Let's Do Mathematics 2 – Worktext A by Regal Education

Workt ext

for learners 7 - 8 years old

Aligned to the US Common Core State Standards

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Workt ext

for learners 7 - 8 years old

Let’s Do Mathematics

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Let’s Do 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.

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Central to the USCCSS is the promotion of problem-solving skills and reasoning. Let’s Do 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

At Home

clarinet.

cm longer than the

violin.

clarinet. cm shorter than the

is the longest.

(d) The

is the shortest.

(e) The

from the longest to

(f) Arrange the objects

21 1

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

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.

your working.

ite Drink

Class 2A’s Favor

My Friends’ Favor

shortest.

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210

cm longer than the

table.

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My Friends’ Favor

Fruit

ite Fruits

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.

The first player to pick the describes the next shape.

correct shape is the winner

and

It’s a cylinder!

Solve it!

Solve It!

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

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

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.

Looking Back

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 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

(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

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Contents 1 Addition and Subtraction to 20

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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

2 4 14 20 28 34 37

2 Addition and Subtraction to 100

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

3 Numbers to 1,000

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

60 65 74 84 90 100 108 114 122 140 142 158 178 198 216 229

4 Addition to 1,000

248 250 258 272

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

Addition and Subtraction to 20

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Anchor Task

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–3

–4

Adding by Counting On Let’s Learn

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How many apples are there in all? Let’s count on.

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Count on from the greater number.

7 + 4 = 11 There are 11 apples in all.

Find 9 + 5. Count on the number line to add.

9 + 5 = 14 4

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

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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

(b)

(c)

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(d)

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

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

(b)

(c)

(d)

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

12 13 14 15 16 17 18 19 20

(b) 3 + 8 =

(d) 5 + 9 =

(e) 4 + 9 =

(f) 5 + 7 =

(g) 7 + 3 =

(h) 9 + 2 =

(a) 6 + 5 =

4. Use the number line to count on from the greater number. Complete the equation. 7

12 13 14 15 16 17 18 19 20

(b) 10 + 5 =

(d) 11 + 3 =

(e) 14 + 4 =

(f) 15 + 4 =

(g) 18 + 2 = (i) 4 + 15 = 5. Add.

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(a) 5 + 11 =

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(h) 17 + 3 =

(j) 12 + 4 =

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

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

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

1 3 + 2

1 5 + 2

Solve It! Which country is Steve from?

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Add. Then write the letters in the spaces below.

(a) 2 + 9 =

(b) 8 + 4 =

(d) 9 + 5 =

A I

(i) 1 + 14 =

(h) 15 + 5 =

(g) 16 + 3 =

(f) 12 + 4 =

(e) 8 + 5 =

17 9

At Home 1. Use the number line to count on from the greater number. Complete the equation. 7

(a) 5 + 7 =

12 13 14 15 16 17 18 19 20

(b) 5 + 9 =

(e) 2 + 13 = (g) 8 + 5 =

(d) 13 + 6 =

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(f) 15 + 2 =

(h) 14 + 3 =

(i) 16 + 4 = 2. Add.

(j) 4 + 7 =

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

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

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

1 2 + 2

1 6 + 3

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

7 +

= 11

(b)

(c)

12 + (d)

= 17

= 20

16 +

= 14

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9 +

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(a)

4. 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)

14 4 3

(b)

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

(c)

(d)

15 12

7 4

(e)

4 13

2. Fill in the missing numbers. (a)

5 and 11 is 16.

(b)

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(c)

(d)

(e)

20 4

4 13

Adding Using Doubles and Near Doubles Let’s Learn

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We can use doubles to add. A double is when both numbers we are adding are the same. Double 6

Double 7

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6 + 6 = 12

7 + 7 = 14

Double 8

8 + 8 = 16

9 + 9 = 18

Double 9

Double 10 10 + 10 = 20

We can use near doubles to add. Let’s find 8 + 9.

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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

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1. Use doubles and near doubles to complete the equations. (a)

6+6=

(b)

6+5=

7+6=

7+8=

5+6=

5+4=

7+7=

6+7=

(c)

5+5= 16

8+9=

8+7=

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8+8=

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(d)

(e)

9+9=

9+8=

9 + 10 =

2. 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. (b) 8 + 9 =

(d) 9 + 10 =

(e) 9 + 8 =

(f) 6 + 7 =

2. Add.

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(a) 8 + 8 =

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

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

8 7

3. Use doubles and near doubles to complete the equations. = 15 (b) 6 +

(a) 8 +

(c)

(e) 5 +

+ 10 = 20 (d) 8 + = 11 (f)

= 13 = 17 + 7 = 16

Solve It!

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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 Halle has 8 flowers. Chelsea gives her 7 more flowers. How many flowers does Halle have in all?

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Let’s Learn

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

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?

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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

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

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

2+7=9

12 + 7 = 10 + 2 + 7 = 10 + 9 10 = 19 2

12 + 7 = 19

Find 13 + 5.

13 + 5 = 18 22

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

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

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(a)

8 + 6 =

= 10

10 +

= 14

(b)

7 + 5 =

(c)

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9 + 8 =

(d)

8 + 7 =

= 10

10 +

= 13

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(b) 9 + 5 =

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

(g) 4 + 7 =

(d) 7 + 8 =

(e) 9 + 7 =

(f) 8 + 9 =

3. Make a ten. Fill in the blanks. (a)

13 + 4

13 + 4 = 10 +

= (b)

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14 + 5 = = (c)

12 + 6

12 + 6 =

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14 + 5

(d)

13 + 7 =

13 + 7

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

(b) 12 + 7 =

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= (d) 13 + 6 =

(e) 11 + 8 =

= (f) 14 + 4 =

= (g) 12 + 5 = =

At Home 1. Complete the equations. (b) 11 + 9 =

(d) 13 + 5 =

(e) 7 + 6 =

(f) 9 + 8 =

2. Add.

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(a) 7 + 9 =

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(a) (b) (c) 1 5 7 + 4 + 8

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

1 4 + 4

1 2 + 5

3. Complete the equations.

= 15 (b) 6 +

(a) 9 + (c)

+ 8 = 17 (d) 3 + = 12 (f)

(g) 6 +

= 18 (h) 6 +

(e) 5 +

(i)

+ 15 = 17 (j) 8 +

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

Subtraction by Counting Back Let’s Learn

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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

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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)

16 – 4 = (b)

(c)

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8 9 10 11 12 13

13 – 5 =

15 16 17 18 19

19 – 4 = (d)

12 13 14 15 16 17

17 – 5 =

(e)

17 18 19 20

20 – 3 = 30

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12 13 14 15 16

2. Complete the subtraction equation.

–

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(a)

– 3. Subtract. (a) 11 – 5 = (d) 15 – 2 =

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(b)

(b) 17 – 4 =

(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 –

–

1 9 – 5

Hands On Play this game in pairs.

