September 7, 2017 | Author: rahul_kasba | Category: National Council Of Teachers Of Mathematics, Subtraction, Physics & Mathematics, Mathematics, Science

Math...

#### Description

Copyright 2007-2011 Taina Maria Miller. EDITION 1.8 All rights reserved. No part of this book may be reproduced or transmitted in any form or by any means, electronic or mechanical, or by any information storage and retrieval system, without permission in writing from the author. Copying permission: Permission IS granted for the teacher to reproduce this material to be used with students, not commercial resale, by virtue of the purchase of this book. In other words, the teacher MAY make copies of the pages to be used with students. Permission is given to make electronic copies of the material for back-up purposes only.

2

Contents Foreword .............................................................................. 5

Chapter 0: Kindergarten Math Review Introduction ..........................................................................

6

Equal Amounts; Same and Different .................................

7

Writing Numbers .................................................................

8

Counting ...............................................................................

10

Position Words, Colors, and Shapes ..................................

12

Patterns ................................................................................

14

Chapter 1: Addition Within 0-10 Introduction ............................................................................

15

Two Groups and a Total .......................................................

19

Learn Symbols “ + ” and “ = ” .............................................

22

25

Which is More? .....................................................................

27

Missing Items .........................................................................

29

Sums with 5 ............................................................................

34

Sums with 6 ............................................................................

36

Adding on a Number Line ....................................................

38

Sums with 7 ............................................................................

42

Sums with 8 ............................................................................

45

48

Sums with 9 ............................................................................

51

Sums with 10 ..........................................................................

55

Comparisons ..........................................................................

59

62

3

Chapter 2: Subtraction Within 0-10 Introduction .............................................................................

66

Subtraction is “Taking Away” ..............................................

69

Count Down to Subtract ........................................................

72

Subtraction and Addition in the Same Picture ....................

76

When Can You Subtract? .....................................................

80

Two Subtractions from one Addition .................................

84

Two Parts — One Total ........................................................

87

Fact Families ...........................................................................

90

How Many More? ..................................................................

94

“How Many More” Problems and Difference ...................

97

“How Many More” Problems and Subtraction .................

101

Review ....................................................................................... 104

Chapter 3: Addition and Subtraction Facts Introduction ...........................................................................

105

Addition and Subtraction Facts with 4 and 5 ...................

107

Addition and Subtraction Facts with 6 ..............................

109

Addition and Subtraction Facts with 7 ..............................

112

Addition and Subtraction Facts with 8 ..............................

114

Addition and Subtraction Facts with 9 ..............................

118

Addition and Subtraction Facts with 10 ............................

121

Adding and Subtracting Many Numbers ...........................

125

Review — Facts with 6, 7, and 8 ............................................ 129 Review — Facts with 9 and 10 ............................................... 131

4

5

Chapter 0: Kindergarten Math Review Introduction This chapter is optional, and can be used to review the most important concepts of kindergarten math: 

writing the numerals 0 to 9;

counting up to 20;

position words, color words, and some shapes (circle, triangle, square)

simple patterns

The Lessons in Chapter 0 page

span

Equal Amounts; Same and Different ..........

7

1 page

Writing Numbers ........................................

8

2 pages

Counting .....................................................

10

2 pages

Position Words, Colors, and Shapes ........

12

2 pages

Patterns .......................................................

14

1 page

6

Equal Amounts; Same and Different 1. Write an X for each thing in the other box.

a.

d.

b.

c.

e.

f.

2. Color the shapes that are the same as the first shape.

7

Writing Numbers 1. Write the number.

2. Count and write the number. a.

b.

c.

d.

e.

f.

8

3. Write the number.

4. Count and write the number.

a.

b.

c.

d.

e.

f.

9

Counting 1. Count. Write the number in the box.

a.

b.

c.

d.

e.

f.

g.

h.

2. Count. Write the number. Then circle the number that is MORE.

a.

b.

c.

d.

10

3. Write the missing number below the number line.

a.

b.

c.

4. Circle the group that has more things. Then count ALL (both groups). Write the number in the box below.

a.

d.

b.

c.

e.

f.

11

Position Words, Colors, and Shapes 1. a. Color

RED the top shape.

b. Color

BLUE the bottom shape.

2. a. Color

GREEN the shape on the right.

b. Color

BLUE the shape in the middle.

c. Color

YELLOW the shape on the left.

d. Color

ORANGE two shapes on the right.

e. Color

PURPLE two shapes on the left.

12

c. Color

YELLOW the middle shape.

3. a. Color

GREY two bottom shapes.

b. Color

BROWN two middle shapes.

4. a. Color

GREEN all the circles.

b. Color

ORANGE all the triangles.

c. Color

PURPLE all the squares.

13

c. Color

BLACK two top shapes.

Patterns 1. Continue the pattern for one more shape.

a.

b.

c.

d.

e.

f.

g.

2. Continue counting up or down.

1 2 3 4 5 ____ ____ ____ ____ ____ ____ 10 9 8 7 6 ____ ____ ____ ____ ____ ____ 14

Some Went Hiding You need: As many small objects as is the sum you're studying. For example, to study the sums with 5, you need 5 marbles, or 5 blocks, etc. Rules: The first player shows the objects, and quickly hides SOME behind his/her back without showing how many. Then he/she shows the remaining objects to the next player, who has to tell how many went hiding. If the player gives the right answer, it is then his/her turn to hide some and ask the next player to answer. If he gives the wrong answer, he misses his turn. This game appeals best to young children. Adaptations: * Instead of getting a turn, the player may gain points or other rewards for the right answer.

Addition Battle You need: A standard deck of playing cards from which you remove the picture cards, and perhaps also some of the other higher number cards such as tens, nines, and eights. Alternatively, a set of dominoes works well for children who don't yet know their numbers beyond 12. Rules: In each round, each player is dealt two cards face up, and has to calculate the sum. The player with the highest sum gets all the cards from the other players. After enough rounds so that all of the cards are used, the player with the most cards wins. If there is a tie, such as two players have the sum of 11, those players get an additional two cards and “battle” with those to resolve the tie. Adaptations: * This game is easily adapted for subtraction, multiplication, and fractions. You can also use dominoes instead of two playing cards. Any board game where you move the piece by rolling two dice also works to practice addition. 16

The Lessons in Chapter 1 page

span

Two Groups and a Total .................................

19

3 pages

Learn Symbols “ + ” and “ = ” ........................

22

3 pages

2 pages

Which is More? ..............................................

27

2 pages

Missing Items .................................................

29

5 pages

Sums with 5 ...................................................

35

2 pages

Sums with 6 ...................................................

36

2 pages

38

4 pages

Sums with 7 ...................................................

42

3 pages

Sums with 8 ...................................................

45

3 pages

48

3 pages

Sums with 9 ...................................................

51

4 pages

Sums with 10 .................................................

55

4 pages

Comparisons .................................................

59

3 pages

62

3 pages

Helpful Resources on the Internet Use these free online resources to supplement the “bookwork” as you see fit. Addition Exercise from Dositey.com Write how many worms are on two leaves, and how many together. http://www.dositey.com/addsub/addex1.htm Children's Addition Quiz A set of five interactive addition problems that you answer online. http://www.thegreatmartinicompany.com/Math-Quick-Quiz/addition-kid-quiz.html Number Bond Machines Practice which two numbers add up to a given number. http://www.amblesideprimary.com/ambleweb/mentalmaths/numberbond.html Save the Whale Find how much the given “pipe” length is missing from 10 and save the whale. http://www.ictgames.com/save_the_whale_v4.html

17

Exuberant Eye Games Practice your basic facts with these kid-appealing simple games. http://www.games.exuberanteye.com/ Children' Compare Numbers from Mr. Martini's Classroom Compare two numbers. Press the number below to choose the biggest number that will appear. http://www.thegreatmartinicompany.com/Children-Math/compare-number.html Addition and Subtraction Game from The Little Animals Activity Centre Solve simple addition and subtraction problems by clicking on the ladybug with the right answer. http://www.bbc.co.uk/schools/laac/numbers/chi.shtml Number Line Arithmetic Use this virtual manipulative to illustrate addition on a number line http://nlvm.usu.edu/en/nav/frames_asid_156_g_1_t_1.html Line Jumper Addition questions on a number line. http://www.funbrain.com/funbrain/linejump/index.html Sum Stacker Drag dies from stack to stack until the sums of each stack equal the sums given. http://www.carstensstudios.com/mathdoodles/sumsstacker.html Fun 4 the Brain Practice basic addition with these games. http://www.fun4thebrain.com/addition.html

18

Two Groups and a Total 1. Make two groups. a.

4

1 and 3 d.

5

3 and 2

b.

4

2 and 2

5

e.

2 and 3

c.

4

3 and 1 f.

5

1 and 4

2. Make two groups. Write how many are in the second group. a.

4

1 and _____ d.

5

4 and _____ g.

5

1 and _____

b.

4

2 and _____ e.

5

3 and _____ h.

5

5 and _____

19

c.

4

3 and _____ f.

5

2 and _____ i.

5

0 and _____

3. Draw as many dots as the number shows. Then make two groups however you like. Write how many are in each group. a.

3

_____ and _____ d.

2

_____ and _____

b.

5

_____ and _____ e.

6

_____ and _____

c.

4

_____ and _____ f.

8

_____ and _____

4. The number at the top is the total. Draw the missing dots on the empty die face. Write on the lines how many dots are on each die face. a.

3

_____ and _____ d.

4

_____ and _____

b.

6

_____ and _____ e.

6

_____ and _____

20

c.

5

_____ and _____ f.

5

_____ and _____

2 and 2

4

1 and 4

“Two and two makes four.”

5

“One and four makes five.”

5. Write how many are in each group. Write the total in the box. a.

c.

b.

____ and ____

____ and ____

____ and ____ e.

d.

____ and ____ g.

f.

____ and ____

____ and ____

h.

____ and ____

i.

____ and ____

____ and ____

6. Draw circles for each number. Write the total in the box.

a.

2 and 2

b.

3 and 1

c.

3 and 3

d.

1 and 4

21

Learn Symbols + and =

3

+

2

=

5

1

THREE plus TWO equals FIVE

+

3

=

ONE plus THREE equals FOUR

a.

1

b.

+

3

=

______

c.

+

______

=

d.

______

+

______

=

______

+

______

=

f.

e.

______

+

______

=

______

g.

+

______

=

h.

______

+

______

=

______

i.

______

+

______

=

j.

+

______

4

=

______

22

+

______

=

b.

______

+

______

=

c.

______

+

______

______

=

d.

+

______

=

+

______

______

=

2

b.

+ 0 = _____

_____ + _____ = _____

c.

d.

_____ + _____ = _____

_____ + _____ = _____

e.

f.

_____ + _____ = _____

_____ + _____ = _____

g.

h.

_____ + _____ = _____

_____ + _____ = _____

23

4. Write how many dots. Then add.

a.

b.

_____ + _____ = _____

_____ + _____ = _____

c.

d.

_____ + _____ = _____

_____ + _____ = _____

e.

f.

_____ + _____ = _____

_____ + _____ = _____

g.

h.

_____ + _____ = _____

_____ + _____ = _____

i.

j.

_____ + _____ = _____

_____ + _____ = _____

24

Addition Practice 1 1. In the second box, draw more to show the second number. Then add.

a.

b.

c.

2 + 1 = ______

3 + 2 = ______

1 + 2 = ______

d.

e.

f.

4 + 1 = ______

2 + 3 = ______

0 + 4 = ______

g.

h.

i.

2 + 2 = ______

1 + 0 = ______

3 + 1 = ______

2. Draw dots in each box for the numbers. Then add.

a.

2 + 2 = ______

d.

4 + 1 = ______

b.

c.

1 + 3 = ______

e.

0 + 5 = ______

f.

2 + 3 = ______

25

1 + 3 = ______

a.

1 + 2 = ______

b.

3 + 0 = ______

c.

2 + 2 = ______

d.

2 + 3 = ______

e.

1 + 4 = ______

f.

0 + 5 = ______

g.

3 + 2 = ______

h.

2 + 1 = ______

i.

4 + 1 = ______

c.

3 + 1 = ______

4. Add both ways! You can draw marbles to help.

aa.

2 + 3 = 5

b.

3 + 2 = 5

d.

1 + 4 = ______

4 + 1 = ______

1 + 2 = ______

2 + 1 = ______

e.

0 + 2 = ______

2 + 0 = ______

26

1 + 3 = ______

f.

5 + 0 = ______

0 + 5 = ______

Which is More? The symbols < and > are like a “hungry alligator's mouth”. The mouth always opens towards the bigger number.

1 < 4

5 > 3

One is less than four.

Five is greater than three.

< means “LESS THAN”.

> means “GREATER THAN”.

1. Practice writing < and > .

2. Circle the bigger number. Read using “less than” and “greater than”.

a.

1 < 3

b. 2

“1 is less than 3.”

d. 6

< 5

c. 5

“2 is less than 5.”

> 2

e. 4

> 3

“5 is greater than 3.”

> 1

f. 2

< 4

3. Circle the bigger number. Read using “less than” and “greater than”. a.

6 > 0

b.

