Let's Do Mathematics 3 – Worktext A by Regal_Education

n ca t Wo r k t e xt x

for le arne arners 8 - 9 y year ears old

Let’s Do Mathematics

Re ga le du ca tio n

Let’s Do Mathematics is a series covering levels K-6 and is fully aligned to o the United States Common Core State Standards (USCCSS). Each level consists of two books boo (Book A and Book B) and combines textbook-style presentation of concepts oncepts pts as well as workbook practice.

Central to the USCCSS is the promotion of problem-solving skills ls and reasoning. Let’s Do Mathematics achieves this by teaching and presenting ng g concepts through throu a problem-solving based pedagogy and using the concrete-pictorial-abstract pictorial-abstract torial-abstract ((CPA) approach. Learners acquire knowledge and understanding a ng off concepts through thr th guided progression beginning with concrete examples and experiences which then w flow into pictorial representations and finally mastery at the and symbolic level. e abstract an a This approach ensures that learners develop a fundamental understanding of concepts damental ental understa underst rather than answering questions by learned procedures edures es and algorithms. algorit

Key features of the series include:

Anchor Task

Numbers to 10,000

Anchor Task

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

Let’s Learn n

Let’s Learn

When we take a whole and divide it into equal parts, we get fractions. The whole orange is cut into 2 equal pieces. Each piece is a half which we write as 1 .

Concepts are presented sented in a clear and a colorful manner.. Worked rked problems problem provide learners step-by-step ers with ith guided step-by ste progression through Series gh examples. Ser mascots provide rovide de guidance through throug throu helpful comments new nts and nd observations when w concepts pts are e introduced. introduce

Let’s cut an apple

into 4 equal pieces . Each piece is a quarte r.

2 halves make 1 whole.

1 4

1 whole

1 2

1 whole

half

The numbers of a

1 2

half

fraction have specia l names.

1 2

quarter

1 4

quarter

1 2

1 4

quarter

1 4

quarter

4 quarters make 1 whole.

1 4

The top number is called the numerator.

The bottom numb er is called the denom inator. A half has a n numerator of 1.

...and a denominator of 2!

Ethan eats 3 pieces of the apple. We say he eats 3 quarte apple. We can write rs of the this as a fraction 3 . 4

1 4

I ate 3 quarters of the apple!

1 4

212

213

Let’s Practice

and her baby A mother elephant g. of 4,670 kg. have a combined mass of 482 kg The baby has a mass is the mother? How much heavier

Let’s Practice m drive 1,205 km A truck driver has to stops for a to deliver his load. He destination. rest 478 km from his d? How far has he travele

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.

Step 1 mother. Find the mass of the ?

478 km trip remaining

trip traveled

mother

baby

– –

Re ga le du ca tio n

1,205 km

–

The truck driver has

traveled

–

km.

g kg.

The mother has a mass

s carnival, At the school athletic 4,675 the red team scored scored points. The blue team more 3,858 points. How many score points did the red team than the blue team?

Step 2 . difference in masses Subtract to find the ?

baby

–

mother m

red team

blue team

–

kg heavier than her

is m The mother

–

more points

eam scored The red team

baby.

139

am. team. than the blue team

138

(b) Home At

Count the number of different creatu re in the garden. Record your data on the next page.

At Home

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.

Repre Repressent ent your data in the

bar graph below.

Number of Creatu res

10 8

272

Hands On

do an activity.

Tell your friends the time you

One friends shows the time

using their arms.

The other friend shows the

time on a clocks.

roles h roles. ch Switch

273

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

Solve it!

Riley spent her summe r vaction in Europe. Complete the division equations and match h the letters to find the first city she visited. T

Solve It!

0 90 9

6÷2=

6÷3=

Activities that require learners earners ers to apply logical lo reasoning and problem-solving. are often em-solving. solving. Problems Proble posed which do not for solving ot have e a routine strategy strate s them. Learners are encouraged ncouraged to think creatively and apply a range of problem-solving roblem-solving heuristics. heu

8÷2=

6÷1=

14 ÷ 2 =

15 ÷ 3 =

279

Looking king Back

Looking Back

Find the area of each figure in square (b) (a)

fi h figure. Find the perimeter off the

12 m

units.

11 m

10 m

Consolidated olidated practice w where learners demonstrate on a monstrate their understanding underst und range nge of concepts taught taugh within a unit.

Area =

square units.

17 m

square units.

Perimeter =

(d)

(c)

figure. Find the area and perimeter of each

1 cm

Area =

square units.

Area =

Find the area of the rectangles. (b) (a) 12 cm

square units.

10 m

4 cm

Area =

Perimeter =

Area =

191

190

iii

Re ga le du ca tio n

Contents 1 Numbers to 10,000

Counting to 10,000 Numbers to 10,000 Place Value ers Comparing and Ordering Numbers Number Patterns Odd and Even Numbers Rounding Numbers

2 Addition

Addition Without Regrouping rouping Addition With Regrouping ouping ping Mental Addition Within n 100 10 Word Problems

3 Subtraction

Subtracting and 1,000s ing 10s, 100s a ction n Withou Without Re Subtraction Regrouping raction tion With Reg Subtraction Regrouping Word rd Problems Problem

2 4 12 20 32 43 52 56 66 66 77 86 94

106 107 119 128 136

4 Multiplication

Re ga le du ca tio n

Repeated Addition Repeated Addition Word Problems Multiplying by 2 Multiplying by 3 Multiplying by 4 Multiplying by 5 Multiplying by 10 Multiplying by 6 Multiplying by 7 Multiplying by 8 Multiplying by 9 nd 9 Multiplying by 6, 7, 8 and oblems Multiplication Word Problems

146 146 160 168 16 177 186 197 06206 218 226 234 242 253 260

5 Division (1)

Sharing Equally qu qua Grouping Equally y2 Dividing by Dividing by 3 Dividing g by 4 ing g by 5 Dividing iding g by 10 Dividing

272 272 282 289 294 299 304 309

Numbers to 10,000

Anchor Task

Counting to 10,000

Re ga le du ca tio n

Let’s Learn

Count on in hundreds from 100. +100

100

+100

200

+100

300

+100

400

+100

500

+100

600

+100

700

+100 10 100

800

+1 +100

900 1,000 9

100 more than 900 is 1,000. We read d 1,000 00 as one on thousand.

000. 00. Count on in thousands from 1,000.

+1,000 +1,000 +1,000 000 +1,000 +1,00 +1,000 +1,000 +1,000 1,000 +1,000 2,000 +1,000 3,000 000 4,000 5 5,000 6,000 7,000 8,000 9,000 10,000

1,000 00 more than 9,000 9,0 is 10,000. We read 10,000 10,00 as a ten thousand.

Count on in tens. (a)

+10

Re ga le du ca tio n

+10

6,320

(b)

6,330

+10

8,480

6,340

+10

8,490

6,350

+ +10

+10

8,500

6,360 6,360

8,510 8,510

8,520 85

Count on in hundreds. (a)

+100

7,720

(b)

+100

7,820

+100

6,955

+100 00

77,920 ,920

+100 0

7,055 7,055

+100

8,020

++100

7,155 71

8,120

+100

7,255

7,355

Count on in thousands. housands. usands. (a)

+1,000 00

5 ,9 999 5,999

(b) b)

+1 0 +1,000

4,250 25 50 0

+1,000 + +1,0

6,9 99 6,999

+1,000

5,250

+1,000

7,999

+1,000

8,999

+1,000

6,250

9,999

+1,000

7,250

8,250

Let’s Practice Count the jelly beans.

Re ga le du ca tio n

(a)

100 0

100

210

(b)

100

1100 00

100

(c)

10 0

100

Count the blocks.

Re ga le du ca tio n

Count on in 10s.

(a)

425,

(b)

170,

(c)

0, 680

(d)

8,365 ,365,

(e (e)

7,050,

(f)

4,980, 4,98 4

Count on in 100s.

1,200,

Re ga le du ca tio n

(a)

(b)

3,150,

(c)

4,700,

(d)

6,363,

(e)

7,790,

Count on in 1,000s. (a)

260,

(b)

1, 400 0,

(c)

210 10, 3,210

(d)

4,980,

(e) (

5,000, 5,00

Hands On

ca tio n

Form circles of 4 to 6 students. Each group receives a bean an bag or o oard and say a ball. Your teacher will write a number on the whiteboard count-on number. The student with the bean bag counts on from m the number on o the ext person in the whiteboard and throws the bean bag to the next n pass ass the bean bea bag group. They continue counting on and then along. Continue until the teacher says 'Stop!' op!' Count on in 50s!

4,600!

At Home Count the lollipops.

Re ga le du ca to n

(a)

1,000

100

1100 00

100

(b)

100

1,000

100

1,000

Count the blocks.

Re ga le du ca tio n

(a)

(b)

Count on in 1000s. 000s. 0s.

(a)

30 0,

(b)

1,, 7 700 00,

(c)

2,803 2,80 ,

(d))

4,150, 4,15 4

Numbers to 10,000

Re ga le du ca tio n

Let’s Learn

Find the number represented by the blocks.

(a)

3 thousands

We say: We write:

(b)

2 hundreds

8 tens ten

Three thousand, two hundred ndred eighty-four. eight 3,284.

4 thousands

6 hundreds

1 ten

We say: We write:

(c)

6 ones

our thousan thous Four thousand, six hundred sixteen. 6. 4,616.

9 thousands

4 tens

sa We say: t We write:

4 ones o

Nine thousand, forty-seven. 9,047.

7 ones

Find the number represented in the place value chart. Thousands

Hundreds

Tens

Ones

Re ga le du ca tio n

(a)

We say: We write:

(b)

Thousands

We say: We write:

(c)

Tens

O Ones

Hundreds ds

Tens T

Ones

Tens

Ones

Six thousand, thous housand, and, nine. n 6,009. 009

Thousands ds

We We say: We write:

Hundreds

Eight thousand,, four hundred forty. 8,440.

Thousands

We say: We write:

(d)

Seven thousand, five hundred thirty-nine. 7,539.

Hun Hundreds

Five thousand, nine hundred. 5,900. 5

Let’s Practice How many jelly beans are there?

Re ga le du ca tio n

(a)

100

(b)

100

100 10

100

(c)

100 0

100

1100

Match.

Re ga le du ca tio n

four thousand, thousand six hundred twenty

7,201

five thousand, sixty

8,700

seven thousand, two hundred ndred one

5,060

eight hundred ndred seventy-three seve

4,620

eight thousand, seven hundred eig

873

Write as numerals and words. Thousands

Hundreds

Tens

Ones es

Thousands

Hundreds

Tens

Ones

Thousands ds

Hundreds Hun

Tens

Ones

Re ga le du ca tio n

(a)

(b)

(c)

At Home How many lollipops are there?

Re ga le du ca tio n

(a)

1,000

100

10 0

(b)

1,000

100

Write as numerals and words. Thousands

Hundreds

Tens

Ones es

Thousands

Hundreds

Tens Te

Ones

Thousands

Hu Hundreds

Tens

Ones

Re ga le du ca tio n

(a)

(b)

(c)

Write the number in words.

Re ga le du ca tio n

(a)

(b)

(c)

(d)

(e)

Place Value

ga le du ca tio n

Let’s Learn

Find the value of each digit in the numbers shown. n. (a)

Thousands

Hundreds

Tens

One Ones

The digit in the Thousands ands place is 1.1 It represents 1,000. The digit in the Hundreds dreds ds place is 4. 4 It represents 400. The digit in the Tens place ace is 6. It represents 60. The digit in the Ones One place ace is 3. 3 It represents 3. 1,000 + 400 + 60 + 3 = 1,463 1,46

1 is the smallest digit, but it represents the greatest value.

Re ga le du ca tio n

(b)

The digit in the Thousands ands place is 8. 8 It represents 8,000. The digit in the Hundreds dreds ds place is 5. 5 It represents 500. The digit in the Tens place ace is 9. It represents 90.

8,000 + 500 + 90 0 = 8,590 8,59 8,5

How does the number change if we add another bead to the Tens place?

Let's find the value of each digit in the number. 5

Re ga le du ca tio n

(a)

9 0

0 0

0 0 0

The value of the digit 5 is 5,000. The value of the digit 6 is 600. The value of the digit 9 is 90. The value of the digit 8 is 8. 5,000 + 600 + 90 + 8 = 5,698 8

(b)

5 0

3 0 0

0 0 0

The e value alue of the digit dig 1 is 1,000. The value 3 is 300. he v alue of the digit d The value value of the digit 5 is 50. value of the The v alue lue o th digit 7 is 7. 1,000 ,000 + 300 30 + 50 + 7 = 1,357

Let’s Practice Write the numbers shown in the place value charts. ts.

Re ga le du ca tio n

(a)

(b)

(c)

(d)

Thousands

Hundreds

Tens

Ones

Thousands

Hundreds

Te Tens

Ones

Thousands

Hundreds ndreds

Tens

Ones

Thousands

Hundreds

Tens

Ones

Fill in the blanks.

Re ga le du ca tio n

(a)

There are

thousand blocks. s. They ey represent repres

There are

hundred blocks. cks. They represent repr

There are

ten blocks. ks. They hey represent repres

There are

unit blocks. locks. ocks. They represent re rep

There here are a

thousand blocks. They represent tho

There here are

hundred blocks. They represent

There are

ten blocks. They represent

There are

unit blocks. They represent

(b)

Write the value of the digit. (a)

(b)

4,076

Re ga le du ca tio n

1,234

(c)

(d) d)

7,260

(e)

945

((f)

8, 475 5

(g)

4, 431

(h)

1,067

5,032

Write the value of each digit. Then add the values.

Re ga le du ca tio n

(a)

(b)

Hands On

Re ga l

tio n

Work in pairs. Partner 1 uses base-ten blocks to make a 4-digit -digit e same sam number. Partner 2 uses place value tiles to representt the ords. s. Switch roles ro number. Write the number as numerals and in words. and repeat.

Number

Words

At Home Write the numbers shown in the place value abacus. cus.

