student book using addition and subtraction to solve...

STUDENT BOOK

Using Addition and Subtraction to Solve

Problems to 100

This book belongs to:

M a t h N a v i g a t o r ®

Copyright © 2012 Pearson Education, Inc., or its affiliate(s). All Rights Reserved. Printed in the United States of America. This publication is protected by copyright, and permission should be obtained from the publisher prior to any prohibited reproduction, storage in a retrieval system, or transmission in any form or by any means, electronic, mechanical, photocopying, recording, or likewise. The publisher hereby grants permission to reproduce these pages, in part or in whole, for classroom use only, the number not to exceed the number of students in each class. Notice of copyright must appear on all copies. For information regarding permissions, write to Pearson Curriculum Group Rights & Permissions, One Lake Street, Upper Saddle River, New Jersey 07458. America’s Choice, the America’s Choice A logo, Math Navigator, the Pearson logo, and the Pearson Always Learning logo are trademarks, in the U.S. and/or other countries, of Pearson Education, Inc. or its affiliate(s).

ISBN: 978-0-66364-134-5 1 2 3 4 5 6 7 8 9 10 16 15 14 13 12

Math Navigator iii

Contents

a Note to Students . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . v

1 What You Already Know . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1

2 Adding To and Taking Away . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2

3 Putting Together . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5

4 Taking Apart . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7

5 Comparing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11

6 Card Sort: One-Step Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14

7 Checkpoint 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19

8 Introducing Two-Step Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20

9 More Two-Step Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24

10 Practice with Two-Step Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28

11 Two-Step Problems: A Card Sort . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30

12 Completing Your Card Sort . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37

13 Checkpoint 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39

14 Even and Odd Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 40

15 Which One Does Not Belong? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45

16 “Three-By” Arrays . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50

17 Bigger Arrays . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55

18 Writing Math Stories . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 60

19 Finish Writing Math Stories . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 66

20 What You Know . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 68

a Complete Solution to a Math Story . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 69

What to Do if You get Stuck . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71

image Credits . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73

Math Navigator v

A Note to Students

This module can help you:

• Model addition and subtraction using:

– Objects

– Math drawings and diagrams

– Equations

• Know when to add and when to subtract.

• Tell how you know when to add and when to subtract.

• Add and subtract numbers up to 100.

• Solve one- and two-step problems.

• Tell whether numbers up to 20 are even or odd.

• Use repeated addition or skip-counting to solve problems.

Here is what you can do:

• Think creatively and ask questions.

• Talk about your ideas and questions with your classmates.

• Use mathematics vocabulary when you talk or write about math.

• Make connections between what you know and what you are learning.

• If you do not know how to solve a problem, write down what you do know.

• Think about what you are learning from a task, rather than just trying to finish it quickly.

• Think of a mistake as a chance to learn, not something to hide.

• Check your work and think about what caused you to make a mistake.

• Learn how to correct your work.

• Review your Study Cards every day.

• Work together with your classmates so that everyone learns.

Math Navigator 1

What You Already Know 1➲ setting the direction

Today you will take a test to find out what you already know about adding and subtracting.

➲ reflection

One thing I know about adding is …

One thing I know about subtracting is …

2 UsiNg additioN aNd sUbtractioN to solve ProbleMs to 100

2 Adding To and Taking Away

➲ show me

Complete this equation.

7 + 6 =

➲ work time

1. Josh has 14 comic books. Anna gives him 5 comic books. How many comic books does Josh have now?

Make a math drawing to find the answer .

Write your answer as a complete sentence .

Math Navigator 3

2Adding To and Taking Away

2. Malaya has 25 comic books. She gives some to Gabby. Now Malaya has 18 comic books. How many comic books did she give to Gabby?

➲ reflection

Adding is (circle one) because … easy hard




Adding To and Taking Away2

Fill in the sums in the shaded squares below.

+ 0 1 2 3 4 5 6 7 8 9 10

00 + 6

11 + 6

22 + 6

33 + 6

94

4 + 6

55 + 6

66 + 0 6 + 1

76 + 2

86 + 3 6 + 4 6 + 5 6 + 6 6 + 7 6 + 8 6 + 9 6 + 10

77 + 6

88 + 6

99 + 6

1010 + 6

Math Navigator 5

Putting Together 3➲ show me

Complete this equation.