3 < 4

c.

4 < 5

d.

4 > 3

e.

1 < 2

f.

2 > 1

g.

3 < 5

h.

0 < 4

27

4. Write < or > in the box.

a.

1

4

b.

2

5

c.

6

3

d.

3

4

e.

5

1

f.

2

3

5. Write < or > between the numbers. You can draw circles to help you.

a.

1

4

b.

4

3

c.

2

5

d.

0

4

6. Write < or > between the two numbers. a.

1

4

b.

4

5

c.

2

4

d.

5

3

e.

1

2

f.

3

1

g.

5

4

h.

4

6

i.

3

5

j.

1

0

k.

2

5

l.

0

2

28

Missing Items 5

Something is missing from the addition. The TOTAL is not missing. The total is 5.

+

How many are in the second group? That's what is missing! There should be a total of 5 dots. Draw 4 in the second die face.

1 + ______ 4

There should be a total of 4 dots. The second die face has two. There are none in the first die face, so you need to draw them. Read: “2 plus what number makes 4?” or, “2 and how many more makes 4?” or, “What number and 2 makes 4?”

+ ______ + 2

1. Draw more dots for the addition. Write the missing number. The total is on top.

a.

d.

g.

1

3

5

3

3

5

+

+

+

+ _____

2

b.

+ _____

c.

_____ + 4

5

5

4

+

+

+

+ _____

e.

_____ + 2

f.

_____ + 3

5

4

4

+

+

+

+ _____

h.

_____ + 1 29

i.

_____ + 2

+

+

3 + _____ = 5

_____ +

The TOTAL is now written after the equal sign “ = ”. The answer is 3 + 2 = 5

3 = 4

See the TOTAL written after the equal sign “ = ”. The answer is 1 + 3 = 4

2. Draw more dots to show the missing number. Write the missing number.

+

a.

b.

2 + _____ = 4

+

d.

3 + _____ = 5

+

g.

5 + _____ = 5

j.

1

+

c.

1 + _____ = 1

e.

+

_____ + 1 = 5

f.

_____ + 1 = 4

h.

+

k.

+

+ _____ = 5

_____ + 2 = 2

30

+ 2 + _____ = 3

i.

_____ + 1 = 3

+

+

+ 2 + _____ = 5

l.

+ 3 + _____ = 4

3. Draw more dots in the empty box for the missing number. Read the problems aloud: “2 plus how many makes 4?”

+

a.

2 + ______ = 4

4 + ______ = 4

b.

+

d.

2 + ______ = 5

+

+

c.

______ + 3 = 4 +

+

e.

______ + 1 = 3

f.

______ + 4 = 5

There are no dots in either die face. The first die face is missing the dots. The second die face is supposed to have none, since there is a zero below it. Draw 4 dots in the first die face, because 4 + 0 = 4 .

+ ______ + 0 = 4

4. Draw dots in the boxes for the missing numbers. Notice that some groups are supposed to have zero dots.

a.

0 + ______ = 4

b.

+

d.

3 + ______ = 3

+

+

+

2 + ______ = 2

c.

+

+

e.

______ + 0 = 3

______ + 0 = 2

31

f.

0 + ______ = 1

5. Draw dots to illustrate each addition problem. Find what number is missing.

+

a.

4 + ______ = 5

+

b.

+

d.

3 + ______ = 4

1 + ______ = 5

1 + ______ = 2

c.

+

e.

+

g.

+

+

2 + ______ = 3

f.

+

h.

______ + 3 = 5

______ + 2 = 4 +

______ + 1 = 4

i.

3 + ______ = 3

6. Solve. You can draw dots to help you. Remember, the number after the “ = ” sign is the total.

a.

2 + ______ = 5

b.

______ + 2 = 4

c.

______ + 1 = 3

d.

______ + 3 = 3

e.

3 + ______ = 5

f.

0 + ______ = 2

g.

3 + ______ = 4

h.

______ + 2 = 4

i.

______ + 1 = 5

32

a.

1 + 1 = ______

b.

2 + 1 = ______

d.

2 + 3 = ______ 1 + 4 = ______

4 + 0 = ______

c.

3 + 1 = ______

e.

0 + 5 = ______ 1 + 2 = ______

1 + 4 = ______ 2 + 2 = ______

f.

3 + 2 = ______ 4 + 1 = ______

8. Find the missing number. The marbles illustrate the total. Notice the patterns! a.

b.

c.

0 + ______ = 3

0 + ______ = 4

0 + ______ = 5

1 + ______ = 3

1 + ______ = 4

1 + ______ = 5

2 + ______ = 3

2 + ______ = 4

2 + ______ = 5

3 + ______ = 3

3 + ______ = 4

3 + ______ = 5

4 + ______ = 4

4 + ______ = 5 5 + ______ = 5

33

Sums with 5

|

1. Five elephants are grouped into two groups, in different ways. The “ ” symbol separates the two groups. Write the addition sentences.

|

|

______ + ______ = ______

______ + ______ = ______

|

|

______ + ______ = ______

______ + ______ = ______

|

|

______ + ______ = ______

______ + ______ = ______

a.

4 + 1 = ______

b. 2

+ 3 = ______

c.

1 + 1 = ______

2 + 2 = ______

1 + 3 = ______

0 + 5 = ______

3 + 2 = ______

1 + 4 = ______

1 + 4 = ______

1 + 2 = ______

2 + 1 = ______

3 + 2 = ______

3. Play “5 Out” and/or “Some Went Hiding” with 5 objects (see the introduction).

34

1+

=5

4+

=5

+2=5

+3=5

2+

=5

3+

=5

+0=5

+1=5

0+

=5

5+

=5

+4=5

+5=5

5. Draw more and compare the problems in each group.

a.

4 + 0 = ______

b. 6

+ 0 = ______

c. 3

+ 0 = ______

4 + 1 = ______

6 + 1 = ______

3 + 1 = ______

4 + 2 = ______

6 + 2 = ______

3 + 2 = ______

d. 7

+ 0 = ______

e. 5

+ 0 = ______

f. 8

+ 0 = ______

7 + 1 = ______

5 + 1 = ______

8 + 1 = ______

7 + 2 = ______

5 + 2 = ______

8 + 2 = ______

6. Draw more things to illustrate the missing number. Write the addition sentence. a.

b.

c.

______ + ______ = 3

______ + ______ = 4

d.

e.

f.

______ + ______ = 5

______ + ______ = 6

______ + ______ = 6

2

+ ______ = 5

35

Sums with 6 1. Six hippos are grouped into two groups, in different ways. Write the addition sentences.

|

|

______ + ______ = ______

______ + ______ = ______

|

|

______ + ______ = ______

______ + ______ = ______

|

|

______ + ______ = ______

______ + ______ = ______

| ______ + ______ = ______ 2. Play “6 Out” and/or “Some Went Hiding” with 6 objects (see the introduction). 3. Drill. Don't write the answers but just think them in your head.

1+

=6

4+

=6

+2=6

+3=6

2+

=6

3+

=6

+0=6

+1=6

6+

=6

5+

=6

+4=6

+5=6

4. Add the numbers and write the total on the line.

a.

1 + 5 = ______

b.

2 + 3 = ______

36

c.

4 + 2 = ______

5. Draw more boxes to illustrate the missing number and write it on the line. b.

a.

2 + ______ = 5

2 + ______ = 6 d.

c.

f.

e.

3 + ______ = 6 g.

5 + ______ = 6

1 + ______ = 6 i.

h.

1 + ______ = 5

4 + ______ = 6

0 + ______ = 6

3 + ______ = 5

6. Jack and Jill share 5 cucumbers and 6 lemons in different ways. Find how many Jill gets. For the number shown, you can cover the cucumbers or lemons with your hand to see how many Jill gets. a.

5

b.

6

2 + 3 = ______ Jack gets:

Left for Jill:

Jack gets:

Left for Jill:

4 + 1 = ______

2

1

3 + 3 = ______

1

4

4 + 2 = ______

5

5

1 + 3 = ______

3

0

1 + 5 = ______

0

2

2 + 2 = ______

4

3

2 + 4 = ______ 37

Adding on a Number Line 5 + 3 = 8

First jump 5...

Then jump 3 more.

You land on 8.

1. Draw the jumps to illustrate the addition and find the answer. You can use a different color for each number when you draw the jumps.

a.

5 + 2 = ______

b.

4 + 1 = ______

c.

6 + 3 = ______

d.

9 + 1 = ______

e.

7 + 3 = ______

f.

4 + 3 = ______

38

OR....

5+3=8

First draw an arrow that is 5 long. Then draw an arrow that is 3 long.

a.

______ + ______ = ______

b.

______ + ______ = ______

c.

______ + ______ = ______

d.

______ + ______ = ______

e.

______ + ______ = ______

f.

______ + ______ = ______

g.

______ + ______ = ______ 39

3. Draw arrows (or jumps) to show the addition.

a.

7 + 2 = ______

b.

2 + 3 = ______

c.

5 + 4 = ______

d.

7 + 1 = ______

e.

6 + 4 = ______

f.

4 + 2 = ______

g.

9 + 1 = ______

h.

1 + 5 = ______

40

4. Write the addition sentence for each picture. If the child is not familiar with numbers greater than 10, you can skip these.

a.

______ + ______ = ______

b.

______ + ______ = ______

c.

______ + ______ = ______

5. Add “1”, add “2” to the number. Use the number line to help.

a.

b.

c.

d.

7 + 1 = ______

5 + 1 = ______

6 + 1 = ______

8 + 1 = ______

7 + 2 = ______

5 + 2 = ______

6 + 2 = ______

8 + 2 = ______

e.

f.

g.

h.

10 + 1 = ______

12 + 1 = ______

13 + 1 = ______

11 + 1 = ______

10 + 2 = ______

12 + 2 = ______

13 + 2 = ______

11 + 2 = ______

41

Sums with 7 1. Seven marbles are grouped into two groups, in different ways. Write the addition sentences.

|

|

______ + ______ = ______

______ + ______ = ______

|

|

______ + ______ = ______

______ + ______ = ______

|

|

______ + ______ = ______

______ + ______ = ______

|

|

______ + ______ = ______

______ + ______ = ______

5+

=7

2+

=7

6+

=7

+3=7

+7=7

3+

=7

1+

=7

0+

=7

+2=7

+1=7

7+

=7

4+

=7

4+

=7

+6=7

+5=7

b.

c.

d.

3 + 3 =______

5 + 2 = ______

6 + 1 = ______

2 + 5 = ______

3 + 4 = ______

4 + 2 = ______

4 + 3 = ______

4 + 2 = ______

42

4. Play “7 Out” and/or “Some Went Hiding” with 7 objects (see the introduction). 5. Fill in the missing numbers. You may draw dots to help. Notice the patterns! a.

b.

c.

0 + ______ = 7

0 + ______ = 6

0 + ______ = 5

1 + ______ = 7

1 + ______ = 6

1 + ______ = 5

2 + ______ = 7

2 + ______ = 6

2 + ______ = 5

3 + ______ = 7

3 + ______ = 6

3 + ______ = 5

6. This is a new way to write addition! The answer goes under the line. a.

4 + 3

b.

1 + 5

c.

5 + 0

d.

4 + 1

e.

4 + 0

7 f.

2 + 5

g.

0 + 3

h.

1 + 3

i.

3 + 3

j.

2 + 2

k.

4 + 2

l.

2 + 0

m.

1 + 6

n.

3 + 4

o.

2 + 4

43

7. Solve the word problems. Draw pictures to help you! Think: Are you asked the TOTAL? Or do you already know the total? a. Lisa has three goldfish and Lauren

b. Paul has seven T-shirts. Two of

has six. How many goldfish do they have together?

them are red. How many are not red?

c. A fish bowl has four fish swimming

d. Paul has nine toy cars. Six of them

in it. Lisa added four more. How many fish are now in it?

are in the living room. The rest of them Paul cannot find. How many cars are missing?

e. Jill wants to have hats for all

f. Brenda ate two cookies, and later she

seven of her dolls. She has found three hats so far. How many does she still need?

ate four more. How many cookies did she eat in all?

+ What numbers can go into these puzzles?

= 6

+

+ +

+ +

= 5

= 5

= 6

44

= 7 +

+ = 7

= 6 = 6

Sums with 8 1. Eight marbles are grouped into two groups, in different ways. Write the additions.

|

|

______ + ______ = ______

______ + ______ = ______

|

|

______ + ______ = ______

______ + ______ = ______

|

|

______ + ______ = ______

______ + ______ = ______

|

|

______ + ______ = ______

______ + ______ = ______

| ______ + ______ = ______ 2. Drill. Don't write the answers here. Just think them in your head.

+5=8

+4=8

2+

=8

3+

=8

8+

=8

+0=8

+6=8

5+

=8

7+

=8

6+

=8

+2=8

+3=8

1+

=8

4+

=8

3. Play “8 Out” and/or “Some Went Hiding” with 8 objects (see the introduction).

45

+ 1=8

4. Fill in the missing numbers. You may draw dots to help. Notice the patterns! a.

b.

c.