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1. Take 20 linking cubes, 10 in each color.

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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. 7

12 13 14 15 16 17 18 19 20

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(b) 12 – 3 =

(d) 16 – 4 =

(e) 17 – 3 = (g) 18 – 2 = (i) 18 – 5 = 2. Subtract.

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(a) 11 – 2 =

(f) 20 – 5 = (h) 20 – 1 = (j) 19 – 3 =

(a) (b) (c) 1 5 1 6 1 7 – 3 – 3 – 3

(d) (e) (f) 1 3 1 4

–

(g) (h) (i) 2 0 1 9 – 2 – 2

1 8 – 5

1 1 – 3

Subtraction Using Double Facts Let’s Learn

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Use double facts to help find 16 – 8. Double 8 is 16.

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

Double facts help with adding and subtracting mentally. 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

Double

You can use number bonds to help you.

9 18

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

4 =

–

+ – (c) +

(d)

–

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(b)

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–

(e)

At Home 1. Use doubles to add and subtract. Match the equations. 18 – 9 =

(b) 9 + 9 =

10 – 5 =

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12 – 6 =

(e) 10 + 10 =

16 – 8 =

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(a) 5 + 5 =

20 – 10 =

(d) 8 + 8 =

(f) 7 + 7 =

2. Subtract.

(a) (b) (c) 1 8 1 4 1 2 – 9 – 7 – 6

Subtracting by Making 10 We can subtract by taking away the ones and adding to a 10.

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There are 18 apples on a tree. Halle picks 5 apples. How many apples are left?

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Let’s Learn

18 is 10 and 8.

8–5=3

18 – 5 = 13

8 – 5 = 3 10 + 3 = 13

18 – 5 = 13 There are 13 apples left. 37

We can subtract by getting 10 first.

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A baker has 14 cupcakes. She sells 6 cupcakes. How many cupcakes does the baker have left?

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First, subtract 4 to make 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.

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Ethan has 13 goldfish. He gives 6 goldfish to Dominic. How many goldfish does Ethan have now?

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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.

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.

10 (b)

–

10 +

–

18 – 6 =

(c)

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15 – 2 = 13

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(a)

16 – 3 =

(e)

–

15 – 3 =

(f)

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17 – 4 =

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(d)

19 – 6 =

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

14 – 5 =

–

(b)

–

15 – 8 =

(c)

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–

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(a)

16 – 7 =

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

12 – 7 =

–

(b)

–

15 – 8 =

(c)

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(a)

16 – 9 =

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

4 (b)

14 – 4 = 10

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14 – 5 =

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(a)

1 =

–

16 – 9 =

10 –

(c)

13 – 8 =

14 – 6 =

–

(e)

–

13 – 6 =

(f)

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–

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(d)

17 – 9 =

2. Subtract by taking away the ones and adding to the 10. Fill in the blanks and complete the equations. 18 – 4 =

(b)

17 – 4 =

8 –

4 =

10 +

4 = 14

–

(c)

16 – 5 =

19 – 6 =

(d)

(e)

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(a)

19 – 4 =

–

3. Subtract by first subtracting from 10. Fill in the blanks and complete the equations. 13 – 8 =

(b)

12 – 9 =

10 – 8 =

2 +

–

(c)

14 – 6 =

15 – 7 =

(d)

(e)

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3 =

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(a)

13 – 9 =

–

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

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(b)

–

= 14 14

–

= 14 14

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(c)

–

8 6

(d)

–

(f)

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(e)

–

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–

Hands On Using number cards 1-10 and a one-minute timer, play Sum War.

2. Each player turns over one card.

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1. Divide the pack into two, shuffled and face down.

3. Both players make as many addition sentences as they can in 1 minute.

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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.

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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

(a)

(b)

–

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Complete the number bond. Write the number fact family.

(c)

–

(d)

(e)

(f)

–

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–

(b)

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

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Looking Back

2. Use the number line to count on from the greater number. Complete the equations. 7

12 13 14 15 16 17 18 19 20

(b) 12 + 5 =

(d) 13 + 3 =

(e) 3 + 16 =

(f ) 11 + 2 =

(a) 7 + 5 =

(g) 18 + 2 =

(h) 4 + 14 =

(i) 5 + 9 =

(j) 14 + 5 =

3. Add.

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(a) (b) (c) 1 1 1 5 1 2 + 5 + 2 + 4

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(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. (b) 11 + 6 =

(d) 15 + 3 =

(e) 7 + 9 =

(f) 9 + 8 =

7. Add.

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(a) 12 + 7 =

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

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

1 2 + 7

8. Complete the equations.

= 14 (b) 6 +

= 18

(a) 9 +

+ 2 = 17 (d) 5 +

(c)

(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)

–

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(c)

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–

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. 18 – 7 =

(b)

17 – 4 =

–

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(a)

(c)

16 – 3 =

–

12 – 5 =

–

(a)

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

(b)

15 – 9 =

14. Subtract.

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(a) (b) (c) 1 5 1 7 1 3 – 2 – 4 – 6

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

–

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–

1 2 – 7

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

5 7

–

(b)

–

= 59

Addition and Subtraction to 100

How many cubes in all?

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Add by counting on.

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Remember this!

9 + 5 = 14 There are 14 cubes in all.

Find 13 + 5. Add by making 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. 9

20 – 5 = 15

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Subtract by taking away the ones and adding to a 10.

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There are 17 apples on a tree. Halle picks 6 apples. How many apples are left?

17 is 10 and 7.

17 – 6 = 11 10 7–6=1

7 – 6 = 1 10 + 1 = 11

17 – 6 = 11 There are 11 apples left.

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Subtract by getting 10 first. Find 15 – 7.

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15 – 7 = 8 5

15 – 5 = 10 10 – 2 = 8

15 – 7 = 8

Subtract from 10 first. Find 13 – 6.

13 – 6 = 7

13 – 6 = 7 62

10 3

10 – 6 = 4 4+3=7

Have a go!

