the distributive property and area models
DESCRIPTION
The Distributive Property and Area Models. Find the area of the rectangle. Area = length x width. 6 ft. 24 ft. Find the area of the rectangle. Area = length x width. 6 ft. 24 ft. Find the area of the rectangle. Area = length x width. 6 ft. 20 ft+ 4 ft. - PowerPoint PPT PresentationTRANSCRIPT
The Distributive Propertyand
Area Models
Find the area of the rectangle.Area = length x width
6 ft
24 ft
Find the area of the rectangle.Area = length x width
6 ft
24 ft
Find the area of the rectangle.Area = length x width
6 ft
20 ft + 4 ft
Find the area of the rectangle.Area = length x width
6 ft
20 ft + 4 ft
Find the area of the rectangle.Area = length x width
6 ft
20 ft + 4 ft
6 ft
Find the area of the rectangle.Area = length x width
6 ft
20 ft + 4 ft
6 ft
Find the area of each rectangle.
Find the area of the rectangle.Area = length x width
6 ft
20 ft + 4 ft
6 ft
Find the area of each rectangle.
6 x 20 = 120 sq ft
Find the area of the rectangle.Area = length x width
6 ft
20 ft + 4 ft
6 ft
Find the area of each rectangle.
6 x 20 = 120 sq ft 6 x 4 = 24
sq ft
Find the area of the rectangle.Area = length x width
6 ft
20 ft + 4 ft
6 ft
Find the area of each rectangle.
120 sq ft 24 sq ft
Find the area of the rectangle.Area = length x width
6 ft
20 ft + 4 ft
6 ft
Now put the two rectangles back together.
120 sq ft 24 sq ft
Find the area of the rectangle.Area = length x width
6 ft
20 ft + 4 ft
Now put the two rectangles back together.
120 sq ft 24 sq ft
Find the area of the rectangle.Area = length x width
6 ft
20 ft + 4 ft
Now put the two rectangles back together.
120 sq ft 24 sq ft
Find the area of the rectangle.Area = length x width
6 ft
24 ft
Now put the two rectangles back together.
120 sq ft + 24 sq ft
Find the area of the rectangle.Area = length x width
6 ft
24 ft
Now put the two rectangles back together.
144 sq ft
A swimming pool has a shallow end and a deep end. Find the surface
area of the pool.
shallow waterdeepwater8
yds
5 yds 10 yds
shallow waterdeepwater8
yds
5 yds 10 yds
8 yds
Break the pool into a deep end and a shallow end.
shallow waterdeepwater8
yds
5 yds 10 yds
8 yds
Find the area of the deep end.
shallow water8 x 5 = 40
8 yds
5 yds 10 yds
8 yds
Find the area of the deep end.
shallow water8 x 5 = 40
8 yds
5 yds 10 yds
8 yds
Find the area of the shallow end.
8 x 10 = 808 x 5 = 40
8 yds
5 yds 10 yds
8 yds
Find the area of the shallow end.
8 x 10 = 808 x 5 = 40
8 yds
5 yds 10 yds
8 yds
Now sum the two areas together.
80 408 yds
5 yds 10 yds
Now sum the two areas together.
+
80 408 yds
5 yds 10 yds
40 + 80 = 120 square yards
Write an expression that shows how to find the area of the rectangle and
uses the distributive property.
9 yds
5 yds 20 yds
Write an expression that shows how to find the area of the rectangle and
uses the distributive property.
9 yds
5 yds 20 yds
9(5 + 20)
Find the areas for each individual rectangle.
9 yds
5 yds 20 yds
Find the areas for each individual rectangle.
9 yds
5 yds 20 yds
(9 x 5)
Find the areas for each individual rectangle.
9 yds
5 yds 20 yds
(9 x 5) (9 x 20)
Sum the two areas.
9 yds
5 yds 20 yds
(9 x 5) (9 x 20)+
(9 x 5) + (9 x 20) = area
9 yds
5 yds 20 yds
(9 x 5) (9 x 20)
(40) + (180) = area
9 yds
5 yds 20 yds
(40) (180)
(40) + (180) = area
9 yds
5 yds 20 yds
212 yds2
Write an expression that shows how to find the area of the rectangle and
uses the distributive property.
3
x 6
Write an expression that shows how to find the area of the rectangle and
uses the distributive property.
3
x 6The length can be represented by x + 6.
Write an expression that shows how to find the area of the rectangle and uses the distributive
property.
3
x 6Therefore, the area can be expressed as
3(x + 6)or
3x + 18
The expression 10x + 15 can represent the area of the figure below.
10x 15
Find the expression that represents the length and the width.
This problem was taken from the 6th Grade Mathematics Unpacked Content Document
First, find the greatest common factor to represent the width.