1 + ______ = 8

1 + ______ = 7

1 + ______ = 6

2 + ______ = 8

2 + ______ = 7

2 + ______ = 6

3 + ______ = 8

3 + ______ = 7

3 + ______ = 6

4 + ______ = 8

4 + ______ = 7

4 + ______ = 6

5. Draw more marbles. Write the additions.

a. ______

+ ______ = 6

b. ______

+ ______ = 5

c. ______

+ ______ = 6

d. ______

+ ______ = 8

e. ______

+ ______ = 7

f. ______

+ ______ = 4

g. ______

+ ______ = 8

h. ______

+ ______ = 8

46

6. Find the missing numbers. a.

b.

c.

d.

3 + 4 =______

6 + 2 = ______

6 + 1 = ______

2 + 5 = ______

4 + 4 = ______

5 + 2 = ______

1 + 7 = ______

2 + 6 = ______

e.

f.

g.

h.

5 + ______ = 7

4 + ______ = 8

3 + ______ = 7

2 + ______ = 8

5 + ______ = 8

4 + ______ = 7

3 + ______ = 8

2 + ______ = 7

4 + 2

b.

6 + 2

c.

3 + 3

d.

7 + 1

e.

5 + 2

f.

1 + 2

g.

6 + 1

h.

4 + 3

i.

5 + 1

j.

3 + 2

8. Which number is greater? Or are they equal? Write < or > or = . (Write one of the alligator mouths or the equal sign). a.

7

e.

8

i.

4

=

7

b.

7

8

c.

6

4

4

f.

2

2

g.

0

0

4

j.

1

5

k.

6

8

47

10

10

h.

8

7

l.

2

0

d.

Addition Practice 2 1. Draw the number of triangles asked for. Write an addition sentence. a. Draw 3 more

b. Draw 2 more

_______ + _______ = _______

_______ + _______ = _______ d. Draw 3 more

c. Draw 5 more

_______ + _______ = _______

_______ + _______ = _______

e. Draw 3 more

f. Draw 4 more

_______ + _______ = _______

_______ + _______ = _______

2. Double means two times the same thing! Draw dots or sticks. Write the total in the box.

II

II

a. Double 2

b. Double 3

c. Double 4

d. Double 5

e. Double 6

f. Double 1

48

b.

c.

4 + 4 = ______

4 + 3 = ______

2 + 4 = ______

6 + 1 = ______

5 + 2 = ______

5 + 1 = ______

6 + 2 = ______

3 + 2 = ______

1 + 6 = ______

a.

4 + 2 = ______

b.

6 + 1 = ______

c.

7 + 3 = ______

d.

3 + 6 = ______

e.

2 + 5 = ______

f.

1 + 8 = ______

49

5. You can add either way! Which way is easier? a.

b.

c.

d.

7 + 2 = ______

2 + 5 = ______

6 + 2 = ______

1 + 4 = ______

2 + 7 = ______

5 + 2 = ______

2 + 6 = ______

4 + 1 = ______

6. Let's make charts! In the first chart, add one each time. Then, add two each time. Then, add three each time. a.

b.

c.

2 + 2 = ______

2 + 3 = ______

6 + 1 = ______

3 + 2 = ______

3 + 3 = ______

7 + 1 = ______

4 + 2 = ______

4 + 3 = ______

8 + 1 = ______

5 + 2 = ______

5 + 3 = ______

9 + 1 = ______

6 + 2 = ______

6 + 3 = ______

5 +1=

6

7. Fill in the addition tables. Add the number above and the number to the left.

+ 4 5 6

50

1

2

3

Sums with 9 1. Nine marbles are grouped into two groups, in different ways. Write the addition sentences.

|

|

______ + ______ = ______

______ + ______ = ______

|

|

______ + ______ = ______

______ + ______ = ______

|

|

______ + ______ = ______

______ + ______ = ______

|

|

______ + ______ = ______

______ + ______ = ______

|

|

______ + ______ = ______

______ + ______ = ______

+8=9

+4=9

2+

=9

3+

=9

7+

+2=9

+6=9

9+

=9

6+

=9

+1=9

+7=9

+3=9

0+

=9

4+

=9

+5=9

3. Play “9 Out” and/or “Some Went Hiding” with 9 objects (see the introduction).

51

=9

4. What numbers make up nine? Fill in the missing numbers. a.

______ + 0 = 9

b.

6 + ______ = 9

c.

8 + ______ = 9

d.

______ + 4 = 9

e.

2 + ______ = 9

f.

3 + ______ = 9

5. Fill in the missing numbers. You may draw dots to help. Notice the patterns! a.

b.

c.

1 + ______ = 7

1 + ______ = 8

1 + ______ = 9

2 + ______ = 7

2 + ______ = 8

2 + ______ = 9

3 + ______ = 7

3 + ______ = 8

3 + ______ = 9

4 + ______ = 7

4 + ______ = 8

4 + ______ = 9

2 + 5

b.

1 + 6

c.

4 + 4

d.

7 + 1

e.

7 + 2

f.

3 + 5

g.

4 + 2

h.

3 + 4

i.

1 + 5

j.

4 + 5

52

7. Solve the word problems. Write an addition sentence or a missing addend sentence for each problem. Think: “ Is it asking the TOTAL? Or, do I already know the total, and something else is asked?” You can draw a picture to help! a. Mom has 2 eggs at home.

b. You see four crayons in the crayon

The cake recipe calls for five eggs. How many more eggs will she need?

box and the rest of them are lost. The full box has eight crayons. How many crayons are missing?

c. Jenny and Penny both have five

d. You have two dollars.

goldfish. How many do they have together?

Can you buy a doll for 11 dollars?

Daddy has ten dollars. How much money do you have together? Can you buy the doll together?

Betty has three goldfish. How many do the three girls have together?

e. There are two red chairs in the living

f. Joshua has five dollars. He wants to

room and six red chairs in the kitchen, and none in the other rooms. How many red chairs are in the house?

buy a truck for seven dollars. How many more dollars will he need?

g. If you have eight dollars, and a gift

h. Jack bought nails for five dollars and

for mom costs \$10, how much more money do you need?

screws for four dollars. How much money did he spend in all?

53

First add 3 + 2. It is 5. Do not write 5 in the box!

3+2

4

5

4

Then compare 5 and 4. Five is greater. Draw > .

8. First add. Write the answer below (not in the box!). Then write < or > or = . a.

5+2

4

b.

4+4

7

4

c.

1+1

2

d.

3+6

7

7

9. First add. Think the answer in your mind. Then compare and write < or > . a.

1+4

3

b.

2+2

5

c.

0+0

2

d.

5+3

7

e.

4+4

9

f.

3+5

6

g.

6+2

7

h.

3+4

8

What numbers can go into the puzzles?

+ +

= 9 +

+ = 10

+ +

= 9

= 9 +

+

= 8

= 9

54

= 8 = 8

Sums with 10 1. Ten marbles are grouped into two groups, in different ways. Write the additions.

|

|

______ + ______ = ______

______ + ______ = ______

|

|

______ + ______ = ______

______ + ______ = ______

|

|

______ + ______ = ______

______ + ______ = ______

|

|

______ + ______ = ______

______ + ______ = ______

|

|

______ + ______ = ______

______ + ______ = ______

| ______ + ______ = ______ 2. Play “10 Out” and/or “Some Went Hiding” with 10 objects (see the introduction).

55

+ 6 = 10

+ 4 = 10

1+

= 10

6+

= 10

3+

= 10

+ 3 = 10

+ 5 = 10

7+

= 10

9+

= 10

4+

= 10

+ 8 = 10

+ 9 = 10

2+

= 10

5+

= 10

8+

= 10

4. Fill in the missing numbers. You may draw dots to help. Notice the patterns! a.

b.

c.

2 + ______ = 10

2 + ______ = 9

2 + ______ = 8

3 + ______ = 10

3 + ______ = 9

3 + ______ = 8

4 + ______ = 10

4 + ______ = 9

4 + ______ = 8

5 + ______ = 10

5 + ______ = 9

5 + ______ = 8

5. Connect two numbers together if they make ten.

4

1

6

4

4

3

5

2

3

8

2

2

3

7

1

9

2

5

3

6

5

7

5

7

9

0

3

2

3

8

56

6. Which number is greater? Or are they equal? Write < or > or = . (Write one of the alligator mouths or the equal sign). a.

6

7

e.

8

6

b.

f.

10

8

5

5

c.

6

8

g.

9

8

d.

10

10

5

10

h.

7. First add. Think the answer in your mind. Then compare and write < or > or = . a.

1+9

9

b.

4+4

9

c.

5+2

6

d.

5+4

9

e.

5+5

10

f.

3+5

7

g.

6+3

10

h.

7+1

7

8. What numbers add up to ten? Fill in the missing numbers. a.

b.

c.

______ + 10 = 10

6 + ______ = 10

______ + 3 = 10

______ + 5 = 10

2 + ______ = 10

______ + 8 = 10

______ + 1 = 10

4 + ______ = 10

______ + 9 = 10

9. Draw a line to the correct answer.

7

7+1 2+6 3+4 5+2 4+4 1+6 5+3

8

9

57

7+3 3+6 4+6 1+8 5+4 3+7 2+8

10

10. Solve the word problems. a. There were three birds in

b. Tina has seven books from

the tree. Seven more flew in. How many birds are now in the tree?

the library. She has read three. How many books has she not read?

c. Jessica has ten dolls. She

d. Larry has three toy cars

sees four of them in her room. How many are elsewhere?

and his brother has three. How many do they have together?

e. Bill has ten toy cars but

f. Jack saw two birds on

he can only find six. How many are missing?

the lawn and five on the fence. How many birds did he see in all?

g. Together, Jessica and Jenny have

h. The store has ten dolls.

ten books. Jenny has five. How many does Jessica have?

Two of them are on the bottom shelf. The rest are on the top shelf. How many dolls are on the top shelf?

58

Comparisons =

=

= means “EQUAL”

6=2+4

7=7 Seven equals seven.

Six equals two plus four.

 means

“LESS THAN”

78

3+45

 means

Seven is less than eight.

Three plus four is greater than five.

“GREATER THAN”

1. First add. Think the answer in your mind. Then compare and write < or > or = . a.

4+1

5

b.

7

4+4

d.

2+5

7

e.

5

5+0

g.

2+2

3

h.

9

9

c.

f.

i.

6

2+3

10

5+5

2

2+2

2. Pick a number to write on the line so the comparison is true. a. 5 6 7

b. 4 5 6

c. 5 6 7

d. 2 3 4

_______ < 6

_______ < 5

______ > 6

______ > 3

e. 9 7 5

f. 3 6 9

g. 1 3 7

h. 2 4 6

______ > 7

_______ < 5

______ > 6

_______ < 3

59

3. Pick a number to write on the line so the comparison is true. a. 2 3 4

b. 4 5 6

c. 1 2 3

2 + _______ < 6

1 + _______ < 6

4 + _______ < 7

d. 4 5 6

e. 4 5 6

f. 7 8 9

2 + ______ > 6

1 + ______ = 6

1 + ______ > 9

g. 6 7 8

h. 2 4 6

i. 4 5 6

2 + ______ = 10

3 + _______ < 7

4 + ______ > 8

4. Compare. Write < ,  , or = .

a.

4+3

5

b. 7

+1

9

c.

4

4+2

d.

2+5

8

e.

3+4

6

f.

6

3+3

g.

8+2

10

h.

9+2

9

i.

2

2+1

5. Challenges! First add. Think the answers in your mind. Write < , > , or = .

7 +3

2+8

b.

1+1

1+4

d.

5+6

6+5

e.

2+5

2+2

g.

2+4

2+1

11 + 0

0 + 11

a.

h.

60

c.

4

1+4

f.

3

3+1

i.

0

0+0

6. What numbers add up to 10? Draw arrows to illustrate the addition sentences.

a.

______ + ______ = 10

b.

______ + ______ = 10

c.

______ + ______ = 10

d.

______ + ______ = 10

e.

______ + ______ = 10

7. Fill in as much of the addition table as you can, and don't worry about the rest. Color the square blue if the answer is 8.

+

1

2

3

4

0 1 2 3 4 5

61

5

6

7

Review of Addition Facts 1. Write different sums of 5 and sums of 6.