Re ga le du ca tio n

(a)

(b)

(c)

(d (d)

(e)

(f)

T h Th

Th T h

Fill in the blanks.

du ca tio n

(a)

There are

thousand blocks. s. They ey represent repres represe

There are

hundred blocks. cks. They represent repre

There are

ten blocks. s. They hey represent repres

There are

unit blocks. ocks. They represent rep

Re ga l

(b)

There here are

thousand blocks. They represent

There are

hundred blocks. They represent

T There a are

ten blocks. They represent

There are

unit blocks. They represent

. . . . 29

Write the value of each digit. Then add the values.

Re ga le du ca tio n

(a)

(b)

Solve It!

Re ga le du ca tio n

Match the numbers in two ways.

nd, Three thousand, ninety-two

5000 0 + 900 + 4

3000 + 90 9 +2

6000 + 200 + 30 + 1

Six thousand, two hundred thirty-one

Five thousand, nine hundred four

Comparing and Ordering Numbers ers

Re ga le du ca tio n

Let’s Learn

Let's compare the numbers.

(a) Compare the numbers 6,711 and 7,611. Which ch h number is smaller? s Thousands

Hundreds

Tens

Ones

First, compare the values in the he thousands housands place. p 6 thousands is less than 7 thousands. ousands. ands. So, 6,711 is smaller than 7,611. 11.1

(b) Compare the numberss 3,166 6 and 3,661. 3,6 Which number is greater? eater? er? Thousands

Hundreds ds

Tens

Ones

The values place are the same. ues in the thousands thousan thou So, compare in the hundreds place. mpare are the values va 1 hundred ndred is smaller than th 6 hundreds. So, 3,166. o, 3,661 661 is greater than t

Re ga le du ca tio n

Hundreds

Tens

Ones

The values in the thousands place and d the he hundreds hundred place are the same. So, compare the values in n the tens place. plac 752 2 is greater than 9,742. 5 tens is greater than 4 tens. So, 9,752

Let's compare and order the numbers. mbers.

he place valu (a) Compare the numbers in the value chart. m the e greatest greate to the smallest. Order the numbers from Thousands

Hundreds

Tens

Ones

7,192

7,202

6,979

ompare pare the values value va First, compare in the thousands place. usands ds is greater great than 6 thousands. 7 thousands So, 6,979 smallest number. 79 is the smal small Compare ompare pare the values value valu in the hundreds place. hundreds is gre 2 hundreds greater than 1 hundred. So, S , 7,202 is the greatest number. So 7,202

greatest

7,192

6,979

smallest

Re ga le du ca tio n

(b) Compare the numbers in the place value chart. Order the numbers from the smallest to the greatest. st. Thousands

Hundreds

Tens

Ones

6,992 992

2,996

2,991 2 ,

ousands ds place. place First, compare the values in the thousands usands. ands. 6 thousands is greater than 2 thousands. So, 6,992 is the greatest number.r. 2,996 and 2,991 have the same e values lues in the hundreds and alues in the ones on place. o tens places. Compare the values 1 one is smaller than 6 ones. es. s. So, 2,991 is the t smallest number. 2,991

smallest

2,996 ,99

6,992

greatest

Let’s Practice Write the number represented by the blocks. Check the smaller number.

Re ga le du ca tio n

(a)

(b)

Circle the greater number. (a)

2,067

(b)

3,479

3,299

(c)

4,880

3,909

(d)

5,512

5,507

(e)

3,141

4,314

(f)

8,906

900

Re ga le du ca tio n

1,067

Arrange the numbers from the smallest to the greatest.

1,046

1,132

887 7

Re ga le du ca tio n

(a)

smallest

(b)

2, 467

greatest

3,908 8

smallest

(c)

5,905

greatest

5,899

smallestt

(d)

7,634 smallest

1,772 1,77

6,001 greatest

7,620

7, 499 greatest

Solve It!

ed uc ati on

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. Color a circle yellow to show 1,000. The first one has been done for you. (a)

3,241

(b)

one thousand, usand, seven se hundred thirty

(c)

(d)

du ca tio n

four thousand, sixty-eight

Re g

six thousand, five ivee hundred twelve.

At Home Write the number represented by each abacus. Check the greater number.

Re ga le du ca tio n

(a)

Th T h

(b)

(c)

Circle the greatest number. Underline the smallest number. (a)

3,702

1,601

(b)

3,492

3,581

5,902

(c)

789

645

1,887

(d)

7,433

7,459

7,549

(e)

10,000

9,858

9,946

(f)

8,116

7,117

7,109

Re ga le du ca tio n

2,305

Arrange the numbers from the greatest to the smallest.

4,569

10,000

9,872 872 2

Re ga le du ca tio n

(a)

greatest

(b)

3,500

smallest

3, 487 7

greatest

(c)

8,994

smallest

8,905 8,90

greatest est

(d)

7,109 greates greatest

3,399 3,3

9,058 smallest

7,106

7,107 smallest

Number Patterns

Re ga le du ca tio n

Let’s Learn

What is the next number in the pattern? (a)

The numbers increase by 10.

+ 10

1,000

1,030 + 10 = 1,040

1,010

+ 10

1,030 030

1,020

The next number in the pattern ern is 1,040.

(b)

The numbers increase by 25. + 25

3,450 ,450

3,525 3 52 + 25 = 3,550

+ 25

3,475

+ 25

3 3,500

3,525

The next number is 3,550. umber ber in the pattern patt p

(c)

The numbers decrea by 200. decrease – 200 2 20 – 200

8,200

– 200

7,600 – 200 = 7,400 – 200

8,000 7,800 7,600

The next ext number in the pattern is 7,400.

What is the missing number? The numbers decrease by 50.

Re ga le du ca tio n

(a)

– 50

2,000

1,900 – 50 = 1,850

– 50

1,950

– 50

1,900

800 1,800

The missing number in the pattern n is 1,850. ,850

(b)

The numbers decrease by 1,000.

1,000 less le than 8,709 8,70 is 7,709.

– 1,000 – 1,000 ,000 – 1,000 1,00 – 1,000 1,0

8,709 9

6,709 6 6,70

5,709

4,709

The missing number umb ber in the t pattern is 7,709.

(c)

The numbers nu increase by 200.

200 more than 7,600 is 7,800.

+ 200 + 200

7,400

7,600

+ 200 + 200

8,000

8,200

The missing number in the pattern is 7,800. miss

What are the missing numbers? The numbers increase by 5.

Re ga le du ca tio n

(a)

9,010

9,010 + 5 = 9,015 9,020 + 5 = 9,025

9,030

9,020

The missing numbers are 9,015 and 9,025.

(b)

The numbers decrease by 50.

3,400 00

3,350 – 50 = 3,300 3,300 – 50 = 3,250

3,350

3,200

The missing numbers numb mbers er are 3,300 and 3,250.

(c)

The numbers num increase by 600.

6,600 + 600 = 7,200 7,800 + 600 = 8,400

6,000 6,600

7,800

he missing miss m The numbers are 7,200 and 8,400.

Let’s Practice Fill in the missing numbers.

Re ga le du ca tio n

(a)

Thousands

Hundreds

Tens

Ones

10 less

(b)

Thousands

Hundreds

Tens T

Ones

20 less

(c)

Hundreds ndreds

Tens

Ones

50 more

Thousands

Hundreds

Tens

Ones

100 less

20 more

Thousands

50 5 0 les less

(d)

10 more

100 more

Thousands

Hundreds

Tens

Ones

Re ga le du ca tio n

(e)

200 less

(f)

200 more

Hundreds

Tens ns

Ones

10 more

Thousands

Hundreds undreds

Tens

Ones

1,000 less

(h))

Thousands

10 less

(g)

1,000 more

Thousands

Hundreds

Tens

Ones

1,000 less

1,000 more

Find the number that comes next in the pattern. (a) (b) (c) (d) (e) (f) (g) (h) (i) (j)

428

438

448

458

1,680

1,780

1,880

1,980

2,002

1,902

1,802

1,702 02

3,325

4,325

5,325

6,325

8,400

8,300

8,200

8,100 100

9,641

8,641

7,641

6,641

5,705

5,805

5,905

6,005

6,600

6,700

6,800 6,8

6,900

4,049

3,049

2,049

1,049

2,468

3,468 3,46

4,468

5,468

ga le du ca tio n

Write the rule for the number pattern.

Re ga le du ca tio n

(a)

9,311,

9,411,

9,511,

9,611

7,501,

7,511,

7,521, ,521

7,531

5,936,

5,886, ,886, 6,

5,836, 5

5,786

2,989, 9,

2,939, 2,93

2,889,

2,839

8,951,

8,451,

7,951,

7,451

(b)

(c)

(d)

(e)

At Home Fill in the missing numbers.

Re ga le du ca tio n

(a) 10 more than 510 is

(b) 100 less than 576 is

(d) 10 less than 2,405 is

(e) 100 more than 2,222 is

(f) 1,000 less than 3,400 is

(g) 100 more than 1,980 is (h) 100 less than 4,000 is

(i)

n 9,000 000 is 1,000 more than

ng numb num Find the missing numbers in the number pattern.

(a)

(b) 8,641, 41,

, 8,238, 8,228, 8,22 8 8,218, 8,208, , 8,84 8,841, 8 8,941, 9,041,

(e) (e 3,172, (f)

, 7,220,

, 1,178 1,178, 17 1,278, 1,378, ,

, 1,578

, 3,247, 3,272, 3,297

, 2,035, 3,035, 4,035, 5,035,

(g) 5,990, 990 6,490, 6,990,

, 8,490

Write the rule for the number pattern.

Re ga le du ca tio n

(a)

420,

520,

620,

7 720

1,307,

2,307,

3,307, ,307

4,307

6,600,

6,500, ,500, 0,

6 6,400,

6,300

4,460, 0,

3,460, 3,4

2,460,

1,460

5,260,

6,260,

7,260,

8,260

(b)

(c)

(d)

(e)

Odd and Even Numbers

Re ga le du ca tio n

Let’s Learn

The numbers below are even numbers.

umbers bers are shaded. sh In the hundred square, the even numbers

16 6

177

118

43 3

54 4

711

80 0

100

Even numbers end in 0, 2, 4, 6 or 8.

Re ga le du ca tio n

The numbers below are odd numbers.

In the hundred square, the odd numbers are e shaded. 1

8 28

5 45

5 55

6 65

3 73

4 94

100

Odd numbers end in 1, 3, 5, 7 or 9.

Let’s Practice Circle the odd numbers.

Re ga le du ca tio n

15 1,201

126 339

1,000

92 592

2 27

Underline the even numbers.

121

0 768 900

4,267 292 6 4,2 36

Draw an odd number off flowers. m flowe

Draw aw an even number numb of houses.

1,334

At Home

Re ga le du ca

Help Sophie cross the river by coloring the odd numbers.

122

245

128

186

319

503

774

1,202

300 30

1997

2001

1,110

669

4,264 264

9,012

222

5307 307

732

1,306

2,468

800

Rounding Numbers

Re ga le du ca tio n

Let’s Learn

Round 4,514 to the nearest ten.

When rounding, nding, ber 4 or less – remember ound down! round

4,514

4,510

4,515

4,520 20

4,514 is between 4,510 and 4,520. 4,514 is nearer to 4,510 than 4,520.

4,514 rounded off to the nearest est st ten is 4,510. 4,510 Round off 5,998 to the nearest arest ten. en.

When rounding to the nearest rest ten, we w look at the digit in the ones place. The digit in the place is 8, so we round up. e ones o

5,998

5,990 0

5,995

When rounding, remember 5 or more – round up!

6,000

5,998 rounded off to the nearest ten is 6,000.

Round 8,742 to the nearest hundred.

Re ga le du ca tio n

8,742

8,750

8,700

8,800 0

When rounding to the nearest hundred, we e look k at the digit di in the tens place. The digit in the tens place ce iss 4, so we round ro r down. 8,742 rounded off to the nearest hundred ndred d is 8,700. 8,700 8,70 Round 2,390 to the nearest thousand. sand. nd 2,390

2,000

2,500 00

3,000

When rounding to the thousand, we look at the digit he nearest nea near h in the hundreds place. ce. The digit di in the hundreds place is 3, so we round down. own. n. 2,390 rounded thousand is 2,000. ded d off to the nearest nea

Round thousand. d 5,780 80 to the nearest nea

The hundreds place is 7. So we round up. he digit in the hun 5,780 off to the nearest thousand is 6,000. 0 rounded roun

Let’s Practice Round each number to the nearest ten.

Re ga le du ca tio n

(a) 678

(b) 444

(d) 2,311

(e) 805

(f) 5,495

(g) 2,207

(h) 1,863 63

Round each number to the nearest earest st hundred. hundred

(a) 359

(b) 839 83

(d) 4,70 4,701 4,7

(e) 8,092

(f) 2 2,555

(g) 3,062

(h) (h 9,104

Round each ch number umber to the nearest thousand.

(a) 9677

(b) 1,285

(d) 3,814

(e) 9,518

(f) 7,397

(g)) 2,345

(h) 5,439

Fill in the missing numbers.

Re ga le du ca tio n

(a)

450

455

460 46

rounded off to the nearest est ten en is

(b)

1,400

1,450

1,500

rounded off to o the nearest nea hundred is

(c)

6,000 0

6,500

7,000

rounded o round off to the nearest thousand is

(d))

1,000

1,500

2,000

rounded off to the nearest thousand is

. 59

At Home Round each number to the nearest hundred.

Re ga le du ca tio n

(a) 605

(b) 1,288

(d) 56

Round each number to the nearest thousand. housand. usand. (a) 2,299

(b)) 5,502 ,502

(d)) 1,504

Fill in the missing numbers. rs.

(a)

1,700

1,750

1,800

rounded off tto the nearest hundred is

(b)

4,00 4,000

4,500

5,000

rounded off to the nearest thousand is

Solve It!

Re ga le du ca tio n

Which child is correct? Explain your answer. (a) Round 4,624 to the nearest hundred. The digit in the tens place is 2. So, the answer is 4,600.

The digit in the h pl hundreds place is 6. So, the answer is 4,700.

(b) Round 8,991 to the nearest ten. ten The digit in the tens place is 9. So, the answer is 9,000.

The digit in the ones place is 1. So, the answer is 8,990.

The digit in the hundreds place is 5. ans So, the answer is 4,00 4,000.

The digit in the hundreds place is 5. So, the answer is 3,000.

Looking Back Count on in 100s.