12 13 14 15 16 17 18 19 20

(b) 11 + 5 =

(d) 16 + 2 =

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(a) 7 + 4 =

(e) 14 + 5 =

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

(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. 18 – 6 =

(b)

19 – 6 =

–

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(a)

–

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

–

15 – 8 =

(a)

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

(b)

13 – 9 =

–

Addition Without Regrouping

Ones

Ed uc a

Tens

tio n

Anchor Task

Let’s Learn Find 45 + 4.

43 45 46 47 48 49 50 45 + 4 = 49 Find 62 + 6.

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Count on 4 ones from 45.

First add the ones. Then, add the tens.

62 + 6 = 68

2 + 6 = 8 60 + 8 = 68

62 + 6 = 68

You can also add like this.

Tens Ones

6 +

2 6 8

First, add the ones. Tens Ones

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

3 2 5

3 4 7

2 7 9

Tens Ones

6 3

3 4 7

Add the tens.

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3 2

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Find 33 + 24.

Add the tens. Tens Ones

6 3 9

2 7 9

62 + 37 = 99 67

1. Fill in the missing numbers. Complete the equation. (a) 19

(b) 42 43 + 4 = (c)

(d)

91 91 + 5 =

71 75 + 2 =

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18 21 + 3 =

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Let’s Practice

(e)

60 62 + 4 =

2. Complete the equations. (b) 2 + 77 =

(d) 72 + 4 =

(e) 4 + 34 =

(f) 5 + 61 =

(g) 85 + 4 =

(h) 93 + 4 =

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(a) 72 + 3 =

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

(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

5 2

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1 1

6 2

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(e) (f) 4 6 + 4 1

6 3

2 5

(g) (h) 2 3 + 4 2 +

8 1

3 4

5 3

5. Complete the equations.

(b) 42 + 15 =

(e) 71 + 14 =

(f) 66 + 23 =

(g) 85 + 11 =

(h) 34 + 64 =

(d) 21 + 46 =

(a) 23 + 13 =

6. Fill in the blanks. Add. (b) 45 + 14 =

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(a) 18 + 31 =

(d) 13 + 85 =

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(e) 63 + 36 =

(f) 24 + 53 =

(h) 26 + 62 =

(g) 44 + 45 =

Solve It!

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

(a)

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

(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. (b) 42 + 15 =

(d) 21 + 46 =

(e) 12 + 72 =

(f) 64 + 24 =

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(a) 23 + 13 =

(a) 18 + 31 =

(b) 45 + 14 =

(d) 13 + 85 =

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2. Fill in the blanks. Add.

(e) 62 + 36 =

(f) 24 + 53 =

Addition With Regrouping Let’s Learn Tens

Ones

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Add 45 and 7. Tens Ones

5 7

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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

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

Tens Ones

Ones

Tens

5 7

Add 16 and 28. Tens

Tens Ones

Ones

1 2

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6 8

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

Tens Ones

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Tens

1 2

6 8 4

Tens Ones

Ones

1 2

6 8

Tens

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

Let’s Practice 1. Fill in the blanks.

ones +

Regroup the ones. Add the tens. 17 + 4 =

ones =

ones

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Add the ones.

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(a) Find 17 + 4.

ones =

ten +

ten

ten =

one

tens

(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. (b) 17 + 9 =

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(a) 18 + 3 =

(e) 6 + 44 =

(f) 7 + 75 =

(h) 88 + 8 =

(g) 68 + 9 =

(d) 34 + 9 =

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3. Fill in the blanks.

ones +

Add the ones. Regroup the ones.

ones =

ones

ten

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Add the tens. 45 + 18 =

ones =

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(a) Find 45 + 18.

tens +

ten =

ones

tens

(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. (b) 24 + 19 =

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(a) 12 + 18 =

(d) 54 + 27 =

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(f) 15 + 55 =

(e) 38 + 38 =

(h) 47 + 47 =

(g) 66 + 17 =

At Home 1. Add.

6 7

6 9

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(a) (b) 3 5

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

(b) 43 + 8 =

(d) 49 + 9 =

3. Add.

8 7

3 1

6 4

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2 1

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(a) (b) 1 5

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

(b) 28 + 18 =

(d) 75 + 15 =

Hands On

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Materials • One set of problem cards per pair of partnered students • Place value chart • Counters or Rekenrek

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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!

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Sophie bakes 3 types of cookies for her party. She bakes 24 pistachio cookies, 38 chocolate chip cookies, and 18 sugar cookies.

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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

3 6 5

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2 1 4

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First, align the ones and tens.

Add the ones. Remember to regroup the ones.

Tens Ones

Finally, add the tens.

Tens Ones

23 + 16 + 45 = 84

3 6 5 4

2 1 4

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. 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

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3 1 3

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(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

2. Add. 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

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2 3 1 2

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

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

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

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

At Home 1. Fill in the blanks. Add using columns.

(d) 14 + 25 + 38 =

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(b) 35 + 27 + 20 =

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(a) 16 + 36 + 45 =

(f) 43 + 29 + 22 =

(e) 50 + 15 + 18 =

2. Fill in the blanks. Add using columns.

(e) 16 + 16 + 13 + 25 =

(d) 12 + 39 + 21 + 15 =

R 88

(f) 26 + 17 + 21 + 22 =

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(b) 31 + 27 + 13 + 11 =

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(a) 11 + 16 + 25 + 20 =

Solve It!

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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

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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.

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

4 2 + 3 7 7 9

$56

$15

Keira’s money

Riley’s money

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56 + 15 = 71 Riley has $71.

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

6 1 5

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

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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.

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Child

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Adult ?

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

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

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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.

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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!

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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

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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 pond

to garden

+ +

Michelle walks

steps in total. 97

coffee

tea

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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.

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(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 Let’s count back and cross out the ones. 8 ones – 6 ones = 2 ones. Tens

Ones

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Find 38 – 6.

Tens Ones

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–

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. Ones

tio n

Tens

Tens Ones

–

5 3

7 4

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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.

tio n

(a) Find 29 – 6.

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Subtract the ones. ones –

ones =

ones

Subtract the tens.

tens – 0 tens =

29 – 6 =

tens

(b) Find 63 – 22.

Subtract the ones.

ones –

ones =

ones

Subtract the tens.

tens –

63 – 22 = 1 02

tens =

tens

2. Subtract.

–

7 5

–

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–

3 1

7 6

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(a) (b) 2 8

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.

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Now take away 20. Now take away 3 more. How many do you have left?

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Write a subtraction sentence showing what you did.