5 = ______ + ______

6 = ______ + ______

5 = ______ + ______

6 = ______ + ______

5 = ______ + ______

6 = ______ + ______

5 = ______ + ______

6 = ______ + ______

2. Draw a line to the correct answer.

4+1 2+3 3+3 5+0 4+2 5+1 0+6 1+4 2+4

5

6

______ + 2 = 6

______ + 0 = 6

2 + ______ = 5

0 + ______ = 5

1 + ______ = 5

3 + ______ = 6

6 + ______ = 6

4 + ______ = 6

______ + 1 = 6

______ + 4 = 5

4. Compare. Write < , > , or = .

2+2

5

4+4

5

2+4

6

2+3

5

5+5

5

2+5

6

2+4

5

5+0

5

2+6

6

62

5. Write different sums of 7 and sums of 8.

7 = ______ + ______

8 = ______ + ______

7 = ______ + ______

8 = ______ + ______

7 = ______ + ______

8 = ______ + ______

7 = ______ + ______

8 = ______ + ______

7 = ______ + ______

8 = ______ + ______

7 = ______ + ______

8 = ______ + ______

6. Draw a line to the correct answer.

4+3 2+6 3+5 4+4 5+2 1+6 5+3 7+1 6+2

7

8

______ + 2 = 7

______ + 4 = 8

______ + 4 = 7

3 + ______ = 7

2 + ______ = 8

3 + ______ = 8

5 + ______ = 8

7 + ______ = 8

6 + ______ = 7

5 + ______ = 7

8. Compare. Write < , > , or = .

3+3

7

6+1

7

6+4

8

4+3

7

6+6

7

4+4

8

5+3

7

6+4

7

5+4

8

63

9. Write different sums of 9 and sums of 10.

9 = ______ + ______

10 = ______ + ______

9 = ______ + ______

10 = ______ + ______

9 = ______ + ______

10 = ______ + ______

9 = ______ + ______

10 = ______ + ______

9 = ______ + ______

10 = ______ + ______

9 = ______ + ______

10 = ______ + ______

10. Draw a line to the correct answer.

9

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

10

______ + 2 = 10

______ + 6 = 9

______ + 4 = 9

7 + ______ = 10

2 + ______ = 9

3 + ______ = 9

5 + ______ = 10

7 + ______ = 9

6 + ______ = 10

4 + ______ = 10

12. Compare. Write < , > , or = .

2+6

9

6+6

10

10 + 4

10

4+6

9

5+5

10

10 + 0

10

3+6

9

4+4

10

10 + 7

10

64

b.

c.

d.

8 + 1 = ______

4 + 1 = ______

0 + 0 = ______

5 + 3 = ______

6 + 2 = ______

10 + 0 = ______

9 + 1 = ______

0 + 4 = ______

1 + 7 = ______

3 + 6 = ______

7 + 1 = ______

4 + 4 = ______

3 + 4 = ______

6 + 4 = ______

6 + 3 = ______

4 + 5 = ______

14. Fill in the addition table as much as you can.

+

2

4

3

6

7

5

8

1 3 4 2

represents a number, and represents another number. Solve what they are in each case (a, b, and c). Hint: Make a guess! Then check if your guess is correct. If not, change your guess. a.

b.

c.

+

=6

+

= 7

+

=8

+

= 10

65

+

+ +

=7 =5

Chapter 2: Subtraction Within 0-10 Introduction The second chapter of the Math Mammoth Grade 1-A Complete Worktext covers the concept of subtraction, its various meanings, and addition/subtraction connection.

The concept of subtraction If your child does not yet know the word “minus”, it is a good idea to introduce it first orally. Simply use blocks, rocks, or other concrete objects. For example, show the child eight blocks, and take away three blocks. Then use both kinds of wordings: “Eight blocks, take away three blocks, leaves five blocks. Eight blocks minus three blocks equals five blocks.” Play with the blocks or other concrete objects until the child can use the words “minus” and “equals” in his/her own speech. This will make it much easier to introduce the actual written symbols. In the first lessons, the child can figure out the subtraction problems by simply counting how many objects are left.

Subtraction vs. addition So, how does the student learn how to subtract without actually counting concrete objects or pictures? As a transitional strategy, we will study counting down: the student solves 9 − 3, for example, by counting down three steps from nine: eight, seven, six. So the answer is six. However, the final goal is to learn to use the addition facts to find the answer to subtraction problems. For example, once the student knows that 5 + 5 = 10, then this fact is used to solve 10 − 5 = 5. For this purpose, the student must learn well the connection between addition and subtraction. This is why this book concentrates heavily on the connection between addition and subtraction with several lessons, ending up with the concept of fact families.

Other meanings of subtraction Besides “taking away”, subtraction is also used for these two situations: 

Finding how much more one number is than another. Note that no one “takes away” anything in this situation. For example, if you have 3 dollars and you need 6 dollars, how many more dollars do you need? The student is instructed to write a “how many more” addition problem for this, which looks like this: 3 + ___ = 6. We also call these problems “missing addend” problems. It can be solved by remembering the addition fact 3 + 3 = 6, or by subtracting 6 − 3 = 3.

Two (or more) parts (of something) make up a whole. If you know the whole and one of its parts, you can figure out the other part. For example, if there are 10 white and red flowers, and seven of them are white, how many are red? We know the “parts” (the red and white flowers) add up to 10, so we write an addition 7 + __ = 10. Again, this can be solved by subtracting, or simply by knowing the addition fact 7 + 3 = 10.

These two situations are taught explicitly and can be found in the word problems throughout this chapter.

66

The Lessons in Chapter 2 page

span

Subtraction Is “Taking Away” .................................. 69

3 pages

Count Down to Subtract .........................................

72

4 pages

Subtraction and Addition in the Same Picture ........

76

4 pages

When Can You Subtract? .......................................

80

4 pages

Two Subtractions from One Addition ......................

84

3 pages

Two Parts — One Total ............................................

87

3 pages

Fact Families ..........................................................

90

4 pages

How Many More ...................................................

94

3 pages

“How Many More” Problems and Difference ..........

97

4 pages

“How Many More” Problems and Subtraction ........ 101

3 pages

Review ....................................................................

1 page

104

Helpful Resources on the Internet Use these free online resources to supplement the “bookwork” as you see fit. Kids' Subtraction Quiz from Mr. Martini's Classroom Five problems to solve online. You can choose the highest number used from the list of numbers below the quiz. http://www.thegreatmartinicompany.com/Math-Quick-Quiz/subtraction-kid-quiz.html Subtraction Mystery Picture Find out the picture behind the tiles by solving subtraction questions within 0-10. http://www.dositey.com/addsub/Mystery4.htm Matching Pictures to Number Sentences Find the correct number sentence to go along with the picture. http://www.haelmedia.com/html/mc_m1_001.html Match Pictures to Number Sentences Match pictures to either addition or subtraction number sentences. http://www.haelmedia.com/html/mc_m1_001.html Addition and Subtraction Game from The Little Animals Activity Centre Solve simple addition and subtraction problems by clicking on the ladybug with the right answer. http://www.bbc.co.uk/schools/laac/numbers/chi.shtml Subtraction Game from Count Us In Subtract two numbers which bowls a ball down a bowling alley lane. http://www.abc.net.au/countusin/games/game8.htm

67

68

Subtraction is “Taking Away” From five bananas we take away three.

There are two left.

5 – 3

=

2

Five minus three

equals

two

From six carrots we take away one.

There are five left.

6 – 1

=

5

Six minus one

equals

five

1. Cross out the correct number. How many are left? Read each subtraction sentence aloud using the words “minus” and “equals”. 10 total. Cross out 4. How many are left?

a.

10 – 4 = ______

8 total, cross out 7.

d.

8 – 7 = ______

6 total. Cross out 6. How many are left?

b.

6 – 6 = ______

8 total, cross out 6.

e.

8 – 6 = ______

69

8 total. Cross out 2. How many are left?

c.

8 – 2 = ______

7 total, cross out 3.

f.

7 – 3 = ______

9 total, cross out 3.

g.

9 – 3 = ______

6 total, cross out 2.

h.

Cross out 5.

6 – 2 = ______

10 total, cross out 7.

i.

10 – 7 = ______ Cross out 5.

Cross out 4.

j.

9 – 5 = ______

k.

8 – 4 = ______

l.

m.

6 – 3 = ______

n.

6 – 5 = ______

o.

10 – 5 = ______

5 – 5 = ______

2. Subtract. Cover the crossed-out objects with your finger to see how many are left. Read each sentence using the words “minus” and “equals”.

a.

5 – 1 = ______

b.

6 – 3 = ______

c.

5 – 3 = ______

d.

4 – 1 = ______

e.

5 – 2 = ______

f.

6 – 2 = ______

g.

9 – 3 = ______

h.

7 – 1 = ______

i.

7 – 2 = ______

j.

8 – 2 = ______

k.

7 – 3 = ______

l.

8 – 4 = ______

70

3. Draw small circles to illustrate the numbers and cross out some of them to match the subtraction problem.

a.

8 – 3 = ______

b.

d.

7 – 2 = ______

e.

g.

6 – 3 = ______

h.

j.

9 – 5 = ______

k.

5 – 1 = ______

10 – 1 = ______

7 – 3 = ______

10 – 6 = ______

c.

f.

i.

l.

10 – 7 = ______

9 – 7 = ______

10 – 4 = ______

6 – 4 = ______

4. Write a subtraction sentence to match the picture.

a.

_____ – _____ = ______

b.

_____ – _____ = ______

c.

_____ – _____ = ______

d.

_____ – _____ = ______

e.

_____ – _____ = ______

f.

_____ – _____ = ______

71

Count Down to Subtract Count 4 steps backwards from 7. You end up at 3.

7

4

= 3

“Seven” “Six, five, four, three.” Start. Count down FOUR steps.

You can also use a single arrow:

1. Draw steps (or a single arrow) to illustrate the subtraction sentence.

a.

7 – 2 = _______

b.

8 – 4 = _______

c.

6 – 5 = _______

d.

9 – 3 = _______

e.

10 – 3 = _______

72

2. Write the subtraction sentence that the arrows illustrate.

a.

______ – ______ = 2

b.

______ – ______ = 3

c.

______ – ______ = 2

d.

______ – ______ = 5

3. Draw an arrow for the subtraction sentence and solve.

a.

10 – 5 = _______

b.

7 – 6 = _______

c.

4 – 4 = _______

d.

8 – 4 = _______

e.

10 – 1 = _______

f.

7 – 5 = _______

73

4. Write the previous and the next numbers. a.

______, 5 , ______

b.

______, 2 , ______

c.

______, 8 , ______

d.

______, 6 , ______

e.

______, 4 , ______

f.

______, 9 , ______

5. Write the two previous numbers. a.

______, ______, 7

b.

______, ______, 4

c. ______,

d.

______, ______, 6

e.

______, ______, 2

f. ______,

______, 10 ______, 8

To subtract without any pictures or objects, you can count down in your mind. Count down as many steps as what you need to take away or subtract.

8 “Eight” Start.

– 3

=5

10

“Seven, six, five.” Count down THREE steps.

“Ten” Start.

– 2

=8

“Nine, eight.” Count down TWO steps.

6. Subtract one. The answer is just the previous number! a.

b.

c.

d.

6 – 1 = ______

5 – 1 = ______

9 – 1 = ______

4 – 1 = _____

8 – 1 = ______

7 – 1 = ______

3 – 1 = ______

10 – 1 = _____

7. Subtract 2 or 3. You can count down. Compare the problems. a.

b.

c.

d.

6 – 2 = _____

9 – 2 = _____

7 – 2 = _____

10 – 2 = _____

6 – 3 = _____

9 – 3 = _____

7 – 3 = _____

10 – 3 = _____

74

8. Solve the word problems. Write a subtraction sentence for each. a. There were 7 birds in a tree.

b. Mom has 10 silver plates in

Three flew away. How many are left?

the cupboard. She took out four. How many are still in the cupboard?

c. All 9 girls in the class were jumping

d. Josh took five of his 10 toy cars to

rope. Then four of them left. How many kept on jumping?

a friend's house. How many cars did he leave at home?

e. Of her eight puzzles, Fanny put three

f. Tina had 6 bunches of flowers.

in the closet. How many were left to play with?

She sold six of them. How many were left?

9. Do these problems if you know the numbers past 10. The number line will help.

a.

14 – 2 = _______

b.

14 – 4 = _______ d.

17 – 2 = _______ 17 – 3 = _______

16 – 1 = _______

c.

16 – 3 = _______ e.

12 – 1 = _______ 12 – 2 = _______

75

11 – 3 = _______ 11 – 4 = _______

f.

13 – 2 = _______ 13 – 3 = _______

Subtraction and Addition in the Same Picture How many colored circles? How many white ones?

4

+ 6

= 10

3 + 4

Cover the colored circles.

Cover the colored circles. Write a subtraction sentence.

10 – 4 =

=7

7– 3 = 4

6

1. Make an addition sentence and a subtraction sentence from the same picture. a.

b.

______ + ______ = ______

______ + ______ = ______

7 – ______ = ______

6 – ______ = ______

c.

d.

______ + ______ = ______

______ + ______ = ______

5 – ______ = ______

6 – ______ = ______

e.

f.

______ + ______ = ______

______ + ______ = ______

8 – ______ = ______

6 – ______ = ______

76

2. Make an addition sentence and a subtraction sentence for the same picture. b.

a.

______ + ______ = ______

______ + ______ = ______

______ – ______ = ______

______ – ______ = ______

c.

d.

______ + ______ = ______

______ + ______ = ______

______ – ______ = ______

______ – ______ = ______

3. In each problem, draw circles and then color some circles to fit the addition sentence. Then cover the COLORED circles and make a subtraction sentence.

a.

7 + 1 = ______

b.

______ – ______ = ______

c.

______ – ______ = ______

2 + 3 = ______

d.

______ – ______ = ______

e.