26 – 6 =

➲ work time

1. Mrs. Chi put some fruit in a bowl. There are 24 bananas and 12 apples. How many pieces of fruit are in the bowl?




Putting Together3

2. Anthony has some sports cards. Maria gives him 33 more cards. Now he has 48 cards. How many cards did Anthony have to start with?

➲ reflection

I know I should add when …

Make a math drawing .

Write an equation that you could use to find the answer .


Math Navigator 7

Taking Apart 4➲ show me

Josh has 8 comic books. Anna has 7 comic books. Write an equation to show how many books they have altogether.

➲ setting the direction

exam

ple

Mrs. Chi had 96 pencils in her closet. She gave 32 of them to Mr. Samson. How many pencils did she have left? Show how you know.

Math Drawing: 32 ?

Equation: 96 – 32 = 64

Answer: She had 64 pencils left.

96


Taking Apart4

➲ work time

1. Amir has 42 books on his bookshelves. There are 28 books on the top shelf. The rest are on the bottom shelf. How many books are on the bottom shelf? Show how you know.

2. There are 51 children in the Chess Club.

a . How many girls and how many boys might there be in the club?

Make a math drawing or diagram .

Write an equation .



Write an equation .


Math Navigator 9

4Taking Apart

b . Give at least three more possibilities of what the numbers of girls and boys in the Chess Club might be.

➲ reflection

I know to subtract when …

Write your answers as complete sentences .


Taking Apart4


+ 0 1 2 3 4 5 6 7 8 9 10

0 6

1 7

2 8

3 9

4 10

5 11

6 6 7 8 9 10 11 12 13 14 15 16

7 13

8 14

9 15

10 16

Math Navigator 11

Comparing 5➲ show me

There were 16 children on the playground. Some children went inside. Now there are 9 children on the playground.

Write an equation to find how many children went inside.

➲ work time

1. Maria has two pencils. The red pencil is 7 cm long. The yellow pencil is 13 cm long. How much longer is the yellow pencil? Show how you know.

Write an equation .




Comparing5

2. Yesterday Josh swam 65 laps in the pool. That is 30 laps less than he swam today. How many laps did Josh swim today?

Amir said: “Josh swam 35 laps today.”Amir is wrong.

a . What mistake did Amir make?

b . How could you help Amir correct his mistake? Write an equation .



Math Navigator 13

5Comparing

➲ reflection

Math is (circle one) because … easy for me hard for me


6 Card Sort: One-Step Problems

➲ show me

There are 19 birds in a tree. 8 more birds fly into the tree. Write an equation to find how many birds are in the tree.

➲ work time

1. a . Tear out page 17 and carefully cut out all of the cards.

b . Make four sets of four cards, with each set containing:• An equation card • A tape diagram card• An answer card • A math story card

c . When you think the cards are sorted correctly, check with your partner to make sure.

d . Once you and your partner agree on your card sorts, ask your teacher to check them. Your teacher will tell you when you can glue the cards onto page 15.

➲ reflection

Something new I learned today was …

Math Navigator 15

6Card Sort: One-Step Problems

equation equation equation equation

answer answer answer answer

tape diagram tape diagram tape diagram tape diagram

math story math story math story math story


Card Sort: One-Step Problems6


+ 0 1 2 3 4 5 6 7 8 9 10

0 6 7

1 7 8

2 8 9

3 9 10

4 10 11

5 11 12

6 6 7 8 9 10 11 12 13 14 15 16

7 7 8 9 10 11 12 13 14 15 16 17

8 14 15

9 15 16

10 16 17

Math Navigator 17

74 – 35 = ? 74 = 39 + = 22 + 58 + 22 = 58

80 36 39 35

35 ?74

? 2258

39 ?74

22 58?

Tran has 2 pieces of ribbon.

The blue ribbon is 22 cm

longer than the green ribbon.

The blue ribbon is 58 cm long.

How long is the green ribbon?

39 children are in the cafeteria.

Then some more children

join them.

Now there are 74 children in the

cafeteria.

How many children joined

the others?

The classroom library has 58

fiction books and 22 non-fiction

books.

How many books are in

the classroom library?

Anna and Maria are playing

grocery store.

Maria has $74. She gives Anna

$35 for food.

How much money does

Maria have left?

oNe-steP ProbleMs

Math Navigator 19

Checkpoint 1 7➲ setting the direction

Your teacher will give you a checkpoint quiz. Then you will check your answers and talk about the checkpoint questions as a group.

