Matholia Mathematics Primary 2A by Blue Ring Media Pty Ltd

M AT H E M AT I C S Workt ext

for learners 7 - 8 years old

Aligned to the US Common Core State Standards

Matholia Mathematics Matholia Mathematics is a series covering levels K-6 and is fully aligned to the United States Common Core State Standards (USCCSS). Each level consists of two books (Book A and Book B) and combines textbook-style presentation of concepts as well as workbook practice. Central to the USCCSS is the promotion of problem-solving skills and reasoning. Matholia Mathematics achieves this by teaching and presenting concepts through a problem-solving based pedagogy and using the concrete-pictorial-abstract (CPA) approach. Learners acquire knowledge and understanding of concepts through a guided progression beginning with concrete examples and experiences which then flow into pictorial representations and finally mastery at the abstract and symbolic level. This approach ensures that learners develop a fundamental understanding of concepts rather than answering questions by learned procedures and algorithms. Key features of the series include:

Anchor Task

Numbers to 1000

Anchor Task

Open-ended activities serve as the starting point for understanding new concepts. Learners engage in activities and discussions to form concrete experiences before the concept is formalized.

141 140

Let’s Learn Concepts are presented in a clear and colorful manner. Worked problems provide learners with guided step-by-step progression through examples. Series mascots provide guidance through helpful comments and observations when new concepts are introduced.

2-Step Word Prob lem

Let’s Learn

Blake has 12 toy cars. Dominic has 3 more How many toy cars toy cars than Blake. do they have altoge ther?

In January, Jorda n saves $36. In February, he saves $15 more than in January. How much mone y did he save in total?

First, let’s find how many cars I have.

Step 1

Step 1 Find the amount of money Jordan saves in $36

Blake’s cars

Step 2

Blake’s cars

122

February

To find the numb er of cars that Domin ic has, we add. 12 + 3 = 15 Dominic has 15 toy cars. Now we can find the total number of toy cars.

Dominic’s cars

36 + 15 = 51 Jordan saves $51

ic have 27 toy cars

6 1 5 5 1

in February.

Step 2 Add the amounts togeth $36

er to find the total. $51

January

February ?

altogether.

12 + 15 = 27 Blake and Domin

February.

$15

January

Dominic’s cars

36 + 51 = 87 Jordan saved $87 in total.

3 6 + 5 1 8 7

123

Let’s Practice

Compare the lengths Fill in the blanks.

Learners demonstrate their understanding of concepts through a range of exercises and problems to be completed in a classroom environment. Questions provide a varying degree of guidance and scaffolding as learners progress to mastery of the concepts.

of the objects. clarinet

of the objects Compare the lengths Fill in the blanks.

60 cm

violin 36 cm

trumpet

88 cm (a) The trumpet is (b) The trumpet is

cm.

has a length of (a) The toothpaste cm. length of (b) The comb has a cm. has a length of (c) The toothbrush toothpaste. cm shorter than the is comb The (d) the comb. than longer cm is (e) The toothbrush is the longest. (f) The is the shortest. (g) The 210

At Home

cm longer than the

clarinet.

cm longer than the

violin.

clarinet. cm shorter than the

is the longest.

(d) The

is the shortest.

(e) The (f) Arrange the objects

from the longest to

21 1

At Home Halle asked her friend s their favorite fruit. She made a table from the data she collected. What’s your favorite fruit? Apples! Mangoes!

Make a bar graph from the table. Answer the questi ons and use the space to show Class 2A’s Favor Water

Milk

Orange juice

Apple juice

ite Fruits

Mango

Apple

Banana

Peach

Help Halle make a

ite Drink

bar graph from the

Number of peopl e

My Friends’ Favor

your working.

ite Drink

Class 2A’s Favor

Further practice designed to be completed without the guidance of a teacher. Exercises and problems in this section follow on from those completed under Let’s Practice.

shortest.

table. ite Fruits

Fruit

My Friends’ Favor

Type of drink Friends

296

Hands On Play this game in groups of

Hands On Learners are encouraged to ‘learn by doing’ through the use of group activities and the use of mathematical manipulatives.

3 or 4.

297

on your table. Place different 3-D shapes by saying the number of faces, One player describes a shape edges and vertices. This 3-D shape has 2 faces.

1. 2.

The first player to pick the describes the next shape.

correct shape is the winner

and

It’s a cylinder!

Solve it! 1.

Solve It!

A beetle is crawling around a garden. It starts at position A and crawls for 36 m. At which position does the beetle stop? D 9m

80 3m

Activities that require learners to apply logical reasoning and problem-solving. Problems are often posed which do not have a routine strategy for solving them. Learners are encouraged to think creatively and apply a range of problem-solving heuristics.

The beetle stops at position 2.

Jordan is running around the soccer field. He starts at position A and runs for 400 m. At which position does he stop? D

100 m

50 m

Jordan stops at position

. 215

Looking Back Consolidated practice where learners demonstrate their understanding on a range of concepts taught within a unit.

(b)

Looking Back Write the number in numerals and words.

(a)

Fill in the blanks. Write the number in numerals and words.

Tens

Hundreds

Ones

(b)

Fill in the blanks. +

500 +

tens

hundreds

(a)

+9=

ones

Write the number. The digit 9 is in the ones place. The digit 8 is in the hundreds place. The digit 2 is in the tens place. 243

242

iii

Contents 1 Addition and Subtraction to 20

2 4 14 20 28 34 37

2 Addition and Subtraction to 100

60 65 74 84 90 100 108 114 122

3 Numbers to 1,000

140 142 158 178 198 216 229

Adding by Counting On Adding Using Doubles and Near Doubles Adding by Making 10 Subtraction by Counting Back Subtraction Using Double Facts Subtraction by Making 10

Addition Without Regrouping Addition With Regrouping Adding Multiple Two-digit Numbers 1-Step Addition Word Problems Subtraction Without Regrouping Subtraction With Regrouping 1-Step Subtraction Word Problems 2-Step Word Problems

Hundreds, Tens and Ones Place Value to 1,000 Comparing Numbers to 1,000 Odd and Even Numbers Skip Counting and Number Patterns Repeated Addition and Arrays

4 Addition to 1,000

Adding 100s and 10s Addition Without Regrouping Addition With Regrouping

248 250 258 272

Addition and Subtraction to 20

Anchor Task

–3

–4

Adding by Counting On Let’s Learn How many apples are there in all? Let’s count on. Count on from the greater number.

10 7 7 + 4 = 11 There are 11 apples in all. Find 9 + 5. Count on the number line to add.

9 + 5 = 14 4

How many books are there in all? Count on to find 15 + 4.

15 + 4 = 19 There are 19 books in all. Find 3 + 15. Count on your fingers. 15, 16, 17, 18.

Count on from 15 on a number line.

3 + 15 = 18

Let’s Practice 1. Add by counting on. Write an addition equation. (a)

(b)

(c)

(d)

2. Add by counting on. Write an addition equation. (a)

(b) (c)

(d)

3. Use the number line to count on from the greater number. Complete the equation.

12 13 14 15 16 17 18 19 20

(a) 6 + 5 =

(b) 3 + 8 =

(d) 5 + 9 =

(e) 4 + 9 =

(f) 5 + 7 =

(g) 7 + 3 =

(h) 9 + 2 =

4. Use the number line to count on from the greater number. Complete the equation. 6

12 13 14 15 16 17 18 19 20

(a) 5 + 11 =

(b) 10 + 5 =

(d) 11 + 3 =

(e) 14 + 4 =

(f) 15 + 4 =

(g) 18 + 2 =

(h) 17 + 3 =

(i) 4 + 15 =

(j) 12 + 4 =

5. Add. (a) (b) (c) 1 5 1 1 1 2 + 3 + 1 + 5

(d) (e) (f) 1 4 1 8 + 2 + 1

1 3 + 2

(g) (h) (i) 1 4 1 1 + 5 + 5

1 5 + 2

Solve It! Which country is Steve from? Add. Then write the letters in the spaces below.

(a) 2 + 9 =

(b) 8 + 4 =

(d) 9 + 5 =

(e) 8 + 5 =

(f) 12 + 4 =

(g) 16 + 3 =

(h) 15 + 5 =

(i) 1 + 14 =

17 9

At Home 1. Use the number line to count on from the greater number. Complete the equation. 6

(a) 5 + 7 =

12 13 14 15 16 17 18 19 20

(b) 5 + 9 =

(d) 13 + 6 =

(e) 2 + 13 =

(f) 15 + 2 =

(g) 8 + 5 =

(h) 14 + 3 =

(i) 16 + 4 =

(j) 4 + 7 =

2. Add. (a) (b) (c) 1 1 1 5 1 2 + 3 + 4 + 3

(d) (e) (f) 1 7 1 0 + 1 + 6

1 2 + 2

(g) (h) (i) 1 2 1 3 + 1 + 5

1 6 + 3

3. Color the ten frames to find the missing addend. Complete the equation. (a)

7 +

= 11

(b)

9 +

= 14

(c)

12 +

= 17

(d)

16 + 4.

= 20

Complete the equations.

(a) 8 + (c) (e) 16 +

= 12 (b) 9 + + 4 = 13 (d) 15 + = 18 (f)

(g)

+ 4 = 17 (h) 14 +

(i)

+ 2 = 20 (j)

= 14 = 19 + 3 = 19 = 15 + 11 = 16 11

Solve It! 1. Fill in the missing numbers. (a)

Look! 3 + 7 = 10 Can you see a pattern?

14 4 1

10 3

(b)

(c)

5 0

(d)

(e)

15 12 12

4 13

2. Fill in the missing numbers. (a)

5 and 11 is 16.

11 16

(b)

(c)

13 8

(d)

(e)

2 20 4

4 13

Adding Using Doubles and Near Doubles Let’s Learn We can use doubles to add. A double is when both numbers we are adding are the same. Double 6 6 + 6 = 12

Double 7 7 + 7 = 14

Double 8 8 + 8 = 16

Double 9 9 + 9 = 18

Double 10 10 + 10 = 20

We can use near doubles to add. Let’s find 8 + 9. 8 + 9 is the same as double 8 and one more.

8 + 9 = 16 + 1 = 17 Let’s use near doubles to find 8 + 7. 8 + 7 is the same as double 8 and one less.

8 + 7 = 16 – 1 = 15

Let’s Practice 1. Use doubles and near doubles to complete the equations. (a)

6+6=

6+7=

6+5=

7+7=

7+6=

7+8=

5+5=

5+6=

5+4=

(b)

(c)

(d)

8+8=

8+9=

8+7=

9+9=

9+8=

9 + 10 =

(e)

Use doubles and near doubles to complete the equations.

(a) 8 + (c) (e) 6 +

= 16 (b) 6 + + 7 = 15 (d) 7 + = 11 (f)

(g)

+ 9 = 18 (h) 8 +

(i)

+ 9 = 19 (j)

= 12 = 14 + 7 = 13 = 14 + 10 = 20 17

At Home 1. Use doubles and near doubles to complete the equations. (a) 8 + 8 =

(b) 8 + 9 =

(d) 9 + 10 =

(e) 9 + 8 =

(f) 6 + 7 =

2. Add. (a) (b) (c) 5 7 1 0 + 4 + 7 + 9

(d) (e) (f) 1 0 9 + 1 0 + 9

Use doubles and near doubles to complete the equations.