6 + 3 = ______

2 + 5 = ______

______ – ______ = ______

7 + 4 = ______

f.

______ – ______ = ______

3 + 3 = ______

______ – ______ = ______

77

4. Cover the colored objects, and write a subtraction sentence to fit the picture.

a.

b.

______ – ______ = ______

______ – ______ = ______

c.

d.

______ – ______ = ______

______ – ______ = ______

e.

f.

______ – ______ = ______

______ – ______ = ______

g.

h.

______ – ______ = ______

______ – ______ = ______

5. In each problem, draw some circles and color some circles to fit the addition sentence. Then cover the COLORED circles and make a subtraction sentence.

9 + 1 = ______

a.

b.

______ – ______ = ______

c.

7 + 2 = ______

______ – ______ = ______

10 + 4 = ___

d.

______ – ______ = ______

10 + 2 = ___

______ – ______ = ______

78

6. Draw circles to fit the subtraction sentence. Write an addition sentence too.

a.

9 – 4 = ___

b.

______ + ______ = ______

c.

______ + ______ = ______

8 – 5 = ___

d.

______ + ______ = ______

e.

10 – 5 = ___

8 – 4 = ___

______ + ______ = ______

7 – 4 = ___

f.

______ + ______ = ______

9 – 8 = ___

______ + ______ = ______

First subtract and add. But do not write the answers! Just think them in your mind. Then compare, and write < or > or = .

3

3–1

6+5

6

10

10 – 1

9–7

8–7

6–4

2+3

8–5

5+3

5+2

8+2

10 – 1

10 – 3

7–4

8–5

10 – 2

8–2

10 + 0

10 – 0

8–1

8+1

79

When Can You Subtract? Sometimes we cannot really do the subtraction problem. For example:

3 – 0 = ______

3 – 4 = ??

3 – 1 = ______

3 – 5 = ??

3 – 2 = ______

3 – 6 = ??

3 – 3 = ______

We cannot take away four or five or six objects when there are only three!

These we can do!

1. Write the subtraction problems you can do when there are... ...four triangles

...six circles

...five sticks

IIIII 4 – 0 = ____

6 – 0 = ____

____ – ____ = ____

4 – 1 = ____

____ – ____ = ____

____ – ____ = ____

4 – 2 = ____

____ – ____ = ____

____ – ____ = ____

____ – ____ = ____

____ – ____ = ____

____ – ____ = ____

____ – ____ = ____

____ – ____ = ____

____ – ____ = ____

____ – ____ = ____

____ – ____ = ____

____ – ____ = ____

You cannot do the subtraction problem when the second number is __________________ than the first number. (Or if you do, you go into debt!)

80

2. Count down to subtract.

a.

b.

c.

d.

7 – 1 = ______

9 – 1 = ______

10 – 1 = ______

12 – 1 = ______

7 – 2 = ______

9 – 2 = ______

10 – 2 = ______

12 – 2 = ______

7 – 3 = ______

9 – 3 = ______

10 – 3 = ______

12 – 3 = ______

3. Continue the patterns as long as you can! a.

b.

c.

7

0

= ____

10 – 5 = ____

8 – 2 = ____

7

1

= ____

9 – 5 = ____

7 – 2 = ____

7 – 2 = ____

8 – 5 = ____

6 – 2 = ____

7 – ____ = ____

____ – 5 = ____

____ – ____ = ____

____ – ____ = ____

____ – ____ = ____

____ – ____ = ____

____ – ____ = ____

____ – ____ = ____

____ – ____ = ____

____ – ____ = ____

____ – ____ = ____

____ – ____ = ____

____ – ____ = ____

____ – ____ = ____

____ – ____ = ____

____ – ____ = ____

____ – ____ = ____

____ – ____ = ____

81

4. If you can't take away or subtract that many, cross out the problem.

4–0

2–4

3–2

3–6

9–5

4–2

3 – 10

3–4

5–6

7–7

5–6

4–3

4–5

8–5

5–8

4–5

4–3

7–9

10 – 1

5–3

5. For each problem, answer these questions: Can the child buy the item? If yes, how much money will she/he have left? If not, how much more money would she/he need to buy the item? You can draw pictures to help.

a. Jennie has three dollars. She wants to buy a doll that costs five dollars.

b. Jessie has \$5. He wants a ball that costs \$2.

c. Lola has seven dollars. She wants to buy a Lego set that costs four dollars.

d. Marvin has \$5. He wants a book that costs \$6.

e. Jack has eight dollars. He wants to buy a construction set that costs ten dollars.

f. Mary has seven dollars. She wants a car that costs two dollars.

g. Faye has \$12. She wants to buy a game that costs \$4.

h. Anthony has ten dollars. He wants a game that costs fifteen dollars.

82

6. Subtraction can be written this way too! Write the answer below the line. a.

10 – 3

b.

8 – 7

c.

6 – 5

d.

8 – 6

e.

8 – 0

f.

7 – 7

g.

7 – 6

h.

6 – 6

i.

6 – 1

j.

9 – 4

k.

10 – 8

l.

4 – 0

m.

6 – 4

n.

7 – 2

o.

9 – 3

7. If the answer is four, color the box red. If the answer is five, color the box orange. If the answer is ten, color the box yellow. And if you can't do the subtraction, color the box light blue.

10 – 6

6–7

5–6

5 – 10

7–3

1–6

10 – 5

9 – 10

8–3

1–3

7–9

1–2

10 – 0

3–5

6–9

4–8

6–1

0–9

9–4

7–8

8–4

0–4

2–6

6–9

9–5

83

Two Subtractions from One Addition From one addition fact, you can make TWO subtraction facts:

Sometimes the two subtraction facts are the same:

3+4=7

7–4=3

2+2=4

7–3=4

4–2=2

Take away the carrots in the top row.

Take away the carrots in the bottom row.

or

Take away the carrots in the bottom row.

or

4–2=2 Take away the carrots in the top row.

1. Write one addition and two subtraction sentences. Subtract either the things in the top row or in the bottom row.

a.

1 + 3 =

4

b.

4 – 3 = _____ or

c.

2 + 3 =

5

5 – _____ = _____

4 – 1 = _____

or

_____ + _____ = _____

d.

5 – _____ = _____

_____ + _____ = _____

_____ – _____ = _____

_____ – _____ = _____

or _____ – _____ = _____

or _____ – _____ = _____

84

e.

_____ + _____ = _____

f.

_____ + _____ = _____

_____ – _____ = _____

_____ – _____ = _____

or _____ – _____ = _____

or _____ – _____ = _____

g.

_____ + _____ = _____

h.

_____ + _____ = _____

_____ – _____ = _____

_____ – _____ = _____

or _____ – _____ = _____

or _____ – _____ = _____

i.

_____ + _____ = _____

j.

_____ + _____ = _____

_____ – _____ = _____

_____ – _____ = _____

or _____ – _____ = _____

or _____ – _____ = _____

k.

_____ + _____ = _____

l.

_____ + _____ = _____

_____ – _____ = _____

_____ – _____ = _____

or _____ – _____ = _____

or _____ – _____ = _____

85

2. Write the addition fact and the subtraction facts. Draw X's in two groups.

XXXXXX X a.

c.

XXXX XXX

6 + 1 = 7

b.

4 + 3 = 7

7 – 1 = 6

7 – _____ = _____

7 – 6 = 1

7 – _____ = _____

7 + 1 = _____

d.

5 + 4 = _____

_____ – _____ = _____

_____ – _____ = _____

_____ – _____ = _____

_____ – _____ = _____

e.

2 + 6 = _____

f.

3 + 5 = _____

_____ – _____ = _____

_____ – _____ = _____

_____ – _____ = _____

_____ – _____ = _____

g.

1 + 8 = _____

h.

5 + 5 = _____

_____ – _____ = _____

_____ – _____ = _____

_____ – _____ = _____

_____ – _____ = _____

86

Two Parts — One Total There are ten marbles. Some are blue and seven are green. How many are blue? You can write an addition sentence. You can ALSO write a subtraction sentence, even though nothing is taken away.

_____ + 7 = 10 10 – 7 = _____ Cover part of the total (the green marbles), and you will see the other part (the blue marbles).

There are five blue marbles and some green marbles in a bag. There is a total of nine marbles. How many are green?

_____ + _____ = _____

Draw the marbles. Write an addition sentence AND a subtraction sentence.

_____ – _____ = _____

1. Solve the word problems. Write an addition sentence AND a subtraction sentence. a. Mom put some blue and red flowers in a vase. Jen

counted five red flowers, and a total of ten flowers. How many of the flowers are blue?

b. There are nine children on a team, and four of them

_____ + _____ = _____ _____ – _____ = _____

_____ + _____ = _____

are boys. How many are girls?

_____ – _____ = _____

87

c. Jack has ten socks in his basket. Eight of them

are white, and the rest are black. How many are black?

_____ + _____ = _____ _____ – _____ = _____

d. Mary saw eight chairs on the lawn,

_____ + _____ = _____

and two had blown over. How many were still sitting upright?

_____ – _____ = _____

2. For each picture, make a word problem that is solved by subtraction. a.

b.

88

3. Write an addition sentence for the pictures.

a.

_____ + _____ + _____ = _____

b.

_____ + _____ + _____ = _____

c.

_____ + _____ + _____ = _____

d.

_____ + _____ + _____ = _____

4. Draw the missing marbles to match the addition sentence.

a.

3 + 2 + _____ = 8

b.

5. Draw a picture to solve these problems. a. Jane had some red, blue, and yellow roses

in a vase. Two roses were blue, and two were red. If she had a total of ten roses, how many of them were yellow?

b. Seven birds sat in a tree. One of

them was black, two were blue, and the rest were brown. How many were brown?

c. Mary has two long pencils, two medium-

size pencils, and the rest of her pencils are short. If she owns nine pencils, how many of her pencils are short?

89

1 + 5 + _____ = 10

Fact Families Two addition facts and two subtraction facts form a fact family if they use the same three numbers. For example, with 5, 3, and 2 we get a fact family on the right:

5

/ 2+3=5

5–3=2

3+2=5

5–2=3

1. Write the fact families to match the pictures. a.

6

b.

/

8

/

1 + 5 = 6

_____ + _____ = _____

5 + 1 = 6

_____ + _____ = _____

6 – _____ = _____

_____ – _____ = _____

6 – _____ = _____

_____ – _____ = _____

c.

9

d.

/

10

/

_____ + _____ = _____

_____ + _____ = _____

_____ + _____ = _____

_____ + _____ = _____

_____ – _____ = _____

_____ – _____ = _____

_____ – _____ = _____

_____ – _____ = _____ 90

2. Write the fact families to match the pictures. a.

___

b.

___

/

/

_____ + _____ = _____

_____ + _____ = _____

_____ + _____ = _____

_____ + _____ = _____

_____ – _____ = _____

_____ – _____ = _____

_____ – _____ = _____

_____ – _____ = _____

3. Draw circles and write different fact families in which the sum is 7. a.

7

b.

7

/

/

_____ + _____ = _____

_____ + _____ = _____

_____ + _____ = _____

_____ + _____ = _____

_____ – _____ = _____

_____ – _____ = _____

_____ – _____ = _____

_____ – _____ = _____

c.

7

d.

7

/

/

_____ + _____ = _____

_____ + _____ = _____

_____ + _____ = _____

_____ + _____ = _____

_____ – _____ = _____

_____ – _____ = _____

_____ – _____ = _____

_____ – _____ = _____

91

4. Make the four facts for the given numbers. a. Numbers: 5, 3, 2

b. Numbers: 9, 4, 5

2 + 3 = 5

4 + 5 = 9

3 + 2 = 5

_____ + _____ = 9

5 – 3 = 2

9 – 4 = _____

5 – 2 = 3

9 – _____ = _____

c. Numbers: 4, 0, 4

d. Numbers: 10, 3, 7

4 + 0 = 4

_____ + _____ = _____

_____ + _____ = _____

_____ + _____ = _____

4 – 0 = _____

_____ – _____ = _____

_____ – _____ = _____

_____ – _____ = _____

e. Numbers: 10, _______, 8

f. Numbers: 6, 0, _______

_____ + _____ = _____

_____ + _____ = _____

_____ + _____ = _____

_____ + _____ = _____

_____ – _____ = _____

_____ – _____ = _____

_____ – _____ = _____

_____ – _____ = _____

92

Sometimes two addition facts are the same, and the two subtraction facts are the same. For example, with 8, 4, and 4, we only get one addition fact and one subtraction fact.

4+4=8

8–4=4

(4 + 4 = 8)

(8 – 4 = 4)

5. Write the fact families. a.

c.

Numbers: 10, 5, 5

b.

Numbers: 9, 1, 8

_____ + _____ = _____

_____ + _____ = _____

_____ + _____ = _____

_____ + _____ = _____

_____ – _____ = _____

_____ – _____ = _____

_____ – _____ = _____

_____ – _____ = _____

Numbers: 6, 3, _____

d.

Numbers: 7, 1, _____

_____ + _____ = _____

_____ + _____ = _____

_____ + _____ = _____

_____ + _____ = _____

_____ – _____ = _____

_____ – _____ = _____

_____ – _____ = _____

_____ – _____ = _____

What numbers are

,

, and

representing?