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

Tens

Then write your steps and the final equation.

104

Solve It!

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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.

–

4 3

–

6 2

8 2

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–

2 1

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(a) (b) 1 6

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

–

(b) 66 – 44 =

–

(d) 65 – 53 =

–

106

–

3. Fill in the blanks. Subtract vertically. (b) 78 – 45 =

–

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–

(d) 94 – 92 =

(e) 66 – 34 =

(f) 88 – 17 =

–

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(a) 76 – 16 =

107

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

Tens Ones

tio n

Tens

Ed uc a

–

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.

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

Tens Ones

Ones

Tens

–

14 4

8 2

Subtract 25 from 62. Tens

Ones

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Tens Ones

6 2

–

Tens

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

2 5

Ones

Tens Ones

–

6 2

12 2

5 7

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

Ones

Tens

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.

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(a) Find 22 – 8.

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Regroup 1 ten into 10 ones.

ones –

ten –

22 – 8 =

ones =

tens =

ones

ten

(b) Find 34 – 15.

Regroup 1 ten into 10 ones. ones –

ones =

tens –

ten =

34 – 15 =

110

ones ten

2. Subtract.

–

6 2

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–

3 1

3 4

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(a) (b) 2 4

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.

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(a) Find 33 – 17.

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Regroup 1 ten into 10 ones.

ones –

ones =

tens –

ten =

33 – 17 =

ones

ten

(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. (b) 64 – 46 =

–

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–

(d) 90 – 54 =

(e) 82 – 28 =

(f) 41 – 14 =

–

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(a) 71 – 15 =

113

1-Step Subtraction Word Problems

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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?

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Let’s Learn

Keira’s spelling score

Michelle’s spelling score

fewer points

Subtract the difference to find Michelle’s score.

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

114

9 3 – 1 2 8

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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?

sheep

cows

8 15 5 – 4 8 3 7

Regroup 1 ten into 10 ones before you subtract.

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

115

Let’s Practice

? girls

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boys

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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?

–

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

–

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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

donuts left

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donuts sold

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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?

–

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.

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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!

Ed uc a

tio n

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

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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

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

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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

Blake’s cars

Dominic’s cars ?

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

Ed uc a

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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

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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

fewer

Sophie’s stickers

5 3 – 1 2

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

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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.

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Find the number of roses sold in the afternoon.

Step 1

Roses sold in the morning Roses sold in the afternoon

fewer sold

4 15 5 – 1 6 3

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

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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?

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Step 1 Find the number of visitors on Sunday.

Saturday

Sunday ?

people visited the museum.

On Sunday,

Step 2 Add the number of visitors for both days.

Sunday

Saturday

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.

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Step 1 Find the number of geese on the lake.

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ducks geese ?

–

There are

fewer

–

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

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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 2

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Step 1

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 2

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Step 1

There are

goats and sheep on the farm.

129

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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

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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

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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?

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Step 1 Find the number of people sitting outside.

people inside

people outside

people sitting outside.

There are

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

people outside

people inside

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?

? fewer

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cupcakes

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Step 1 Find the number of cupcakes sold.

–

cupcakes were sold.

Step 2 Add the number of cookies and cupcakes sold.

cupcakes

cookies ?

cookies and cupcakes were sold in total. 133

Step 2

Ed uc a

tio n

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

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 2

Ed uc a

tio n

Step 1

Halle saved $

in March and April.

135

Looking Back 1. Fill in the blanks. Add.

(e) 67 + 9 =

3 4

6 4

(f) 18 + 27 =

(g) 33 + 48 =

136

4 3

Ed uc a

2 1

tio n

(a) (b) 3 1

(h) 5 + 6 + 7 =

2. Fill in the blanks. Subtract.

–

4 3

–

Ed uc a

–

4 1

(e) 74 – 38 =

–

7 7

tio n

(a) (b) 2 9

(f) 38 – 19 =

1 5

–

(h) 95 – 67 =

(g) 82 – 48 =

–

137

tio n

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

Ed uc a

–

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

+ +

Halle and Sophie bake 138

Sophie’s cookies

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?

Ed uc a

chickens in yard

tio n

Step 1 Find the number of chickens in the coop.

chickens in coop

fewer

–

There are

chickens in the coop.

Step 2 Add to find the total number of chickens.

chickens in yard ?

There are

chickens in coop

= chickens in all. 139

Numbers to 1,000

Ed uc a

tio n

Anchor Task

140

1 41

tio n

Ed uc a

Hundreds, Tens and Ones Let’s Learn together to make one

tio n

We can put 10

10 ones makes 1 ten. 10 ones

How many

1 ten

altogether?

Ed uc a

Tens Ones 2

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

altogether?

How many

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

142

Tens Ones 6

Let’s put 10

together.

10 tens

Ed uc a

tio n

10 tens make 1 hundred.

1 hundred

10 tens = 1 hundred We write: 100 We read: one hundred

100, 200, 300, 400.

Let’s put some hundreds together and count. How many blocks are there?

We write: 400 We read: four hundred

143

altogether?

500

Ed uc a

tio n

How many

5 hundreds 6 tens 5 ones = 565 500 + 60 + 5 = 565 We write: 565 We read: five hundred and sixty-five together.

Let’s put 10

We write: 1000 We read: one thousand 144

10 hundreds make 1 thousand.

Let’s Practice 1. Write the number of sticks.

tio n

(a)

Ed uc a

(b)

(c)

(e)

(d)

145

2. Match.

Ed uc a

one hundred and six

523

tio n

six hundred and twenty-one

five hundred and twenty-three

621

106

three hundred and sixty-three

951

nine hundred and fifty-one

146

363

3. Write the number. (a)

tio n

two hundred and twenty-nine

(b)

Ed uc a

nine hundred and ninety-three

(c)

(d)

five hundred and sixty-nine

five hundred and twenty-three

(e)

three hundred and fifty-one

147

4. Write the number in words. (a)

tio n

(b)

Ed uc a

(c)

(d)

(f)

(e)

(g)

(h)

1 48

5. Write the number in numerals and words.

tio n

(a)

Ed uc a

(b)

(c)

(d)

149

6. Fill in the blanks.

100 + 30 + 4 =

Ed uc a

(b)

300 + 40 + 8 = (c)

400 + 20 + 1 = (d)

700 + 40 + 9 = 150

tio n

(a)

Ed uc a

tio n

(e)

(f)

1 51

Hands On

Ed uc a

tio n

Model these numbers.