(a) 8 + (c) (e) 5 +

8 7

= 15 (b) 6 + + 10 = 20 (d) 8 + = 11 (f)

= 13 = 17 + 7 = 16

Solve It! Sophie sorted her blocks into two piles. She wanted a quick way to find out how many blocks she had.

(a) Her first pair of piles had 8 blocks each. Draw the blocks and show how many she had. How many did she have in all?

Sophie has

blocks in all.

(b) When she looked under the bed, she found 3 more blocks. Show the new piles she had. How many did she have in all now?

Sophie has

blocks in all. 19

Adding by Making 10 Let’s Learn Halle has 8 flowers. Chelsea gives her 7 more flowers. How many flowers does Halle have in all? 8

Make a group of 10 and add the ten and ones. 10

10 + 5 = 15 Halle has 15 flowers in all.

8 + 7 = 10 + 5 = 15 2 5

There are 9 orange cubes and 5 purple cubes. How many cubes are there altogether?

10 10 + 4 = 14 There are 14 cubes altogether.

9 + 5 = 10 + 4 = 14 1 4

Find 7 + 6.

7 + 6 = 13

7 + 6 = 10 + 3 = 13 3 3 21

How many cookies in all? Let’s find 12 + 7.

12 Make a group of 10 and add the ten and ones.

2+7=9

12 + 7 = 10 + 2 + 7 = 10 + 9 19 10 = 2 12 + 7 = 19 Find 13 + 5. 13

10 13 + 5 = 18 22

8 13 + 5 = 10 + 8 = 18 10 3

Let’s Practice 1. Make a ten. Fill in the blanks. (a)

8+6=

= 10

10 +

= 14

(b)

7+5=

(c)

9+8=

(d)

8+7=

2. Make a ten. Fill in the blanks. (a) 5 + 8 =

(b) 9 + 5 =

(d) 7 + 8 =

(e) 9 + 7 =

(f) 8 + 9 =

(g) 4 + 7 =

= 10

10 +

= 13

3. Make a ten. Fill in the blanks. 13 + 4

(a)

10 13 + 4 = 10 +

= (b)

14 + 5 =

14 + 5

= (c)

12 + 6 =

12 + 6

= (d)

13 + 7 =

13 + 7

4. Make a ten. Fill in the blanks. (a) 15 + 4 = 10 + = (b) 12 + 7 =

= (c) 14 + 6 =

= (d) 13 + 6 =

= (e) 11 + 8 =

= (f) 14 + 4 =

= (g) 12 + 5 = =

At Home 1. Complete the equations. (a) 7 + 9 =

(b) 11 + 9 =

(d) 13 + 5 = (f) 9 + 8 =

2. Add. (a) (b) (c) 1 5 7 + 4 + 8

1 4 + 4

(d) (e) (f) 1 2 1 4 + 6 + 5

1 2 + 5

Complete the equations.

(a) 9 + (c)

= 15 (b) 6 + + 8 = 17 (d) 3 +

(e) 5 +

= 12 (f)

(g) 6 +

= 18 (h) 6 +

(i)

+ 15 = 17 (j) 8 +

= 19 = 17 + 7 = 18 = 15 = 20

Subtraction by Counting Back Let’s Learn Sophie has 12 flowers. She gives her friend 4 flowers. How many flowers does she have left?

Count back 4 flowers.

12 – 4 = 8 Sophie has 8 flowers left. There are 14 chocolates in a box. Blake eats 5 chocolates. How many chocolates are left? Let’s count back from 14 to find the answer. 8

14 – 5 = 9 There are 9 chocolates left. 28

A butterfly lays 18 eggs. 4 eggs hatch. How many eggs did not hatch?

Let’s count back from 18. 8

18 – 4 = 14 14 of the eggs did not hatch. Find 5 less than 20 by counting back on a number line.

20 – 5 = 15

Let’s Practice 1. Count back to subtract. (a)

12 13 14 15 16

16 – 4 =

(b)

8 9 10 11 12 13

13 – 5 =

(c)

15 16 17 18 19

19 – 4 =

(d)

12 13 14 15 16 17

17 – 5 =

(e)

17 18 19 20

20 – 3 = 30

2. Complete the subtraction equation. (a)

–

(b)

3. Subtract. (a) 11 – 5 =

(b) 17 – 4 =

(d) 15 – 2 =

(e) 20 – 4 =

(f) 18 – 5 =

4. Subtract. (a) (b) (c) 1 2 1 1 1 4 – 5 – 3 – 5

(d) (e) (f) 1 7 1 3 – 2 – 4

1 9 – 5

Hands On Play this game in pairs. 1. Take 20 linking cubes, 10 in each color. 2. Now make two stories that involve subtraction, or taking away. Give them to your partner to solve.

3. Change roles and solve your partner's stories. 4. Draw pictures of the cubes to show the subtraction, and write a number sentence.

At Home 1. Use the number line to count back. Complete the equation. 6

12 13 14 15 16 17 18 19 20

(a) 11 – 2 =

(b) 12 – 3 =

(d) 16 – 4 =

(e) 17 – 3 =

(f) 20 – 5 =

(g) 18 – 2 =

(h) 20 – 1 =

(i) 18 – 5 =

(j) 19 – 3 =

2. Subtract. (a) (b) (c) 1 5 1 6 1 7 – 3 – 3 – 3

(d) (e) (f) 1 3 1 4 – 4 – 5

1 8 – 5

(g) (h) (i) 2 0 1 9 – 2 – 2

1 1 – 3

Subtraction Using Double Facts Let’s Learn Use double facts to help find 16 – 8. Double 8 is 16. 8

16 We know 8 + 8 = 16. So, we can see that 16 – 8 = 8 8

16 Double facts help with adding and subtracting mentally. Double

Adding

Subtracting

2+2=4

4–2=2

3+3=6

6–3=3

4+4=8

8–4=4

5 + 5 = 10

10 – 5 = 5

6 + 6 = 12

12 – 6 = 6

7 + 7 = 14

14 – 7 = 7

8 + 8 = 16

16 – 8 = 8

9 + 9 = 18

18 – 9 = 9

10 + 10 = 20

20 – 10 = 10

You can use number bonds to help you.

9 18

Let’s Practice Use doubles to add and subtract. Complete the equations. (a)

4 =

–

4 8

(b) +

–

(c)

(d)

(e)

At Home 1. Use doubles to add and subtract. Match the equations. (a) 5 + 5 =

18 – 9 =

(b) 9 + 9 =

10 – 5 =

(c)

6+6=

14 – 7 =

(d) 8 + 8 =

12 – 6 =

(e) 10 + 10 =

(f) 7 + 7 =

16 – 8 =

20 – 10 =

2. Subtract. (a) (b) (c) 1 8 1 4 1 2 – 9 – 7 – 6

Subtracting by Making 10 Let’s Learn We can subtract by taking away the ones and adding to a 10. There are 18 apples on a tree. Halle picks 5 apples. How many apples are left?

18 18 is 10 and 8.

8–5=3

18 – 5 = 13 10

8 – 5 =3 10 + 3 = 13 18 – 5 = 13 There are 13 apples left. 37

We can subtract by getting 10 first. A baker has 14 cupcakes. She sells 6 cupcakes. How many cupcakes does the baker have left?

First, subtract 4 to make 10. 10

14 – 6 = 8 4

14 – 4 = 10 10 – 2 = 8

14 – 6 = 8 The baker has 8 cupcakes left. 38

Then, subtract 2 from the 10.

We can also subtract from 10 first. Ethan has 13 goldfish. He gives 6 goldfish to Dominic. How many goldfish does Ethan have now? First, make a group of 10 goldfish. 13 is 10 and 3.

You cannot subtract 6 from 3. You can subtract 6 from 10. Now add 4 and 3. 4

13 – 6 = 7 10

10 – 6 = 4 4+3=7 13 – 6 = 7 Ethan has 7 goldfish now.

Let’s Practice 1. Subtract by taking away the ones and adding to the 10. Fill in the blanks and complete the equations. (a)

15 – 2 = 13

–

10 +

(b)

18 – 6 =

–

(c)

16 – 3 =

(d)

17 – 4 =

–

(e)

15 – 3 =

(f)

19 – 6 =

2. Subtract by getting 10 first. Fill in the blanks and complete the equations. (a)

14 – 5 =

–

(b)

15 – 8 =

(c)

16 – 7 =

3. Subtract by first subtracting from 10. Fill in the blanks and complete the equations. (a)

12 – 7 =

–

(b)

15 – 8 =

(c)

16 – 9 =

At Home 1. Cross out the objects to get 10 first. Complete the equations. (a)

14 – 5 =

14 – 4

10 –

(b)

16 – 9 =

–

(c)

13 – 8 =

(d)

14 – 6 =

–

(e)

13 – 6 =

(f)

17 – 9 =

2. Subtract by taking away the ones and adding to the 10. Fill in the blanks and complete the equations. (a)

(b)

(c)

(d)

(e)

18 – 4 =

17 – 4 =

16 – 5 =

19 – 6 =

19 – 4 =

8 –

10 +

= 14

–

3. Subtract by first subtracting from 10. Fill in the blanks and complete the equations. (a)

(b)

(c)

(d)

(e)

13 – 8 =

12 – 9 =

14 – 6 =

15 – 7 =

13 – 9 =

10 – 8

2 +

3 =

–

Let’s Practice Complete the number bond. Write the number fact family. (a)

6 14

= 14 14

–

= 14 14

–

(b)

–

(c)

(d)

–

(e)

(f)

Hands On Using number cards 1-10 and a one-minute timer, play Sum War. 1. Divide the pack into two, shuffled and face down. 2. Each player turns over one card. 3. Both players make as many addition sentences as they can in 1 minute. 4. If they run out of addition sentences, write as many subtraction sentences as they can. 5. When one minute is over, the player with the most sentences takes the cards. 6. Repeat until all the cards are gone.

Solve It! Ethan and Blake counted their coins. They found they had 18 coins altogether.

(a) Make two different addition and subtraction sentences showing how many coins each of them could have.

(b) If Ethan has 6 coins, how many does Blake have? Make a number bond and a number sentence showing how you know.

At Home Complete the number bond. Write the number fact family. (a)

5 12

–

(b)

–

(c)

–

(d)

–

(e)

–

(f)

–

Looking Back 1. Add by counting on. Write an addition equation. (a)

(b)

2. Use the number line to count on from the greater number. Complete the equations. 6

12 13 14 15 16 17 18 19 20

(a) 7 + 5 =

(b) 12 + 5 =

(d) 13 + 3 =

(e) 3 + 16 =

(f ) 11 + 2 =

(g) 18 + 2 =

(h) 4 + 14 =

(i) 5 + 9 =

(j) 14 + 5 =

3. Add. (a) (b) (c) 1 1 1 5 1 2 + 5 + 2 + 4

(d) (e) (f) 1 5 1 0 1 4 + 1 + 5 + 3

4. Make a ten. Fill in the blanks. (a) 6 + 8 =

(b) 9 + 8 =

5. Make a ten. Fill in the blanks. 11 + 8

11 + 8 =

6. Complete the equations. (a) 12 + 7 =

(b) 11 + 6 =

(d) 15 + 3 =

(e) 7 + 9 =

(f) 9 + 8 =

7. Add. (a) (b) (c) 1 5 7 1 3 + 2 + 4 + 6

(d) (e) (f) 1 1 1 4 + 7 + 2

1 2 + 7

Complete the equations.

