how does drawing a picture help us solve multi-digit multiplication? 368 x 7 =

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How does drawing a picture help us solve multi-digit multiplication? 368 x 7 =

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

368 x 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.

Let’s ReviewLet’s ReviewLet’s ReviewLet’s Review 27 x 4 =

4

20 7+

4 x 20= 4 x 7=80 28

4 x 20= 804 x 7= 28+4 x 27=108

Let’s ReviewLet’s ReviewLet’s ReviewLet’s Review 368 x 7 =

368 = 300+60 + 8

Expanded Notation

A Common MistakeA Common MistakeA Common MistakeA Common Mistake

300 x 7 =2,1003.

Multiplication

60 x 7 =4202.8 x 7= 561.

Addition

300 x 7 =2,1001.60 x 7 = 4202.

8 x 7= 563.

7

300 + 60 + 8368 x 7 =

Core LessonCore LessonCore LessonCore Lesson 368 x 7 =

7

300 + 60 + 8300 x 7 =2,100 60 x 7 = 4208x7=56

300 x 7 =2,10060 x 7 = 420+

360 x 7 =2,520

360 x 7 =2,520

360

Core LessonCore LessonCore LessonCore Lesson 368 x 7 =

7

+ 88x7=56

+

360 x 7 =2,520

360 x 7 =2,520

8 x 7 = 56

368 x 7 =2,576

360

Core LessonCore LessonCore LessonCore Lesson 368 x 7 =

7

+ 8

368 x 7 =2,576

+

360 x 7 =2,5208 x 7 = 56

368 x 7 =2,576

2,576

360 368

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.

Guided PracticeGuided PracticeGuided PracticeGuided Practice

6

400 + 50 + 7

400 x 6 =2,400 50 x 6 = 3007x6=42

457 x 6 =

400 x 6 =2,40050 x 6 = 300

7x6=5650 x 6 = 3007 x 6= 56+

457 x 6 =2,756

457 x 6 =2,756

2,756

Extension ActivitiesExtension ActivitiesExtension ActivitiesExtension Activities

?

? + ? + ?

243 x 8 =Label the diagram below to solve the

problem:

Extension ActivitiesExtension ActivitiesExtension ActivitiesExtension Activities

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

?

? + ? + ?

243 x 8 =

? x ? =? ? x ? = ? ?x?= ?

Quick QuizQuick QuizQuick QuizQuick Quiz

Which number sentence is not a way to name 275 ?

275 = 200 + 70 + 5A.

275 = 200 + 75B.275 = 270 + 5C.

275 = 275 + 70 + 5D.

Quick QuizQuick QuizQuick QuizQuick Quiz Which diagram is not correctly naming: ?275 x 3 =

3

275 + 70 + 5

200 x 3 =825 70x3=210 5x3=15

A.

3

200 + 70 + 5

200 x 3 =600 70x3=210 5x3=15

B.

3

270 + 5

270 x 3 =810 5x3=15

C.

3

200 + 75

200 x 3 =600 75x3=225

D.