(a) 42 (b) 321

152

Solve It! Match the numbers in 2 ways.

tio n

Nine hundred and forty-three

Ed uc a

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.

Ed uc a

four hundred and fifty

two hundred and twenty-six

five hundred and thirty-six

six hundred and twenty-two

154

two hundred and forty

622

tio n

five hundred and forty

450

536

240

540

226

2. Write the number in numerals and words.

tio n

(a)

Ed uc a

(b)

3. Write the number in words.

(b)

(a)

(c)

(d)

155

4. Fill in the blanks.

Ed uc a

tio n

(a)

500 + 30 + 8 =

(b)

600 + 5 =

(c)

156

(e)

Ed uc a

tio n

(d)

1 57

Place Value to 1,000 Let’s Learn

Hundreds

tio n

How many buttons are there altogether? Tens 10 100

100

Ed uc a

100

Ones

100

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? Tens

Ones

Ed uc a

tio n

Hundreds

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)

Tens

Ed uc a hundreds

(b)

Ones

tio n

Hundreds

tens

ones

Tens

Ones

Hundreds

160

hundreds +

tens

ones

Hundreds

Tens

(d)

tens

Ed uc a

hundreds +

Ones

tio n

(c)

ones

Tens

Ones

Hundreds

hundreds +

tens

ones

161

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

+7=

tio n

267

Ed uc a

(b) 506

(c)

+6=

(d)

400 + 40 + 9=

+ 80 +

790

+ 90 +

987

(e)

1 62

3. Write the value of the digit.

Ed uc a

tio n

(a) (b)

(e) (f)

(g) (h)

(i) (j)

163

4. Match.

0 6

0 8

5 0 2 9 8 2

0 4

0 2

9 01 9 8

8 5 9 8

0 4 9 8

6 3

0 9

9 5 8 5 9 8

0 5

2 0 9 9 8

Ed uc a

tio n

9 164

5. Fill in the blanks. (a)

(b)

2 7 0

(c)

Ed uc a

tio n

4 0 8

165

6. Fill in the blanks. (a) .

The value of the digit 3 is

The value of the digit 2 is

Ed uc a

(b)

tio n

132

The value of the digit 1 is

206

(c)

879

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

(d)

The value of the digit 1 is

610 166

The value of the digit 6 is

. .

(e)

The value of the digit

is 2.

The value of the digit

is 80.

The value of the digit

is 0.

Ed uc a

(f)

is 900.

tio n

982

The value of the digit

490

(g)

715

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.

(h)

348

1 67

(i) is in the hundreds place.

The digit

is in the ones place.

The digit

(j)

is in the tens place.

is in the ones place.

Ed uc a

The digit

tio n

672

The digit

906

(k)

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.

194

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.

(l)

168

837

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.

tio n

(a)

Ed uc a

285

729

(b)

169

(c)

tio n

four hundred and sixty-three

Ed uc a

(d)

(e)

seven hundred and nine

eight hundred and twenty-four

170

Materials Place value cards Number disks (ones, tens, hundreds) Place value charts to 100 (unlabelled)

tio n

Hands On

Ed uc a

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)

Tens

tens

Ed uc a

hundreds

(b)

Ones

tio n

Hundreds

ones

Tens

Ones

Hundreds

172

hundreds +

tens

ones

2. Match.

0 8

0 5

0 4

3 8 4

0 6

2 9 2

7 4 6

0 9

4 6

0 6

9 5 2

Ed uc a

tio n

7 6 4

173

3. Fill in the blanks. (a)

(b)

6 2

5 0

(c)

Ed uc a

174

tio n

3 5 9

4. Write the number.

Ed uc a

tio n

(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.

Ed uc a

tio n

Our place value poster shows 324.

Find the value of each sticker.

= =

(a)

Find the values on each place value chart.

176

Ed uc a

tio n

(b)

(d)

(c)

177

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

Ed uc a

tio n

This sign means greater than.

42 is greater than 34. 42 > 34

This sign means smaller than.

Compare 55 and 63.

55 is smaller than 63. 55 < 63 178

Compare 627 and 569. Which number is smaller? Tens

Ones

Ed uc a

tio n

Hundreds

6 2 7

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? Tens

Ones

Ed uc a

tio n

Hundreds

The hundreds are the same.

Compare the values in the tens place.

4 7 8

7 tens is greater than 4 ones.

4 4 6

478 > 446 180

So, 478 is greater than 446.

Compare 629 and 626. Which number is greater? Tens

Ones

Ed uc a

tio n

Hundreds

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? Tens

Ones

Ed uc a

tio n

Hundreds

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.

tio n

(a)

Ed uc a

(b)

(c)

(d)

183

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

100

The greater number is (b) 100

100

Ed uc a

100

tio n

100

100 10

100

The greater number is 184

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

Ed uc a

tio n

(a)

The smaller number is

(b)

The smaller number is

185

4. Circle the greater number. (a)

tio n

(b)

Ed uc a

(c)

(d)

5. Circle the smaller number.

(b)

(a)

(c)

(d)

186

6. Use the word ‘greater’ or ‘smaller’ to complete the sentences. than 102.

(b) 604 is

than 601.

than 939.

tio n

(a) 120 is

(e) 645 is (f) 892 is

than 770.

Ed uc a

(d) 713 is

than 644.

than 889.

7. Use > or < to fill in the blanks. (a) 450 (c) 548

550 (b) 604

640

640 (d) 802

820

768 (f) 151

(g) 998

899 (h) 627

(e) 761

515 276

279 (j) 333

(k) 710

829 (l) 509

951

(i) 287

1 87

8. Which is the greatest? Which number is the smallest? Tens

Ones

is the greatest.

(b)

is the smallest.

is the greatest.

is the smallest.

Ones

1 88

Tens

Hundreds

(c)

tio n

Hundreds

Ed uc a

(a)

Hundreds

Tens

Ones

is the greatest.

is the smallest.

9. Circle the greatest number. (a)

tio n

(b)

Ed uc a

(c)

(d)

10. Circle the smallest number.

(b)

(a)

(c)

(d)

189

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

greatest

(b)

smallest

671

greatest

677

Ed uc a

716

125

tio n

432

234

smallest

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

767

smallest

(b)

smallest

190

greatest

484

480

670

777

greatest

508

At Home 1. Tick the set that shows the greater number.