Re ga le du ca tio n

(a)

230,

(b)

1,850,

(c)

8,700,

Count on in 1000s. (a)

(b)

2,209,

(c)

4,500,

merals rals and words. word w Write as numerals Thousandss

Hundreds Hund

Tens

Ones

Write the number in words.

Re ga le du ca tio n

(a)

(b)

Write the value of each digit.. Then en add the t values. (a)

Re ga le du ca tio n

(b)

Fill in the missing numbers. ers.

20 iss (a) 10 more than 220

(b) 100 less than 1,057 is n 1,0

re than han 860 is (c) 1,000 more

Find the numbers he missing numb nu e in the number pattern.

(a)

(b) 650,

, 1,255 1,255, 2,255, 3,255, 4,255, , 550, 500, 450,

, 2,800,

Circle the even numbers. Underline the odd numbers.

432 644

134 592 92

29 2

Re ga le du ca tio n

Round each number to the nearest thousand. ousand. and (a) 2,309

(b) 1,488 488

(d) 9,502 02

10. Round each number to the he nearest ten. ten

11.

(a) 78

(b 27 (b) 278

(d) (d 1,164

Fill in the missing ng g numbers. numb num

460

465

rounded off to the nearest ten is rou

470 .

Addition

ga le du ca tio

Addition Without Regrouping

Anchor Task Thousands

Hundreds

Tens

Ones

Let’s Learn

Re ga le du ca tio n

A clothes factory made 1,252 children’s shirts and 2,646 46 adult’s dult’s shirts. shi How many shirts did the factory make altogether? 1,252

2,646

children’s shirts

adult’s shirtss

We need to find the sum of 1,252 and 2,646. 6.

Step 1

Step 2

Add the ones.

Add the tens.

2 5 2

+ 2 6 4 6

9 8

Step 3

Step 4

Add the hundreds. undreds.

Add the thousands.

1 2 5 2

+ 2 6 4 6

8 9 8

3 8 9 8

1,252 = 3,898 252 + 2,646 2 3,8 The factory factor made ma 3,898 shirts altogether.

Re ga le du ca tio n

On Saturday, 4,515 people visited the Singapore Zoo. On Sunday, 5,220 people visited the Singapore Zoo. How many people visited the Singapore Zoo all weekend? end? d? 4,515

5,220

visitors on Saturday

visitors on Sunday nd

We need to find d the sum of 4,515 20 and 5,220.

Step 1

Step 2

Add the ones.

Add the tens.

4 5 1 5

+ 5 2 2 0

3 5

Step 3

Step 4

Add the hundreds. ndreds.

Add the thousands.

4 5 1 5

+ 5 2 2 0

7 3 5

9 7 3 5

4,515 + 5,220 = 9,735 9,73 A total of visited the Singapore Zoo on the weekend. o 9,735 people p

Let’s Practice Find the value represented by each set. Then add.

eg al ed uc ati on

(a)

(b)

Find the value represented by each set. Then add.

Re ga le du ca tio n

(a) 100

100

(b)

1,000

100

1,000

100

1,000

1,000 000

1,000

Find the sum. (a)

(b)

Re ga le du ca tio n

6 +

(c)

(e)

(g)

(i)

(d)

(f)

(h)

(j)

Solve It!

Re ga le du ca tio

Halle spent her vacation abroad with her parents. Match the letters to the sums to find out which country she visited. R

9,971

1,682

5,685

7,598

8,846

5,474

(b) Home At Find the value represented by each set. Then add.

Re ga le du ca tio n

(a)

(b)

Find the value represented by each set. Then add.

Re ga le du ca tio n

(a) 100

100

10 0

100

100 0

10 0

100

(b)

1,000

100

10 0

1,000

100 00 0

10 10 10

100

1,000

Find the sum. Add using the column method. (b) 4,305 + 132 =

Re ga le du ca tio n

(a) 2,040 + 417 =

(d) d) 1,025 + 4,270 =

(e) 5,382 + 4,500 00 =

(f) 7,766 + 2,233 =

(h) 4,332 + 5,504 =

Re ga le du ca tio n

(g) 1,113 + 6,330 =

(i)

6,234 + 1,742 =

(j)

(k) 3,702 + 4,077 077 =

225 + 7,76 7,760 =

(l)

5,633 + 3,205 =

Addition With Regrouping

Re ga le du ca tio n

Let’s Learn

In one week, a bookstore sold 5,543 math textbooks oks and 3,722 ltogethe English textbooks. How many books were sold altogether? 5,543

3,722 722

math textbooks

English h textbooks

Step 1

Step 2

Add the ones.

Add the tens.

5 5 4 3

+ 3 7 2 2

6 5

We ca can regroup 12 hundreds into 1 thousand and 2 hundreds.

Thousands Th ands d

Hundreds Hund H

Tens

Ones

Step 3 hundr ndr 5 hundreds + 7 hundreds = 12 hundreds undreds 12 hundreds = 1 thousand + 2 hundreds

Re ga le du ca tio n

Add the hundreds. 1

5 5 4 3

+ 3 7 2 2

2 6 5

Write the 2 hundreds in the e hundreds usand in the column and the 1 thousand thousands column.

Step 4

Add the thousands. 1

5 thousands + 3 thousands housands + 1 thousand = 9 thousands

5 5 4 3

+ 3 7 2 2

9 2 6 5

5,543 + 3,722 = 9,265 In 1 week, the bookstore altogether. e sold d 9,265 books boo bo

Find the sum of 1,749 ,749 9 and 2,435. 2, 2,43 Step 1

9 ones on + 5 ones = 14 ones 14 ones = 1 ten and 4 ones

Add the ones. s. 1

7 14 9

+ 2 4 3 5

Write the 4 ones in the ones column and the 1 ten in the tens column.

Step 2 4 tens + 3 tens + 1 ten = 8 tens

Re ga le du ca tio n

Add the tens. 1

7 14 9

+ 2 4 3 5 8 4

Step 3

Add the hundreds. 1

7 hundreds + 4 hundreds ndreds = 111 hundreds 11 hundreds = 1 thousand housand + 1 hundred

7 14 9

+ 2 4 3 5 1 8 4

Step 4

Add the thousands. 1

1 thousand + 2 thousands + 1 thousand = 4 thousands thousand thousa

1 7 14 9

+ 2 4 3 5 4 1

8 4

The sum off 1,749 49 and 2,435 2,4 is i 4,184.

How can you check your answer?

Find the sum. 1

(a)

(e) +

(g)

le du ca tio n

Let’s Practice

(b)

(d)

( (f)

(h) +

Find the sum. Add using the column method. (b) 1,307 + 965 =

Re ga le du ca tio n

(a) 1,863 + 681 =

(d) 3,590 + 2,645 =

(e) 5,382 + 1,998 8=

(f) 6,364 + 2,767 =

Solve It!

(a) 200 31 166 110 87

(b) 267 150 241 124

ed uc ati on

Use all of the numbers given so that the row and column umn n each add up to the number the child is holding.

166

200

397

241

500

124

Re ga

109

(c)

234

305 30 450 50 120 0 191 19

875

120

(d) 298 297 122

298 801

381

Re ga le du ca ti

206

(e)

400 333 124

857 57

400

188

269

(f)

441

566 6 98

898

234 34 359

(b) Home At Find the sum.

Re ga le du ca tio n

(a)

(c)

(e)

(g)

(b)

(d)

( (f)

(h)

Find the sum. Add using the column method. (a) 4,486 + 486 =

(b) 1,879 + 1,879 =

Re ga le du ca tio n

(e) 2,487 + 3,444 44 =

(d) d) 5,533 + 1,076 =

(f) 5,691 + 779 =

Mental Addition Within 100

ca tio

16¢

Anchor Task

57¢

33¢

25 25¢

12¢¢

8¢

Let’s Learn

15 10

le du ca tio n

Find the sum of 46 and 15 mentally.

First, add the he tens. Then, add the ones ones.

46 + 10 = 56 56 + 5 = 61

46 + 15 = 61 The sum of 46 and 15 is 61. Find the sum of 37 and 58 37

58 50

S Separate 58 into tens and ones, then add.

37 + 50 = 87 87 + 8 = 95

37 + 58 = 95 The sum of 37 and d 58 is 95.

Re g

Find the sum m off 64 and 27 64

277

64 + 20 = 84 84 + 7 = 91

64 + 277 = 9 91 The sum of 6 64 and 27 is 91. 87

Find the sum of 48 and 24.

Re ga le du ca tio n

48 is close to 50. Let’s take 2 ones from 24 and make 50!

Make 10 1 first, th then add.

Now, we can add moree easily!

48 + 2 = 50 50 + 22 = 72

48 + 24 = 72 The sum of 48 and 24 is 72. 7 Find the sum off 53 and 29. 29 53

29 + 1 = 30 52 + 30 = 82

53 + 29 = 82 The sum um of o 53 and 29 is 82.

29 is close to 30.

Let’s Practice Add mentally. First, separate into tens and ones.

Re ga le du ca tio n

(a) 20 + 35

20 +

20 + 35 =

(b) 12 + 46

12 +

12 + 46 =

31 +

31 + 63 3=

(d)) 53 3 + 23

53 +

53 + 23 = 89

Re ga le du ca tio n

(e) 44 + 45

44 +

44 + 45 =

(f) 65 + 13

65 +

65 + 13 =

(g) 31 + 53

31 +

31 + 53 =

(h) 18 + 27

18 +

18 + 27 =

Add mentally. Make a ten first. 29 + 21

(b)

18 + 25

Re ga le du ca tio n

(a)

29 +

= 30

18 +

30 +

0+ 20

29 + 21 =

(c)

18 8 + 25 =

49 + 32

(d) d)

37 + 15

49 +

= 50

37 +

= 40

50 +

40 +

49 + 32 =

(e)

= 20

37 + 15 =

6 78 + 16

(f)

57 + 13

78 +

=8 80

57 +

= 60

80 +

60 +

78 + 16 =

57 + 13 =

Hands On

du ca tio

Your teacher will call out 2 animals. Add the numbers mentally. When you know the answer, raise your hand!

23 42

Re ga l

39 3 19

At Home

Re ga le du ca tio n

Add mentally. (a) 14 + 19 =

(b) 18 + 18 =

(d) 38 + 22 =

(e) 23 + 28 =

(f) 16 + 52 =

(g) 30 + 60 =

(h) 48 8+9=

(i)

65 + 12 =

(j)

33 + 33 =

(k) 17 + 68 =

(l)

59 + 114 =

(m) 67 + 29 =

( ) 8 + 49 = (n)

(o) 77 + 9 =

(p) (p 55 + 10 =

(q) 73 + 8 =

(r) 27 + 29 =

(s) 12 + 42 =

(t) 38 + 11 =

Word Problems

Re ga le du ca tio n

Let’s Learn

At Jackson’s Furniture Warehouse, the cost of a 3-seat -seat at sofa is $3,498. The cost of an armchair is $1,925. chair? What is the total cost of the sofa and the armchair?

$3,498

$1,925

$3,498

$1,925 1,925 25

3-seat sofa

armchair cha

3 4 9 8

9 2 5

5 4 2 3

The total cost of the e sofa sof and the th armchair is $5,423. Mr. McDonald has and as 7,008 sheep shee a 2,803 cows on n his farm. farm How many sheep ep and cows cow are a on Mr. McDonald’s altogether? nald’ss farm alt altoge 7,008 ,008

2,803

sheep

cows

7 0 0 8

+ 2 8 0 3 9 8

On Mr. McDonald’s Do farm, there are 9,811 sheep and cows altogether.

Re ga le du ca

Mr. Spokes is saving money for a family vacation. In January, he saves $1,387. In February, he savess $156 ry. more than in January. How much money did he save in total?

Step 1 Find the amount of money Mr. Spokes okess saves in February. F $15 $156

$,1387

January

February ?

1 3 8 7 1 5 6 1 5 4 3

1,387 + 156 = 1,543 Mr. Spokes savess $1,543 543 in February. Feb Fe

Step 2 Add the amounts mounts nts together togethe to find the total. $1,387

$1,543

January nuary

February

1 3 8 7 1 5 4 3 2 9 3 0

1,387 + 1,543 543 = 2,930 54 Mr. Spokes saves $2,930 in all.

Let’s Practice Dominic’s smart watch records the number of steps he takes in a day. On Saturday, he walked 3,435 steps. On Sunday, he walked 5,380 steps. How many steps did he walk in total?

Re ga le du ca tio n

Saturday

Sunday

Dominic walked

steps eps in total. tota to

mputer game. gam Riley was playing a computer ed 1,847 ,847 points. poin poi On Level 1, she scored On Level 2, she scored 1,465 sco ,465 points. po mber of o points i Find the total number she scored.

Level evel 1

Level 2

Riley a total of R iley scored s

points.

Class 3F are collecting rubbish to clean up a beach. They collect 959 plastic bottles. They collect 460 more plastic bagss than gs did bottles. How many bottles and bags they collect in total? Step 1 Find the number of plastic bags collected.

Re ga le du ca t

plastic bottles

plastic bags

plastic ast bags.

They collected

Step 2 Add the number er of plastic plas bottles and bags together.

plastic stic bottles bottle

plastic bags

A total of

plastic bottles and bags were collected. 97

A ferry and a cruise ship arrive at a dock. There are 493 ore people waiting to board the ferry. There are 957 more erry. y. How people waiting to board the cruise ship than the ferry. many people are waiting at the dock in total?

Re ga le du ca tio n

Step 1

Step 2

people are waiting at the dock in total.

On Saturday, 2,369 people went to the beach. On Sunday, 188 w many m more people went to the beach than on Saturday. How people went to the beach on the weekend?

Re ga le du ca tio n

Step 1

Step 2

people went to the beach on the weekend. pe

At Home

Mrs. Thakur bought some new equipment for her classroom. ssroom. She bought a smart board for $2,338 and tablett for $855. How much money did she spend in all?

Re ga le du

smart board ard

Mrs. T Mrs. Thakur spent $

100

in all.

tablet

On vacation, Sophie traveled by train for 258 km. n trip. p. She then took a flight 1,958 km further than the train What was the total distance that Sophie traveled??

Re ga le du ca tio n

Step 1 Find the distance of the flight.

train

flight ?

km.