(a) 9 +

= 14 (b) 6 +

(c)

= 18

+ 2 = 17 (d) 5 +

(e) 13 +

= 19 (f)

= 17 + 8 = 16

9. Use the number line to count back. Complete the equations. 6

12 13 14 15 16 17 18 19 20

(a) 11 – 3 =

(b) 14 – 6 =

(d) 13 – 7 =

10. Use doubles to add and subtract. Complete the equations. (a) +

–

(b)

(c)

11. Subtract by taking away the ones and adding to the 10. Fill in the blanks and complete the equations. (a)

18 – 4 =

–

(b)

17 – 5 =

12. Subtract by taking away the ones and adding to the 10. Fill in the blanks and complete the equations. (a)

(b)

(c)

18 – 7 =

17 – 4 =

16 – 3 =

–

13. Subtract by first subtracting from 10. Fill in the blanks and complete the equations. (a)

(b)

12 – 5 =

15 – 9 =

–

14. Subtract. (a) (b) (c) 1 5 1 7 1 3 – 2 – 4 – 6

(d) (e) (f) 1 1 1 4 – 7 – 2

1 2 – 7

15. Complete the number bond. Write the number fact family. (a)

5 12

–

(b)

–

= 59

Addition and Subtraction to 100

Remember this! How many cubes in all? Add by counting on.

9 + 5 = 14 There are 14 cubes in all. Find 13 + 5. Add by making 10.

10 13 + 5 = 18 60

8 13 + 5 = 10 + 8 = 18 10 3

Find 5 less than 20 by counting back on a number line. 8

20 – 5 = 15

Subtract by taking away the ones and adding to a 10. There are 17 apples on a tree. Halle picks 6 apples. How many apples are left?

17 17 is 10 and 7. 17 – 6 = 11 10 10

7–6=1

7–6 = 1 10 + 1 = 11

17 – 6 = 11 There are 11 apples left.

Subtract by getting 10 first. Find 15 – 7.

15 – 7 = 8 5

15 – 5 = 10 10 – 2 = 8 10

15 – 7 = 8 Subtract from 10 first. Find 13 – 6.

13 – 6 = 7 10 4

13 – 6 = 7 62

10 – 6 = 4 4+3=7

Have a go! 1. Use the number line to count on from the greater number. Complete the equation. 6

12 13 14 15 16 17 18 19 20

(a) 7 + 4 =

(b) 11 + 5 =

(d) 16 + 2 =

(e) 14 + 5 =

(f) 15 + 5 =

2. Make a 10. Fill in the blanks. (a) 9 + 7 =

(b) 8 + 9 =

3. Use the number line to count back. Complete the equation. 6

12 13 14 15 16 17 18 19 20

(a) 15 – 2 =

(b) 12 – 5 =

(d) 16 – 4 =

(e) 17 – 3 =

(f) 20 – 5 =

4. Subtract by taking away the ones and adding to the 10. Fill in the blanks and complete the equations. (a)

(b)

18 – 6 =

19 – 6 =

–

5. Subtract by getting 10 first. Fill in the blanks and complete the equations. 17 – 9 =

–

6. Subtract by first subtracting from 10. Fill in the blanks and complete the equations. (a)

(b)

15 – 8 =

13 – 9 =

–

Addition Without Regrouping Anchor Task Tens

Ones

Let’s Learn Find 45 + 4.

Count on 4 ones from 45. 46

45 43 45 46 47 48 49 50

45 + 4 = 49 Find 62 + 6.

First add the ones. Then, add the tens. 62 + 6 = 68 60

2 2+6= 8 60 + 8 = 68

62 + 6 = 68

You can also add like this.

Tens Ones

6 +

2 6 8

Find 33 + 24.

First, add the ones.

Add the tens.

Tens Ones

3 2

3 4 7

Tens Ones

3 2 5

3 4 7

33 + 24 = 57 Find 62 + 37. Add the ones. Tens Ones

6 3

2 7 9

Add the tens. Tens Ones

6 3 9

2 7 9

62 + 37 = 99 67

Let’s Practice 1. Fill in the missing numbers. Complete the equation. (a) 18 21 + 3 =

(b) 42 43 + 4 = (c) 71 75 + 2 = (d) 91 91 + 5 = (e) 60 62 + 4 =

2. Complete the equations. (a) 72 + 3 =

(b) 2 + 77 =

(c)

(d) 72 + 4 =

54 + 2 =

(e) 4 + 34 =

(f) 5 + 61 =

(g) 85 + 4 =

(h) 93 + 4 =

3. Add. (a) (b) 3 2 + 4

(c)

(d) 4 4 + 5

(e) (f) 8 3 + 1

(g) (h) 2 6 + 2

7 2

6 3

2 5

3 4

4. Add. (a) (b) 3 2 + 1 4

(c)

(d) 4 4 + 3 3

(e) (f) 4 6 + 4 1

(g) (h) 2 3 + 4 2

5. Complete the equations. (a) 23 + 13 =

(b) 42 + 15 =

(d) 21 + 46 =

(e) 71 + 14 =

(f) 66 + 23 =

(g) 85 + 11 =

(h) 34 + 64 =

1 1

5 2

6 2

6 3

5 3

2 5

8 1

3 4

6. Fill in the blanks. Add. (a) 18 + 31 =

(e) 63 + 36 =

(g) 44 + 45 =

(b) 45 + 14 =

(d) 13 + 85 =

(f) 24 + 53 =

(h) 26 + 62 =

Solve It! Riley and Halle wanted to make sure they have enough counters for a game. They have 23 blue counters and 25 green ones.

(a)

Show the total number of counters in two of these ways: • a drawing • using number bonds • using addition with a place value chart

(b) If the game needs a total of 45 counters, do they have enough counters? Tell how you know.

At Home 1. Complete the equations. (a) 23 + 13 =

(b) 42 + 15 =

(c)

(d) 21 + 46 =

35 + 34 =

(e) 12 + 72 =

(f) 64 + 24 =

2. Fill in the blanks. Add. (a) 18 + 31 =

(b) 45 + 14 =

(e) 62 + 36 =

(d) 13 + 85 =

(f) 24 + 53 =

Addition With Regrouping Let’s Learn Add 45 and 7. Tens

Ones

Tens Ones

4 +

5 7

First, add the ones. 5 ones + 7 ones = 12 ones. Regroup the ones. 12 ones = 1 ten 2 ones Tens

Tens Ones

Ones

5 7 2

Tens

Tens Ones

Ones

5 7

Add the tens. 4 tens + 1 ten = 5 tens 45 + 7 = 52 74

Add 16 and 28. Tens

Tens Ones

Ones

1 2

6 8

6 ones + 8 ones = 14 ones. Regroup the ones. 14 ones = 1 ten 4 ones Tens

Tens Ones

Ones

1 2

6 8 4

Tens

Tens Ones

Ones

1 2

6 8

Add the tens. 1 tens + 2 tens + 1 ten = 4 tens 16 + 28 = 44

Let’s Practice 1. Fill in the blanks. (a) Find 17 + 4.

Add the ones.

ones +

Regroup the ones. Add the tens.

ones =

ones = ten +

ones

ten

ten =

one tens

17 + 4 = (b) Find 66 + 6.

Add the ones. Regroup the ones. Add the tens. 66 + 6 =

ones +

ones =

ones

ten

ones

ones = tens +

ten =

tens

2. Fill in the blanks. Add. (a) 18 + 3 =

(e) 6 + 44 =

(g) 68 + 9 =

(b) 17 + 9 =

(d) 34 + 9 =

(f) 7 + 75 =

(h) 88 + 8 =

3. Fill in the blanks. (a) Find 45 + 18.

Add the ones. Regroup the ones. Add the tens.

ones +

ones =

ones = tens +

ones

ten ten =

ones tens

45 + 18 = (b) Find 28 + 56.

Add the ones. Regroup the ones. Add the tens. 28 + 56 =

ones +

ones =

ones

ten

ones

ones = tens +

ten =

tens

4. Fill in the blanks. Add. (a) 12 + 18 =

(e) 38 + 38 =

(g) 66 + 17 =

(b) 24 + 19 =

(d) 54 + 27 =

(f) 15 + 55 =

(h) 47 + 47 =

At Home 1. Add. (a) (b) 3 5 + 5

(c)

(d) 4 4 + 7

6 7

6 9

2. Fill in the blanks. Add using columns. (a) 32 + 8 =

(b) 43 + 8 =

(d) 49 + 9 =

3. Add. (a) (b) 1 5 + 1 6

(c)

(d) 5 9 + 2 9

2 1

8 7

3 1

6 4

4. Fill in the blanks. Add using columns. (a) 26 + 36 =

(b) 28 + 18 =

(d) 75 + 15 =

Hands On Materials • One set of problem cards per pair of partnered students • Place value chart • Counters or Rekenrek Instructions One partner takes a card and reads the problem. The other partner models the problem using the counters and place value chart or Rekenrek. Work together to find the answer.

Finally, complete the equation. (a) 24 + 15 =

(b) 34 + 15 =

(d) 28 + 15 =

(e) 28 + 25 =

(f) 17 + 48 =

Solve It! Sophie bakes 3 types of cookies for her party. She bakes 24 pistachio cookies, 38 chocolate chip cookies, and 18 sugar cookies. Her sister eats 6 cookies before the party starts. How many cookies does Sophie have for her party when it starts? Show how you know with a drawing along with computations.

Adding Multiple Two-digit Numbers Let’s Learn Let’s find 23 + 16 + 45.

Tens Ones

First, align the ones and tens.

Add the ones. Remember to regroup the ones.

2 1 4

3 6 5

Tens Ones

Finally, add the tens.

3 6 5 4

2 1 4

Tens Ones

+ 23 + 16 + 45 = 84

2 1 4 8

3 6 5 4

Find 36 + 22 + 28 + 13. Tens Ones

3 2 2 1

6 2 8 3

36 + 22 + 28 + 13 = 99 84

Tens Ones

3 2 2 1

6 2 8 3 9

Tens Ones

3 2 2 1 9

6 2 8 3 9

Let’s Practice 1. Add. (a) (b) 1 1 2 5 + 4 6

(e) (f) 6 1 1 9 + 1 0

(g) (h) 3 3 2 2 + 3 9

(i) (j) 1 2 6 1 + 1 8

3 1 3

9 2 3

2 5 1

7 5 2

2 3 2

7 4 8

5 1 2

6 9 2

2 2 3

1 7 8

2. Add. (a) (b) 1 1 2 2 4 7 + 1 6

(e) (f) 2 1 1 0 4 8 + 1 8

(g) (h) 3 2 1 1 2 8 + 1 3

(i) (j) 4 5 2 6 1 5 + 1 2

2 3 1 2

5 4 7 1

3 1 2 2

1 3 9 5

1 1 2 3

7 8 3 1

3 2 1 1

4 6 0 7

1 1 2 2

2 3 9 2

At Home 1. Fill in the blanks. Add using columns. (a) 16 + 36 + 45 =

(e) 50 + 15 + 18 =

(b) 35 + 27 + 20 =

(d) 14 + 25 + 38 =

(f) 43 + 29 + 22 =

2. Fill in the blanks. Add using columns. (a) 11 + 16 + 25 + 20 =

(e) 16 + 16 + 13 + 25 =

(b) 31 + 27 + 13 + 11 =

(d) 12 + 39 + 21 + 15 =

(f) 26 + 17 + 21 + 22 =

Solve It! Blake stored his books on three shelves. The top shelf had 19 books. The middle shelf had 12 more books than the top shelf. The bottom shelf had 5 more books than the middle shelf. Find out how many books were on each shelf and how many books he had altogether.