➲ reflection

One way I like to do math is … (circle one)Hundred

Chart

3 + 1 =�

because …


8 Introducing Two-Step Problems

➲ show me

Amir has 8 action figures and Maria has 15 action figures. Write an equation to find how many fewer figures Amir has than Maria has.

➲ work time

1. Josh gave 32 stickers to Tran and 15 stickers to Amir.

a . How many stickers did Josh give to his friends?

Write a complete solution .

Math Navigator 21

8Introducing Two-Step Problems

b . If Josh started with 90 stickers, how many did he have left?

Estimate: I think he had about stickers left.


Introducing Two-Step Problems8

2. a . Read the math story in the box below. If what you want to know is how many quarters Tamika had at the end of the day, you could write this story without one of the questions. Circle the question you could leave out.

One day, Tamika used 20 of her 32 quarters playing video games. How many quarters did she have left? Later that day, her aunt gave her a jar with 47 quarters in it. Then how many quarters did she have?

b . Solve the problem. Be sure to start with an estimate.

Estimate: I think Tamika had about quarters.

➲ reflection

I am confused about …

Math Navigator 23

8Introducing Two-Step Problems


+ 0 1 2 3 4 5 6 7 8 9 10

0

1

2

3

4

5

6

7

8

9

10


9 More Two-Step Problems

➲ show me

15 apples are on the table. 6 are green and the rest are red. Write an equation to find how many red apples are on the table.

➲ work time

1. There are 16 black cats and 7 striped cats playing in the barn. Some more cats join them. Now there are 36 cats in the barn. How many cats joined them?

a . Make a math drawing for the story.

b . Solve the problem. Remember to start with an estimate .

Math Navigator 25

9More Two-Step Problems

2. Anna cut 8 inches off a 36-inch long shelf. Then she had a short piece and a longer piece. She tried to put the longer piece into her bookshelf, but she found that it was 2 inches too short. How long does the shelf need to be?


b . Solve the problem.

c . Malaya solved the problem this way:

36 + 2 = 38

30 31 32 33 34 35 36 37 38

36 + 2

Malaya is wrong. What mistake did she make?


More Two-Step Problems9

➲ reflection

Today I feel (circle one) about math because …

Math Navigator 27

9More Two-Step Problems


+ 0 1 2 3 4 5 6 7 8 9 10

0 6 7 8

1 7 8 9

2 8 9 10

3 9 10 11

4 10 11 12

5 11 12 13

6 6 7 8 9 10 11 12 13 14 15 16

7 7 8 9 10 11 12 13 14 15 16 17

8 8 9 10 11 12 13 14 15 16 17 18

9 15 16 17

10 16 17 18


10 Practice with Two-Step Problems

➲ show me

There were some bananas on the table. Mr. Hakim put 4 more bananas on the table. Then there were 13 bananas on the table. Write an equation to find how many bananas were on the table before.

➲ work time

1. Anthony had some dimes in his pocket. He put 35 of the dimes into his bank. Then he had 25 dimes in his pocket. How much money did he have in his pocket to start with?


b . Solve the problem. Write your answer as a complete sentence using $ or ¢.


Math Navigator 29

10Practice with Two-Step Problems

2. Mr. Gomez bought 36 bottles of water at the grocery store. Later he bought 24 more bottles at another store.

Mrs. Chi also bought bottles of water that day. She bought 15 fewer bottles than Mr. Gomez bought. How many bottles of water did Mrs. Chi buy?

➲ reflection

Something that is still hard for me is …



11 Two-Step Problems: A Card Sort

➲ show me

Tran has 4 comic books less than Maria has. Tran has 10 comic books. Write an equation to find how many comic books Maria has.

➲ work time

Work with a partner. You will need scissors and tape or glue.

• Tear out page 33 and cut out all of the cards.

• Match each diagram to a math story.

• Match each expression to a math story. These cards tell what expression you would use first to solve the problem.

• When you and your partner think you have matched each card with the correct math story, tape or glue them down.

Do not solve any of the problems or make any estimates yet.

Math Navigator 31

11Two-Step Problems: A Card Sort

1. Gabby used 70 inches of pink ribbon and 25 inches of purple ribbon on her project. Tamika used 42 inches of silver ribbon on her project. How much less ribbon did Tamika use than Gabby used?

math drawing operation

Estimate:

2. Miguel has 70 books to put on his bookshelves. He puts 25 books on the top shelf and 42 books on the bottom shelf. How many books does he have left to put on the middle shelf?