Ed uc a

tio n

(a)

(c)

(b)

191

2. How many buttons are there? Fill in the blanks.

100

The greater number is (b) 100

100

Ed uc a

100

tio n

(a)

100

The smaller number is 192

3. Use the word ‘greater’ or ‘smaller’ to complete the sentences. than 100.

(b) 67 is

than 49.

tio n

(a) 80 is

than 139.

(d) 222 is

than 202.

(e) 775 is (f) 946 is

Ed uc a

than 879. 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

205 (j) 355

299

(k) 799

800 (l) 647

640

(i) 203

193

5. Circle the greatest number.

tio n

(a)

(b)

Ed uc a

(c)

(d)

6. Circle the smallest number.

(b)

(a)

(c)

(d)

194

7. Arrange the numbers in order from the greatest to the smallest.

378

376

greatest

(b)

smallest

485

greatest

558

Ed uc a

580

309

tio n

(a)

smallest

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

176

112

greatest

smallest

(b)

387

400

smallest

510

greatest

195

Solve It!

(a)

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

(b)

Ed uc a

Sophie’s number is

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

Halle’s number is

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

(c)

Keira’s number is

196

tio n

Cross out the numbers that do not match the clues. Find each child’s number.

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

(e)

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

Ethan’s number is

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

(f)

Ed uc a

Wyatt’s number is

tio n

(d)

Jordan’s number is

197

Odd and Even Numbers Let’s Learn

tio n

Count the cubes in each set. 2

Notice that the cubes can be paired evenly. 4

Ed uc a

2, 4, 6, 8 and 10 are even numbers.

Count the cubes in each set.

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

5 7 9

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

tio n

Is 24 an odd or an even number?

Ed uc a

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

eg 81

99 100

R 2 00

Ed uc a

tio n

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

80 90

Ed uc a

tio n

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

99 100

2 01

Let’s Practice

tio n

1. Circle pairs of buttons. Circle odd or even.

odd even

Ed uc a

odd even

202

odd even

2. Write ‘odd’ or ‘even’.

Ed uc a

tio n

(a) (b) (c)

(f)

(d) (e)

203

3. Write the number and circle odd or even.

tio n

odd

even

odd even

Ed uc a

even

odd even 2 04

odd

tio n

even

Ed uc a

odd

even

odd

even

odd even

205

4. Circle the odd numbers. 6

Ed uc a

5. Circle the even numbers.

tio n

4 1 13 6

6. Write 4 even numbers between 20 and 40. ,

7. Write 4 odd numbers between 50 and 70.

206

100

13 23 93

Ed uc a

tio n

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

207

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

103

Ed uc a

324

tio n

655

561

789

902

208

350

292

121

tio n

742

999

674

317

Ed uc a

766

209

At Home

tio n

1. Write the number and circle odd or even.

odd

odd even

Ed uc a

even

odd even 21 0

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

tio n

61 43 3 90

Ed uc a

7 2 16 52

34 8 70 25

3. Write 4 even numbers between 60 and 80.

4. Write 4 odd numbers between 80 and 100.

211

Solve It!

Ed uc a

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

tio n

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

• 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

212

233

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

Ed uc a

tio n

• 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.

tio n

(a) The squirrel crosses the pond by stepping on 6 even numbers.

Ed uc a

(b) The hedgehog crosses the pond by stepping on 6 odd numbers.

hedgehog

squirrel

21 4

13 14 17

rabbit

Ed uc a

tio n

(d) The monkey crosses the pond by stepping on 4 odd numbers.

monkey

715

653

431

158

543

222

232

337

186

458 708

769 250

600

835

215

Skip Counting and Number Patterns Let’s Learn

tio n

Let’s count in 2s. What number comes next?

Ed uc a

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.

21 6

tio n

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

Ed uc a

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. 2

217

Ed uc a

60 + 10 = 70. The next number is 70!

tio n

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

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

100

200

300

400

500

Ed uc a

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

tio n

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

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.

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

510

770

780

219

Let’s Practice 1. Skip count in 2s. Fill in the blanks. ,

(b) 46, 48, 50, 52,

Ed uc a

2. Skip count in 5s. Fill in the blanks.

tio n

(a) 2, 4, 6, 8,

(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)

tio n

The numbers show skip counting by

The next 2 numbers in the pattern are

and

Ed uc a

(b)

The numbers show skip counting by

and

120

220

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

The next 2 numbers in the pattern are

(d)

The next 2 numbers in the pattern are (c)

and

420

320 . and

. 221

(e)

222

227

232

237

The numbers show skip counting by

175

275

375

The numbers show skip counting by

The next 2 numbers in the pattern are

(g)

356

366

376

The numbers show skip counting by

and

386

801

803

805

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

22 2

396

The next 2 numbers in the pattern are

(h)

475

Ed uc a

and

tio n

The next 2 numbers in the pattern are

(f)

242

and

807

809

. and

6. Find the missing number. Fill in the blanks. (a) 46

tio n

The numbers show skip counting by

(b) 475

Ed uc a

The missing number in the pattern is

495

505

515

525

The numbers show skip counting by

535 .

The missing number in the pattern is (c)

102

104

The numbers show skip counting by

545

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 missing number in the pattern is (f) 304

306

308

310

314

Ed uc a

302

The numbers show skip counting by

299

399

499

599

799

The numbers show skip counting by

899

999

The missing number in the pattern is

316

The missing number in the pattern is (g)

220

tio n

The numbers show skip counting by

215

(h)

260

360

460

560

160

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.

tio n

(a) Continue skip counting in 2s.

104

Ed uc a

(b) Continue skip counting in 100s.

360 225

Ed uc a

633

tio n

102

(d) Continue skip counting in 10s.

22 6

888

2. Fill in the blanks.

304

Ed uc a

(b) Skip count in 10s.

tio n

(a) Skip count in 2s.

130

707

(d) Skip count in 100s.

227

Ed uc a

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

tio n

Solve 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

Ed uc a

tio n

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

Ed uc a

tio n

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.

4+4

Ed uc a

5 groups of 3

4+4+4

tio n

2 groups of 4

3+3+3+3

2 groups of 5

5+5+5

3 groups of 4

4 groups of 2

2+2+2+2

3 groups of 5

3+3+3+3+3

4 groups of 3

5+5

231

2. Fill in the blanks.

3 + 3 + 3 = groups of 3.

Ed uc a

There are (b)

2 + 2 + 2 + 2 =

groups of 2.

There are (c)

5 + 5 + 5 + 5 = There are 232

tio n

(a)

groups of 5.