–4=5

5–

=4

+4=5

–2=3

7–

=1

+2=3

–7=1

10 –

=5

+ 7 = 10

93

How Many More? Henry |

|

Henry

|

|

|

Cindy

Cindy

Cindy has more marbles. How many more?

Cindy has fewer marbles. How many fewer?

Match three marbles from each box.

Match two marbles from each box.

Two marbles did not get matched, so Cindy has 2 more marbles than Henry.

Four marbles did not get matched, so Cindy has 4 fewer marbles than Henry.

(Henry has 2 fewer marbles than Cindy.)

(Henry has 4 more marbles than Cindy.)

1. Fill in how many more or how many fewer marbles one child has than another.

Jane

Mark

Jim

Mary

a. Jane has ______ more than Jim.

b. Mark has ______ more than Mary.

Jim has ______ fewer than Jane.

Mary has ______ fewer than Mark.

Ann

Faye

Liz

Sam

c. Liz has ______ more than Ann.

d. Sam has ______ more than Faye.

Ann has ______ fewer than Liz.

Faye has ______ fewer than Sam.

Peter

Susan

Frank

Bill

e. Frank has ______ more than Peter.

f. Susan has ______ more than Bill.

Peter has ______ fewer than Frank.

Bill has ______ fewer than Susan.

94

2. Now it's your turn to draw. Draw marbles for the child that has none.

Jane

Mark

Jim

Mary

a. Jane has 3 more than Jim.

b. Mary has 4 more than Mark.

Eric

Jack

Bill

Jane

c. Eric has 2 fewer than Bill.

d. Jane has 5 fewer than Jack.

Bill

Lucy

Greg

Liz

e. Greg has 1 more than Bill.

f. Lucy has 5 more than Liz.

Ed

Ann

Sally

Mary

g. Sally has 2 fewer than Ed.

h. Ann has 4 fewer than Mary.

Sue

Jill

Ben

Mary

i. Ben has five more than Sue.

j. Jill has five fewer than Mary.

95

3. It is still your turn to draw. You can decide how many marbles the children have.

Jane

Mark

Jim

Mary

a. Jane has 5 more than Jim.

b. Mary has 2 more than Mark.

Eric

Jack

Bill

Jane

c. Eric has 6 fewer than Bill.

d. Jane has 7 more than Jack.

Bill

Lucy

Greg

Liz

e. Greg has 2 fewer than Bill.

f. Lucy has 8 more than Liz.

4. Solve these problems.

a. Ed has five cards, and Jack has seven. How many more cards than Ed does Jack have?

b. John is 8 years old and Jack is 5. How many years older is John?

c. Annie is 10 years old and Beth is 8. How many years younger is Beth?

d. Ruth had 9 dolls, and Tina had 4 dolls. How many fewer did Tina have?

96

“How Many More” Problems and Difference How many more emails does Jane have than John?

John

Jane

Draw more emails for John so that the children have the same amount. I drew _____ more emails.

You can write an addition for a “how many more” problem.

2 + _____ = 5 Read: “2 and how many more makes five?”

a.

1 + _____ = 4

“1 and how many more makes 4?”

d.

4 + _____ = 10

b.

3 + _____ = 6

“3 and how many more makes 6?”

e.

c.

3 + _____ = 7

“3 and how many more makes 7?”

2 + _____ = 8

f.

1 + _____ = 5

The problem _____ + 2 = 5 is also read “2 and how many more makes five?” 2. Draw more. Solve.

a.

_____ + 5 = 7

5 and how many more makes 7?

d.

_____ + 2 = 7

b.

_____ + 2 = 6

2 and how many more makes 6?

e.

_____ + 4 = 7 97

c.

_____ + 1 = 8

1 and how many more makes 8?

f.

_____ + 3 = 6

How many more problems are DIFFERENCE problems. The difference of two numbers means how far the two numbers are from each other.

How far is 3 from 7?

How far is 8 from 13?

How much difference is there between 3 and 7?

How much difference is there between 8 and 13?

3 and how many more make 7?

8 and how many more make 13?

3 + ______ = 7

8 + ______ = 13

The answer to all these is 4.

The answer to all these is 5.

3. What is the difference between the numbers? Take steps on the number line.

a. from 6 to 10

b. from 5 to 8

______ steps

c. from 7 to 11

______ steps

d. from 5 to 5

______ steps

e. from 1 to 10

______ steps

______ steps

4. Find the difference between the numbers. “Travel” on the number line! From

8

4

1

3

6

10

8

9

To

10

10

9

1

5

5

12

15

Difference

5. Solve the difference between the numbers. Then write an addition. Be careful. a. from 3 to 5

b. from 1 to 5

c. from 2 to 7

______ steps

______ steps

______ steps

3 + 2 =5

1 + _____ = 5

2 + _____ = 7

98

6. Solve the difference between the numbers. Then write an addition. Be careful. a. from 6 to 9: ______ steps

b. from 4 to 8: ______ steps

6 + _____ = 9

_____ + _____ = _____

c. from 8 to 9: ______ steps

d. from 2 to 6: ______ steps

_____ + _____ = _____

_____ + _____ = _____

7. Who has more marbles? How many more? Write a “how many more” addition. You can also draw.

Jill

Ed

Sue

Al

a. Jill has 10 and Sue has 7.

b. Ed has 4 and Al has 7.

7 + _____ = 10

_____ + _____ = _____

Jill

has 3 more.

_______________ has _____ more.

c. Veronica has 4 and Ann has 6.

d. Hannah has 9 and Michelle has 2.

_____ + _____ = _____

_____ + _____ = _____

_______________ has _____ more.

_______________ has _____ more.

e. Britney has 11 and Jeanne has 10.

f. Ben has 5 and Don has 10.

_____ + _____ = _____

_____ + _____ = _____

_______________ has _____ more.

_______________ has _____ more.

99

8. Solve the problems. Think carefully: Is it asking for the total? OR is it asking, “How many more?” a. There are two cassette tapes on the table, and eight on the shelf.

How many tapes are there together?

How many more tapes are on the shelf?

b. There are five birds each in both the apple tree and the oak tree.

Four more flew into the oak tree. How many birds are now in the oak tree?

How many more birds are in the oak tree than in the apple tree?

c. Brenda has 2 toy cars, Jason has 9, and Joe has 10.

How many more than Jason does Joe have?

How many more than Brenda does Jason have?

100

“How Many More” Problems and Subtraction Nathalie needs ten safety-pins. She only has two. How many more does she need?

+

?

= 10 = 10

2 +

You can use subtraction to solve a problem that asks “how many more”, like the problem 2 + _____ = 10.

Use the Fact Family:

Simply subtract the numbers: 10 – 2 = ____.

2 + 8 = 10, 10 – 2 = 8

It gives you the answer to 2 + _____ = 10. Why? Because both problems are in the same fact family.

8 + 2 = 10, 10 – 8 = 2

1. Fill in. The “how many more” problem has the same answer as the subtraction problem!

+ a.

5

+ ____ = 7

+ b.

7 – 5 = _____

3

5

+ ____ = 10

3 + _____ = 10 10 – 3 = _____

c.

4

e.

4

+

+ ____ = 7

f.

2 + _____ = 9 9 – 2 = _____

101

5

+ ____ = 8

8 – 5 = _____

7 – 4 = _____ h.

+ ____ = 9

9 – 4 = _____

+

10 – 5 = _____ g.

+ ____ = 8

8 – 3 = _____

+ d.

+

i.

1 + _____ = 7 7 – 1 = _____

2. Solve the subtraction problem first. (It is probably easier.) Then copy the answer to the “how many more” problem. a.

2 + _____ = 8

8 – 2 = _____

b.

1 + _____ = 9

c.

9 – 1 = _____

3 + _____ = 10

10 – 3 = _____

d.

3 + _____ = 9

9 – 3 = _____

The “how many more” problem has the same answer as the subtraction problem! 3. Write a subtraction problem under each “how many more” problem, using the same numbers. Solve the subtraction problem first. a.

1 + _____ = 7

_____ – ____ = ____ d.

3 + _____ = 8

_____ – ____ = ____

b.

2 + _____ = 9

c.

_____ – ____ = ____ e.

2 + _____ = 10

_____ – ____ = ____

1 + _____ = 10

_____ – ____ = ____ f.

3 + _____ = 9 _____ – ____ = ____

4. Solve. THINK: Do you already know the total? Or is the problem asking for the total? You can also draw a picture to help! a. Mary ate two carrots. The rabbit ate

b. Baby put three blocks in a stack, and

six carrots. What was the total number of carrots eaten?

c. There were five lambs in the pen. Two

another four blocks in another stack. How many blocks did the baby use?

d. Lisa needs 8 dollars for a stuffed

hippo. She has saved 4 dollars. How many more dollars does she need?

more lambs went into the pen. How many lambs are now in the pen?

102

5. First write a “how many more” problem for each subtraction problem, using the same numbers. Then solve the easier problem. Copy the answer to the other problem. a.

8 – 6 = ____

b.

____ + ____ = ____ d.

10 – 8 = ____

10 – 9 = ____

c.

____ + ____ = ____ e.

____ + ____ = ____

9 – 8 = ____

9 – 7 = ____ ____ + ____ = ____

f.

____ + ____ = ____

7 – 6 = ____ ____ + ____ = ____

6. Solve. THINK: Do you already know the total? Or is the problem asking for the total? Write an addition or subtraction for each problem. You can also draw a picture to help! a. Mom needs six cucumbers. She

b. There were seven ducks on the pond.

already has three. How many more does she need?

Three flew away. How many were left?

c. Jane wants to buy a teddy bear for

d. A book has ten pages. Jerry has read

8 dollars. She has saved 6 dollars. How much more money does she need?

six pages. How many pages does he have left to read?

7. Solve. The number line helps. Skip (c) and (d) if you don't know numbers after 10. a.

b.

c.

d.

6 + _____ = 7

3 + _____ = 9

9 + _____ = 10

10 + _____ = 12

6 + _____ = 8

3 + _____ = 8

9 + _____ = 13

10 + _____ = 15

6 + _____ = 9

3 + _____ = 7

9 + _____ = 14

10 + _____ = 13

103

Review 1. Write a fact family to match the picture.

____ + ____ = ____

____ − ____ = ____

____ + ____ = ____

____ − ____ = ____

9

/

2. a. Write a subtraction that matches the addition 6 + 4 = 10. b. Write a subtraction that matches the addition 5 + ____ = 9.

____ − ____ = ____ ____ − ____ = ____

3. a. There are 8 children playing in the yard. Two are girls. How many are boys?

b. Kay has four marbles. Susan has two more marbles than Kay.

Draw Kay's and Susan's marbles.

c. Five sparrows and two robins are feeding on seeds. One more robin flies in.

How many more sparrows than robins are there now? 4. Find the missing numbers. a.

b.

c.

d.

3 + _____ = 4

6 – _____ = 3

10 – 0 = _____

8 – 2 = _____

1 + _____ = 9

8 – _____ = 7

5 – 3 = _____

7 – 3 = _____

3 + _____ = 10

_____ – 1 = 6

6 – 6 = _____

10 – 1 = _____

2 + _____ = 7

_____ – 2 = 8

7 – 4 = _____

9 – 2 = _____

104

Chapter 3: Addition and Subtraction Facts Introduction The third chapter of the Math Mammoth Grade 1-A Complete Worktext provides lots of practice for learning and memorizing the basic addition and subtraction facts within 0-10.

The Lessons in Chapter 3 page

span

Addition and Subtraction Facts with 4 and 5 ..... 107

2 pages

Addition and Subtraction Facts with 6 .............. 109

3 pages

Addition and Subtraction Facts with 7 .............. 112

2 pages

Addition and Subtraction Facts with 8 .............. 114

3 pages

Addition and Subtraction Facts with 9 .............. 118

3 pages

Addition and Subtraction Facts with 10 ............ 121

3 pages

Adding and Subtracting Many Numbers ........... 125

4 pages

Review - Facts with 6, 7, and 8 .......................... 129

2 pages

Review - Facts with 9 and 10 ............................. 131

2 pages

105

Helpful Resources on the Internet Use these free online resources to supplement the “bookwork” as you see fit. Exuberant Eye Games Practice your basic facts with these kid-appealing simple games. http://www.games.exuberanteye.com/ Mental Maths Practice Online practice of sets of 10 addition and subtraction questions; timed http://www.teachingtreasures.com.au/maths/mental-maths/yr1-maths-pg1.htm Math Facts Practice at playKidsgames.com Timed practice with various skill levels. http://www.playkidsgames.com/games/mathfact/default.htm Number Bond Machines Practice which two numbers add up to a given number. http://www.amblesideprimary.com/ambleweb/mentalmaths/numberbond.html Online Subtraction Flash Cards http://www.thegreatmartinicompany.com/WebMozilla/subtractionm.html and http://www.thegreatmartinicompany.com/WebMozilla/subtractionmfill.html Number Line Bounce Arrange the given bounce arrows on a number line using addition and subtraction until you reach the target number. Since it uses several operations, it is challenging for first graders, but give it a try. http://nlvm.usu.edu/en/nav/frames_asid_107_g_1_t_1.html

106

Addition and Subtraction Facts with 4 and 5

Facts with 4

Facts with 5

4 + 0 = 4

4 – 4 = 0

0 + 4 = 4

4 – 0 = 4

1 + 3 = 4

4 – 3 = 1

3 + 1 = 4

4 – 1 = 3

2 + 2 = 4

4 – 2 = 2

5 + 0 = 5

5 – 5 = 0

____ + ____ = 5

5 – ____ =____

4 + 1 = 5

5 – 4 = ____

1 + 4 = 5

5 – ____ =____

3 + 2 = 5 _____ + _____ = 5

5 – 3 = ____ 5 – ____ =____

1. Find the missing numbers. a.

b.

c.

d.