1-Step Addition Word Problems Let’s Learn A baker makes 42 chicken pies and 37 pumpkin pies. How many pies does the baker bake altogether?

chicken pies

pumpkin pies ?

Add 42 and 37 to find the total.

4 2 + 3 7 7 9

42 + 37 = 79 The baker bakes 79 pies altogether. 90

Keira and Riley go shopping. Keira has $56. Riley has $15 more than Keira. How much money does Riley have? $56

$15

Keira’s money

Riley’s money

6 1 5

56 + 15 = 71 Riley has $71.

Halle and Sophie visit the zoo. Halle takes 68 photographs. Sophie takes 27 photographs. How many photographs do Halle and Sophie take in total?

Halle’s photos

Sophie’s photos ?

68 + 27 = 95 Halle and Sophie take 95 photos in total.

8 + 2 7 9 5

Let’s Practice 1. Fill in the blanks to complete the word problems. (a) Ethan borrows 12 books from the school library on Monday. He borrows another 6 books on Tuesday. How many books did he borrow in total?

Monday

Tuesday ?

Ethan borrowed

books in total.

(b) A green grocer sells 28 green apples and 29 red apples. How many apples does he sell in all?

green apples

red apples ?

The green grocer sells 92

apples in all.

Adult

Child ?

The total price for 1 adult and 1 child is

2. Use the space provided to complete the word problems. (a) Dominic has 24 coins. Blake has 32 coins. How many coins do they have in all?

Dominic and Blake have

coins in all. 93

(b) There are 33 seagulls on the beach. Another 27 seagulls fly in to join them. How many seagulls are on the beach now?

There are

seagulls on the beach now.

(c) Wyatt has 67 seashells in his collection. On a trip to the beach, he collects another 14 shells. How many shells does Wyatt have?

Wyatt has 94

shells.

Solve It! Make a bar model. Then use counting cubes or a Rekenrek to solve. Show your work with a drawing. Riley’s chickens laid enough eggs to fill up two 10-egg cartons on Friday. The next day they laid enough eggs to fill up one carton and half of another one. How many eggs did they lay on the two days.

Solve It! Halle cared for 18 kittens on her first day at the animal shelter. In the next two days, she cared for 5 more kittens each time. How many kittens did she care for over the three days?

At Home 1. Fill in the blanks to complete the word problems. (a) Riley picked flowers in her garden. She picked 25 daisies and 8 roses. How many flowers did she pick in total?

daisies

roses

Riley picked

flowers in total.

(b) Michelle walks 18 steps to the garden. She then walks another 36 steps to the pond. How many steps did she walk in total? ? to garden

to pond

Michelle walks

steps in total. 97

coffee

tea

The coffee shop sold

hot drinks in total.

2. Use the space provided to complete the word problems. (a) Mr. Olsen bought some chairs for his office. He ordered 25 black chairs and 28 blue chairs. How many chairs did he buy in all?

Mr. Olsen bought 98

chairs in all.

(b) Jordan helps his father carry boxes to the car. Jordan carries 14 boxes and his father carries 26 boxes. How many boxes did they carry in all?

They carried

boxes in all.

(c) Super Dooper Hamburger restaurant sold 24 cheeseburgers and 67 spicy burgers. How many hamburgers did they sell in all?

The restaurant sold

hamburgers in all.

Subtraction Without Regrouping Let’s Learn Find 38 – 6. Let’s count back and cross out the ones. 8 ones – 6 ones = 2 ones. Tens

Tens Ones

Ones

3 –

8 6 2

Subtract the tens. Tens

Tens Ones

Ones

8 6

– There are no tens to subtract. 3 tens – 0 tens = 3 tens. 38 – 6 = 32 We can subtract the ones mentally.

100

8–6=2 38 – 6 = 32

Subtract 34 from 57. Subtract the ones. 7 ones – 4 ones = 3 ones. Tens

Ones Tens Ones

–

5 3

7 4 3

Subtract the tens. Tens

Ones Tens Ones

–

5 3

7 4

5 tens – 3 tens = 2 tens. 57 – 34 = 23 Subtract the ones and tens mentally.

1 01

Let’s Practice 1. Cross out blocks to subtract. Fill in the blanks. (a) Find 29 – 6.

Subtract the ones.

ones –

ones =

ones

Subtract the tens.

tens – 0 tens =

tens

29 – 6 = (b) Find 63 – 22.

Subtract the ones.

ones –

ones =

ones

Subtract the tens.

tens –

63 – 22 = 1 02

tens =

tens

2. Subtract. (a) (b) 2 8 – 7

(c)

(d) 8 9 – 4 5

–

3 1

7 6

–

7 5

4 3

3. Fill in the blanks. Subtract using columns. (a) 55 – 14 =

–

(b) 78 – 21 =

–

(d) 96 – 92 =

–

103

Hands On Start with 48 cubes. Now take away 20. Now take away 3 more. How many do you have left? Write a subtraction sentence showing what you did.

Model 67 - 33 with chips on the place value chart. Tens

Ones

Then write your steps and the final equation.

104

Solve It! Blake has 47 toy trucks, and Ethan has 35 toy trucks. Together they give away 52 toy trucks. How many toy trucks are they left with together?

Step 1

Step 2

105

At Home 1. Subtract. (a) (b) 1 6 – 5

(c)

(d) 3 7 – 1 1

–

2 1

4 3

–

6 2

8 2

2. Fill in the blanks. Subtract vertically. (a) 52 – 21 =

–

106

(b) 66 – 44 =

–

(d) 65 – 53 =

–

3. Fill in the blanks. Subtract vertically. (a) 76 – 16 =

–

(e) 66 – 34 =

–

(b) 78 – 45 =

–

(d) 94 – 92 =

–

(f) 88 – 17 =

–

107

Subtraction With Regrouping Let’s Learn Find 34 – 8. Tens

Tens Ones

Ones

3 –

4 8

There are not enough ones to subtract!

We cannot subtract 8 ones from 4 ones. Regroup 1 ten into 10 ones. Tens

Tens Ones

Ones

14 4

– We now have 14 ones. 14 ones – 8 ones = 6 ones. Tens

Tens Ones

Ones

–

8 2

There are no tens to subtract. 34 – 8 = 26 108

14 4

Subtract 25 from 62. Tens

Ones

Tens Ones

6 2

–

2 5

We cannot subtract 5 ones from 2 ones. Regroup 1 ten into 10 ones. Tens

Ones

Tens Ones 5

–

6 2

12 2

5 7

12 ones – 5 ones = 7 ones. Subtract the tens. Tens

Ones Tens Ones 5

–

6 2

12 2

5 tens – 2 tens = 3 tens. 62 – 25 = 37 109

Let’s Practice 1. Cross out the blocks and fill in the blanks. (a) Find 22 – 8.

Regroup 1 ten into 10 ones.

ones –

ten –

ones = tens =

ones ten

22 – 8 = (b) Find 34 – 15.

Regroup 1 ten into 10 ones.

ones –

ones =

tens –

ten =

34 – 15 =

110

ones ten

2. Subtract. (a) (b) 2 4 – 6

(c)

(d) 4 2 – 1 9

–

3 1

3 4

–

6 2

5 8

3. Fill in the blanks. Subtract vertically. (a) 72 – 24 =

–

(b) 55 – 17 =

–

(d) 92 – 46 =

–

111

At Home 1. Cross out the blocks and fill in the blanks. (a) Find 33 – 17.

Regroup 1 ten into 10 ones.

ones –

ones =

tens –

ten =

ones ten

33 – 17 = (b) Find 45 – 28.

Regroup 1 ten into 10 ones.

ones –

ones =

tens –

tens =

45 – 28 =

112

ones ten

2. Fill in the blanks. Subtract vertically. (a) 71 – 15 =

–

(e) 82 – 28 =

–

(b) 64 – 46 =

–

(d) 90 – 54 =

–

(f) 41 – 14 =

–

113

1-Step Subtraction Word Problems Let’s Learn Keira scored 93 points on her spelling test. Michelle scored 12 points less than Keira. How many points did Michelle score on her spelling test? 93 Keira’s spelling score Michelle’s spelling score

fewer points

Subtract the difference to find Michelle’s score.

9 3 – 1 2 8

93 – 12 = 81 Michelle scored 81 points on the spelling test.

114

Mr. McDonald has 85 animals on his farm. There are 48 sheep. The rest of the animals are cows. How many cows are on Mr. McDonald’s farm?

85 sheep

cows

Regroup 1 ten into 10 ones before you subtract.

8 15 5 – 4 8 3 7

85 – 48 = 37 There are 37 cows on Mr. McDonald’s farm.

115

Let’s Practice 1. Fill in the blanks to complete the word problems. (a) There are 76 children in the playground. 33 children are boys. How many girls are in the playground? ? boys

girls

–

There are

girls in the playground.

(b) A fisherman takes 60 crabs to the market. He sells 46 crabs. How many crabs does he have left? ? remaining

sold

–

The fisherman has

116

crabs left.

Cost of Halle’s shoes Cost of Riley’s shoes

–

Riley’s shoes cost $

2. Use the space provided to complete the word problem. On Sunday, a restaurant sells 82 bowls of ice cream, On Monday, the restaurant sells 16 fewer bowls of ice cream. How many bowls of ice cream were sold on Monday?

bowls of ice cream were sold on Monday. 117

At Home 1. Fill in the blanks to complete the word problems. (a) A baker bakes 92 donuts. She sells 55 donuts. How many donuts does she have left? ? donuts sold

donuts left

–

There are

donuts left.

(b) On Saturday, 74 customers visit a clothing store. On Sunday, 26 fewer customers visit the store. How many customers visit the store on Sunday?

Customers on Saturday Customers on Sunday

–

On Sunday, 118

= customers visited the clothing store.

2. Use the space provided to complete the word problems. (a) There are 41 passengers on a bus. At the next stop, 9 passengers get off. How many passengers are left on the bus?

passengers are left on the bus.

(b) Sophie scores 86 points on her Science test. She scores 17 fewer points on her English test. How many points did she score on her English test?

Sophie scored

points on her English test. 119

Solve It! 1. At the lemonade stand, the class raised $34 on Saturday for earthquake victims. On Sunday, they raised $48.

(a) How much more did they raise on Sunday than on Saturday?

(b) How much did they raise over the entire weekend?

120

2. Dominic and Wyatt had a tag sale. Dominic made $39 on his items. Wyatt made $53. They both agree that Wyatt made more.

Dominic said Wyatt made $26 more than him because he did the subtraction like this.

$53 – $39 $26

Wyatt said he made $14 more because 39 + 1 = 40, and 40 + 13 = 53, so add the partial addends to make $14.

$39

+13

$40 $53 1 + 13 = 14

Who is correct? What error did the other one make? Show your thinking.

121

2-Step Word Problems Let’s Learn Blake has 12 toy cars. Dominic has 3 more toy cars than Blake. How many toy cars do they have altogether? First, let’s find how many cars I have.