Estimate:


Two-Step Problems: A Card Sort11

3. Last year when she went to the doctor, Anna was 48 inches tall. She has grown 5 inches since then. Now she is 12 inches shorter than her mother. How tall is her mother?


Estimate:

4. Tampa, Florida had 48 inches of rainfall last year. There were 5 inches of rain in July and 12 inches of rain in August. How much rain fell during the rest of the year?


Estimate:

Math Navigator 33

0 42

70 25

?48 + 5

12

5

48 25 + 42

5 12 ?

4870 + 25

25

42

? 5 + 12

diagraMs aNd exPressioNs cards

Math Navigator 35

11Two-Step Problems: A Card Sort

➲ reflection

I am confused about …


Two-Step Problems: A Card Sort11


+ 0 1 2 3 4 5 6 7 8 9 10

0 6 7 8 9

1 7 8 9 10

2 8 9 10 11

3 9 10 11 12

4 10 11 12 13

5 11 12 13 14

6 6 7 8 9 10 11 12 13 14 15 16

7 7 8 9 10 11 12 13 14 15 16 17

8 8 9 10 11 12 13 14 15 16 17 18

9 9 10 11 12 13 14 15 16 17 18 19

10 16 17 18 19

Math Navigator 37

Completing Your Card Sort 12➲ show me

10 of the children at the class picnic went home. Now there are 7 children left at the picnic. Write an equation to find how many children were there to start with.

➲ work time

1. Go back to your card sort on pages 31–32 in Lesson 11.• Read each math story again.• Make an estimate. • Solve each problem. • Be sure to write your answer as a complete sentence.• Compare your answer to your estimate. Does your answer make sense?

➲ reflection

Two-step problems are (circle one) because … easy for me hard for me


Completing Your Card Sort12


+ 0 1 2 3 4 5 6 7 8 9 10

0

1

2

3

4

5

6

7

8

9

10

Math Navigator 39

Checkpoint 2 13➲ setting the direction

Your teacher will give you a checkpoint quiz. Then you will check your answers and talk about the checkpoint questions as a group.

➲ reflection

One thing I have learned about solving two-step problems is …


14 Even and Odd Numbers

➲ show me

8 ducks were swimming in the lake. Some more ducks came to the lake to swim. Then there were 13 ducks swimming in the lake. Write an equation to find how many ducks came to swim.


exam

ple

Make a two-by array with 12 tiles.

Math Drawing Equation

2 + 2 + 2 + 2 + 2 + 2 = 12

Check:2, 4, 6, 8, 10, 12

Math Navigator 41

14Even and Odd Numbers

➲ work time

1. Use some or all of your 20 tiles to make at least three different two-by (2×) arrays.

• Make a math drawing of each array.

• Write an equation for each array.

• Count by 2s to check your equation.



Even and Odd Numbers14

2. a . Choose two of the numbers below.

3 7 11 15 29

• Try to make a 2× array using each number that you choose.

• Make a math drawing to show what happens.

Numbers Math Drawing

b . What happens when you try to make a 2× array with these numbers? Why do you think that happens?

Math Navigator 43

14Even and Odd Numbers

➲ reflection

One way I use even numbers is …


Even and Odd Numbers14


+ 0 1 2 3 4 5 6 7 8 9 10

0 6 7 8 9 10

1 7 8 9 10 11

2 8 9 10 11 12

3 9 10 11 12 13

4 10 11 12 13 14

5 11 12 13 14 15

6 6 7 8 9 10 11 12 13 14 15 16

7 7 8 9 10 11 12 13 14 15 16 17

8 8 9 10 11 12 13 14 15 16 17 18

9 9 10 11 12 13 14 15 16 17 18 19

10 10 11 12 13 14 15 16 17 18 19 20

Math Navigator 45

Which One Does Not Belong? 15➲ show me

Tran has 4 video games and Maria has 12 video games. Write an equation to find how many more video games Maria has than Tran has.


Circle the math drawing that does not belong.

■ ■ ■ ■ ■

■ ■ ■ ■ ■

● ● ● ● ● ● ●

● ● ● ● ● ●

✖ ✖

✖ ✖

✖ ✖

✖ ✖

✖ ✖

✖ ✖

✖ ✖

✖ ✖

Explain why it does not belong.


Which One Does Not Belong?15

➲ work time

1. a . Circle the math drawing that does not belong.