The flight was

Step 2 es together. tto er er. Add the distances

train

flight

Sophie phie traveled travele a total distance of tra

km.

1 01

A builder ordered a load of bricks for a job. She ordered 1,088 red bricks. She ordered 478 more yellow bricks than n red d bricks. b How many bricks did she order in all?

Re ga le du ca tio n

Step 1

Step 2

The builder ordered he bu builde

102

bricks in all.

Looking Back Find the sum. Add using the column method.

Re ga le du ca tio n

(a) 1,307 + 412 =

(e) 5,266 66 + 2,859 =

(b) 2,452 + 1,236 236 =

(d) 3,24 3,2 3,245 + 2,178 =

(f) 4,847 + 1,985 =

1 03

Add mentally. (b) 14 + 16 =

uc ati on

(a) 12 + 18 = (c) 23 + 17 =

(d) 45 + 26 =

(f) 16 + 27 =

(e) 23 + 39 = (g) 56 + 65 = (i)

(j)

75 + 15 =

38 8 + 27 =

On holiday, Ethan took 1,309 photos. tos. His brother, brother Timmy, took 728 photos. How many photos did they ey take in all?

Re ga

(h) 62 + 19 9=

Ethan’s han’s photos

Timmy’s photos

Ethan and Timmy took n an

104

photos in all.

Mr. McIlroy is moving his business to a new office. He must pay 1 month rent and a security deposit. The rent is $2,465. The security deposit is $945 more than the rent. Find the total amount Mr. McIlroy must pay.

Re ga le du ca tio n

Step 1 Find the cost of the security deposit.

rent

security deposit ?

The security depositt is $

Step 2 nd security de Add the rentt and deposit together.

rentt

security deposit

must pay $ Mr. M Mr. McIlroy m

in total.

1 05

Subtraction

Anchor Task

106

Subtracting 10s, 100s and 1,000s

Re ga le du ca tio n

Let’s Learn

Find 1,350 – 20.

Cross ss out 2 tens and an count the remaining remainin blocks.

5 2 3

0 0 0

4 3 1

2 0 2

5 0 5

–

1,350 – 20 = 1,330 Find 2,425 – 300.

–

2,425 – 300 30 = 2,125 2

1 07

Find 5,473 – 4,000. 1,000

Re ga le du ca tio n

100

1,000

100

1,000

100

1,000

100

1,000

Cross out 4 thousands nds and count the remaining ng counters. counters

–

5 4 1

4 0 4

7 0 7

3 0 3

5,473 – 4,000 = 1,473

counti back in 100s. Find 6,950 – 500 by counting 6,950

6,850

6,750

6,650

6,550

6,450

00 = 6,450 6,950 – 500

030 0 – 6,000 by counting co c Find 8,030 back in 1,000s. 8,030

7,030 7 ,0

30 – 6,000 = 2,030 8,030

108

6,030

5,030

4,030

3,030

2,030

Let’s Practice Cross out the base-10 blocks and count the remaining ining g blocks. Fill in the blanks.

Re ga le du ca tio n

(a) Find 1,710 – 200.

–

(b) Find 2,245 – 30. 30

–

1 09

–

(d)

ed uc ati on

Re ga

– 600 =

–

110

Cross out place value disks and find the value of the remaining disks. Fill in the blanks.

Re ga le du ca tio n

(a) Find 5,680 – 500. 1,000 100

100

1,000 100

10 0

–

(b) Find 7,085 – 6,000. 0 1,000 1,000 00

1,000 0 11,000 ,00 0 0

1 10

1,000 1,00 0

11,000 ,00 000

11,000 ,000

–

111

Subtract by counting back. Fill in the blanks. – 10

– 10

Re ga le du ca tio n

(a) 6,380

–

– 100

(b)

– 100

– 100 0

– 100

– 1,000 1,00 1,0

– 1,000

2,525

–

(c)

– 1,000

– 1,000 0

7,190

–

(d)

– 1,000

1,0 – 1,000

8,007 8 ,007 ,0

–

112

Subtract using the column method. Fill in the blanks. (a) 1,280 – 50 =

(b) 2,415 – 400 =

Re ga le du ca tio n

–

(d) (d 7,797 – 20 =

–

(e) 9,500 – 6,000 000 =

(f) 8,602 – 300 =

–

1 13

Hands On Mental Subtraction Races! Stand up in pairs.

114

(b) Home At Cross out place value disks and find the value of the he remaining disks. Fill in the blanks.

Re ga le du ca tio n

(a)

– 3,000 =

1,000 100

100

1,000 100

100

1,000 100

100

1,000 100

100

–

100

(b)

– 800 =

100 1,000 11,000 ,000 100

100 0

0 ,000 1,0 1,000 100 1,000 1,000

100

1,00 000 11,000 ,000 100 1,000

100

100 1,00 0 11,000 ,0 1,000

000 1,000

100

–

1 15

– 5,000 =

Re ga le du ca tio n

(c)

1,000 100

(d)

116

1,000 100

–

– 70 =

1,000 100

100

1 10

1,000 100 0

100 00 0

110

1,000 0 100 00

1,000 1,00 0 100 0

100 100

–

Subtract by counting back. Fill in the blanks. – 10

– 10

– 10 0

Re ga le du ca tio n

(a) 1,062

–

– 100

(b)

– 100

– 1,000

3,809

–

(c)

– 1,000

– 1,000 00

8,335

–

(d)

– 1,000 00

– 1,000 1,0

9,112 9 ,112

–

1 17

Subtract using the column method. Fill in the blanks. 4,466 – 10 =

(b)

3,757 – 40 =

Re ga le du ca tio n

(a)

–

(c)

5,043 – 3,000 =

–

(d) d)

–

(e)

9,370 70 – 200 =

–

118

8,591 – 500 =

–

(f)

4,728 – 4,000 =

–

Subtraction Without Regrouping

Re ga le du ca tio n

Let’s Learn

1,395 students attend Brookwater Primary School. chool. 1,182 students attend Mountain Creek Primary School. How many more students attend Brookwater than Mountain Creek? 1,395

Brookwater Primary School

? Mountain Creek Primary School ol

1,182

Cross out counters co subtract. to subt

Thousands

Hundreds undr

Tens

Ones

Step 1

Step 2

Subtract btract the one ones.

Subtract the tens.

– 1

3 9 5 1

8 2

3 9 5

– 1

1 8 2

1 3

1 19

Step 4

Subtract the hundreds.

Subtract the thousands.

Re ga le du ca tio n

Step 3 1 3 9 5

– 1

1 8 2

1 3 9 5

– 1

2 1 3

8 2

1 3

1,395 - 1,182 = 213. 213 more students attend Brookwater than han Mountain Creek. Subtract 2,415 from 7,895. Step 1

Step 2

Subtract the ones.

Subtract the tens.

7 8 9 5

– 2 4

– 2 4 1 5

8 0

Step 3

Step 4

Subtract the hundreds hundreds.

Subtract the thousands.

7 8 9 5

– 2 4 1 5

4 8 0

7,895 5,480. ,895 – 2,415 = 5,48

120

7 8 9 5

– 2 4

1 5

5 4 8 0

Let’s Practice Find the number represented by the counters. te a Note how many have been crossed off and write subtraction sentence.

Re ga le du ca tio n

(a)

1,000

100

1,000

100

1,000

100

1,000

100

10 0

1,000

100

–

(b)

1,000 1,000 000

100 0

100 10

1,000 00 11,000 ,000

100 0

100

1,000 1,000 1,00 000 1,00 1,000

100 10

100

1,000 1,00 0 1,0 11,000 ,00 000 00

100

–

121

Subtract. (a)

(b)

Re ga le du ca tio n

1 –

(c)

–

(e)

–

(g)

–

(i)

–

122

–

(d)

–

(f)

–

(h)

–

(j)

–

(k)

(l) –

Re ga le du ca tio n

–

(m)

–

(o)

–

(q)

–

(s)

–

(n)

–

(p)

–

(r)

–

(t)

–

123

Solve It!

Re ga le du ca tio n

What is Riley’s favorite breakfast? Subtract and match the letters to the numbers below to find out. M

–

6 6

4 3

–

2,316

1 24

9 5

8,321

–

7,511

4,481

8,241

2,311

(b) Home At Find the number represented by the counters. Note te how ow many man entence. ence have been crossed off and write a subtraction sentence.

Re ga le du ca tio n

(a)

1,000 1,000

1,000

10 0

1,000 1,000

100

–

(b)

1,000 1,000 00

100 0

100

1,000 0 11,000 ,00 00 0 00

100 00 0

100 10

1,000 1,00 0

100 100

1,000 1,00 ,000

100

11,000 1,00 000

100

–

125

Subtract using the column method. (a) 3,757 – 342 =

(b) 8,496 – 155 =

–

(d) 4,36 4,368 – 1,127 =

–

(e) 5,355 355 – 1,224 =

(f) 9,889 – 7,030 =

–

Re ga le du ca tio n

1 26

(h) 1,597 – 451 =

Re ga le du ca tio n

(g) 7,889 – 3,330 =

–

(i)

4,965 – 2,634 =

–

(j)

–

(k) 7,999 – 2,356 56 =

–

9,187 9,187 – 3,014 3, 3 =

–

(l)

4,566 – 1,050 =

–

127

Subtraction With Regrouping

Re ga le du ca tio n

Let’s Learn

A watermelon has a mass of 2,254 grams. A coconut has a mass of 1,527 grams. How much heavier is the watermelon than the coconut? Let’s subtract 1,527 from 2,254 to find the difference. erence. ence.

Thousands

Hundreds

Tens

Ones nes

–

2 1

2 5

5 2

O 14

4 7 7

Subtract the ones. Regroup 1 ten into 10 ones. 14 ones – 7 ones = 7 ones.

Regroup 1 ten into 10 ones.

1 28

Now we can cross out 7 ones.

Thousands

Hundreds

Tens

Ones

2 1

2 5

T 4

5 2 2

O 14

4 7 7

Re ga le du ca tio n

–

ct the he tens. Subtract nss – 2 tens = 2 tens 4 tens Th h

Thousands

Hundreds

Tens

Ones

–

2 1

2 5 7

5 2 2

O 14

4 7 7

Subtra the hundreds. Subtract Reg Regr Regroup 1 thousand into 10 hundreds. 1 hundreds – 5 hundreds 12 = 7 hundreds

Thousands

Hundreds

Tens Ten

Ones

–

2 1

2 5 7

5 2 2

O 14

4 7 7

Subtract the thousands. 1 thousand – 1 thousand = 0 thousands

2,254 254 – 1,527 = 727 7 So, the watermelon watermelo is 727 grams heavier than the coconut. waterm

129

Find 7,304 – 3,658. Step 1 We cannot subtract 8 ones from m 4 ones. ones There are no tens to regroup. roup. Regroup 1 hundred into 9 tens ens and 10 ones.

Re ga le du ca tio n Subtract the ones.

7 2 3 9 0 144

– 3 6 5 8 6

14 ones – 8 ones = 6 ones

Step 2

Subtract the tens.

9 tens – 5 tens ns = 4 tens

7 2 3 90 144

– 3 6 5 8

4 6

Step 3

Subtract the hundreds. 6

7 123 9 0 144

– 3 6 5 8

We cann cannot subtract 6 hundreds from 2 hundre hundreds. grou 1 thousand into 10 hundreds. Regroup

hundreds – 6 hundreds = 6 hundreds 12 hun 12

6 4 6

Step 4

Subtract the e thousands thousands. 6

1 7 123 9 0 14 4

– 3 6 5 8

3 6 4 6

7,304 – 3,658 5 = 3,646 130

6 thousands – 3 thousands = 3 thousands

Let’s Practice Subtract.

Re ga le du ca tio n

(a)

–

(c)

–

(e)

–

(g)

–

(i)

–

(b)

–

(d)

–

(f)

–

(h)

–

(j)

–

1 31

Subtract using the column method. (a) 2,244 – 346 =

(b) 3,303 – 779 =

–

(d)) 4,412 4,4 – 1,731 =

–

Re ga le du ca tio n

(e) 9,870 870 – 4,146 =

–

132

(f) 8,477 – 3,887 =

–

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

(b)

– 1

– 2

– 1

– 3

–

(c)

(e)

(g) –

(d)

(f) (f)

(h)

1 33

(b) Home At

Re ga le du ca tio n

Subtract using the column method. (a) 1,540 – 322 =

–

(b) 2,276 – 635 35 =

–

(d) 5,293 5,2 – 2,433 =

–

(e) 7,538 – 1,665 65 =

(f) 8,954 – 4,335 =

–

1 34

(h) 2,061 – 1,234 =

Re ga le du ca tio n

(g) 6,510 – 1,652 =

–

(i)

6,104 – 5,305 =

–

(j (j)

–

(k) 6,221 – 4,353 53 =

–

7,131 – 4 4,433 =

–

(l)

8,804 – 5,855 =

–

1 35

Word Problems

ion

Let’s Learn

Re ga le du c

A plane was flying at a height of 2,853 m. It had to descend scend 577 m due to stormy weather. At what height is the plane ne flying now? now

2,853 m

new height

descent des

2 8 5 3

original height

–

5 7 7 2 2 7 6

577 m

2,853 – 577 = 2,276 The plane is flying att a height 2,276 m. h ht of 2,

A farmer planted d 7,428 428 apple seeds and 4,355 55 peach each seeds. seed How many more e apple seeds se were planted ed than peach seeds? se 77,428 ,42

apple seeds

peach seeds s 4,355

7 4 2 8 + 4 3 5 5 3 0 7 3

The farmerr planted 3,073 more apple seeds than peach seeds. 1 36

Re ga le du ca tio n

Mr. Robbins spent $5,625 on flights and accommodation for his w much uch family vacation. If the accommodation cost $1,850, how more did the flights cost?

Step 1 Find the cost of the flights.

accommodation

5 6 2 5

$5,625

flights hts

– 1

8 5 0

3 7 7 5

$1,850

5,625 – 1,850 = 3,775 5 The flights cost $3,775. 3,775. 5

Step 2 Subtract to find in cost. d the difference differenc differ $3,75 $3,755

fflights li

accommoda accommodation $1,850

3 7 5 5

– 1

8 5 0

9 0 5

3,755 – 1,850 1,850 8 = 1,905 The flights cost $1,905 more than the accommodation.