Step 1

Blake’s cars Dominic’s cars ?

To find the number of cars that Dominic has, we add. 12 + 3 = 15 Dominic has 15 toy cars. Now we can find the total number of toy cars. Step 2 12

Blake’s cars

Dominic’s cars ?

12 + 15 = 27 Blake and Dominic have 27 toy cars altogether. 1 22

In January, Jordan saves $36. In February, he saves $15 more than in January. How much money did he save in total?

Step 1 Find the amount of money Jordan saves in February. $36

$15

January

February

6 1 5

5 1

36 + 15 = 51 Jordan saves $51 in February. Step 2 Add the amounts together to find the total. $36

$51

January

February ?

3 6 + 5 1 8 7

36 + 51 = 87 Jordan saved $87 in total. 123

Halle has 53 stickers. Sophie has 12 fewer stickers than Halle. How many stickers do they have combined?

Step 1 Subtract to find Sophie’s sticker amount. 53 Halle’s stickers Sophie’s stickers

fewer

5 3 – 1 2 4

53 – 12 = 41 Sophie has 41 stickers. We can add to find the combined number of stickers. Step 2

? Halle’s stickers

Sophie’s stickers

53 + 41 = 94 Halle and Sophie have 94 stickers combined. 124

5 3 + 4 1 9 4

In the morning, a florist sells 45 roses. She sells 16 fewer roses in the afternoon. Find the total number of roses sold in the day.

Find the number of roses sold in the afternoon.

Step 1

45 Roses sold in the morning

4 15 5 – 1 6 3

Roses sold in the afternoon

fewer sold

2 9

45 – 16 = 29 29 roses were sold in the afternoon. Now we can add to find the total number of roses sold in the day. Step 2

Morning

Afternoon ?

4 5 + 2 9 1

7 4

45 + 29 = 74 The florist sold 74 roses in the day. 125

Let’s Practice 1. Fill in the blanks to complete the word problems. (a) There are 38 visitors to the museum on Saturday. There are 17 more visitors on Sunday. How many people visited the museum on the weekend? Step 1 Find the number of visitors on Sunday.

Saturday

Sunday ?

On Sunday,

people visited the museum.

Step 2 Add the number of visitors for both days.

Saturday

Sunday ?

people visited the museum on the weekend.

126

(b) There are 33 ducks swimming on the lake. There are 15 fewer geese than ducks. Find the total number of ducks and geese on the lake. Step 1 Find the number of geese on the lake.

ducks geese

fewer

–

There are

geese on the lake.

Step 2 Add to find the total number of ducks and geese.

ducks

geese ?

There are

= ducks and geese on the lake. 127

2. Use the space provided to complete the word problems. (a) In a treasure chest there are 32 silver coins. There are 8 more gold coins than silver coins. Find the total number of silver and gold coins. Step 1

Step 2

There are

1 28

silver and gold coins.

(b) On a farm there are 60 goats. There are 43 fewer sheep than goats. Find the total number of goats and sheep on the farm. Step 1

Step 2

There are

goats and sheep on the farm.

129

Solve It!

The second graders went to an amusement park. When they got there, 24 students wanted to go to the teacup ride first. The other 36 students wanted to go to the Ferris wheel first. (a) How many students went to the amusement park?

(b) How many more students wanted to go to the Ferris wheel than the teacup ride?

130

Hands On Working with a partner and your number cards, draw 2 cards each. Then one of you write an addition word problem with the numbers and the other one writes a subtraction one. Give each other the problems, and solve them.

Do it again after drawing new cards, but switch roles with the operations. 131

At Home 1. Fill in the blanks to complete the word problem. (a) At a restaurant, 18 people are sitting inside. 14 more people are sitting outside. How many people are at the restaurant? Step 1 Find the number of people sitting outside.

people inside people outside

There are

people sitting outside.

Step 2 Add the number of people sitting inside and outside.

people inside

people outside ?

There are 1 32

= people at the restaurant.

(b) A bakery sold 57 cookies. It sold 28 fewer cupcakes than cookies. How many cookies and cupcakes were sold in total? Step 1 Find the number of cupcakes sold. ? cupcakes

fewer

–

cupcakes were sold.

Step 2 Add the number of cookies and cupcakes sold.

cupcakes

cookies ?

cookies and cupcakes were sold in total. 133

2. Use the space provided to complete the word problems. (a) A juice shop sold 45 bottles of orange juice. It sold 16 fewer bottles of apple juice. How many bottles of juice were sold in all? Step 1

Step 2

1 34

bottles of juice were sold in all.

(b) In March, Halle saved $44. She saved $8 more in April. How much money did Halle save in March and April? Step 1

Step 2

Halle saved $

in March and April.

135

Looking Back 1. Fill in the blanks. Add. (a) (b) 3 1 + 7

(c)

(d) 5 8 + 1 5

(e) 67 + 9 =

2 1

4 3

3 4

6 4

(f) 18 + 27 =

(g) 33 + 48 =

(h) 5 + 6 + 7 =

+ +

136

2. Fill in the blanks. Subtract. (a) (b) 2 9 – 6

(c)

(d) 5 2 – 2 5

(e) 74 – 38 =

–

4 1

7 7

–

4 3

1 5

(f) 38 – 19 =

–

(g) 82 – 48 =

–

(h) 95 – 67 =

–

137

3. Fill in the blanks to complete the word problems. (a) Mrs. Lombard takes 85 candles to sell at the market. She sells 38 candles. How many candles does she have left?

candles sold

candles left ?

–

She has

candles left.

(b) Halle and Sophie make cookies for the school fair. Halle bakes 33 cookies and Sophie bakes 18 cookies. How many cookies do they bake in all?

Halle’s cookies

Sophie’s cookies ?

Halle and Sophie bake 138

cookies in all.

(c) On a farm there are 42 chickens in the yard. There are 15 fewer chickens in the coop. How many chickens are there in all? Step 1 Find the number of chickens in the coop.

chickens in yard chickens in coop

fewer

–

There are

chickens in the coop.

Step 2 Add to find the total number of chickens.

chickens in yard

chickens in coop ?

There are

= chickens in all. 139

Numbers to 1,000

Anchor Task

140

1 41

Hundreds, Tens and Ones Let’s Learn We can put 10

together to make one

. 10 ones makes 1 ten.

10 ones

How many

1 ten

altogether? Tens Ones

2 tens 4 ones = 24 20 + 4 = 24 We write: 24 We read: twenty-four How many

altogether?

Tens Ones 6 60

6 tens 8 ones = 68 60 + 8 = 68 We write: 68 We read: sixty-eight

142

Let’s put 10

together.

10 tens make 1 hundred.

10 tens

1 hundred

10 tens = 1 hundred We write: 100 We read: one hundred Let’s put some hundreds together and count. How many blocks are there? 100, 200, 300, 400.

We write: 400 We read: four hundred

143

How many

altogether?

500

5 hundreds 6 tens 5 ones = 565 500 + 60 + 5 = 565 We write: 565 We read: five hundred and sixty-five Let’s put 10

together.

We write: 1000 We read: one thousand 144

10 hundreds make 1 thousand.

Let’s Practice 1. Write the number of sticks. (a)

(b)

(c)

(d)

(e)

145

2. Match.

146

six hundred and twenty-one

523

one hundred and six

951

five hundred and twenty-three

621

three hundred and sixty-three

106

nine hundred and fifty-one

363

3. Write the number. (a) two hundred and twenty-nine

(b) nine hundred and ninety-three

(d) five hundred and twenty-three

(e) three hundred and fifty-one

147

4. Write the number in words. (a)

(b)

(c)

(d)

(e)

(f)

(g)

(h)

1 48

5. Write the number in numerals and words. (a)

(b)

(c)

(d)

149

6. Fill in the blanks. (a)

100 + 30 + 4 = (b)

300 + 40 + 8 = (c)

400 + 20 + 1 = (d)

700 + 40 + 9 = 150

(e)

(f)

1 51

Hands On Model these numbers.

(a) 42 (b) 321

152

Solve It! Match the numbers in 2 ways. Nine hundred and forty-three

300 + 50 + 4

Three hundred and fifty-four

300 + 40 + 2

900 + 40 + 3

Three hundred and forty-two

1 53

At Home 1. Match. five hundred and forty

four hundred and fifty

two hundred and twenty-six

five hundred and thirty-six

six hundred and twenty-two

two hundred and forty

154

622

450

536

240

540

226

2. Write the number in numerals and words. (a)

(b)

3. Write the number in words. (a)

(b)

(c)

(d)

155

4. Fill in the blanks. (a)

500 + 30 + 8 = (b)

600 + 5 = (c)

156

(d)

(e)

1 57

Place Value to 1,000 Let’s Learn How many buttons are there altogether? Hundreds

100

Tens

Ones

100

100 10

7 4

0 7 0 8 8 ones or 8 7 tens or 70 4 hundreds or 400

400 + 70 + 8 = 478 There are 478 buttons altogether. 158

What number is shown in the place value chart? Hundreds

Tens

Ones

9 6

0 9 0 5 5 ones or 5 9 tens or 90 6 hundreds or 600

6 hundreds 9 tens 5 ones = 695 600 + 90 + 5 = 695 159

Let’s Practice 1. Fill in the blanks. Write the number in numerals and words. (a)

Hundreds

Tens

hundreds

tens

Ones

ones

(b)

Hundreds

Tens

hundreds 160

tens

Ones

ones

(c)

Hundreds

Tens

hundreds

tens

Ones

ones

(d)

Hundreds

Tens

hundreds

tens

Ones

ones

161

2. Fill in the missing numbers. (a)

267

200 +

+7=

(b) 506

+6=

(c)

400 + 40 + 9=

(d)

987

+ 80 +

790

+ 90 +

(e)

1 62

3. Write the value of the digit. (a) (b)

(e) (f)

(g) (h)

(i) (j)

163

4. Match.

164

0 6

8 5 9 8

0 8

0 4 9 8

5 0 2 9 8 2

0 4

0 2

9 01 9 8

0 9

9 5 8 5 9 8

0 5

2 0 9 9 8

6 3

5. Fill in the blanks. (a)

4 0 8

(b)

(c)

2 7 0

165

6. Fill in the blanks. (a) The value of the digit 3 is

132

The value of the digit 1 is

. .

The value of the digit 2 is

The value of the digit 6 is

The value of the digit 0 is

The value of the digit 2 is

The value of the digit 8 is

The value of the digit 9 is

The value of the digit 7 is

The value of the digit 0 is

(b)

206 (c)

879 (d)

The value of the digit 1 is

610 166

The value of the digit 6 is

. .

(e)

982

The value of the digit

is 900.

The value of the digit

is 2.

The value of the digit

is 80.

The value of the digit

is 0.

The value of the digit

is 90.

The value of the digit

is 400.

The value of the digit

is 10.

The value of the digit

is 700.

The value of the digit

is 5.

The value of the digit

is 300.

The value of the digit

is 8.

The value of the digit

is 40.

(f)

490 (g)

715 (h)

348

1 67

(i)

672

The digit

is in the hundreds place.

The digit

is in the ones place.

The digit

is in the tens place.

The digit

is in the ones place.

The digit

is in the tens place.

The digit

is in the hundreds place.

The digit

is in the tens place.

The digit

is in the ones place.

The digit

is in the hundreds place.

The digit

is in the hundreds place.

The digit

is in the ones place.