3 + _____ = 4

2 + _____ = 5

5 – 0 = _____

4 – 0 = _____

1 + _____ = 4

1 + _____ = 5

5 – 4 = _____

4 – 3 = _____

1 + _____ = 5

4 + _____ = 5

5 – 2 = _____

5 – 1 = _____

2 + _____ = 4

3 + _____ = 5

4 – 1 = _____

4 – 2 = _____

107

2. Color the square      

yellow if the answer is 0. red if the answer is 1, blue if the answer is 2, green if the answer is 3, purple if the answer is 4, orange if the answer is 5.

5–4

2+3

4–4

1+2

4–2

1+3

2+2

3–2

5–0

0+0

5–2

1+1

0+2

5–1

0+1

1+4

0–0

4–1

3. Continue the patterns as long as you can!

17 – 0 = _____

10 + _____ = 10

5 – 2 = _____

17 – 1 = _____

10 + _____ = 11

6 – 2 = _____

17 – 2 = _____

10 + _____ = 12

7 – 2 = _____

17 – ____ = _____

10 + _____ = ____

____ – 2 = _____

17 – ____ = _____

____ + ____ = ____

_____ – ____ = _____

_____ – ____ = _____

____ + ____ = ____

_____ – ____ = _____

_____ – ____ = _____

____ + ____ = ____

_____ – ____ = _____

108

Addition and Subtraction Facts with 6 1. Write the fact families in which the sum is six. At the top, write the three numbers you are using for the fact families.

6, 0, 6

_____, _____, 6

_____, _____, 6

6 + 0 = 6

5 + 1 = 6

4 + 2 = 6

______ + ____ = 6

______ + ____ = 6

______ + ____ = 6

6 – 6 = 0

6 – 5 = ____

6 – 4 = ____

6 – 0 = 6

6 – ____ = ____

6 – ____ = ____

2. Write the numbers that add up to 6. Memorize these!

_____, _____, 6

0 + _____ = 6

or

______ + 0 = 6

1 + _____ = 6

or

______ + 1 = 6

3 + 3 = 6

2 + _____ = 6

or

______ + 2 = 6

6 – 3 = ____

3 + _____ = 6

3. Subtract. a.

6 –5

b.

6 –4

c.

d.

6 –6

6 –2

4. Play the “6 Out” card game (see the introduction in this book).

109

e.

6 –1

f.

6 –3

5. Find the missing numbers. a.

b.

c.

d.

4 + _____ = 6

5 + _____ = 6

_____ + 2 = 6

_____ + 1 = 6

6 + _____ = 6

0 + _____ = 6

_____ + 0 = 6

6 – _____ = 6

1 + _____ = 6

_____ + 4 = 6

_____ + 5 = 6

6 – _____ = 5

6. For each “how many more” problem, write a subtraction using the same numbers. Solve.

2 + _____ = 6

a.

6 d.

– 2 = _____ 0 + _____ = 6

_____ – _____ = ____

b.

2 + _____ = 4

_____ – _____ = ____ e.

3 + _____ = 6

_____ – _____ = ____

c.

4 + _____ = 5

_____ – _____ = ____ f.

2 + _____ = 5

_____ – _____ = ____

7. Write the fact families. a.

c.

1 + _____ = 6

b.

1 + _____ = 5

_____ + 1 = 6

_____ + _____ = _____

_____ – _____ = _____

5 – _____ = _____

_____ – _____ = _____

5 – _____ = _____

2 + 4 = 6

d.

0 + 4 = _____

_____ + _____ = _____

_____ + _____ = _____

_____ – _____ = _____

_____ – _____ = _____

_____ – _____ = _____

4 – 4 = 0

110

8. Solve the word problems. Think:   

Are you asked for the total? OR Are you asked how many more? OR Are you asked how many are left?

a. The black cat has 4 kittens and the white cat has three.

How many kittens do they have altogether? How many more kittens does the white cat have than the black cat?

b. John had ten crayons but now he only has two.

How many crayons has he lost?

c. Mother found ten clothespins in one container and two in another.

How many clothespins were in the two containers?

How many more clothespins were in first container than in the second?

d. Jill has two eggs. She needs eight eggs to make some cakes.

Her neighbor has three eggs. How many more eggs does Jill need?

How many eggs do Jill and her neighbor have together? If the neighbor gives Jill the three eggs she has, how many more does Jill still need?

111

Addition and Subtraction Facts with 7 1. Write the fact families with 7. At the top, write the three numbers you are using.

7, 0, 7

_____, _____, 7

_____, _____, 7

7 + 0 = 7

6 + _____ = 7

5 + _____ = 7

_____ + ____ = 7

____ + ____ = _____

____ + ____ = _____

7 – ____ = _____

7 – _____ = _____

7 – _____ = _____

7 – ____ = _____

____ – ____ = _____

____ – ____ = _____

_____, _____, 7

2. Write down the numbers that add up to 7 and memorize the addition facts!

0 + ____ = 7

or

_____ + 0 = 7

4 + ____ = 7

1 + ____ = 7

or

_____ + 1 = 7

____ + ____ = _____

2 + ____ = 7

or

_____ + 2 = 7

7 – ____ = _____

3 + ____ = 7

or

_____ + 3 = 7

____ – ____ = _____

3. Play the “7 Out” card game.

112

4. Subtract. a.

b.

7 –5

c.

7 –4

d.

7 –6

e.

7 –2

f.

7 –1

7 –3

5. Fill in. Then draw a line between the facts that are from the same fact family.

5 + _____ = 7

7 – _____ = 4

7 – _____ = 6

7 – 0 = _____

6 + _____ = 7

_____ + 4 = 7

7 – 3 = _____

7 – 2 = _____

7 – _____ = 7

7 – _____ = 1

0 + _____ = 7

7 – _____ = 2

6. Add, subtract, and find the missing numbers. a.

b.

c.

7 – 3 = _____

5 + 2 = _____

_____ + 4 = 7

5 – 5 = _____

4 + 1 = _____

_____ + 2 = 6

6 – 2 = _____

2 + 4 = _____

_____ + 1 = 5

4 – 3 = _____

3 + 2 = _____

_____ + 2 = 7

7. Can you figure out how to fill in the rest of this subtraction chart?

12

1

11

2

11

10

9

8

7

6

5

4

3

6 9

4

113

1

Addition and Subtraction Facts with 8 1. Write the fact families in which the sum is eight.

8, ____, 8

_____, _____, 8

_____, _____, 8

8 + 0 = 8

7 + ____ = 8

____ + ____ = _____

____ + ____ = 8

____ + ____ = 8

____ + ____ = _____

8 – ____ = ____

8 – ____ = _____

____ – ____ = _____

____ – ____ = ____

____ – ____ = _____

____ – ____ = _____

_____, _____, 8

_____, _____, 8

____ + ____ = 8

____ + ____ = 8

____ + ____ = 8 ____ – ____ = ____

____ – ____ = ____

____ – ____ = ____ 2. Play the “8 Out” card game.

114

3. Write the addition facts with 8 and memorize them!

0 + _____ = 8

or

_____ + 0 = 8

1 + _____ = 8

or

_____ + 1 = 8

2 + _____ = 8

or

_____ + _____ = 8

3 + _____ = 8

or

_____ + _____ = 8

4 + _____ = 8

4. Find the missing numbers. a.

b.

c.

d.

8 – 3 = _____

5 + _____ = 8

4 + _____ = 8

8 – 7 = _____

8 – 1 = _____

1 + _____ = 8

6 + _____ = 8

8 – 0 = _____

8 – 2 = _____

2 + _____ = 8

7 + _____ = 8

8 – 4 = _____

First subtract 6 – 2. It is 4. 6 – 2 Do not write 4 in the box! Then compare 4 and 5. Five is greater. Draw < .

5

4

5

5. First Subtract. Write the answer below (not in the box!). Then write < or > or = . a.

5–2

4

↓ 4

b.

7–4

5

c.

5

115

8–1

7

d.

6–3

2

First do 4 + 2 (on left side) and 8 – 3 (on the right side). Do not write the answers in the box! You can write the answers below. Then compare. Six is greater. Draw > .

4+2

8–3

6

5

6. First add and subtract. Write the answers below (not in the box!). Then compare, and write < or > or = . a.

e.

h.

k.

5–2

4–2

6+2

7+2

1–1

3–2

8–1

4–2

b.

f.

i.

l.

8–1

7–1

7–1

7–2

3 + 10

10

7–2

6–1

116

c.

g.

8–6

8–5

4+4

7–5

7

j.

m.

4+2

9–0

7+2

7. Fill in the missing numbers. Then draw a line between the facts that are from the same fact family.

6 + _____ = 8

8 – 4 = _____

_____ + 5 = 8

8 – 0 = _____

8 – _____ = 3

8 – _____ = 6

8 – 3 = _____

7 + _____ = 8

_____ + 4 = 8

_____ + 1 = 8

8 – 2 = _____

8 – _____ = 8

4 + _____ = 8

0 + _____ = 8

8 – 1 = _____

8. Solve the word problems. Drawing can help you solve these. a. Jack has 10 cars, Bill has 7, and Ed has 4.

How many more cars than Ed does Bill have? How many more cars than Ed does Jack have? How many more cars than Bill does Jack have?

b. Mary has saved 7 dollars. She'd like to buy a puzzle for 5 dollars and

a game for 3 dollars. Can she buy both things? If she can, how much money does she have left over?

If she can't, how much more money would she need to save?

117

Addition and Subtraction Facts with 9 1. Write the fact families where the sum is 9.

9, 0 , 9

_____, _____, 9

_____, _____, 9

9 + ____ = 9

____ + ____ = ______

____ + ____ = ______

____ + ____ = 9

____ + ____ = ______

____ + ____ = ______

9 – ____ = ______

____ – ____ = ______

____ – ____ = ______

____ – ____ = ______

____ – ____ = ______

____ – ____ = ______

_____, _____, 9

_____, _____, 9

____ + ____ = ______

____ + ____ = ______

____ + ____ = ______

____ + ____ = ______

____ – ____ = ______

____ – ____ = ______

____ – ____ = ______

____ – ____ = ______

2. Play the “9 Out” card game.

118

3. Write the addition facts with 9 and memorize them!

0 + _____ = 9

or

____ + 0 = 9

1 + _____ = 9

or

____ + 1 = 9

2 + _____ = 9

or

____ + ____ = 9

3 + _____ = 9

or

____ + ____ = 9

4 + _____ = 9

or

____ + ____ = 9

4. Find the missing numbers. a.

b.

c.

d.

9 – 5 = _____

2 + _____ = 9

_____ + 1 = 9

9 – _____ = 1

9 – 3 = _____

1 + _____ = 9

_____ + 3 = 9

9 – _____ = 0

9 – 6 = _____

7 + _____ = 9

_____ + 5 = 9

9 – _____ = 2

9 – 8 = _____

8 + _____ = 9

_____ + 7 = 9

9 – _____ = 4

5. Fill in the missing numbers. Then draw a line between the facts that are from the same fact family.

7 + _____ = 9

0 + _____ = 9

_____ + 8 = 9

9 – 3 = _____

9 – _____ = 3

9 – _____ = 6

9 – 1 = _____

5 + _____ = 9

_____ + 2 = 9

9 – _____ = 9

9 – 2 = _____

9 – _____ = 4

4 + _____ = 9

9 – _____ = 1

_____ + 0 = 9

119

6. First add and subtract. Don't write answers in the box—just think them in your mind! Then compare and write < , > , or = in the box. a.

8

10 – 3

b.

9

d.

6+2

8+2

e.

10 – 1

g.

5–2

4–2

h.

8+0

9+3

c.

8–6

6+3

10

f.

8–4

8–5

8–0

i.

9–1

9+1

7. Subtract this way! a.

9 –5

b.

c.

9 –4

d.

9 –6

8 –2

e.

9 –2

f.

8. If the answer is 6 or 7, color the box blue. If the answer is 8 or 9, color the box red. And color the rest of the boxes yellow.

9–3

4+6

9–0

4+6

8–1

2+5

9–5

4+4

4–2

5+1

9–2

3+7

10 – 2

10 + 0

7–1

4+2

7–3

6+3

3–1

3+3

6–0

1+1

8–0

3+2

10 – 4

3+4

8–3

2+7

7–6

7+0

1+6

2+8

10 – 1

2+2

7–0

120

8 –3

Addition and Subtraction Facts with 10 1. Write the fact families in which the sum is ten.