(e)

groups of 4.

groups of

There are (f)

Ed uc a

There are

tio n

(d)

There are

+ groups of

= . 233

3. Circle to make equal groups. Complete the equation.

Ed uc a

tio n

(a) Circle 3 groups of 4.

(b) Circle 5 groups of 2.

23 4

Ed uc a

tio n

4. Match.

235

5. Color the arrays. Write an addition equation.

Ed uc a

5 + 5 = 10

tio n

(a) Show 2 rows of 5.

(b) Show 3 rows of 3.

236

Ed uc a

(e) Show 4 rows of 3.

tio n

(d) Show 5 rows of 3.

(f) Show 5 rows of 5.

237

At Home

There are (b)

groups of 4.

There are

groups of

(c)

Ed uc a

tio n

1. Fill in the blanks. (a)

There are 23 8

+ groups of

= .

2. Circle to make equal groups. Complete the equation.

Ed uc a

tio n

(a) Circle 2 groups of 5.

(b) Circle 5 groups of 4.

239

3. Color the grid. Write an addition equation.

Ed uc a

tio n

(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.

tio n

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.

Ed uc a

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.

Ed uc a

tio n

(a)

(b)

(a)

2. Fill in the blanks.

500 +

2 42

+9=

tio n

(b)

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

Ones

Ed uc a

Hundreds

hundreds

tens

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. is in the hundreds place.

The digit

is in the ones place.

The digit

is in the tens place.

6. Fill in the blanks. (a)

(b)

Ed uc a

9 0 2

837

tio n

The digit

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

smallest

566

Ed uc a

666

tio n

890

greatest

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

101

128

499 590

823

642

751

888

778

186

637

256

368 700

310

243 990

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.

Ed uc a

tio n

(a) Circle 2 groups of 5.

(b) Circle 5 groups of 5.

2 46

Ed uc a

tio n

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

Ed uc a

Hundreds

tio n

Anchor Task

2 48

Tens

R Ed uc a

Ones

tio n

249

Adding 100s and 10s Let’s Learn

tio n

Find 400 + 200.

Ed uc a

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.

Add the tens.

5 1 6

3 0 3

Find 534 + 40.

Ed uc a

253 + 10 = 263

tio n

5+1=6 50 + 10 = 60

Add the tens. T

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. 2 3

0 0

6 3

0 0

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

6 2

0 0

Ed uc a

tio n

(a) (b) 1 0 0 2 0 0 + +

(h) 800 + 100 =

(g) 300 + 400 =

(i) 500 + 100 =

2 52

(j) 400 + 500 =

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

4 5

0 0

tio n

2 3

Ed uc a

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

(i) 649 + 40 =

3 5

9 0

(h) 864 + 30 =

(g) 322 + 40 =

7 0

(j) 727 + 60 =

253

3. Fill in the missing numbers. (a)

300

600

400

800

200

900

(c)

100

Ed uc a

(b)

tio n

600

(d)

254

4. Fill in the missing numbers. (a)

(c)

Ed uc a

(b)

tio n

652

556

698

774

628

(d)

255

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

600 The rule is

(b)

500

700

500

938

412

300

tio n

200

Ed uc a

(a)

462

The rule is 2 56

988 .

674

447

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

(d) 400 + 200 =

(e) 300 + 400 =

(f) 100 + 800 =

2. Fill in the missing numbers.

= 400 (b) 300 +

Ed uc a

(a) 200 +

tio n

(a) 500 + 300 =

+ 400 = 800 (d)

+ 400 = 500

= 900 (f) 300 +

+ 100 = 200 (h)

= 800

= 600

+ 700 = 900

3. Complete the equation.

(b) 10 + 879 =

(d) 80 + 616 =

(e) 60 + 328 =

(f) 80 + 911 =

(a) 534 + 10 =

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!

Ed uc a

Add the ones.

tio n

Find 35 + 44.

Add the tens.

Tens Ones

35 + 44 = 79

Tens Ones

2 7 9

6 2

Add the tens. Tens Ones

6 2 8

2 7 9

62 + 27 = 89 258

5 4 9

Find 62 + 27. Add the ones.

3 4

Tens Ones

3 4 7

5 4 9

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

(g) 71 + 28 =

(d) 33 + 35 =

(e) 54 + 32 =

Ed uc a

tio n

(b) 21 + 74 =

(f) 71 + 18 =

(h) 25 + 53 =

2 59

Let’s Learn

Let’s add 245 and 23. Hundreds

Tens

Ones

tio n

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?

4 2

5 3 8

Ed uc a

Add the tens.

4 2 6

5 3 8

Tens

Ones

Hundreds

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?

Tens

Ones

Ed uc a

Hundreds

tio n

Add the ones.

Let’s add 255 and 314.

2 3

5 1

5 4 9

Add the tens.

Tens

Ones

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

2 3

5 1 6

5 4 9

Add the hundreds.

Hundreds

2 3 5

5 1 6

5 4 9 261

Let’s Practice 1. Add. (a)

Tens

Ones

tio n

Hundreds

2 6

5 3

6 2

Ed uc a

(b)

Tens

Ones

Hundreds

2 62

(c)

Tens

Ones

tio n

Hundreds

2 5

4 4

4 2

5 3

Ed uc a

5 1

(d)

Tens

Ones

Hundreds

6 3

263

2. Add.

(e)

2 6

(b)

3 1

2 5

(d)

4 1

2 7

(k)

2 64

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

1 4

(f)

4 0

2 4

(h)

1 4

6 3

0 9

(j)

5 3

6 2

(l)

1 5

(g)

(i)

tio n

Ed uc a

(a)

3. Add.

(b) 308 + 71 = 5 3

3 4

6 2

(g) 110 + 801 = 1 8

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

8 1

(f) 152 + 735 =

0 7

(d) 620 + 267 =

(e) 264 + 624 = 2 6

Ed uc a

1 1

1 2

tio n

(a) 251 + 32 =

0 1

4 3

(j) 354 + 645 = 6 1

9 0

3 6

265

Hands On

Ed uc a

tio n

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 =

Tens

Ones

Ed uc a

tio n

Hundreds

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. (b) 421 + 53 =

tio n

(a) 252 + 6 =

Ed uc a

(f) 624 + 342 =

(e) 530 + 306 =

(d) 703 + 104 =

(g) 471 + 426 =

26 8

(h) 154 + 742 =

2. Add. Show your working. (b) 972 + 6 =

tio n

(a) 654 + 14 =

(d) 313 + 362 =

Ed uc a

(f) 540 + 307 =

(e) 703 + 254 =

(h) 563 + 432 =

(g) 85 + 912 =

269

(i) 438 + 61 =

(j) 606 + 271 =

(l) 818 + 151 =

Ed uc a

(k) 416 + 552 =

tio n

(m) 18 + 981 =

(n) 180 + 717 =

(o) 332 + 656 =

270

(p) 541 + 436 =

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

1 1 0 + 4 4 5 5 5

(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

(j)

5 1 2 + 2 7 6 7 8 8

R (i)

2 4 1 + 4 7 6 6 8

Ed uc a

(b)

tio n

(a)

3 8 6 + 5 0 1 8 8 7

271

Addition With Regrouping Add 36 and 28. Tens

Ones

tio n

Remember This!