The digit

is in the tens place.

(j)

906 (k)

194 (l)

837

168

Color the circles to show each number. Color a circle green to show 1. Color a circle red to show 10. Color a circle blue to show 100.

(a)

285

(b)

729

169

(c)

four hundred and sixty-three

(d)

seven hundred and nine

(e)

eight hundred and twenty-four

170

Hands On Materials Place value cards Number disks (ones, tens, hundreds) Place value charts to 100 (unlabelled) Activity In partners, Partner A models a number using the number disks. Starting with the Hundreds, they count up to the number. Partner B uses the Place Value cards to model the number. Partner A writes the number in the blanks on the page. Then the partners switch roles. Numbers to model: (a) 125 (b) 379 (c) 638 (d) 904

171

At Home 1. Fill in the blanks. Write the number in numerals and words. (a)

Hundreds

Tens

hundreds

tens

Ones

ones

(b)

Hundreds

Tens

hundreds 172

tens

Ones

ones

2. Match.

7 6 4

0 8

7 4 6

0 5

0 4

3 8 4

0 6

2 9 2

0 9

4 6

0 6

9 5 2

173

3. Fill in the blanks. (a)

3 5 9

(b)

(c)

174

6 2

5 0

4. Write the number. (a) The digit 6 is in the tens place. The digit 1 is in the ones place. The digit 8 is in the hundreds place.

(b) The digit 5 is in the hundreds place. The digit 0 is in the ones place. The digit 2 is in the tens place.

(d) The digit 8 is in the tens place. The digit 9 is in the hundreds place. The digit 3 is in the ones place.

175

Solve It! Sophie and Jordan made their own place value chart. Our place value poster shows 324.

Find the value of each sticker.

= = =

Find the values on each place value chart. (a)

176

(b)

(c)

(d)

177

Comparing Numbers to 1,000 Let’s Learn Compare 42 and 34.

This sign means greater than.

42 is greater than 34. 42 > 34 Compare 55 and 63.

55 is smaller than 63. 55 < 63 178

This sign means smaller than.

Compare 627 and 569. Which number is smaller? Hundreds

6 2 7

Tens

Ones

First, compare the hundreds.

5 6 9 5 hundreds is smaller than 6 hundreds. So, 569 is smaller than 627.

569 < 627

179

Compare 446 and 478. Which number is greater? Hundreds

The hundreds are the same.

Tens

Ones

Compare the values in the tens place.

4 4 6 4 7 8 7 tens is greater than 4 tens. So, 478 is greater than 446.

478 > 446 180

Compare 629 and 626. Which number is greater? Hundreds

Tens

Ones

The hundreds and tens are the same. Compare the values in the ones place.

6 2 9 6 2 6 9 ones is greater than 6 ones. So, 629 is greater than 626.

629 > 626 181

Compare 418, 246 and 273. Which is the greatest? Which is the smallest? Hundreds

Tens

Ones

4 hundreds is greater than 2 hundreds. So, 418 is the greatest.

Let’s arrange the numbers from the greatest to the smallest.

greatest

182

First, compare the hundreds.

Compare the tens in 246 and 273. 4 tens is smaller than 7 tens. So, 246 is the smallest number.

smallest

Let’s Practice 1. Tick the set that shows the greater number. (a)

(b)

(c)

(d)

183

2. How many buttons are there? Which is the greater number? (a) 10

100

The greater number is

(b) 100

100

10 100

100

The greater number is 184

3. How many cubes are there? Which is the smaller number? (a)

The smaller number is

(b)

The smaller number is

185

4. Circle the greater number. (a)

(b)

(c)

(d)

5. Circle the smaller number. (a)

(b)

(c)

(d)

186

6. Use the word ‘greater’ or ‘smaller’ to complete the sentences. (a) 120 is

than 102.

(b) 604 is

than 601.

than 939.

(d) 713 is

than 770.

(e) 645 is

than 644.

(f) 892 is

than 889.

7. Use > or < to fill in the blanks. (a) 450

550 (b) 604

640

640 (d) 802

820

(e) 761

768 (f) 151

(g) 998

899 (h) 627

276

(i) 287

279 (j) 333

(k) 710

829 (l) 509

951

515

1 87

8. Which is the greatest? Which number is the smallest? (a)

Hundreds

Tens

Ones

(b)

is the greatest.

Hundreds

Tens

Ones

(c)

1 88

is the smallest.

is the greatest.

is the smallest.

Hundreds

Tens

Ones

is the greatest.

is the smallest.

9. Circle the greatest number. (a)

(b)

(c)

(d)

10. Circle the smallest number. (a)

(b)

(c)

(d)

189

11. Arrange the numbers in order from the greatest to the smallest. (a)

432

234

greatest

(b)

smallest

671

125

716

677

greatest

smallest

12. Arrange the numbers in order from the smallest to the greatest. (a)

777

767

smallest

(b)

smallest

190

greatest

484

480

670

greatest

508

At Home 1. Tick the set that shows the greater number. (a)

(b)

(c)

191

2. How many buttons are there? Fill in the blanks. (a) 100

100

The greater number is

(b) 100

100

The smaller number is 192

3. Use the word ‘greater’ or ‘smaller’ to complete the sentences. (a) 80 is

than 100.

(b) 67 is

than 49.

than 139.

(d) 222 is

than 202.

(e) 775 is

than 879.

(f) 946 is

than 941.

4. Use > or < to fill in the blanks. (a) 102

15 (b) 221

237

780 (d) 610

650

(e) 861

468 (f) 110

111

(g) 474

747 (h) 538

629

(i) 203

205 (j) 355

299

(k) 799

800 (l) 647

640

193

5. Circle the greatest number. (a)

(b)

(c)

(d)

6. Circle the smallest number. (a)

(b)

(c)

(d)

194

7. Arrange the numbers in order from the greatest to the smallest. (a)

378

376

greatest

(b)

smallest

485

580

309

558

greatest

smallest

8. Arrange the numbers in order from the smallest to the greatest. (a)

176

smallest

(b)

greatest

387

400 smallest

112

510

greatest

195

Solve It! Cross out the numbers that do not match the clues. Find each child’s number. (a)

Sophie’s clues: • between 300 and 800 • less than 710 • more than 603

Sophie’s number is

(b)

Halle’s clues: • between 110 and 670 • more than 425 • less than 640

Halle’s number is

(c)

Keira’s clues: • between 420 and 840 • more than 550 • less than 790

Keira’s number is

196

(d)

Wyatt’s clues: • between 525 and 905 • less than 750 • more than 700

Wyatt’s number is

(e)

Ethan’s clues: • between 680 and 1,000 • more than 830 • less than 899

Ethan’s number is

(f)

Jordan’s clues: • between 700 and 980 • more than 900 • less than 970

Jordan’s number is

197

Odd and Even Numbers Let’s Learn Count the cubes in each set. 2

Notice that the cubes can be paired evenly. 4 6 8 10

2, 4, 6, 8 and 10 are even numbers. Count the cubes in each set. 1

In each set, there is 1 cube that cannot be paired evenly.

3 5 7 9

1, 3, 5, 7 and 9 are odd numbers. 1 98

Is 24 an odd or an even number?

All of the cubes can be paired evenly.

So, 24 is an even number. Is 19 an odd or an even number?

One cube cannot be paired.

So, 19 is an odd number.

199

Numbers that end in 0, 2, 4, 6 or 8 are even numbers.

2 00

99 100

Numbers that end in 1, 3, 5, 7 or 9 are odd numbers.

99 100

2 01

Let’s Practice 1. Circle pairs of buttons. Circle odd or even.

odd even odd even

odd even

odd

odd even

202

even

odd even

2. Write ‘odd’ or ‘even’. (a) (b) (c)

(d) (e)

(f)

203

3. Write the number and circle odd or even.

odd even

odd even 2 04

odd even

205

4. Circle the odd numbers. 2

5. Circle the even numbers. 4

6. Write 4 even numbers between 20 and 40.

7. Write 4 odd numbers between 50 and 70.

206

8. Color even numbers to find a path down the cliff.

100

207

9. Color the balloons with even numbers red. Color the balloons with odd numbers blue.

655 103

324 561 789

902

208

350

742

292

121

766

317

999 674

209

At Home 1. Write the number and circle odd or even.

odd even

odd even 21 0

2. Color the odd numbers blue. Color the even numbers yellow.

34 8 70 25

7 2 16 52

61 43 3 90

3. Write 4 even numbers between 60 and 80.

4. Write 4 odd numbers between 80 and 100.

211

Solve It! 1. Draw lines to deliver the letters to the correct mailboxes. The first one has been done for you.

• odd number • greater than 400 • digit in tens place is larger than digit in ones place

• odd number • smaller than 360 • sum of all of the digits is 6

e • 2 digits are the sam • 1 digit is even o digits is 5 • sum of the first tw

233

212

434

785

mber • even nu than 400 • greater ce is 1 less la p s n e t • digit in ones place in it ig d n tha

• smaller than 400 • every digit is odd

• 2 digits are the sa me • even number

359

321

778

213

2. Color the numbers the animals take to cross the pond. Use a different color for each animal. (a) The squirrel crosses the pond by stepping on 6 even numbers. (b) The hedgehog crosses the pond by stepping on 6 odd numbers.

hedgehog squirrel

1 16

21 4

13 14 17

(c) The rabbit crosses the pond by stepping on 5 even numbers. (d) The monkey crosses the pond by stepping on 4 odd numbers.

rabbit monkey

232

653

337

186

715

158

543

222

458 708

769 250

431

600

835

215

Skip Counting and Number Patterns Let’s Learn Let’s count in 2s. What number comes next?

In each step we add 2. 12 + 2 = 14. The next number is 14. Try starting at 1 and skip counting in 2s.

Start at 16. Skip count in 2s to 30. 16, 18, 20, 22, 24, 26, 28, 30 Start at 31. Skip count in 2s to 45. 31, 33, 35, 37, 39, 41, 43, 45 The numbers in the blue boxes show skip counting in 2s from 2 to 50. 1

21 6

Let’s count in 5s. What number comes next?

In each step we add 5. 25 + 5 = 30. The next number is 30!

Start at 35. Skip count in 5s to 70. 35, 40, 45, 50, 55, 60, 65, 70

Each number ends in 5 or 0!

Start at 78. Skip count in 5s to 113. 78, 83, 88, 93, 98, 103, 108, 113 The numbers in the green boxes show skip counting in 5s from 5 to 50. 1

50 217

Let’s count in 10s. What number comes next?

60 + 10 = 70. The next number is 70! Start at 80. Skip count in 10s to 150. 80, 90, 100, 110, 120, 130, 140, 150 The numbers in the ones place don’t change!

Start at 237. Skip count in 10s to 307. 237, 247, 257, 267, 277, 287, 297, 307 The numbers in the red boxes show skip counting in 10s from 60 to 100.

100

218

Let’s count in 100s. What number comes next?

100

200

300

400

500

500 + 100 = 600. The next number is 600!

Start at 400. Skip count in 100s to 1000. 400, 500, 600, 700, 800, 900, 1,000 Start at 382. Skip count in 100s to 982. 382, 482, 582, 682, 782, 882, 982

The numbers in the ones and tens places don’t change!