10, 0, 10

9, 1, 10

____, ____, 10

9 + _____ = 10

8 + _____ = 10

_____ + _____ = 10

_____ + _____ = 10

_____ + _____ = 10

10 – 10 = 0

10 – 9 = _____

10 – ____ = _____

10 – ____ = _____

10 – ____ = _____

10 – ____ = _____

____, ____, 10

____, ____, 10

____, ____, 10

____ + ____ = _____

____ + ____ = _____

10 + 0 = 10

7 + ____ = 10 ____ + ____ = _____

____ + ____ = _____

10 – _____ = ____

_____ – ____ = ____

_____ – ____ = ____

_____ – ____ = ____

2. Play the “10 Out” card game.

121

_____ – ____ = ____

3. Write the addition facts with 10 and memorize them!

0 + _____ = 10

or

_____ + 0 = 10

1 + _____ = 10

or

_____ + 1 = 10

2 + _____ = 10

or

_____ + _____ = 10

3 + _____ = 10

or

_____ + _____ = 10

4 + _____ = 10

or

_____ + _____ = 10

5 + _____ = 10 4. Find the missing numbers. a.

b.

c.

10 – 3 = _____

0 + _____ = 10

10 – _____ = 7

10 – 6 = _____

7 + _____ = 10

10 – _____ = 2

10 – 2 = _____

9 + _____ = 10

10 – _____ = 4

5. Fill in. Then draw a line between the facts that are from the same fact family.

6 + _____ = 10

0 + _____ = 10

_____ + 5 = 10

10 – 5 = _____

8 + _____ = 10

10 – _____ = 6

10 – 1 = _____

10 – _____ = 3

_____ + 2 = 10

10 – 2 = _____

5 + _____ = 10

10 – _____ = 7

10 – _____ = 10

10 – 4 = _____

_____ + 10 = 10

7 + _____ = 10

9 + _____ = 10

10 – 9 = _____

122

6. Write an addition sentence and a subtraction sentence for these word problems. Remember, you can always draw a picture of the situation to help you! a. Sarah has six coins in her piggy bank. Elisa has two coins in hers.

Today Elisa found three coins on the ground. Now who has more coins? How many more?

b. Dad had one box of nails at home, and then he bought six more boxes of nails.

The next day he gave one box to the neighbor. How many boxes of nails does Dad have now?

c. You have six dollars and I have three.

Can we together buy a meal that costs \$8? If yes, is there any money left over, and how much?

If no, how much more money would we need?

d. You have three dollars and I have five.

Can we together buy a meal that costs \$10? If yes, is there any money left over, and how much?

If no, how much more money would we need?

123

7. More missing numbers! a.

b.

c.

10 – 1 = _____

8 + _____ = 10

_____ + 7 = 10

10 – 8 = _____

6 + _____ = 10

_____ + 10 = 10

10 – 0 = _____

2 + _____ = 10

_____ + 6 = 10

10 – 4 = _____

5 + _____ = 10

_____ + 8 = 10

8. Let's not forget our 7's and 6's! a.

b.

c.

d.

7 – 3 = _____

7 – 2 = _____

6 – 1 = _____

6 – 2 = _____

7 – 5 = _____

7 – 4 = _____

6 – 3 = _____

6 – 4 = _____

7 – 7 = _____

7 – 6 = _____

6 – 5 = _____

6 – 6 = _____

represents a number, and represents another number. Solve what they are in each case (case a, case b, and case c). Guess and check! a.

b.

c.

+

= 10

+

= 10

+

= 10

=2

=6

=0

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Adding and Subtracting Many Numbers When you add three numbers, you can add them in any order you wish. You can add the first two numbers first:

Or you can add the last two numbers first:

1 + 5 +2 \ / 6 + 2= 8

1 +5 + 2 \ / 1 + 7 = 8

Or you can add the first and the last number first:

It doesn't matter in which order you add multiple numbers. 1. Add. a.

1 + 2 + 3 = _____

b.

4 + 1 + 1 = _____

c.

2 + 5 + 3 = _____

1 + 7 + 2 = _____

3 + 0 + 2 = _____

1 + 6 + 2 = _____

6 + 1 + 3 = _____

3 + 3 + 2 = _____

3 + 1 + 4 = _____

5 1 + 4

b.

3 1 + 4

c.

2 2 + 4

d.

7 1 + 1

e.

4 0 + 3

f.

2 6 + 2

g.

1 1 + 8

h.

3 2 + 4

i.

7 2 + 1

j.

4 1 + 4

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Subtract two numbers this way:

7 –1– 2 \ / 6 – 2 = 4 First subtract 7 – 1. That's 6. Then subtract 6 – 2. 3. Do two subtractions. You can cover the circles in the pictures to help. b.

a.

c.

8 – 2 – 3 = _____

9 – 3 – 1 = _____

10 – 5 – 3 = _____

8 – 5 – 2 = _____

9 – 4 – 2 = _____

10 – 6 – 2 = _____

8 – 1 – 3 = _____

9 – 2 – 5 = _____

10 – 1 – 4 = _____

4. Solve. You can draw pictures to help. a. Mary had ten cookies. She gave two to her

brother, and two to her sister. How many does she have left? b. Seven birds were in the tree. Three flew away.

After a while, one more flew away. How many birds are left in the tree? c. Three cars were in the parking lot. Then, three

more cars drove in. After that, two more cars drove in. How many cars are there now? d. Jack had \$5. His mom gave him \$1,

and his dad gave him \$2. How many dollars does Jack have now?

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5. Do some more subtraction. a.

b.

c.

7 – 2 – 3 = _____

9 – 7 – 1 = _____

7 – 5 – 1 = _____

9 – 2 – 6 = _____

9 – 3 – 3 = _____

10 – 4 – 4 = _____

8 – 5 – 1 = _____

6 – 2 – 2 = _____

10 – 6 – 1 = _____

These (

) symbols are called parentheses. Solve what is inside the parentheses first. First add 1 + 5. Then subtract.

First subtract 5 – 2. Then add.

(1 + 5) – 2 \ / 6 – 2= 4

3 + (5 – 2) \ / 3 = 6 3 +

6. The parentheses show what numbers to add or subtract first. a.

(10 – 2) – 2 8

d.

b.

e.

10 – ____ = ____ g.

1 + (5 – 4) 1 + ____ = ____

c.

____ + 2 = ____

– 2 = ____

10 – (2 – 2)

(9 – 5) + 2

9 – (5 + 2)

____ – 2 = ____ f.

9 – ____ = ____ h.

9 – (0 + 8) 9 – ____ = ____

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(3 + 5) – 2

3 + (5 – 2) 3 + ____ = ____

i.

9 – (9 – 2) 9 – ____ = ____

7. Solve the subtraction in the parentheses first. Compare the two problems and their results. a.

b.

c.

10 – (3 – 2) = _____

7 – (4 – 3) = _____

8 – (6 – 1) = _____

(10 – 3) – 2 = _____

(7 – 4) – 3 = _____

(8 – 6) – 1 = _____

8. Match the addition problems to the right pictures and solve them. a.

3 + 3 + 3 = ______

b.

2 + 2 + 2 + 2 = ______

c.

4 + 4 + 4 = ______

d.

2 + 2 + 2 = ______

e.

3 + 3 + 3 + 3 = ______

f.

1 + 1 + 1 + 1 + 1 = ______

9. Match the subtraction problems to the right pictures. a.

8–2–2–2–2=0

b.

8– 4 –4=0

c.

6–2–2–2=0

d.

6–3–3=0

Here are some difficult problems with four numbers!

4 + 3 + 1 + 2 = _____

10 – 1 – 2 – 1 = _____

8 – 4 – 1 – 2 = _____

5 + 1 + 1 + 3 = _____

9 – 3 – 2 – 1 = _____

4 + 4 + 1 + 1 = _____

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Review — Facts with 6, 7, and 8 1. Write the addition facts with 6, 7, and 8.

0 + _____ = 6

0 + _____ = 7

0 + _____ = 8

1 + _____ = 6

1 + _____ = 7

1 + _____ = 8

_____ + _____ = 6

_____ + _____ = 7

_____ + _____ = 8

_____ + _____ = 6

_____ + _____ = 7

_____ + _____ = 8

_____ + _____ = 6

_____ + _____ = 7

_____ + _____ = 8

5 + _____ = 6

5 + _____ = 7

_____ + _____ = 8

6 + _____ = 6

6 + _____ = 7

_____ + _____ = 8

7 + _____ = 7

7 + _____ = 8 8 + _____ = 8

2. For each “how many more” problem, write a subtraction using the same numbers. Solve. a.

4 + _____ = 6

_____ – _____ = _____ d.

4 + _____ = 8

_____ – _____ = _____ g.

5 + _____ = 6

_____ – _____ = _____

b.

2 + _____ = 6

_____ – _____ = _____ e.

3 + _____ = 8

_____ – _____ = _____ h.

3 + _____ = 7

_____ – _____ = _____

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c.

6 + _____ = 7

_____ – _____ = _____ f.

7 + _____ = 8

_____ – _____ = _____ i.

2 + _____ = 7

_____ – _____ = _____

3. Complete. Then draw a line to connect the facts from the same fact family.

_____ – 5 = 1

7 – 5 = _____

8 – 3 = ______

2 + _____ = 7

_____ + 2 = 6

5 + _____ = 7

8 – _____ = 3

6 – 1 = _____

1 + 5 = _____

_____ + 2 = 8

5 + _____ = 8

8 – 6 = ______

6 – 4 = _____

8 – _____ = 6

2 + 4 = ______

4. Complete. Then draw a line to connect the facts from the same fact family.

3 + _____ = 7

_____ + 6 = 7

8 – _____ = 7

6 – _____ = 3

_____ – 7 = 1

1 + 6 = _____

_____ + 1 = 8

3 + 3 = _____

3 + _____ = 6

_____ – 4 = 4

4 + _____ = 7

8 – 4 = _____

7 – 1 = _____

8 – _____ = 4

7 – _____ = 4

+ What numbers can go into the squares? All the numbers are less than 10.

= 8 –

+ = 0

+ +

= 6 = 2

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= 7 –

– = 8

= 4 = 3

Review — Facts with 9 and 10 1. Write addition and subtraction facts with 9 and 10. a.

b.

c.

d.

0 + _____ = 9

1 + _____ = 10

10 – _____ = 9

9 – _____ = 9

1 + _____ = 9

2 + _____ = 10

10 – _____ = 8

9 – _____ = 8

2 + _____ = 9

3 + _____ = 10

10 – _____ = 7

9 – _____ = 7

3 + _____ = 9

4 + _____ = 10

10 – _____ = 6

9 – _____ = 6

4 + _____ = 9

5 + _____ = 10

10 – _____ = 5

9 – _____ = 5

2. Match the addition problems to the right pictures and solve them. a.

2 + 3 + 3 = ______

b.

3 + 2 + 2 = ______

c.

1 + 2 + 2 = ______

d.

3 + 4 + 2 = ______

e.

3 + 3 + 3 = ______

f.

2 + 2 + 2 = ______

3. Solve. The parentheses show what numbers to add or subtract first. a.

10 – (4 – 2) 10 – ____ = ____

b.

9 – (2 + 2) 9 – ____ = ____ 131

c.

5

+ (4 – 2)

____ + ____ = ____

4. Fill in the missing numbers. Draw a line to connect the facts that are from the same fact family.

9 – _____ = 7

_____ + 2 = 9

9 – _____ = 5

9 – _____ = 6

8 + _____ = 9

9 – 6 = _____

9 – 1 = _____

_____ + 5 = 9

9 – _____ = 2

9 – _____ = 4

3 + _____ = 9

_____ + 8 = 9

5. a. Draw a line to connect each pair of numbers that add up to 9. Which number is left by itself?

0

7 2

1

b. Draw a line to connect each pair of

numbers that add up to 10. Which number is left by itself?

2 8

3 5

2

6 9

7

1 4

3

4

8

9

6 9

5

4

0

2

5

1 7

10

3 6

8

1 9

7

3 6

8 5

6. Fill in the missing numbers. Draw a line to connect the facts that are from the same fact family.

10 – _____ = 8

_____ + 9 = 10

_____ + 1 = 10

10 – _____ = 5

4 + _____ = 10

10 – 5 = _____

10 – _____ = 1

5 + _____ = 10

10 – 4 = _____

10 – 3 = _____

2 + _____ = 10

_____ + 3 = 10

10 – 6 = _____

_____ + 7 = 10

10 – _____ = 8

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7. Solve. a. Millie has two boxes of crayons. Ken has seven boxes.

How many more boxes does he have than she has?

b. Mike has three yellow toy cars, four blue cars, and

three red cars. How many cars does he have in total?

c. There were four birds in a tree. Four more flew in.

How many birds are there now?

Later, five of them flew away. How many birds are there now?

d. Elisa knows she has ten crayons. She can only find four.

How many are missing?

e. A ten-piece puzzle has two pieces missing.

How many pieces are there now?

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