How would you divide

3,180 ÷ 15?

In this lesson you will learn how to divide

by using an area model.

Let’s ReviewLet’s ReviewMultiplication and division are inverse

operations.

45 ÷ 9 = n

n x 9 = 45

9 x n = 45

Let’s ReviewLet’s ReviewChallenging problems can be broken

into smaller parts

20 x 13 20 = 2 x 10

I know that 20 is 2 times 10

I can multiply 13 x 2 and get

26

Then I can multiply 26 x 10

and get 260

26 x 10 = 260

13 x 2 = 26

20 x 13 = 260

Let’s ReviewLet’s Review

An area model can be used to show division.

24 ÷6 = 4

length = 6

width = 424

Let’s ReviewCore Lesson

3,180 ÷ 15

Smart rounding ≈ 3,000 ÷ 15

Smart estimate ≈200

30 divides easily by 15

Let’s ReviewCore Lesson3,180 ÷ 15

This makes sense since our smart estimate was 200

10 x 15= 150100 x 15= 1,500

200 x 15 = 3,000

10 x 15= 150 -(20 x 13) =260 0

15

200 -(200 x 13) = 2,600 2603,000

10

150

15 3,180

180- 3,000 (15 x 200)

- 150 (15 x 10) 30 - 30 (15 x 2 )

0

2 x 15= 30 2 30

212 x 15 = 3,180 3,180 ÷ 15 =

212

Let’s ReviewCore Lesson

There are 1,438 stickers for 13 students. How many stickers does each student get?

Smart rounding ≈ 1,400 ÷ 14

Smart estimate is around 100

1,400 divides easily by 14

Let’s ReviewCore Lesson 1,438 ÷ 13

This makes sense since our smart estimate was 100

10 x 13= 130100 x 13= 1,300

10 x 13= 130 -(20 x 13) =260 0

13

100 -(200 x 13) = 2,600 2601,300

10

130

13 1, 438

138- 1,300 (13 x 100)

- 130 (13 x 10) 8

110 x 13 + 8 = 1,438 1,438 ÷ 13 = 110 with 8 left

8 left

In this lesson you have learned how to divide

by using an area model.

Let’s ReviewGuided Practice

What is 2,544 ÷ 12?

Let’s ReviewExtension ActivitiesUse an area model to divide 1,845 ÷ 15.

Explain your work.

Rita is sorting her giant penny collection into boxes. She wants each box to have the same number of pennies. She has 2,435 pennies. If she has 12 boxes, how many pennies will she put in each box. Will she have any left over? How much money does she have?

Let’s ReviewQuick Quiz

Which model shows the division of 1,420 ÷ 20?

-(20 x 13) =260 0

20

40

260800

20

4001 20 -(20 x 13) =260

20

40

260800

11

220

20 400 -(20 x 13) =260 0

20

400

260800

20

400 11

220

A B C

Let’s ReviewQuick Quiz

Which model shows the division of 2,820 ÷ 12?

-(20 x 13) =260 0

12

200

2602400

30

360 5 60 -(20 x 13) =260

12

100

2601200

30

360

100 1200 -(20 x 13) =260 0

12

200

2602400

30

360 10

120

A B C