The numbers in the yellow boxes show skip counting in 100s from 600 to 1,000. 510

520 530 540 550 560 570 580 590

600

610

620 630 640 650 660 670 680 690

700

710

720 730 740 750 760

790

800

810

820 830 840 850 860 870 880 890

900

910

920 930 940 950 960 970 980 990 1,000

770

780

219

Let’s Practice 1. Skip count in 2s. Fill in the blanks. (a) 2, 4, 6, 8,

(b) 46, 48, 50, 52,

2. Skip count in 5s. Fill in the blanks. (a) 5, 10, 15, 20,

(b) 75, 80, 85, 90,

3. Skip count in 10s. Fill in the blanks. (a) 10, 20, 30, 40,

(b) 23, 33, 43, 53,

4. Skip count in 100s. Fill in the blanks. (a) 100, 200, 300, 400, (b) 54, 154, 254, 354, (c) 170, 270, 370, 470, 22 0

, ,

5. Fill in the blanks. (a)

The numbers show skip counting by

22 .

The next 2 numbers in the pattern are

(b)

The numbers show skip counting by

and

The numbers show skip counting by

120

220

The numbers show skip counting by The next 2 numbers in the pattern are

and

The next 2 numbers in the pattern are (d)

The next 2 numbers in the pattern are (c)

and

320

420

. and

. 221

(e)

222

227

232

The numbers show skip counting by

237 .

The next 2 numbers in the pattern are

(f)

175

275

The numbers show skip counting by

and

375

356

366

376

The numbers show skip counting by

801

803

805

The numbers show skip counting by The next 2 numbers in the pattern are

22 2

475

and

386

396

The next 2 numbers in the pattern are

(h)

The next 2 numbers in the pattern are

(g)

242

and

807

809

. and

6. Find the missing number. Fill in the blanks. (a) 44

The numbers show skip counting by

The missing number in the pattern is

(b) 475

495

505

515

525

The numbers show skip counting by

535

545

The missing number in the pattern is

102

104

The numbers show skip counting by

106

108

The missing number in the pattern is

(d) ?

270

370

470

570

670

The numbers show skip counting by The missing number in the pattern is

770

870

. . 223

(e) 185

195

200

205

210

The numbers show skip counting by

215

220

The missing number in the pattern is

(f) 302

304

306

308

310

The numbers show skip counting by

314

316

The missing number in the pattern is

(g) 299

399

499

599

799

The numbers show skip counting by

899

999

The missing number in the pattern is

(h) 160

260

360

460

560

The numbers show skip counting by The missing number in the pattern is

224

760 . .

860

At Home 1. Skip count. Fill in the blanks. (a) Continue skip counting in 2s.

104

(b) Continue skip counting in 100s.

360 225

102

633

(d) Continue skip counting in 10s.

888

22 6

2. Fill in the blanks. (a) Skip count in 2s.

304 (b) Skip count in 10s.

130 (c) Skip count in 5s.

707 (d) Skip count in 100s.

227

Solve It! I’m thinking of a number, see if you can guess It!

Wyatt thinks of a number for you to guess. Here are the clues he gave. Can you guess the number? • Between 300 and 360. • You can get there if you start counting by 3s at 300. • The sum of the digits is 12. • It is even. • Two of the digits are the same number.

228

Repeated Addition and Arrays Let’s Learn How many cherries are there altogether?

In each group, there are 2 cherries. 2+2+2=6 3 groups of 2 = 6 There are 6 cherries altogether. How many bananas are there altogether?

In each group, there are 3 bananas. 3 + 3 + 3 + 3 = 12 4 groups of 3 = 12 How many bananas are there altogether?

229

The frogs are arranged in rows. There are 5 frogs in each row. There are 2 rows. How many frogs are there?

5 + 5 = 10 2 groups of 5 = 10 There are 10 frogs. How many beetles are there?

4 + 4 + 4 + 4 + 4 = 20 5 groups of 4 = 20 There are 20 beetles. 230

Let’s Practice 1. Match. 2 groups of 4

4+4+4

5 groups of 3

4+4

3 groups of 4

3+3+3+3

2 groups of 5

5+5+5

4 groups of 2

3+3+3+3+3

3 groups of 5

2+2+2+2

4 groups of 3

5+5

231

2. Fill in the blanks. (a)

3 + 3 + 3 = There are

groups of 3.

(b)

2 + 2 + 2 + 2 = There are

groups of 2.

(c)

5 + 5 + 5 + 5 = There are 232

groups of 5.

(d)

There are

groups of 4.

(e)

There are

= groups of

(f)

There are

+ groups of

= . 233

3. Circle to make equal groups. Complete the equation. (a) Circle 3 groups of 4.

(b) Circle 5 groups of 2.

23 4

4. Match.

235

5. Color the arrays. Write an addition equation. (a) Show 2 rows of 5.

5 + 5 = 10 (b) Show 3 rows of 3.

236

(d) Show 5 rows of 3.

(e) Show 4 rows of 3.

(f) Show 5 rows of 5.

237

At Home 1. Fill in the blanks. (a)

There are

groups of 4.

(b)

There are

= groups of

(c)

There are 23 8

+ groups of

= .

2. Circle to make equal groups. Complete the equation. (a) Circle 2 groups of 5.

(b) Circle 5 groups of 4.

239

3. Color the grid. Write an addition equation. (a) There are 3 eggs in each nest. There are 4 such nests. How many eggs are there altogether?

There are

nests altogether.

(b) The children sit in rows of 4. There are 5 rows of children. How many children are there altogether?

There are

240

children altogether.

Solve It! Ethan put 9 counting bears in 2 rows on his desk. He said he had more bears than Blake did. Blake had 3 rows of 6 bears each. He disagreed with Ethan and said he had more because he had more rows. Who was correct? Why? Draw a picture and use equations to show your thinking.

2 41

Looking Back 1. Write the number in numerals and words. (a)

(b)

2. Fill in the blanks. (a)

500 +

2 42

+9=

(b)

3. Fill in the blanks. Write the number in numerals and words. Hundreds

Tens

hundreds

tens

Ones

ones

4. Write the number. The digit 9 is in the ones place. The digit 8 is in the hundreds place. The digit 2 is in the tens place.

243

5. Fill in the blanks. The digit

is in the hundreds place.

The digit

is in the ones place.

The digit

is in the tens place.

837

6. Fill in the blanks. (a)

9 0 2

(b)

7 6 4

7. Use > or < to fill in the blanks. (a) 131

301 (b) 673

678

727 (d) 902

920

(e) 528

509 (f) 897

907

2 44

8. Arrange the numbers in order. (a)

907

900

greatest

(b)

smallest

655

666

890

566

smallest

greatest

9. Color the even numbers red. Color the odd numbers blue. 11 310

243 990

101

128

499 590

823

642

751

888

778

186

637

256

368 700

10. Skip count. Fill in the blanks. (a) 18, 20, 22, 24,

(b) 655, 660, 665, 670,

(d) 8, 108, 208, 308,

, ,

245

11. Circle to make equal groups. Complete the equation. (a) Circle 2 groups of 5.

(b) Circle 5 groups of 5.

2 46

12. Color the grid. Write an addition equation. (a) There are 4 beetles on a leaf. There are 3 such leaves. How many beetles are there in all?

There are

= beetles in all.

(b) There are 5 buns in a box. There are 4 such boxes. How many buns are there in all?

There are

buns in all.

247

Addition to 1,000

Anchor Task

Hundreds

2 48

Tens

Ones

249

Adding 100s and 10s Let’s Learn Find 400 + 200. 4+2=6 400 + 200 = 600

Add the hundreds. 400 + 200 = 600

4 2 6

0 0 0

2 3 5

2 0 2

5 0 5

Find 225 + 300.

Add the hundreds. 225 + 300 = 525

25 0

Find 253 + 10. 5+1=6 50 + 10 = 60

Add the tens. 253 + 10 = 263

5 1 6

3 0 3

Find 534 + 40.

Add the tens.

3 4 7

4 0 4

524 534 544 554 564 574 584

534 + 40 = 574 2 51

Let’s Practice 1. Add the hundreds. (a) (b) 1 0 0 + 2 0 0 +

2 3

0 0

6 3

0 0

(e) (f) 4 0 0 + 5 0 0

6 2

0 0

(g) 300 + 400 =

(i) 500 + 100 =

252

(h) 800 + 100 =

(j) 400 + 500 =

2. Add the tens. (a) (b) 1 5 0 + 2 0 +

4 5

0 0

2 3

7 0

(e) (f) 6 5 2 + 4 0

3 5

9 0

(g) 322 + 40 =

(i) 649 + 40 =

(h) 864 + 30 =

(j) 727 + 60 =

253

3. Fill in the missing numbers. (a)

600

300

100

(b) =

600

400

800

200

900

(d)

254

4. Fill in the missing numbers. (a) =

652

556

628

698

774

(b)

(c)

(d)

2 55

Solve It! Fill in the blanks. What is the rule? (a)

200

300

600 The rule is

(b)

412

700

2 56

500

938

462 The rule is

500

447

988 .

674

At Home 1. Complete the equation. (a) 500 + 300 =

(b) 300 + 300 =

(d) 400 + 200 =

(e) 300 + 400 =

(f) 100 + 800 =

2. Fill in the missing numbers. (a) 200 + (c)

= 400 (b) 300 + + 400 = 800 (d)

(e) 300 + (g)

= 800 + 400 = 500

= 900 (f) 300 + + 100 = 200 (h)

= 600 + 700 = 900

3. Complete the equation. (a) 534 + 10 =

(b) 10 + 879 =

(d) 80 + 616 =

(e) 60 + 328 =

(f) 80 + 911 =

4. Fill in the missing numbers. (a) 10 + (c) (e) 50 + (g)

= 225 (b) 356 + + 652 = 672 (d) = 883 (f) 465 + + 113 = 183 (h)

= 366 + 50 = 570 = 495 + 777 = 797

2 57

Addition Without Regrouping Remember this! Find 35 + 44.

Add the ones.

Add the tens.

Tens Ones

35 + 44 = 79 Find 62 + 27. Add the ones. Tens Ones

6 2

2 7 9

Add the tens. Tens Ones

6 2 8

2 7 9

62 + 27 = 89 258

3 4

5 4 9

Tens Ones

3 4 7

5 4 9

Have a go! Fill in the blanks. (a) 28 + 51 =

(e) 54 + 32 =

(g) 71 + 28 =

(b) 21 + 74 =

(d) 33 + 35 =

(f) 71 + 18 =

(h) 25 + 53 =

259

Let’s Learn Farmer Joe picked 245 apples in the morning. Add the ones. He picked 23 apples in the afternoon. How many apples did Farmer Joe pick altogether? Let’s add 245 and 23. Hundreds

Tens

Ones

4 2

5 3 8

Add the tens.

4 2 6

5 3 8

+ Hundreds

Tens

Ones

245 + 23 = 268 Farmer Joe picked 268 apples altogether.

26 0

Add the hundreds.

4 2 6

5 3 8

There are 255 pupils in Year 2. There are 314 pupils in Year 3. How many pupils are there in Year 2 and Year 3 altogether? Add the ones.

Let’s add 255 and 314. Hundreds

Tens

Ones

2 3

5 1

5 4 9

Add the tens.

Hundreds

Tens

Ones

2 3

5 1 6

5 4 9

Add the hundreds.

255 + 314 = 569 There are 569 pupils in Year 2 and Year 3 altogether.