1 37

Let’s Practice m A truck driver has to drive 1,205 km to deliver his load. He stops for a rest 478 km from his destination. How far has he traveled?

Re ga le du ca tio

478 km

trip traveled

trip remaining

1,205 km

–

ed The truck driver has traveled

km. km

At the school athletics carnival, va the red team scored 4,675 75 points. The blue team m scored cored 3,858 points. How many ny y more points did the red ed team tea score te core than the blue team? m?

red red team

tea blue team

–

ed team scored The red

1 38

–

more points than the blue team.

A mother elephant and her baby g. have a combined mass of 4,670 kg. The baby has a mass of 482 kg. How much heavier is the mother?

Re ga le du ca tio

Step 1 Find the mass of the mother. ?

baby

mother

–

The mother has a mass ass of

kg.

Step 2 d ence in masses. Subtract to find the difference ?

baby

mother m

–

em mo th is The mother

–

kg heavier than her baby.

1 39

A factory produces 8,544 carss and motorcycles in 1 year. A total of 3,470 motorcycles were produced. How many more cars than motorcycles were produced?

Re ga le du ca tio

Step 1

Step 2

The produced e factory fa factor

140

more cars than motorcycles.

(b) Home At A television and speaker set are sold for $1,790. If the television costs $1,385. How much cheaper are the speakers than the television?

Re ga le du ca ti n

Step 1 Find the cost of the speakers.

television

speakers

–

The cost of the speakers akers rs is $

Step 2 Subtract to find in masses. nd the difference differe differ

television tele

speakers eakers

–

The speakers are $

cheaper than the television. 1 41

At a baseball game, 3,277 hot dogss and burgers are sold. 1,410 hot dogss are sold. How many more burgers than hot dogs are sold?

Re ga le du ca tio

Step 1

Step 2

m more burgers than hot dogs are sold.

142

Looking Back Subtract by counting back. Fill in the blanks.

Re ga le du ca tio n

(a)

– 10

–

– 10

–

– 10

1,776

(b)

– 10 0

4,030

(c)

– 100

0 – 100

10 – 100

– 100

– 1,000

6,428

–

(d)

– 1,000

– 1,000 11,0

– 1,000

7,666 7 ,666

–

1 43

Subtract using the column method. (a) 2,374 – 1,252 =

(b) 8,859 – 2,435 5=

–

(d) 6,575 – 5,837 =

–

Re ga le du ca tio n

(e) 8,434– – 2,527 27 =

–

1 44

(f) 6,641 – 988 =

–

ople On the weekend, a total of 5,325 people 88 visited the museum. On Saturday 2,588 ny people visited the museum. How many more people visited the museum on Sunday than on Saturday?

Re ga le du ca tio

Step 1

Step 2

more people visited the museum on Sunday than mo

Sat on Saturd Saturday.

1 45

Multiplcation

Repeated Addition Anchor Task

146

ion

Let’s Learn

Re ga l

There are 3 groups of cherries.

uc ati on

How many cherries are there in all?

There are 3 groupss of 2. 2 2+2+2=6 3x2=6 re 6 cherries in al a There are all.

There here are a 2 cherries in each group.

There are 6 cherries in all.

The symbol ‘x’ means multiply. me multiplicat multipl 3 x 2 is a multiplication equation.

1 47

Re ga le du ca tio n

How many bananas are there in all?

There are 4 groups of 4. 4 + 4 + 4 + 4 = 16 4 x 4 = 16 There are 16 bananas in all.

How many fingers are there in all? g

There are 6 groups of 3. 3 + 3 + 3 + 3 + 3 + 3 = 18 1 6 x 3 = 18 There are 18 fingers gerss in all.

How many fingers fingers gers ers are there ther the in n all?

groups of 5. There are 3 g grou 5 + 5 + 5 = 15 3 x 5 = 15 5 There are 15 fingers in all.

148

Let’s Practice Match.

Re ga le du ca tio n

2 groups of 4

2x8

6 groups of 3

3x4

8 groups of 2

6x3

5 groups of 5

4x4

2 groups of of 8

8x2

3g groups roup ups of of 4

2x4

4 groups groups of 4

5x5

1 49

Fill in the blanks. How many cubes in all?

Re ga le du ca tio n

(a)

There are +

groups of

There are

cubes in all.

There are

groups ups of

(b)

There are

cubes in all. c cu

here are There

groups of

(c)

There T are a

150

cubes in all.

Re ga le du ca tio n

(d)

There are +

groups of

There are

cubes in all.

There are re

groups of g gro

(e)

There re are

cubes in all. cu

1 51

(b) Home At Match.

Re ga le du ca tio n

152

6 twos

5x3

7 twos

3x3

5 fours

3x6

3 threes

6x2

5 threes rees

5x4

8 ffours ours

7x2

3 ssixes i

8x4

Fill in the blanks. How many objects in all?

Re ga le du ca tio n

(a)

twos = x

There are

keys in n all. all

(b)

threes three th = x

There here are

kittens in all.

153

Re ga le du ca tio

(c)

fours = x

There are

books in all..

(d)

fives = five x

There Th are a

154

ice cream scoops in all.

Fill in the blanks. How many objects in all? (a)

twos = x There are

shoes oes in n all. a

Re ga

(b)

ed uc ati on

sixes = x

There are

eggs in all.

155

Re ga le du ca tio n

c) (c)

threes = x

There are

birds in n all. a

(d)

threes three th = x

There her are

156

cherries in all.

Complete the equations.

Re ga le du ca tio n

(a)

threes = x

(b)

(c)

= 157

Re ga le du ca tio n

(d)

(e)

1 58

Solve It!

Re ga le du ca tio n

Add the numbers. Match the letterss to find Riley’s favorite soup.

159

Let’s Learn There are 5 snakes. Each snake has 3 eggs. How many eggs are there in all?

Re ga le du ca

3 + 3 + 3 + 3 + 3 = 15 5 x 3 = 15 There are 15 eggs in all.

There are 4 beetles on a branch. nch. Each beetle has 6 legs. How many legs are there in n all? 6

6 + 6 + 6 + 6 = 24 6 x 4 = 24 There ere are 24 legs in all.

160

Repeated Addition Word Problems ms

Re ga le du ca tio n

There are 4 cars. Each car has 4 wheels. How many wheels are there in all? 4

There are 4 fours. 4 x 4 = 16 There are 16 wheels in all.

There are 8 plants. Each plant has 3 flowers. How many flowers are there re in all? al 3

There are 8 threes. rees. 8 x 3 = 24 There are re 24 flowers in all. all.

Instead of drawing 8 re rectangles, we can use the dotted lines like this.

1 61

Let’s Practice There are 5 lilies in a pond. On each lily there are 3 frogs. How many frogs are in the pond in all?

Re ga le du ca ti

groups of

There are +

There are

frogs in n the e pond in all. a

akes. There are 6 birthday cakes. On each cake there candles. her are 4 can here How many candles in all? andles es are there t

There are +

There are ar

1 62

groups of

candles in all.

There are 3 fruit bowls. In each bowl there are 6 pieces of fruit. How many pieces of fruit are there in all?

Re ga le du ca tio

threes = x

There are

pieces of fruit ruit in all.

brary. 4 children visited the library. Each child borrowed 6 books. How many books did id the he children childr borrow in all?

sixes = x

The children children borrowed

books in all.

1 63

(b) Home At There are 3 spiders. Each spider has 8 legs. How many legs are there in all?

Re ga le du ca t

There are +

groups of

There are

legs in all.

n boxes of o 6 donuts. s. A bakery sells donutss in How many donuts are in 4 such uts a suc boxes?

There are +

There ere are ere

1 64

groups of

donuts in 4 boxes.

There are 5 shirts. Each shirt has 7 buttons. How many buttons are there in all?

Re ga le du ca tio

sevens = x

There are

buttons in all.

There are 10 bicycles att a rack. ac Each bicycle has 2 wheels. heels. els. How many wheels are there in total? to

twos = x

There are

wheels in total.

1 65

Mr. Hopkins bakes a tray of 8 cookies. Each cookie has 6 chocolate chips. How many chocolate chips did he use in baking the cookies?

Re ga le du ca ti

sixes = x

He used

chocolate chips. ps.

d to take ake 3 mini buses are used students to a sports carnival. rnival. s Each bus has 10 seats. a there re in total? t How many seatss are

tens ens = x

There re are re

1 66

seats in total.

Solve It!

Re ga le du ca tio n

An automotive company makes motorcycles and cars. rs. In 1 day, they produce 12 cars and 8 motorcycles. How many wheels will they need in total? Use the space below to find the answer.

The automotive company will need mo

wheels in total.

1 67

Multiplying by 2

Re ga le du ca tio n

Let’s Learn

There are 8 pairs of socks. How many socks are there in all?

There are 8 groups of 2.

I need to find 8 x 2.

Skip count Sk nt 2 in 2s.

Multiply using dot paper.

5 6 7

168

8 x 2 = 16 There are 16 socks in all.

There are 10 plates. There are 2 apples on each plate.

Re ga le du ca tio n

2 3 4

5 6 7

10 10

10 groups of 2. 10 x 2 = 20

Let’s learn the 2 times table.

1x2=2

2x2=4

3x2=6 4x2=8

5 x 2 = 10 6 x 2 = 12 7 x 2 = 14

8 x 2 = 16 9 x 2 = 18

10 x 2 = 20

1 69

Let’s Practice Fill in the blanks.

Re ga le du ca tio n

(a)

There are

chillies in all.

(b)

There are re

almonds in all. almo almond

(c)

There Th are

170

cubes in all.

Fill in the blanks.

Re ga le du ca tio n

(a) 4

16 16

(b)

(c)

Color the 2 times table. 1

15 5

16 1

43 4

53 5

99 100

1 71

(b) Home At Color the balloons that give the same number. Use a different color for each pair of balloons.

Re ga le du ca tio n

2 twos

2x2

6x2

9 twos

10 twos

4 twos

10 x 2

9x2

172

6 twos

4x2

Fill in the blanks.

Re ga le du ca tio n

(a))

twos =

(b)

(c))

1 73

Draw groups of dots to show the multiplication sentence. Complete the equation.

Re ga le du ca tio n

(a) 6 x 2

6x2=

(b) 5 x 2

5x2=

7x2=

(d) 10 x 2

10 0x2=

174

Use the dot paper to make a multiplication equation. (a)

(b)

1 1

Re ga le du ca tio n

(c)

(d)

Complete the equations. equation quatio (a) 2 x 5 =

(b) 7 x 2 =

(d) 3 x 2 =

(e) 6 x 2 =

(f) 2 x 8 =

(g) g)

(h)

x 2 = 20

= 118

(j)

x 7 = 14

x 2 = 16

(l)

x 2 = 12

(i(i)

(k)

x2=2

1 75

Hands On

Re ga le du ca tio n

Play Multi-Bingo! in pairs. s. Fill each board with the numbers shown on the balls. Roll a 10-sided dice and multiply the number by 2. Cross out the matching number in Board 1. Switch roles with your partner. er. The first person to get 3 in a row is the winner. Play the game again using Board 2.

20 2 0

12 12

/WNVK $KPIQ /WNVK /WNVK

Board 1

176

Board 2

Multiplying by 3

Re ga le du ca tio n

Let’s Learn

There are 9 bunches of cherries. There are 3 cherries in each bunch. How many cherries are there in all?

There are 9 groups of 3.

In need to find 9 x 3.

Skip count in 3s.

Multiply using dot paper.

5 6 7

9 x 3 = 27 There are 27 cherries in all.

1 77

Re ga le du ca tio n

There are 7 tubes of tennis balls. There are 3 tennis balls in each tube. How many tennis balls are there in all?

3 4

5 6 7

7 groups of 3. 7 x 3 = 21

Let’s learn the 3 times table.

1x3=3

2x3=6

3x3=9

4 x 3 = 12 5 x 3 = 15

6 x 3 = 18 7 x 3 = 21

8 x 3 = 24 9 x 3 = 27

10 x 3 = 30

178

Let’s Practice Fill in the blanks.

Re ga le du ca tio n

(a)

There are

balloons in n all.

(b)

There are

pebbles in all. peb pebble

(c)

There er are

cubes in all.

1 79

Fill in the blanks.

Re ga le du ca tio n

(a) 3

21 21

(b)

(c)

180

Color the 3 times table. 1

16 6

43 4

73 7

99 100

Hands On

18 18

Re ga le du ca tio n

Play Multi-Bingo! in pairs. s. Fill each board with the numbers shown on the balls. Roll a 10-sided dice and multiply the number by 3. Cross out the matching number in Board 1. Switch roles with your partner. er. The first person to get 3 in a row is the winner. Play the game again using Board 2.

24 2 4

/WNVK $KPIQ /WNVK /WNVK

Board 1

Board 2

1 81

(b) Home At Color the balloons that give the same number. Use a different color for each pair of balloons.

Re ga le du ca tio n

5 threes

7x3

9 threes

3 threes

10 threes

10 x 3

9x3

7 threes

3x3

182

5x3

Fill in the blanks.

threes =

Re g

ed uc ati on

(a)

(b)

(c)

threes =

1 83

Draw groups of dots to show the multiplication sentence. Complete the equation.

Re ga le du ca tio n

(a) 5 x 3

5x3=

(b) 9 x 3

9x3=

7x3=

(d) 6 x 3

6x3=

184

Use the dot paper to make a multiplication equation. (a)

(b)

1 2 3

Re ga le du ca tio n

1 2 3 1 2 3

1 2 3 4

(c)

(d)

1 2 3

1 2 3 4 5 6 7 8 9

1 2 3 4 5 6 7 8

Complete the he equations. (a) 3 x 5 =

(b) 7 x 3 =

(d) 3 x 8 =

(e)) 10 x 3 =

(f) 3 x 2 =

(g)

(h)

x3=3

= 12

(j)

x 7 = 21

x 3 = 27

(l)

x3=9

(i)

(k)

x 3 = 12

1 85

Multiplying by 4

Re ga le du ca tio n

Let’s Learn

There are 7 stacks of books. There are 4 books in each stack. How many books are there in all?

There are 7 groups of 4.

I need to find 7 x 4.

