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How does drawing a picture help us solve multi-digit multiplication?PowerPoint Presentation

How does drawing a picture help us solve multi-digit multiplication?

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How does drawing a picture help us solve multi-digit multiplication?

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How does drawing a picture help us solve multi-digit multiplication?

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How does drawing a picture help us solve multi-digit multiplication?

368x 7 =

In this lesson, you will learn how to multiply a 3 digit number by a 1 digit number…by drawing an area model to organize your thinking.

+

4 x 7=

4 x 20=

4 x 27=

108

28

80

27x 4 =

Let’s Review

20

+

7

4

4 x 20=

4 x 7=

28

80

Let’s Review

368x 7 =

Expanded Notation

368=

300

60

8

+

+

300x 7 =

3.

3.

2.

8 x 7=

1.

8 x 7=

300x 7 =

2.

1.

56

420

56

2,100

2,100

420

368x 7 =

60x 7 =

60x 7 =

300

60

8

+

+

7

A Common Mistake

Multiplication

Addition

360x 7 =

360x 7 =

+

60x 7 =

300x 7 =

420

2,520

2,520

2,100

Core Lesson

368x 7 =

300

360

60

8

+

+

300x 7 =

2,100

60x 7 =

420

8x7=

56

7

360x 7 =

368x 7 =

360x 7 =

+

2,520

2,520

2,576

Core Lesson

368x 7 =

360

8

+

8x7=

56

7

8 x 7 =

56

360x 7 =

368x 7 =

+

368x 7 =

2,520

2,576

2,576

Core Lesson

368x 7 =

2,576

360

368

8

+

7

8 x 7 =

56

In this lesson, you have learned how to multiply a 3 digit number by a 1 digit number…by drawing an area model to organize your thinking.

400x 6 =

457x 6 =

457x 6 =

+

7 x 6=

50x 6 =

7x6=

50x 6 =

56

300

2,756

2,756

2,400

300

56

457x 6 =

2,756

Guided Practice

400

50

7

+

+

6

50x 6 =

300

7x6=

42

400x 6 =

2,400

Extension Activities

Label the diagram below to solve the problem:

243x 8 =

?

?

?

+

+

?

Extension Activities

Label the diagram below, then write the number sentences in the areas for:

243x 8 =

?

?

?

+

+

?

?x ? =?

?x ? = ?

?x?= ?

275=200+ 70 + 5

275=200+ 75

275=270+ 5

275=275+ 70 + 5

D.

A.

B.

C.

Quick Quiz

Which number sentence is not a way to name 275 ?

D.

270x 3 =

75x3=

C.

5x3=

200x 3 =

B.

200x 3 =

70x3=

5x3=

A.

5x3=

70x3=

200x 3 =

15

15

15

225

210

210

600

600

825

810

+

+

+

+

+

+

200

200

275

70

70

5

5

75

5

270

3

3

3

3

Which diagram is not correctly naming: ?

Quick Quiz

275x 3 =