2 3 5

5 1 6

5 4 9 261

Let’s Practice 1. Add. (a)

Hundreds

Tens

Ones

(b)

Hundreds

Tens

2 6

5 3

6 2

Ones

2 62

(c)

(d)

Hundreds

Tens

Ones

5 1

2 5

4 4

6 3

4 2

5 3

Ones

263

2. Add. (a)

2 6

(b)

3 1

2 5

(d)

1 5

1 4

(f)

4 1

4 0

2 4

(h)

2 7

6 3

0 9

(j)

1 4

5 3

6 2

(l)

(e)

(g)

(i)

(k) +

264

1 8

3 5

5 2

7 2

9 0

2 6

3 2

1 6

6 3

5 2

4 4

7 1

5 4

6 3

3. Add. (a) 251 + 32 = +

(b) 308 + 71 = 5 3

1 1

6 1

6 2

8 1

3 4

6 2

2 6

0 7

4 4

1 7

5 3

2 5

4 4

6 2

5 4

4 5

(h) 446 + 342 = 1 0

(i) 469 + 210 = 4 2

0 7

(f) 152 + 735 =

(g) 110 + 801 = 1 8

(d) 620 + 267 =

(e) 264 + 624 = 2 6

1 2

0 1

4 3

(j) 354 + 645 = 6 1

9 0

3 6

265

Hands On Use number disks to represent the additions. Write the numbers in the equation.

(a) 112 + 5 =

(b) 235 + 4 =

(d) 237 + 22 =

(e) 471 + 18 =

(f) 645 + 43 =

(g) 832 + 65 =

2 66

(h) 701 + 95 =

Hundreds

Tens

Ones

What connection do you notice between the Base Ten blocks and the disks?

How can you use each of them to help you solve addition problems?

2 67

At Home 1. Fill in the blanks. Add. (a) 252 + 6 =

(e) 530 + 306 =

(g) 471 + 426 =

26 8

(b) 421 + 53 =

(d) 703 + 104 =

(f) 624 + 342 =

(h) 154 + 742 =

2. Add. Show your working. (a) 654 + 14 =

(e) 703 + 254 =

(g) 85 + 912 =

(b) 972 + 6 =

(d) 313 + 362 =

(f) 540 + 307 =

(h) 563 + 432 =

269

(i) 438 + 61 =

(k) 416 + 552 =

(m) 18 + 981 =

(o) 332 + 656 =

270

(j) 606 + 271 =

(l) 818 + 151 =

(n) 180 + 717 =

(p) 541 + 436 =

Solve It! Ethan left his mathematics notebook outside. Rain has washed away some of the numbers. Write the missing numbers. (a)

1 1 0 + 4 4 5 5 5

(b)

2 4 1 + 4 7 6 6 8

(c)

6 1 4 + 3 3 4 9 4 8

(d)

2 1 0 + 4 7 8 6 8 8

(e)

2 5 2 + 2 4 6 4 9 8

(f)

7 3 4 + 1 5 1 8 8 5

(g)

6 0 2 + 3 9 5 9 9 7

(h)

2 6 3 + 5 2 3 7 8 6

(i)

3 8 6 + 5 0 1 8 8 7

(j)

5 1 2 + 2 7 6 7 8 8 271

Addition With Regrouping Remember This! Add 36 and 28. Tens

Ones Tens Ones

3 2

+ 6 ones + 8 ones = 14 ones. Regroup the ones. 14 ones = 1 ten 4 ones Tens Ones

6 8

Add the ones.

Tens Ones 1

3 2

6 8 4

Tens

Ones

Add the tens.

Tens Ones

Add the tens. 1 tens + 3 tens + 2 tens = 6 tens 36 + 28 = 64 27 2

3 2

6 8

Have a Go! Fill in the blanks. (a) 27 + 53 =

(e) 37 + 35 =

(g) 27 + 48 =

(b) 56 + 25 =

(d) 66 + 29 =

(f) 64 + 17 =

(h) 28 + 59 =

273

Let’s Learn Find 236 + 207. Hundreds

Tens

Ones

Add the ones. 6 ones + 7 ones = 13 ones H

2 2

3 0

6 7 3

Regroup the ones.

13 ones = 1 ten 3 ones Hundreds

Tens

Ones

Add the tens. 1 ten + 3 tens + 0 tens = 4 tens H

2 2

3 0 4

6 7 3

Add the hundreds. 2 hundreds + 2 hundreds = 4 hundreds H

236 + 207 = 443

2 74

2 2 4

3 0 4

6 7 3

Find 262 + 155. Hundreds

Tens

Ones

Add the ones. 2 ones + 5 ones = 7 ones

2 1

6 5

2 5 7

Add the tens. 6 tens + 5 tens = 11 tens Regroup the tens.

Hundreds

Tens

Ones 11 tens = 1 hundred 1 ten 1

2 1

6 5 1

2 5 7

Add the hundreds. 1 hundred + 2 hundreds + 1 hundred = 4 hundreds 1

2 1 4

6 5 1

2 5 7

262 + 155 = 417 275

Find 358 + 286. Hundreds

Tens

Ones

Add the ones. 8 ones + 6 ones = 14 ones H

3 2

5 8

8 6 4

Regroup the ones.

14 ones = 1 ten 4 ones

Hundreds

Tens

Ones

Add the tens. 1 ten + 5 tens + 8 tens = 14 tens

276

8 6 4

8 4

Hundreds

Tens

Ones

Regroup the tens.

14 tens = 1 hundred 4 tens

Hundreds

Tens

Ones

Add the hundreds. 1 hundred + 3 hundreds + 2 hundreds = 6 hundreds

8 6 4

2 6

8 4

358 + 286 = 644 277

Let’s Practice 1. Add. (a)

Hundreds

Tens

Ones

(b)

Hundreds

Tens

8 6

3 4

8 4

2 5

Ones

278

(c)

(d)

Hundreds

Tens

Ones

5 2

8 5

8 9

6 3

6 2

5 5

Ones

279

2. Add. (a)

8 6

(b)

7 7

2 5

(d)

1 5

1 4

(f)

4 1

4 3

4 9

(h)

2 7

6 6

7 9

(j)

2 4

8 3

3 8

(l)

3 5

(e)

(g)

(i)

(k)

280

7 8

5 5

5 1

5 2

7 2

9 0

2 6

3 2

7 8

6 1

5 9

6 4

2 2

9 9

6 2

3. Add. (a) 451 + 52 = +

(b) 658 + 81 = 5 5

7 1

7 6

8 1

6 4

5 3

7 6

0 7

9 8

5 2

5 6

5 8

4 6

8 2

6 7

7 6

(h) 348 + 362 = 1 7

(i) 869 + 94 = 8

5 8

(f) 555 + 268 =

(g) 115 + 877 = 1 8

(d) 570 + 367 =

(e) 179 + 168 = 1 1

1 2

5 7

3 3

(j) 267 + 576 = 6 9

9 4

2 5

281

Hands On Let’s add mentally! Hundreds

2 82

Tens

Ones

Set up this expression on your chart. 327 + 53 Let’s add by place value! Start by adding the tens disks. 327 + 50 Then add the ones disks: 377 + 3 Remember to make a ten! Do these too, using the disks to compose a ten or a hundred when you can. (a) 253 + 27 (b) 253 + 127 (c) 149 + 28 (d) 149 + 128 (e) 186 + 36 (f) 186 + 136 (g) 337 + 15 (h) 337 + 115 (i) 246 + 63 (j) 246 + 163 (k) 517 + 97 (l) 186 + 197

283

At Home 1. Fill in the blanks. Add. (a) 554 + 9 =

(e) 578 + 289 =

(g) 479 + 453 =

2 84

(b) 681 + 53 =

(d) 505 + 105 =

(f) 699 + 176 =

(h) 287 + 668 =

2. Add. Show your working. (a) 654 + 77 =

(e) 745 + 189 =

(g) 85 + 836 =

(b) 372 + 86 =

(d) 383 + 332 =

(f) 549 + 375 =

(h) 508 + 432 =

285

(i) 558 + 268 =

(k) 487 + 365 =

(m) 58 + 268 =

(o) 763 + 198 =

286

(j) 696 + 174 =

(l) 376 + 530 =

(n) 654 + 258 =

(p) 676 + 264 =

Solve It! Ethan left his mathematics notebook outside again! Rain has washed away some of the numbers. Write the missing numbers. (a)

1 1 7 + 4 4 5 5 6 2

(b)

2 4 1 + 4 9 7 7 3 8

(c)

5 6 7 + 3 3 4 9 0 1

(d)

6 5 7 + 1 7 8 8 3 5

(e)

6 3 8 + 2 4 8 8 8 6

(f)

1 7 9 + 1 5 9 3 3 8

(g)

5 6 6 + 3 9 7 9 6 3

(h)

2 6 6 + 5 9 9 8 6 5

(i)

3 8 6 + 2 4 8 6 3 4

(j)

2 7 9 + 5 1 2 8 0 1 2 87

Looking Back 1. Complete the equation. (a) 100 + 200 =

(b) 100 + 500 =

(d) 400 + 300 =

(e) 200 + 700 =

(f) 100 + 100 =

(g) 200 + 300 =

(h) 500 + 300 =

(i) 300 + 300 =

(j) 400 + 500 =

2. Complete the equations. (a) 140 + 10 =

(b) 230 + 40 =

140 + 100 =

230 + 400 =

(d) 66 + 20 =

407 + 300 =

66 + 200 =

(e) 889 + 10 =

(f) 520 + 30 =

889 + 100 =

520 + 300 =

3. Complete the equations. (a) 231 + 10 =

(b) 10 + 549 =

(d) 60 + 311 =

(e) 60 + 328 =

(f) 90 + 909 =

(g) 47 + 40 =

288

(h) 50 + 717 =

4. Add. (a) (b) 4 6 8 + 1 1

(e) 553 + 234 = 5 2

(g) 456 + 232 =

(i) 157 + 131 =

4 2

3 1

3 3

6 2

3 4

4 4

0 4

8 1

(f) 308 + 441 = 5 3

3 4

(h) 751 + 206 =

(j) 324 + 324 =

289

5. Add. (a) (b) 2 1 7 + 1 1 7

(e) 459 + 142 = +

4 1

(g) 275 + 275 =

(i) 677 + 296 =

290

4 4

6 5

5 2

2 3

8 9

5 7

9 8

8 7

(f) 398 + 487 = 5 4

9 2

3 4

(h) 536 + 74 =

(j) 187 + 655 =

6. Add. Show your working. (a) 186 + 68 =

(e) 78 + 769 =

(g) 38 + 685 =

(b) 326 + 77 =

(d) 649 + 123 =

(f) 421 + 179 =

(h) 543 + 369 =

291

© Blue Ring Media Pty Ltd ACN 161 590 496 2013 - 2021. This publication would not have been possible without the tireless effort of our production team. Special thanks to: Daniel Cole, Matthew Cole, Wang Hui Guan, Kevin Mahoney, Winston Goh, Jesse Singer, Joseph Anderson, Halle Taylor-Pritchard, Sophie Taylor-Pritchard, Tejal Thakur, Natchanuch Nakapat,Varasinun Mathanattapat, Kanungnit Pookwanmuang, Saijit Lueangsrisuk Original Illustrations: Natchanuch Nakapat, GraphicsRF, Blue Ring Media and Interact Images Royalty-free images: Shutterstock, Adobe Stock