✩ ✩ ✩ ✩✩ ✩ ✩ ✩

❙ ❙

❙ ❙

❙ ❙

❙ ❙

❙ ❙

❙ ❙

❙ ❙

❙ ❙

❙ ❙

❙ ❙

❙ ❙

b . Explain why it does not belong.

2. a . Circle the number that does not belong.

18 23 60 b . Explain why it does not belong.

Math Navigator 47

15Which One Does Not Belong?

3. a . Circle the math drawing that does not belong.

■ ■ ■ ■ ■ ■ ■ ■

■ ■ ■ ■ ■ ■ ■

● ● ●

● ●

● ●

✖ ✖ ✖ ✖ ✖ ✖ ✖ ✖ ✖✖ ✖ ✖ ✖ ✖ ✖ ✖ ✖ ✖

b . Explain why it does not belong.

4. a . Circle the number that does not belong.

4 9 7 b . Explain why it does not belong.


Which One Does Not Belong?15

5. Make up your own “does not belong” problem.

➲ reflection

Something I see in the world that is in a two-by array is …

Math Navigator 49

15Which One Does Not Belong?


+ 0 1 2 3 4 5 6 7 8 9 10

0 5 6 7 8 9 10

1 6 7 8 9 10 11

2 7 8 9 10 11 12

3 8 9 10 11 12 13

4 9 10 11 12 13 14

5 5 6 7 8 9 10 11 12 13 14 15

6 6 7 8 9 10 11 12 13 14 15 16

7 7 8 9 10 11 12 13 14 15 16 17

8 8 9 10 11 12 13 14 15 16 17 18

9 9 10 11 12 13 14 15 16 17 18 19

10 10 11 12 13 14 15 16 17 18 19 20


16 “Three-By” Arrays

➲ show me

Josh has 3 more stuffed animals than Gabby has. Josh has 20 stuffed animals. Write an equation to find how many Gabby has.


exam

ple


3 = 3Check:3


3 + 3 = 6Check:3, 6


3 + 3 + 3 = 9Check:3, 6, 9

Math Navigator 51

16“Three-By” Arrays

➲ work time

1. Use some or all of your 30 tiles to make at least three different three-by (3×) arrays.


• Write an equation for each array.





2. a . Your teacher will give you a pile of tiles.• Use your tiles to make a 2× array. You might end up with an

extra tile.• Make a math drawing of your array.• Write the number of extras in the box.• Count by 2s to find out how many tiles you have.

Remember to count the extras. Write the number in the box.

My 2× Array My ExtrasNumber of Tiles

b . Put your tiles back into a pile.• Use your tiles to make a 3× array. You might end up with extras.• Make a math drawing of your array.• Write the number of extras in the box.• Count by 3s to find out how many tiles you have.

Remember to count the extras. Write the number in the box.

My 3× Array My ExtrasNumber of Tiles

Math Navigator 53

16“Three-By” Arrays

3. Look at problem 2. Did you end up with the same number of tiles in the arrays for problems 2a and 2b? Explain why or why not.

➲ reflection

One way I can use skip-counting is …




+ 0 1 2 3 4 5 6 7 8 9 10

0 4 5 6 7 8 9 10

1 5 6 7 8 9 10 11

2 6 7 8 9 10 11 12

3 7 8 9 10 11 12 13

4 4 5 6 7 8 9 10 11 12 13 14

5 5 6 7 8 9 10 11 12 13 14 15

6 6 7 8 9 10 11 12 13 14 15 16

7 7 8 9 10 11 12 13 14 15 16 17

8 8 9 10 11 12 13 14 15 16 17 18

9 9 10 11 12 13 14 15 16 17 18 19

10 10 11 12 13 14 15 16 17 18 19 20

Math Navigator 55

Bigger Arrays 17➲ show me

Chen has 2 model cars less than Maria has. Maria has 7 model cars. Write an equation to find how many model cars Chen has.


exam

ple

Make a five-by array with 10 tiles.


5 + 5 = 10Check:5, 10


Bigger Arrays17

➲ work time

1. Use your tiles to make at least three different five-by (5×) arrays.


• Use an equation to show how many tiles there are in each array.



Math Navigator 57

17Bigger Arrays

2. a . 4 boys in Mrs. Chi’s class know all of their addition facts. She gave each of these boys 5 stickers. How many stickers did she give them in all?

Draw an array to match this math story.

b . Solve the problem.


