.
yes 7.
yes 6.
no 8.
yes 9.
yes
yes yes
UNIT 7 LESSON 7
Symmetry
267
7–7
Name
Solve the problems. 1. How many lenses are there? Write the count-bys and the total.
2
4
6
8
10
12
14
14
7μ2=
2. How many chickens are in this barn? Write the 2s count-bys and the total.
268
4
UNIT 7 LESSON 7
6
8
μ
6
or
6
μ
2
=
12 Copyright © Houghton Mifflin Company. All rights reserved.
2
2
10 12
Symmetry
7–8
Name
1. Shade in the fractions for the shapes. Sample answers are shown.
1 ᎏ 2
2 1 1 ᎏ=ᎏ+ᎏ 3 3 3
3 ᎏ 1 ᎏ 1 ᎏ 1 ᎏ = + + 4 4 4 4
2. How much is shaded? Write the fraction.
1 ᎏ 2 UNIT 7 LESSON 8
3 ᎏ 4 Fractions
269
7–8
Name
Is the figure symmetrical? Write yes or no. If yes, draw one line of symmetry. L ines of symmetry may vary. 1.
2.
3.
yes
no yes
Add or subtract. 4.
5.
$ 7.2 1 – $4.2 3 ᎏᎏᎏ $2.9 8
479 +386 ᎏᎏᎏ 865
Draw in your answers. Write the numbers.
Sara has
8
.
Ray has
4
.
7. Luke has half as many chips as Leda. Luke has Leda has
270
UNIT 7 LESSON 8
8 16
Sara
Ray
Luke
Leda
Copyright © Houghton Mifflin Company. All rights reserved.
6. Sara has double the number of balloons as Ray.
. .
Fractions
7–9
Name
Compare the shaded parts. Write >, ᎏ 3 4
2 1 ᎏ ᎏ = 4 2
3.
4.
1 ᎏ < 2
3 ᎏ 4
2 1 > ᎏ 3
Complete the chart. Money Amount
Number of Cents 50
5. 5 dimes 6. 2 dimes 7.
UNIT 7 LESSON 9
¢
42 3¢
$0.50 $0. 20
20¢
42 pennies
8. 3 pennies
Dollars and Cents
¢
$0.42 $ 0 . 03
Fraction of a Dollar ᎏ5ᎏ 10 2 ᎏᎏ 10 42
ᎏᎏ 100 ᎏ3ᎏ 100
More on Fractions
271
7–9
Name
Is the figure symmetrical? Write yes or no. If yes, draw one line of symmetry. L ines of symmetry may vary. 1.
2.
yes
4.
3.
yes
5.
yes
yes
7.
no
UNIT 7 LESSON 9
Copyright © Houghton Mifflin Company. All rights reserved.
6.
272
no
8.
yes
yes
More on Fractions
7–10
Name
Look at the bag of cubes. Circle the correct event. 1. Which event is certain?
2. Which event is impossible?
I will pick a black cube.
I will pick a black cube.
I will pick a white cube.
I will pick a white cube.
Look at the bag of cubes. How likely are you to pick a than a
?
3.
4.
more likely
more likely
less likely
less likely
Color in the spinners to make the statements true. Check children’s answers. 5. This is a fair spinner.
UNIT 7 LESSON 10
6. This is an unfair spinner.
Explore Probability
273
7–10
Name
Use the information in the bar graph to answer the questions. School Supplies Sold on Monday 100
1. How many pencils and erasers were sold altogether? 169 pencils and erasers
94
90 80 75 70
2. How many fewer notebooks were sold than erasers?
58
60
17 fewer notebooks
50
41
40 30 20
20 10 0
erasers notebooks calculators pencils
boxes of crayons
4. How many fewer pencils need to be sold to equal the number of notebooks sold? 36 fewer pencils Subtract. 5.
584 –275 ᎏᎏ 309
6.
427 –136 ᎏᎏ 291
7.
912 –458 ᎏᎏ 454
8.
203 –171 ᎏᎏ 32
9. Time On a separate piece of paper, draw what you do at 12 o’clock P.M. Show the time on a digital clock. Check children’s work. 274
UNIT 7 LESSON 10
Explore Probability
Copyright © Houghton Mifflin Company. All rights reserved.
3. How many more boxes of crayons were sold than calculators? 21 more boxes of crayons
7–11
Name
Make an organized list to solve the problems. 1. Eli has a blue shirt and a tan shirt. He also has a pair of black pants and a pair of brown pants. How many different combinations of a shirt and pants can he wear?
4
different combinations
3. Blair packed a pair of boots and a pair of running shoes. She also packed a baseball cap, a sun hat, and a western hat. How many different combinations of shoes and hats can she wear?
6
Shirt Color Pants Color blue black blue brown tan black tan brown
different combinations
2. Mr. Alvarez has lilies, roses, and tulips to put in a tall vase and in a short vase. How many different combinations can he arrange with the flowers and vases?
6
Show your work.
different combinations
UNIT 7 LESSON 11
Flower lilies lilies roses roses tulips tulips Shoe boots boots boots running shoes running shoes running shoes
Vase tall short tall short tall short Hat western sun baseball western sun baseball
Possible Outcomes
275
7–11
Name
1. Shade in the fractions for the shapes. Sample answers are shown.
2 ᎏ 1 ᎏ 1 ᎏ = + 3 3 3
3 ᎏ 1 ᎏ 1 ᎏ 1 ᎏ 4 = 4 + 4 + 4
Copyright © Houghton Mifflin Company. All rights reserved.
2. How much is shaded? Write the fraction.
3 ᎏ 4
276
UNIT 7 LESSON 11
2 ᎏ 3
Possible Outcomes
G–1
Name
1. Use the width of your hand to measure the length of three objects. Measure the same objects using the width of a finger. Answers will vary. Object
Length (hands)
Length (fingers)
2. Find three containers. Use small objects, like beans or cups of rice or water, to measure the capacity of each container. Remember to include units in your answers. Answers will vary. Container
Capacity
3. Find three objects that are about the same size. Hold the objects one at a time to compare their masses. List the objects in order from least to greatest mass. Answers will vary.
4. On the Back Describe how measuring length and Possible answer: capacity are similar. You can use a non-standard unit to measure them. UNIT G LESSON 1
Explore Measurement Concepts
277
Name
Copyright © Houghton Mifflin Company. All rights reserved.
Explore Measurement Concepts
UNIT G LESSON 1
278
G–2
Name
1. Find five objects at home to measure in inches. Estimate and measure the length of each object. If necessary, round the measurements. Complete the table. Answers will vary. Object
Estimated length (in.)
Measured length (in.)
2. Find five objects at home to measure in feet or yards. Complete the table. Remember to include units with your measurements. Answers will vary. Object
Measured length
3. Fill in the correct number. 1 ft = 12 in. 3 ft = 2 yd =
6
ft
3 ft =
1
yd
1 yd =
36
in.
36 in. =
36
in.
3
ft
4. On the Back Measure your height in feet. Measure the length of your leg and the length of your arm in inches. Make a drawing of yourself. Write the measurements on your drawing. Drawings will vary. UNIT G LESSON 2
Customary Units of Length
279
Name
Copyright © Houghton Mifflin Company. All rights reserved.
Customary Units of Length
UNIT G LESSON 2
280
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