Skip count in 4s 4s.

12 2

16 6

Multiply using dot paper.

5 6 7

186

7 x 4 = 28 There are 28 books in all.

There are 8 bunches of bananas. There are 4 bananas in each bunch. How many bananas are there in all?

Re ga le du ca tio n

3 4

5 6 7

8 groups of 4. 8 x 4 = 32

Let’s learn the 4 times table.

1x4=4

2x4=8

3 x 4 = 12

4 x 4 = 16

5 x 4 = 20 6 x 4 = 24 7 x 4 = 28

8 x 4 = 32 9 x 4 = 36

10 x 4 = 40 1 87

Let’s Practice Fill in the blanks.

Re ga le du ca tio n

(a)

There are

pieces of chocolate late in al a all.

(b)

There are re

balloons in all. ballo balloon

(c)

There here are

188

cubes in all.

Fill in the blanks.

Re ga le du ca tio n

(a) 4

(b)

(c)

Color the 4 times table. 1

15 5

16 6

43 4

99 100

1 89

Hands On

32 32

Re ga le du ca tio n

Play Multi-Bingo! in pairs. s. Fill each board with the numbers shown on the balls. Roll a 10-sided dice and multiply the number by 4. Cross out the matching number in Board 1. Switch roles with your partner. er. The first person to get 3 in a row is the winner. Play the game again using Board 2.

116 6

40 40

/WNVK $KPIQ /WNVK /WNVK

Board 1

190

Board 2

(b) Home At Color the balloons that give the same number. Use a different color for each pair of balloons.

Re ga le du ca tio n

8 fours

8x4

3x4

9 fours

7 fours

9x4

10 fo fours fou

3 fours

7x4

10 x 4

1 91

Fill in the blanks.

Re ga le du ca tio n

(a)

fours =

(b)

(c)

192

Draw groups of dots to show the multiplication sentence. Complete the equation.

Re ga le du ca tio n

(a) 6 x 4

6x4=

(b) 2 x 4

2x4=

7x4=

(d) 9 x 4

9x4=

1 93

Use the dot paper to make a multiplication equation. (a)

(b)

Re ga le du ca tio n

1 1

3 4

(c)

(d)

Complete the equations. equations quatio (a) 3 x 4 =

(b) 5 x 4 =

(d) 9 x 4 =

(e) 10 0x4=

(f) 7 x 4 =

(g) g)

(h)

x 4 = 24

=3 32

(j)

x4=0

x 4 = 28

(l)

x4=8

(i)

(k)

1 94

x 4 = 16

Solve It! There are 10 children at East Coast Park. Some children ldren en are s. riding bicycles. Some children are riding tricycles.

tio n

This tricycle icycle has 3 wheels.

Re ga le du c

My bicycle has 2 wheels.

There are 24 wheels in all. ding ng bicycles? How many children are riding e riding ng tricycle tricycl How many children are tricycles? Complete the table below elow w to help you yo y find the answers. Number of bicycles

Number of wheels

Number Numbe of tricyc tricycles

Number of wheels

Total number of wheels

3x2=6

7 x 3 = 21

4x2=8

6 x 3 = 18

7 x 2 = 14

3x3=9

5 6 7

childre children are riding bicycles.

c children h are riding tricycles.

1 95

Mr. McDonald has chickens and sheep on his farm.

Re ga le du c

He counts his animals. 2 legs. There are 14 animals and 42 es Mr. McDonald McDona have? How many chickens does ha How many sheep doess he have? ow to help y Complete the table below you find the answers. Number of Number of chickens chicken cken legs

Number of sheep legs

Total number of legs

9 x 4 = 36

5 x 4 = 20

5 x 2 = 10

6 x 2 = 12

9 x 2 = 18

Mr. McDonald McDo has

196

Number Num off sheep

chickens and

sheep.

Multiplying by 5

Re ga le du ca tio n

Let’s Learn

There are 4 stacks of pizza boxes. There are 5 pizza boxes in each stack. How many pizza boxes are there in all?

There are 4 groups of 5.

I need to find 4 x 5.

Skip count 5s. in 5s

Multiply using dot paper.

3 4

4 x 5 = 20 There are 20 boxes in all.

1 97

Re ga le du ca tio n

There are 8 stacks of donuts. There are 5 donuts in each stack. 1

3 4

5 6 7

8 groups of 5. 8 x 5 = 40

Let’s learn the 5 times table.

1x5=5

2 x 5 = 10 3 x 5 = 15

4 x 5 = 20 5 x 5 = 25

6 x 5 = 30 7 x 5 = 35

8 x 5 = 40 9 x 5 = 45

10 x 5 = 50

1 98

Let’s Practice Fill in the blanks.

Re ga le du ca tio n

(a)

There are

tomatoes in all.

(b)

There are

flowe in all. flowers

(c)

There Th are a

cubes in all.

1 99

Fill in the blanks.

Re ga le du ca tio n

(a) 5

(b)

(c)

20 0

Color the 5 times table. 1

15 5

16 6

43 4

99 100

Hands On

50 50

Re ga le du ca tio n

Play Multi-Bingo! in pairs. s. Fill each board with the numbers shown on the balls. Roll a 10-sided dice and multiply the number by 5. Cross out the matching number in Board 1. Switch roles with your partner. er. The first person to get 3 in a row is the winner. Play the game again using Board 2.

115 5

30 30

/WNVK $KPIQ /WNVK /WNVK

Board 1

Board 2

2 01

(b) Home At Color the balloons that give the same number. Use a different color for each pair of balloons.

Re ga le du ca tio n

9x5

5 fives

10 x 5

7 fives

5x5

1x5

1 fives 10

7x5

20 2

9 fives

1 five

Fill in the blanks.

Re ga le du ca tio n

(a)

fives =

(b)

2 03

Draw groups of dots to show the multiplication sentence. Complete the equation.

Re ga le du ca tio n

(a) 7 x 5

7x5=

(b) 6 x 5

6x5=

4x5=

(d) 9 x 5

9x5=

20 4

Use the dot paper to make a multiplication equation. (a)

(b)

Re ga le du ca tio n

1 1

3 4

(c)

(d)

Complete the equations. uation

(a) 5 x 5 =

(b) 5 x 8 =

(d) 9 x 5 =

(e) 10 0x5=

(f) 5 x 6 =

(g) g)

(h)

x 5 = 35

(j)

x 5 = 40

x 5 = 15

(l)

x 5 = 50

(i(i)

(k)

x 5 = 10

2 05

Let’s Learn

ed uc ati on

Multiplying by 10 There are 8 egg cartons. There are 10 eggs in each carton. How many y eggs gg g are there in all?

There are 8 groups of 10.

I need to find 8 x 10.

Re ga

Skip count in 10s.

40 4

9 10 1

3 4

Multiply using dot paper.

5 6 7

206

8 x 10 = 80 There are 80 eggs in all. Th

There are 7 bundless of sticks. There here are 10 sticks in each bundle. bun 2

Re ga le du ca tio n

3 4

5 6 7

7 groups of 10. 7 x 10 = 70

Let’s learn the 10 times table.

1 x 10 = 10

2 x 10 = 20 3 x 10 = 30 4 x 10 = 40 5 x 10 = 50 6 x 10 = 60 7 x 10 = 70 8 x 10 = 80 9 x 10 = 90 10 x 10 = 100 2 07

Let’s Practice Fill in the blanks.

Re ga le du ca tio n

(a)

There are

candles in all.

(b)

There are e

grap in all. grapes

(c)

There are 208

boxes in all.

Fill in the blanks.

Re ga le du ca tio n

(a) 10

(b)

(c)

Color the 10 times table. 1

5 15

63 6

73 7

99 100

2 09

Hands On

10 10

Re ga le du ca tio n

Play Multi-Bingo! in pairs. s. Fill each board with the numbers shown on the balls. 0. Roll a 10-sided dice and multiply the number by 10. Cross out the matching number in Board 1. Switch roles with your partner. er. The first person to get 3 in a row is the winner. Play the game again using Board 2.

20 2 0

100

40 40

/WNVK $KPIQ /WNVK /WNVK

Board 1

210

Board 2

(b) Home At Color the balloons that give the same number. Use a different color for each pair of balloons.

Re ga le du ca tio n

7 tens

10 tens

5 x 10

2 tens

9 x 10

2 x 10

5 tens

7 x 10

9 tens

10 x 10

211

Fill in the blanks.

Re ga le du ca tio n

(a)

tens =

tens = te

(b)

212

Draw groups of dots to show the multiplication sentence. Complete the equation.

Re ga le du ca tio n

(a) 7 x 10

7 x 10 =

(b) 3 x 10

3 x 10 =

0= 8 x 10

(d) 4 x 10

4 x 10 =

213

Use the dot paper to make a multiplication equation. (a)

9 10

(b)

9 10

Re ga le du ca tio n

1 1

3 4

5 6

(c)

9 10

(d) d)

Complete the equations. equations (a) 10 x 1 =

(b) 5 x 10 =

(d) 9 x 10 =

(e) e) 10 x 4 =

(f) 10 x 8 =

(g) (g

(h)

x 10 = 70

(j)

x 3 = 30

(l)

x 10 = 0

(i)

(k)

21 4

x 5 = 50

= 60

x 10 = 100

9 10

Hands On

Re g

tio n

Work in pairs. Think of a multiplication equation. Use blocks to model the equation. he space below. below bel Your partner says the equation and writes it in the Switch roles and repeat 4 times.

(a)

(b)

c) (c)

(d)

215

Solve It!

ed uc ati on

Fill in the missing numbers.

(b)

(a)

(c)

3 4

(e)

112 2

21 6

(d)

10 10

15 15

0 20

5 2

Re ga

(f)

100

114

Hands On

Re ga le du ca tio n

Work with your partner to color the 2, 3, 4, 5 and 10 times mes tables. Use a different color for each times table. Do you notice any patterns? Are any numbers colored more than once? Why? hy? 1

10 1

28 8

35 5

37 7

45 5

63 3

73 3

99 100

We have learned the 4 times table to 40. Can you continue the pattern to 100?

217

Let’s Learn

ed uc ati on

Multiplying by 6 How many cubes are there altogether? Count in sixes.

There are 10 groups of 6. 10 x 6 = 60 There are 60 cubes altogether.

10 x 6 is the sam as 6 x 10. same

Re g

There are 7 bunches of bananas. nas. as. There are 6 bananas in each h bunch. bunc unc ch ch. How many bananas are there here altogether? altogethe

There re e are 7 groups group of 6. 7 x 6 = 42 There altogether. here are 42 bananas bana b

6, 12, 18, ...

1 1 2 3 4 5 6 7

21 8

There are 5 beetles. Each beetle has 6 legs. How many legs are there altogether?

Re ga le du ca tio n

3 4

6 x 5 = 30 There are 30 legs altogether. Let’s learn the 6 times table.

1x6=6

2 x 6 = 12

3 x 6 = 18

4 x 6 = 24

5 x 6 = 30 6 x 6 = 36 7 x 6 = 42

8 x 6 = 48 9 x 6 = 54

10 x 6 = 60

219

Let’s Practice Fill in the blanks.

Re ga le du ca tio n

(a)

There are

eggs altogether. ther..

(b)

There are

donuts altogether. don donu

(c)

There T are a

22 0

crayons altogether.

Fill in the blanks.

Re ga le du ca tio n

(a))

sixes =

(b)

(c)

(d)

221

Fill in the blanks.

Re ga le du ca tio n

(a) 6

(b)

8 48

(c)

22 2

Color the 6 times table. 1

5 15

63 6

73 7

99 100

(b) Home At Fill in the blanks.

Re ga le du ca tio n

(a)

sixes =

sixes = six

(b)

(c)

223

Use the dot paper to make a multiplication equation. (a)

(b)

Re ga le du ca tio n

1 1

3 4

(c)

(d))

5 6

(e)

(f)

5 6 7

224

Write two multiplication equations to show the number of squares in each grid.

Re ga le du ca tio n

(a)

(b)

Complete the equations. equatio quat

(a) 10 x 6 =

(b) 5 x 6 =

(d) 9 x 6 =

(e) 6 x 4 =

(f) 6 x 8 =

(g)

(h)

x6=0

= 54

(j)

x6=6

x 2 = 12

(l)

x 7 = 42

(i)

((k))

x 6 = 18

225

Multiplying by 7

Re ga le du ca tio n

Let’s Learn

How many cubes are there altogether? Count in sevens.

There are 10 groups of 7. 10 x 7 = 70 There are 70 cubes altogether.

49 9

10 x 7 is th the samee as 7 x 10 10.

There are 5 stacks of boxes. There are 7 boxes in each stack. k. How many boxes are there ere altogether? altogether

7, 14, 21, ...

There ere are 5 groups grou of 7. 5 x 7 = 35 There altogether. ere are a 35 boxes bo

3 4

22 6

1 2

Re ga le du ca tio n

There are 7 branches. There are 7 leaves on each branch. How many leaves are there altogether?

3 4

5 6 7

7 x 7 = 49 There are 49 leaves altogether. Let’s learn the 7 times table.

1x7=7

2 x 7 = 14

3 x 7 = 21

4 x 7 = 28

5 x 7 = 35 6 x 7 = 42 7 x 7 = 49

8 x 7 = 56

9 x 7 = 63

10 x 7 = 70 227

Fill in the blanks. (a)

There are

balloons oons ns altogeth altogether. altogethe

Re g

(b) b)

There Th are

22 8

du ca tio n

Let’s Practice

= pancakes altogether.

Fill in the blanks.

Re ga le du ca tio n

(a))

sevens =

sevens s =

(b)

(c)

229

Fill in the blanks.

Re ga le du ca tio n

(a) 7

(b)

6 56

(c)

23 0

Color the 7 times table. 1

5 15

63 6

73 7

99 100

Fill in the blanks. (a) a)

sevens =

ca tio n

(b) Home At

sevenss =

sevens =

Re ga le

(b))

(c)

2 31

Use the dot paper to make a multiplication equation. (a)

(b)

Re ga le du ca tio n

1 1

5 6

(c)

(d)

(e)

(f)

23 2

Write two multiplication equations to show the number of squares in each grid.