Tens Ones

3 2

Ed uc a

6 8

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

Add the ones.

Tens Ones

Ones

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

6 8 4

Add the tens.

Tens

3 2

Tens Ones 1

3 2

6 8

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

(g) 27 + 48 =

(d) 66 + 29 =

(e) 37 + 35 =

Ed uc a

tio n

(b) 56 + 25 =

(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 T

3 0

6 7 3

tio n

2 2

Ed uc a

Regroup the ones.

13 ones = 1 ten 3 ones

Tens

Hundreds

236 + 207 = 443

2 74

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

2 2 4

3 0 4

6 7 3

Find 262 + 155. Tens

Ones

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

2 1

6 5

2 5 7

tio n

Hundreds

Ed uc a

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

Hundreds

Tens

Ones

11 tens = 1 hundred 1 ten

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

5 8

8 6 4

tio n

3 2

Ed uc a

Regroup the ones.

14 ones = 1 ten 4 ones

Tens

Hundreds

2 76

Ones

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

8 6 4

8 4

Hundreds

Tens

Ones

tio n

Regroup the tens.

Tens

Ones

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

8 6 4

2 6

8 4

Hundreds

Ed uc a

14 tens = 1 hundred 4 tens

358 + 286 = 644 277

Let’s Practice 1. Add. (a)

Tens

Ones

tio n

Hundreds

8 6

8 4

2 5

Ed uc a

(b)

Tens

Ones

Hundreds

278

3 4

(c)

Tens

Ones

tio n

Hundreds

8 5

8 9

6 3

6 2

5 5

Ed uc a +

5 2

(d)

Tens

Ones

Hundreds

279

2. Add.

(e)

8 6

(b)

7 7

2 5

(d)

4 1

2 7

1 4

(f)

4 3

4 9

(h)

7 9

(j)

6 6

8 3

3 8

(l)

3 5

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

2 4

(k)

2 80

1 5

(g)

(i)

tio n

Ed uc a

(a)

3. Add.

(b) 658 + 81 = 5 5

6 4

7 6

(g) 115 + 877 = 1 8

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

8 1

(f) 555 + 268 =

5 8

(d) 570 + 367 =

(e) 179 + 168 = 1 1

Ed uc a

7 1

1 2

tio n

(a) 451 + 52 =

5 7

3 3

(j) 267 + 576 = 6 9

9 4

2 5

281

Hands On Let’s add mentally! Tens

Ones

Ed uc a

tio n

Hundreds

282

Set up this expression on your chart.

Let’s add by place value! Start by adding the tens disks. 327 + 50

377 + 3

Ed uc a

Then add the ones disks:

tio n

327 + 53

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

(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. (b) 681 + 53 =

tio n

(a) 554 + 9 =

Ed uc a

(f) 699 + 176 =

(e) 578 + 289 =

(d) 505 + 105 =

(g) 479 + 453 =

2 84

(h) 287 + 668 =

2. Add. Show your working. (b) 372 + 86 =

tio n

(a) 654 + 77 =

(d) 383 + 332 =

Ed uc a

(f) 549 + 375 =

(e) 745 + 189 =

(h) 508 + 432 =

(g) 85 + 836 =

285

(i) 558 + 268 =

(j) 696 + 174 =

(l) 376 + 530 =

Ed uc a

(k) 487 + 365 =

tio n

(m) 58 + 268 =

(n) 654 + 258 =

(o) 763 + 198 =

286

(p) 676 + 264 =

Solve It!

tio n

Ethan left his mathematics notebook outside again! Rain has washed away some of the numbers. Write the missing numbers.

2 4 1 + 4 9 7 7 3 8

(a)

1 1 7 + 4 4 5 5 6 2

(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

5 6 6 + 3 9 7 9 6 3

(h)

2 6 6 + 5 9 9 8 6 5

3 8 6 + 2 4 8 6 3 4

(j)

2 7 9 + 5 1 2 8 0 1

Ed uc a

(g)

(b)

(i)

2 87

Looking Back 1. Complete the equation. (b) 100 + 500 =

(d) 400 + 300 =

(e) 200 + 700 =

(f) 100 + 100 =

(g) 200 + 300 =

(h) 500 + 300 =

(i) 300 + 300 =

(j) 400 + 500 =

Ed uc a

tio n

(a) 100 + 200 =

2. Complete the equations.

(b) 230 + 40 =

140 + 100 =

230 + 400 =

(d) 66 + 20 =

407 + 300 =

66 + 200 =

(e) 889 + 10 =

(f) 520 + 30 =

889 + 100 =

520 + 300 =

(a) 140 + 10 =

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.

(e) 553 + 234 = 5 2

3 1

6 2

3 4

Ed uc a

4 2

5 3

3 4

0 4

8 1

(h) 751 + 206 =

(j) 324 + 324 =

(i) 157 + 131 =

4 4

(f) 308 + 441 =

(g) 456 + 232 =

3 3

tio n

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

289

5. Add.

(e) 459 + 142 = +

4 1

5 4

9 2

290

2 3

3 4

(h) 536 + 74 =

(j) 187 + 655 =

(i) 677 + 296 =

5 2

8 9

5 7

(f) 398 + 487 =

(g) 275 + 275 =

6 5

Ed uc a

4 4

tio n

(a) (b) 2 1 7 + 1 1 7

9 8

8 7

6. Add. Show your working. (b) 326 + 77 =

tio n

(a) 186 + 68 =

(d) 649 + 123 =

Ed uc a

(f) 421 + 179 =

(e) 78 + 769 =

(h) 543 + 369 =

(g) 38 + 685 =

291

tio n Ed uc a al eg

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