Bigger Arrays17

3. Miguel and Tamika both drew this array for problem 2.

● ● ● ● ●● ● ● ● ●● ● ● ● ●● ● ● ● ●

Tamika wrote this equation: 4 + 4 + 4 + 4 + 4 = 20Miguel wrote this equation: 5 + 5 + 5 + 5 = 20Anna said that Tamika’s equation matches the array but not the math story. She is right. Explain why.

➲ reflection

Five even numbers:

Five odd numbers:

Math Navigator 59

17Bigger Arrays


+ 0 1 2 3 4 5 6 7 8 9 10

0 3 4 5 6 7 8 9 10

1 4 5 6 7 8 9 10 11

2 5 6 7 8 9 10 11 12

3 3 4 5 6 7 8 9 10 11 12 13

4 4 5 6 7 8 9 10 11 12 13 14

5 5 6 7 8 9 10 11 12 13 14 15

6 6 7 8 9 10 11 12 13 14 15 16

7 7 8 9 10 11 12 13 14 15 16 17

8 8 9 10 11 12 13 14 15 16 17 18

9 9 10 11 12 13 14 15 16 17 18 19

10 10 11 12 13 14 15 16 17 18 19 20


18 Writing Math Stories

➲ show me

Write at least three addition or subtraction equations that contain the numbers 1 and 7.


exam

ple Write three math stories.

• Each math story should include at least two of the given amounts.• Write an equation that matches your story.• Write your answer as a complete sentence.

Gabby wrote:

Amounts Math Story

52 glasses of lemonade

31 glasses of apple juice

83 drinks

Anthony poured 52 glasses of lemonade and 31 glasses of apple juice for the class picnic. How many drinks did he pour?Equation: 52 + 31 = 83 Answer: Anthony poured 83 drinks.

Math Navigator 61

18Writing Math Stories

exam

ple

Amounts Math Story



83 drinks

The Chess Club drank 83 drinks at their last meeting. They drank 31 glasses of apple juice. The rest of the drinks were lemonade. How many glasses of lemonade did they drink?Equation: 83 – 31 = 52 Answer: They drank 52 glasses of lemonade.



83 drinks

Some children drank 52 glasses of lemonade and 31 glasses of apple juice. How many fewer glasses of apple juice did they drink than glasses of lemonade?Equation: 52 – 31 = 21 Answer: They drank 21 fewer glasses of apple juice.


Writing Math Stories18

➲ work time

1. Write three math stories. • Each math story should include at least two of the given amounts.• Write an equation that matches your story.• Write your answer as a complete sentence.

Amounts Math Story

13 boys

19 girls

32 childrenEquation:

Answer:

Math Navigator 63


Amounts Math Story

13 boys

19 girls

32 children Equation:

Answer:

13 boys

19 girls

32 childrenEquation:

Answer:


Writing Math Stories18

➲ reflection

Writing math stories is (circle one) because … easy for me hard for me

Math Navigator 65


Fill in as much of the addition table as you can. You will have a chance to finish the table in the next lesson.

+ 0 1 2 3 4 5 6 7 8 9 10

0

1

2

3

4

5

6

7

8

9

10


19 Finish Writing Math Stories

➲ show me

Write at least three addition or subtraction equations that contain the number 0.

➲ work time

1. a . Go back to Lesson 18 and work on any math stories that you did not finish yesterday. Write more math stories until you have three stories with equations and answers.

b . When you have finished all three stories, check with your partner to make sure your stories make sense and that your equations and answers match the stories.

c . Listen to your partner’s stories. Make sure your partner’s stories make sense and match the equations and the answers, too.

2. If you finish before the rest of the class, write another addition or subtraction math story using any amounts you choose. Be ready to share your math story.

Math Navigator 67

19Finish Writing Math Stories

Amounts Math Story

Equation:

Answer:

➲ reflection

Something else I would like to know about math is …

Complete the addition table at the end of Lesson 18 (page 65).


20 What You Know


Today you will take a test to find out what you have learned about adding and subtracting.

➲ reflection

The most important thing I learned in this module is …

Math Navigator 69

A Complete Solution to a Math Story

Show your thinking .

Math drawing or diagram

1 + 2 = 3 Equation

Answer the question .

There are 3 apples.

✓

✓

Math Navigator 71

What to Do If You Get Stuck

Look at posted charts .

Use counters or other materials .


Use easier numbers .

Ask a friend .

Write what you do know .

Think of questions to ask later .

Math Navigator 73

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