Re ga le du ca tio n

(a)

(b)

Complete the equations. qu qua (a) 7 x 6 =

(b) 5 x 7 =

(d) 7 x 7 =

(e) 4 x 7 =

(f) 9 x 7 =

(g)

(i)

(k)

x 7 = 21

(h)

x7=7

= 42

(j)

x 7 = 28

x 7 = 14

(l)

x 7 = 56

2 33

Let’s Learn

ed uc ati on

Multiplying by 8 How many cubes are there altogether? Count in eights.

56 6

There are 10 groups of 8. 10 x 8 = 80 There are 80 cubes altogether.

10 x 8 is the same as 8 x 10.

There are 7 stacks of cookies. s. There are 8 cookies in each h stack. ck k How many cookies are there here e altogether? altogethe

Re ga

8, 16, 24, ...

groups of 8. There are 7 gr group 7 x 8 = 56 5 There are 56 cookies altogether. c

2 34

1 1 2 3 4 5 6 7

Re ga le du ca tio n

There are 3 stacks of books. There are 8 books in each stack. How many books are there altogether?

3 x 8 = 24 There are 24 books altogether. Let’s learn the 8 times table.

1x8=8

2 x 8 = 16

3 x 8 = 24 4 x 8 = 32

5 x 8 = 40 6 x 8 = 48 7 x 8 = 56

8 x 8 = 64 9 x 8 = 72

10 x 8 = 80 2 35

Fill in the blanks. (a)

There are

du ca tio n

Let’s Practice

balloons oonss altogether. altogethe

Re ga l

(b)

There T are a

23 6

legs altogether.

Fill in the blanks.

Re ga le du ca tio n

(a)

eights =

(b)

(c)

2 37

Fill in the blanks.

Re ga le du ca tio n

(a) 8

(b)

6 56

(c)

238

Color the 8 times table. 1

5 15

63 6

73 7

99 100

(b) Home At Fill in the blanks.

Re ga le du ca tio n

(a)

eights =

(b)

(c)

2 39

Use the dot paper to make a multiplication equation. (a)

(b)

Re ga le du ca tio n

1 1

(c)

(d) (

(e)

(f)

24 0

Write two multiplication equations to show the number of squares in each grid.

Re ga le du ca tio n

(a)

(b)

Complete the equations. equations (a) 8 x 8 =

(b) 1 x 8 =

(d) 3 x 8 =

(e) e) 4 x 8 =

(f) 9 x 8 =

(g)

(h)

x 8 = 64

(j)

x 8 = 80

(l)

x1=8

(i)i)

(k)

x 8 = 40

= 48

x8=0

2 41

Let’s Learn

ed uc ati on

Multiplying by 9 How many cubes are there altogether? Count in nines.

63 3

There are 10 groups of 9. 10 x 9 = 90 There are 90 cubes altogether.

1 x 9 is the 10 same as 9 x 10.

There are 4 cakes. There are 9 candles on each ach cake. cake e. How many candles are there re altogether? altogeth altog

Re ga

9, 18, 27, ...

There ere are a 4 groups grou of 9. 4 x 9 = 36 There are 36 candles altogether.

24 2

1 1 2 3 4

Re ga le du ca tio n

There are 9 loaves of bread. There are 9 slices of bread in each loaf. How many slices of bread are there altogether? 1

3 4

5 6 7

9 x 9 = 81 her. There are 81 slices of bread altogether.

Let’s learn the 9 times table.

1x9=9

2 x 9 = 18

3 x 9 = 27

4 x 9 = 36 5 x 9 = 45 6 x 9 = 54 7 x 9 = 63 8 x 9 = 72 9 x 9 = 81

10 x 9 = 90 2 43

Let’s Practice Fill in the blanks.

Re ga le du ca tio n

(a)

There are

balloons oonss altogether. altogethe

(b)

There Th are a

244

logs altogether.

Fill in the blanks.

Re ga le du ca tio n

(a)

nines =

nines nes =

nines =

(b)

(c)

2 45

Fill in the blanks.

Re ga le du ca tio n

(a) 9

4 54

(b)

(c)

246

Color the 9 times table. 1

5 15

63 6

73 7

99 100

(b) Home At Fill in the blanks.

Re ga le du ca tio n

(a)

nines =

niness =

nines =

(b)

(c)

2 47

Use the dot paper to make a multiplication equation. (a)

(b)

Re ga le du ca tio n

1 1

(c)

(d (d)

3 4

(e)

(f)

248

Write two multiplication equations to show the number of squares in each grid.

ed uc ati on

(a)

Re ga l

(b)

Complete the he equations. (a) 2 x 9 =

(b) 4 x 9 =

(d) 3 x 9 =

(e) e) 9 x 8 =

(f) 9 x 7 =

(g) (g

(h)

(i)

(k)

x9=4 45

= 54

(j)

x 9 = 18

(l)

x 9 = 81 9x

= 27 x1=9 2 49

Solve It!

(a)

ed uc ati on

Complete the multiplication grids. What number does each shape represent?

8 =

(b)

Re g

50 25 =

2 50

60 =

uc ati o

(c)

(d)

36 21

Re ga l

27 =

2 51

Hands On

Re ga le du ca tio n

Work with your partner to color the 6, 7, 8, and 9 timess tables. bles. Use a different color for each times table. Do you notice any patterns? Are any numbers colored more than once? Why? hy? 1

17 7

18 8

19 1

35 5

45 5

47 4

56 5

82 2

83 3

99 100

We ha have learned the 6 times table to 60. Can you continue the pattern to 100?

25 2

Multiplying by 6, 7, 8 and 9

Re ga le du ca tio n

Let’s Learn

Multiply.

4 x 6 = 24 6 x 4 = 24

4 groups of 6

6 groups of 4

6x4

4x6

So, 4 x 6 = 6 x 4. S

253

Multiply.

(a)

le du ca tio n

Let’s Practice

(b)

(c)

254

(e)

Re ga l

(f)

du ca tio n

(d)

(g)

255

(b) Home At Multiply.

Re ga le du ca tio n

(a)

(b)

3 4

5 6 7

(c)

25 6

Re ga le

(e)

ca t

(d)

Complete the equations. (a) 7 x 3 =

(b) 9 x 5 =

(d) 3 x 8 =

(e) e) 4 x 7 =

(f) 9 x 4 =

(g) (g

(i)

(k)

x 9 = 54

(h)

= 42

(j)

x 7 = 49

(l)

x 8 = 72 9x

= 36 x 7 = 63 257

Solve It!

Re ga le du ca tio n

Fill in the blanks. What is the rule? The first one has been done for you.

(a)

12 2

The rule is x 2 .

(b)

The e rule ru is

2 58

15 The rule is

16 6

The he rule ule is

30 3 0

(d)

ed uc ati on

(c)

28 2

259

Multiplication Word Problems

Re ga le du ca tio n

Let’s Learn

Riley baked 8 muffins. Chelsea baked 4 times as many muffins as Riley. Ril How many muffins did Chelsea bake? 8

8 x 4 = 32 Chelsea baked 32 muffins.

Halle saves $6 every week. k. How much money doess Halle s? lle save in 7 weeks? $6

6 x 7 = 42 Halle savess $42 2 in 7 weeks. wee

Mrs. Brown of eggs. own n bought 9 cartons car Each carton on contained contain 10 eggs. How w many eggs did Mrs. Brown buy in all?? 10

10 x 9 = 90 Mrs. Brown bought 90 eggs in all.

260

Let’s Practice Blake has 8 boxes. He packs 8 donuts into each box. How many donuts does Blake pack altogether? her? r?

Re ga le du ca ti

Blake packs

donuts altogether.

Mrs. Thakur buys 7 packets pasta. kets of past ostss $9. A packet of pasta costs M Thakur hakur spend ssp ll? How much does Mrs. in all? $

Mrs. Mrs. Thakur Thak spent s $

in all.

2 61

Wyatt and his brother sold 5 cups of lemonade on Saturday. They sold 5 times as many cups of lemonade on Sunday. unday. ay. How many cups of lemonade did they sell on Sunday? nday? y?

Re ga le du ca tio n

Wyatt and his brotherr sold

Jordan has 6 marbles. rbles. Ethan has 8 time times mess as ma many marbles as Jordan. How many Ethan have? y marbles arbles does doe E

Ethan has h 2 62

cups of lemonade on Sunday.

marbles.

(b) Home At Wyatt buys 4 chocolate bars. Each chocolate bar costs $2. How much did Wyatt spend in all?

Re ga le du ca tio n

Wyatt spent $

in all..

A carton of milk has a mass of 2 kg. k ons hold 8 such su s A crate of milk cartons cartons. Find the total mass of milk t cartons in a crate. ate. te. kg

8 cartons ca of milk has a mass of

kg.

2 63

Color pencils come in a pack of 10. Mrs. Choi buys 10 such packs for her class. How many color pencils did she buy in total?

Re ga le du ca tio n

Mrs. Choi bought

There are 9 strawberries on a chocolate cake. awber wb ake. How many strawberries rawberries erries are a there on 9 identical cakes? kes??

There are ar

264

color pencils pen pe in total.

strawberries on 9 cakes.

Each shape represents a number. Fill in the blanks. (a)

=4 =9

Re ga le du ca

Solve It!

(b)

x2= +

has a value of

(c)

= 15

has a value o of

2 65

= 27

(d)

x7= .

Re ga le du ca t

has a value of

(e)

x4= x

has a value of

(f) 3 x

= 15

has a val value of

266

Looking Back Complete the following.

Re ga le du ca tio n

(a)

sixes = x

There are

cubess in n all.

(b)

nines es = x

There ere are ar

dots in all. dot

(c)

ssevens = seve x

There are

dots in all. 2 67

Fill in the blanks.

Re ga le du ca tio n

(a) 3

21 21

0 30

(b)

35 35

(c)

(d)

(e)

(f)

(g)

268

100

Write two multiplication equations to show the number of dots. (a)

Re ga le du ca tio n

3 4

5 6

(b)

3 4

5 6 7

(c)

3 4

5 6 7

(d)

9 10

3 4

5 6 7

2 69

Color the 4 times table blue and the 9 times table red. 1

29 9

30 0

60 6

68 6

69 6

77 7

99 100

Re ga le du ca tio n

Complete the equations. tions. s. (a) 7 x 3 =

(b) 9 x 5 =

(d) 3 x 8 =

(e)

(f)

x 9 = 54

(g) 6 x (i)

270

= 42

x 7 = 49

x 8 = 72

(h) 9 x (j)

= 36

x 7 = 63

(k) 7 x 3 =

(l)

(m) 8 x 8 =

(n) 10 x 8 =

(o)

(p)

x 9 = 90

9x5=

x 10 = 100

A train carriage has 10 seats. How many seats are there in 4 such carriages?

Re ga le du ca tio n

There are

seats in 4 train ain carriag carriages.

A block of chocolate is divided into 9 pieces. How many pieces are there in 8 ssuch blocks?

There are

pieces p of chocolate in 8 blocks.

2 71

Division (1)

Sharing Equally Anchor Task

27 2

ion

Let’s Learn

Re ga le du ca tio n

There are 6 cookies. There are 2 children. me Share the cookies so that each child gets the same number of cookies.

The 6 cookies kies are divided divide into in 2 equal groups. There are group. re 3 cookies in each ea e Each child d gets 3 cookies. cookie We e write: write We say:

6÷2=3 divide two is three. Six d S

The symbol mbol ‘÷’ means divide. mb 6 ÷ 2 = 3 is a division equation.

2 73

Re ga l

du ca tio n

There are 9 carrots. There are 3 rabbits. Share the carrots equally among the rabbits. How many carrots will each rabbit get?

The carrotss have ave been shared shar s equally. Each rabbit bbit gets ets 3 carrots. carrots carro an write this as: 9 ÷ 3 = 3 We can

2 74

Re ga le du ca tio n

There are 24 cubes.

Let’s share the cubes equally in different ways. s. (a) There are 3 groups. There are 8 cubes in each group. p.

24 divide 3 is 8. 24 ÷ 3 = 8

(b) There are 4 groups. ups. There are 6 cubes bes in each ea group. g

24 divide divide 4 is 6. d 24 4÷4=6

2 75

Re ga le du ca tio n

24 divide 2 is 12. 24 ÷ 2 = 12

(d) There are 12 groups. There are 2 cubes in each group.

24 divide 12 is 2. div 24 ÷ 12 = 2

2 76

Let’s Practice Share the chocolates equally. n Draw 1 chocolate on each plate and cross them off until no more remain. Fill in the blanks.

Re ga le du ca tio n

There are

chocolates ates tes in total.

On each plate there are

chocolates. cho

Share the raisins equally among the cookies. Fill in the blanks. ally y amon

Each cookie gets ge divide di ÷

raisins.

2 77

The counters have been shared equally. Write the division equation.

Re ga le du ca tio n

(a)

10 ÷ 2 =

(b)

9÷

(c)

2 78

Solve It!

Re ga le du ca tio

Riley spent her summer vacation in Europe. h Complete the division equations and match the letters to find the first city she visited. T

6÷2=

6÷3=

8÷2=

6÷1=

14 ÷ 2 =

15 ÷ 3 =

2 79

At Home Share the worms equally among the birds. Fill in the blanks.

Re ga le du ca tio n

worms. s.

Each bird gets divide ÷

Share the flowers equally ually ally amo amon among the children. Fill in the blanks.

Each girl gets get

flowers.

divide div ÷

280

The counters have been shared equally. Write the division equation. (a)

Re ga le du ca tio n

(b)

2 81

Grouping Equally

Re ga le du ca tio n

Let’s Learn

Halle packs 12 soft toys into boxes. 6 soft toys fit into each box. How many boxes does she use?

ups of 6 soft so toys. to There are 2 groups oxes.. Halle uses 2 boxes. e 6 is 2. 12 divide 12 ÷ 6 = 2

282

How can you check the answer?

Re ga le du ca tio n

Dominic has 24 pieces of candy. He gives each of his friends 6 candies. How many friends does Dominic give his candies to?

There are 4 groups of 6 candies. ndies. s. Dominic gives his candies to 4 friends. riends. 24 divide 6 is 4. 24 ÷ 6 = 4. There are 40 cubes. s.

