Arrays
Distributive Property
Word Problems: build on each other, go in order
Vocabulary
Other
100

The 3rd grade teachers have rectangular rugs that each take up 36 square feet.  

Draw 3 arrays that could represent the rugs.

Label each side length.

Write the multiplication number sentence & solve.

1x36=36 ft2     36x1=36 ft2

2x18=36 ft2     18x2=36 ft2

3x12=36 ft2     12x3=36 ft2

4x9=36 ft2      9x4=36 ft2

6x6=36 ft2

100

Ms. Navratil displays student work on a 7ft x 5 ft bulletin board.

Mrs. Atkinson displays student work on 5ft x 4ft and 5ft x 3ft boards.

Who has a larger area to display work?

Ms. N. 7x5= 35 ft2

Mrs. A. 5x4= 20 ft2       5x3= 15 ft2

Mrs. A. 20+15= 35 ft2

Ms. N. and Mrs. A. have the same amount of area

100

The students are designing the playground.

Plan A has these sections:

12m x 3m

6m x 3m

12m x 4m

What is the total area of Plan A?

12m x 3m= 36m2

6m x 3m= 18m2

12m x 4m=48m2

36 + 18 + 48= 102 sq meters

100

The amount of space something takes up?

area

100

How do you label area?  Why?

units squared

It's the whole space (grid, rug), not just a line (edge).

200

*Do before "Arrays 300"

The lunch table is 2 ft by 10 ft.

Draw and label 1 lunch table.

Find the total area of 1 lunch table.

2 x 10 = 20 sq ft.

200

*Do before "Distributive Property 300"

The school is building a new project room.

Find the area of A, B, and C.

*Teacher: Draw image from math book p.206 (or p212) #4.

*Students, you need to use the lengths given to figure out the other side lengths, then find the area of each rectangle.

A: 3x7= 21 sq m

B: 3x10= 30 sq m

C: 6 x10= 60 sq m

200

The students are designing the playground.

Plan B has these sections:

3m x 3m

9m x 3m

12m x 4m

What is the total area of Plan B?

3m x 3m= 9m2

9m x 3m= 27m2

12m x 4m=48m2

9 + 27 + 48= 84 sq meters

200

Explain the Distributive Property of Multiplication in words.

break apart

200

How does knowing multiplication help you figure out area?

You can find the area of rectangles.  The rectangles are like arrays in multiplication.

300

*Do after "Arrays 200"

Each class has 3 total lunch tables.

What is the total area of 1 class's lunch tables?

20 x 3= 60 sq ft.

300

*Do after "Distributive Property 200"

What is the total area of the new project room?

21+30+ 60= 111 sq meters

300

Which playground plan would you want?

Why?

Plan A, it's 18 sq meters bigger than Plan B.

102-84= 18m2

300

The answer in:

addition

subtraction

multiplication

division

sum

difference

product

quotient

300

Skip count by 6s:

6, 12,......................................60

6, 12, 18, 24, 30, 36, 42, 48, 54, 60