The Area Model for MultiplicationUnit 7 Lesson 7

67

43 “drawing an area model”

Partial ProductsPartial Products

Whole (big) Parts (sm

all) 60 + 7

60 + 7

40 x 60 = 2,4002,40040 x 7 = 280280

3 x 60 = 1801803 x 7 = 2121

Rectangle SectionsRectangle Sections

43

67

43 x 67

50 + 4

50 + 4

30 x 50 = 1,50030 x 4 = 120 9 x 50 = 450 9 x 4 = + 36 2,106

60 + 7

60 + 7

a

c

b

d

43 = 40 + 3 AX 67 = 60 + 7 40 x 60 = 2,400 40 x 7 = 280 3 x 60 = 180 3 x 7 = 21 2, 881

B 43 X 67 2,400 280 180 21 2, 881

Expanded Notation

Try these.Use any method you like.

• There are 32 cattle cars on today’s train to Detroit. Each car holds 28 cows. How many cows are on the train?

Another Example

• Maria jogs 21 miles every week. If there are 52 weeks in a year, how many miles does Maria jog a year?