10x 15
What is the greatest common factor?
This problem was taken from the 6th Grade Mathematics Unpacked Content Document
The GCF is 5.
10x 15
Then use the distributive property to find the length(2x + 3)
This problem was taken from the 6th Grade Mathematics Unpacked Content Document
5 2x 3
The factors (dimensions) of this figure would be 5(2x + 3)
This problem was taken from the 6th Grade Mathematics Unpacked Content Document
5
2x 3
Practice Time
Write an expression that shows how to find the area of the rectangle and uses the
distributive property.
4 yds
3 yds 9 yds
Write an expression that shows how to find the area of the rectangle and uses the
distributive property.
4 yds
3 yds 9 yds
4(3 + 9)
Write an expression that shows how to find the area of the rectangle and uses the
distributive property.
4 yds
3 yds 9 yds
Write an expression that shows how to find the area of the rectangle and uses the
distributive property.
4 yds
3 yds 9 yds
Write an expression that shows how to find the area of the rectangle and uses the
distributive property.
4 yds
3 yds 9 yds
4 yds
Write an expression that shows how to find the area of the rectangle and uses the
distributive property.
4 yds
3 yds 9 yds
4 yds
4 x 3
Write an expression that shows how to find the area of the rectangle and uses the
distributive property.
4 yds
3 yds 9 yds
4 yds
4 x 3 4 x 9
Write an expression that shows how to find the area of the rectangle and uses the
distributive property.
4 yds
3 yds 9 yds
4 yds
4 x 3 4 x 9
Write an expression that shows how to find the area of the rectangle and uses the
distributive property.
4 yds
3 yds 9 yds
4 x 3 4 x 9
Write an expression that shows how to find the area of the rectangle and uses the
distributive property.
4 yds
3 yds 9 yds
4 x 3 4 x 9
Write an expression that shows how to find the area of the rectangle and uses the
distributive property.
4 yds
3 yds 9 yds
4 x 3 + 4 x 9
Write an expression that shows how to find the area of the rectangle and uses the
distributive property.
6 yds
4 yds 8 yds
Write an expression that shows how to find the area of the rectangle and uses the
distributive property.
6 yds
4 yds 8 yds
6(4 + 8)
Write an expression that shows how to find the area of the rectangle and uses the
distributive property.
6 yds
4 yds 8 yds
Write an expression that shows how to find the area of the rectangle and uses the
distributive property.
6 yds
4 yds 8 yds
Write an expression that shows how to find the area of the rectangle and uses the
distributive property.
6 yds
4 yds 8 yds
6 yds
Write an expression that shows how to find the area of the rectangle and uses the
distributive property.
6 yds
4 yds 8 yds
6 yds
6 x 4
Write an expression that shows how to find the area of the rectangle and uses the
distributive property.
6 yds
4 yds 8 yds
6 yds
6 x 4 6 x 8
Write an expression that shows how to find the area of the rectangle and uses the
distributive property.
6 yds
4 yds 8 yds
6 yds
6 x 4 6 x 8
Write an expression that shows how to find the area of the rectangle and uses the
distributive property.
6 yds
4 yds 8 yds
6 x 4 6 x 8
Write an expression that shows how to find the area of the rectangle and uses the
distributive property.
6 yds
4 yds 8 yds
6 x 4 6 x 8
7) Write an expression that shows how to find the area of the rectangle and uses the
distributive property.
6 yds
4 yds 8 yds
6 x 4 + 6 x 8
8) Write an expression that shows how to find the area of the rectangle and uses the
distributive property.
5 yds
x yds 10 yds
Write an expression that shows how to find the area of the rectangle and uses the
distributive property.
5 yds
x yds 10 yds
5(x + 10)
Write an expression that shows how to find the area of the rectangle and uses the
distributive property.
5 yds
x yds 10 yds
5x 5 ∙ 10
Write an expression that shows how to find the area of the rectangle and uses the distributive property.
5 yds
x yds 10 yds
5x + 5 ∙ 10
or
5x + 50
Which expression is equivalent to 3(x + 7)?
3x + 7
x + 21
x + 10
3x + 21
Which expression is equivalent to 3(x + 7)?
3x + 21 Correct!
Which expression is equivalent to 4(x + 5)?
4x + 5
4x + 20
x + 9
9x
Which expression is equivalent to 4(x + 5)?
4x + 20 Correct!
Which expression is equivalent to 8(x + 2)?
8x + 16
8x + 2
10x
8x + 10
Which expression is equivalent to 8(x + 2)?
8x + 16 Correct!
Which expression is equivalent to 2(x + 3)?
2x + 3
2x + 5
2x + 6
2x + 2
Which expression is equivalent to 2(x + 3)?
2x + 6 Correct!