(a) Divide the cubes es into gro groups of 10. How many are there? ny groups oups of cubes cube cu

There re are 4 groups of 10 cubes. re 40 ÷ 10 = 4

2 83

Re ga le du ca tio n

(b) Divide the cubes into groups of 8. How many groups of cubes are there?

There are 5 groups of 8 cubes. 40 ÷ 8 = 5

There are 20 groups of o 2 cubes. 40 ÷ 2 = 20 0

284

Let’s Practice Circle groups of 2 butterflies.

Re ga le du ca tio n

(a) How many butterflies are there re in total? (b) How many groups did you make? nce.. (c) Complete the sentence. divide

(d) Complete the division equation. sion on equa ÷

(e) Now circle rcle groups of 5 butterflies. b

How w many groups group did d you make?

mplete the se sen (f) Complete sentence. divi divide

((g) Complete Comp omplete the t division equation.

2 85

Circle groups of 6 flowers.

Re ga le du ca tio n

(a) How many flowers are there here in n total? d you ou make? (b) How many groups did

tence. (c) Complete the sentence. divide

iss

he division divi d equ (d) Complete the equation.

(e) Now circle cle groups of 3 flowers.

ow many groups grou did you make? How

(f) Write Write a division sentence.

(g) Write a d division equation.

286

At Home Circle groups of 3 buttons.

Re ga le du ca tio n

(a) How many buttons are there in n total? tal? (b) How many groups did you make? e? (c) Complete the sentence. divide

(d) Complete the division equation. ision n equation

(e) Now circle groups group of 5 flowers. flo

How many any y groups did di you y make?

e a division sente se (f) Write sentence.

(g) g) Write Write a division equation.

2 87

Circle groups of 4 blocks.

Re ga le du ca tio n

(a) Write a division sentence. (b) Write a division equation. n.

288

Complete the division ivisio vis equations. uatio (a) 4 ÷ 2 =

(b) 6 ÷ 2 =

(d) 10 ÷ 2 =

(e) 10 ÷ 5 =

(f) 14 ÷ 7 =

(g) 16 ÷ 4 =

(h) 12 ÷ 6 =

(i)

(j)

20 ÷ 5 =

24 ÷ 4 =

Dividing by 2

Re ga le du ca tio n

Let’s Learn

Sophie has 10 soccer balls. She puts an equal number of balls into 2 boxes. How many balls are in each box?

2 x 5 = 10

10 ÷ 2 = 5 There are 5 soccer balls in each bo box.

Michelle has 18 candies. ndies. s She puts an equal into 2 bags. ual number of candies ca How many candies bag? andiess are in each e

18 ÷ 2 = 9 There are in each bag. e 9 candies c

2 89

Let’s Practice The buttons are grouped in 2s. Fill in the blanks.

Re ga le du ca tio n

groups of

(a) There are

buttons.

uation. on (b) Complete the division equation. ÷

cks and complete comp Circle groups of 2 blocks the division equation. (a)

÷2=

(b)

÷2=

29 0

Circle groups of 2 dots and write a division equation.

Re ga le du ca tio n

(a)

(b)

Complete the division.

(a) 2 ÷ 2 =

(b) 4 ÷ 2 =

(d) (d 8 ÷ 2 =

(e) 10 ÷ 2 =

(f) 12 ÷ 2 =

Fill in the numbers. e missing ssing numb num er

4÷ (a) 14

(c)) 6 ÷ 2 =

(b)

÷ 2 = 10

(d)

÷ 2 = 16

2 91

At Home The coins are grouped in 2s. Fill in the blanks.

Re ga le du ca tio n

groups of

(a) There are

coins.

uation. on (b) Complete the division equation. ÷

cks and complete comp Circle groups of 2 blocks the division equation. (a)

÷2=

(b)

÷2=

292

Circle groups of 2 dots and write a division equation.

Re ga le du ca tio n

(a)

(b)

Complete the division.

(a) 2 ÷ 2 =

(b) 6 ÷ 2 =

(d) (d 14 ÷ 2 =

(e) 18 ÷ 2 =

(f) 22 ÷ 2 =

Fill in the e missing ssing numbers. numb num er

6÷ (a) 16

(c)) 4 ÷ 2 =

(b)

÷ 2 = 12

(d)

÷ 2 = 14

2 93

Dividing by 3

Re ga le du ca tio n

Let’s Learn 15 cookies are shared equally among 3 friends. How many cookies does each friend get?

3 x 5 = 15

15 ÷ 3 = 5 Each friend gets 5 cookies.

24 cans of spaghetti are into 3 boxes. e packed acked equally equa eq How many cans of spaghetti hetti tti are in each box?

24 ÷ 3 = 8 e 8 cans c There are of spaghetti in each box.

294

Let’s Practice The crayons are grouped in 3s. Fill in the blanks.

Re ga le du ca tio n

groups off

(a) There are

crayons. crayon

(b) Complete the division equation. ÷

locks ks and complete com c Circle groups of 3 blocks the division equation. (a)

÷3=

(b)

÷3= 2 95

Circle groups of 3 triangles and write a division equation.

Re ga le du ca tio n

(a)

(b)

Complete the division.

(a) 3 ÷ 3 =

(b) 6 ÷ 3 =

(d) (d 12 ÷ 3 =

(e) 15 ÷ 3 =

(f) 18 ÷ 3 =

Fill in the missing ssing numbers. numb num er

5÷ (a) 15

(c)) 6 ÷ 3 =

296

(b)

÷ 3 = 18

(d)

÷ 3 = 24

At Home The ducks are grouped in 3s. Fill in the blanks.

Re ga le du ca tio n

(a) There are

groups of

ducks. ducks

equation (b) Complete the division equation. ÷

Circle groups of 3 blocks locks ks and complete com c the division equation. (a)

÷3=

(b)

÷3=

2 97

Circle groups of 3 stars and write a division equation.

Re ga le du ca tio n

(a)

(b)

Complete the division.

(a) 9 ÷ 3 =

(b) 12 1 ÷3=

(d) (d 24 ÷ 3 =

(e) 27 ÷ 3 =

(f) 30 ÷ 3 =

Fill in the e missing ssing numbers. numb num er

8÷ (a) 18

(c)) 9 ÷ 3 =

298

(b)

÷ 3 = 15

(d)

÷ 3 = 21

Dividing by 4

Re ga le du ca tio n

Let’s Learn

There are 16 cupcakes. 4 cupcakes are placed into each box. How many boxes are needed?

4 x 4 = 16

16 ÷ 4 = 4 There are 4 cupcakes in each ch box.

24 balloons are shared 4 children. ed equally ally among am How many balloons child get? ns does each e c

24 ÷ 4 = 6 Each child gets 6 balloons.

2 99

Let’s Practice The leaves are grouped in 4s. Fill in the blanks.

(a) There are

ed uc ati on

groups of

leaves.

(b) Complete the division equation. quatio quation. ÷ 2.

ocks ks and complete com Circle groups of 4 blocks the division equation.

(a)

÷4=

(b)

300

÷4=

Circle groups of 4 dots and write a division equation.

Re ga le du ca tio n

(a)

(b)

Complete the division.

(a) 4 ÷ 4 =

(b) 24 2 ÷4=

(d) (d 28 ÷ 4 =

(e) 12 ÷ 4 =

(f) 32 ÷ 4 =

Fill in the numbers. e missing ssing numb num er

8÷ (a) 28

(c)) 24 4÷4=

(b)

÷ 4 = 10

(d)

÷4=9

301

At Home The nuts are grouped in 4s. Fill in the blanks.

Re ga le du ca tio n

groups of

(a) There are

nuts. nu

quation. atio (b) Complete the division equation. ÷

Circle groups of 4 cubes the division equation. ubess and complete com (a)

÷4=

(b)

÷4=

302

Circle groups of 4 hearts and write a division equation.

Re ga le du ca tio n

(a)

(b)

Complete the division. on.

(a) 16 ÷ 4 =

(b) ( 36 ÷ 4 =

(d) 20 ÷ 4 =

(e) 40 ÷ 4 =

(f) 12 ÷ 4 =

Fill in the numbers. he missing num nu

(a) 24 ÷

( ) 36 ÷ 4 = (c)

(b)

÷4=8

(d)

÷4=7

303

Dividing by 5

Re ga le du ca tio n

Let’s Learn

There are 15 bottles of ketchup. 5 bottles of ketchup are packed into each box. How many boxes are needed?

5 x 3 = 15

15 ÷ 3 = 15 3 boxes are needed..

45 strawberries are among 5 children. e shared equally equ e How many strawberries child get? awberries erries does do each e

45 ÷ 5 = 9 Each child gets 9 strawberries.

30 4

Let’s Practice The sweets are grouped in 5s. Fill in the blanks.

Re ga le du ca tio n

(a) There are

groups off

sweets. sweets

(b) Complete the division equation. ÷

ocks ks and complete com Circle groups of 5 blocks the division equation. (a)

÷5=

(b)

÷5=

305

Circle groups of 5 dots and write a division equation.

Re ga le du ca tio n

(a)

(b)

Complete the division.

(a) 5 ÷ 5 =

(b) (b 10 ÷ 5 =

(d) 20 ÷ 5 =

(e) 25 ÷ 5 =

(f) 30 ÷ 5 =

numb nu Fill in the missing numbers.

(a) 40 0÷

30 6

(b)

÷5=3

(d)

÷5=5

At Home The clips are grouped in 5s. Fill in the blanks.

Re ga le du ca tio n

(a) There are

groups off

clips.

(b) Complete the division equation. ÷

Circle groups of 5 blocks the division equation. locks ks and complete c com (a)

÷5=

(b)

÷5=

307

Circle groups of 5 moons and write a division equation.

Re ga le du ca tio n

(a)

(b)

Complete the division.

(a) 35 ÷ 5 =

(b) 45 4 ÷5=

(d) (d 50 ÷ 5 =

(e) 15 ÷ 5 =

(f) 40 ÷ 5 =

Fill in the e missing ssing numbers. numb num er

5÷ (a) 45

(c)) 35 5÷5=

308

(b)

÷5=4

(d)

÷5=6

Let’s Learn

ed uc ati on

Dividing by 10 There are 60 eggs. 10 eggs are packed into each carton. How many cartons of eggs are there?

60 0

10 x 6 = 60

60 ÷ 10 = 60 There are 6 cartons of eggs. s.

A florist has 100 flowers. She places an equal number flowers into 10 vases. mber er of flow flo How many flowers are in i each ch vase? vas

100 ÷ 10 = 10 1 There are 10 0 flowers in each vase. 309

Let’s Practice The marbles are grouped in 10s. Fill in the blanks.

(a) There are

ed uc ati on

groups of

marbles. marb marbl

(b) Complete the division equation. ÷

Circle groups of 10 blocks the division equation. cks and complete co c

÷ 10 =

310

Circle groups of 10 dots and write a division equation.

Re ga le du ca tio n

(a)

(b)

Complete the division.

(a) 40 ÷ 10 =

(b) 10 ÷ 10 =

(d) 70 ÷ 10 =

(e) 90 ÷ 10 =

(f) 30 ÷ 10 =

Filll in the he missing numbers. nu

(a) 70 ÷

(b)

÷ 10 = 9

(d)

÷ 10 = 4

31 1

At Home The shells are grouped in 10s. Fill in the blanks.

Re ga le du ca tio n

groups pss of

(a) There are

shells. sh she

(b) Complete the division ion equation. quation. ÷

Circle groups of 10 blocks b kss and complete the division equation.

÷ 10 =

312

Circle groups of 10 stars and write a division equation.

Re ga le du ca tio n

(a)

(b)

Complete the division..

(a) 50 ÷ 10 =

(b) (b 10 ÷ 10 =

(d) 40 ÷ 10 =

(e) 80 ÷ 10 =

(f) 60 ÷ 10 =

Fill in the missing numb numbers. nu

(a)) 50 0÷

(b)

÷ 10 = 8

(d)

÷ 10 = 7

31 3

Looking Back Share the raisins equally among the cookies. Fill in the blanks.

Re ga le du ca tio n

Each cookie gets divide ÷

raisins.

Share the fruits equally ly among mong the bowls. Fill in the blanks.

Each ach bowl bow gets ge divide divid ÷

31 4

fruits.

Circle groups of 6 buttons.

Re ga le du ca tio n

(a) How many buttons are there in total? (b) How many groups did you make? (c) Complete the division equation.

Divide by 2. Complete the equations. uations. ns.

(a) 2 ÷ 2 =

(b) 10 ÷ 2 =

(d) 16 ÷ 2 =

(e) 20 ÷ 2 =

(f) (f 4 ÷ 2 =

(g) 8 ÷ 2 =

(h) ( 12 ÷ 2 =

(i)

(j)

14 ÷ 2 =

18 ÷ 2 =

Divide by 3. Complete the equations.

(a) 9 ÷ 3 =

(b) 3 ÷ 3 =

c) 15 ÷ 3 = (c)

(d) 24 ÷ 3 =

((e) 21 ÷ 3 =

(f) 6 ÷ 3 =

(g) 112 ÷ 3 =

(h) 18 ÷ 3 =

(i)

30 ÷ 3 =

(j)

27 ÷ 3 =

31 5

Divide by 4. Complete the equations. (a) 36 ÷ 4 =

(b) 28 ÷ 4 =

(d) 8 ÷ 4 =

(e) 12 ÷ 4 =

(f) 4 ÷ 4 =

(g) 40 ÷ 4 =

(h) 24 ÷ 4 =

(i)

(j)

Re ga le du ca tio n

20 ÷ 4 =

tions. Divide by 5. Complete the equations.

(a) 5 ÷ 5 =

(b)) 15 5÷5=

(d) 30 ÷ 5 =

(e) 35 ÷ 5 =

(f) 20 2 ÷5=

(g) 45 ÷ 5 =

(h) (h 25 ÷ 5 =

(i)

(j)

50 ÷ 5 =

40 ÷ 5 =

omplete the t e Divide by 10. Complete equations.

0= (a) 40 ÷ 10

(b) 10 ÷ 10 =

(d) 70 ÷ 10 =

(e) 90 ÷ 10 =

(f) 30 ÷ 10 =

(g) 50 ÷ 10 =

(h) 100 ÷ 10 =

(i)

31 6

16 ÷ 4 =

80 ÷ 10 =

(j)

60 ÷ 10 =