The Distributive Property, Part 3

Warmup

Attempt the solution to the problem before clicking to see the answer.


Activity #1

Practice the Distributive Property with Models.

The model below is the distributive property for 2 x (3 + 4). Follow the instructions in the box to perform the activity.

Always note that the shaded portion always represents the first multiplication of the numbers that you choose, while the unshaded portion represents the second multiplication.


Activity #2

Match Equivalent Expressions.

Draw lines to match each expression in column 1 to an equivalent expression in column 2. If you get stuck, consider drawing a diagram in the second applet below.


Activity #3

Apply the Distributive Property to write Equivalent Expressions.

In the following activity, you are going to use the distributive property to write equivalent expressions. The instructions on how to interact with the applet are given below.

  • In each row, use the distributive property to write an equivalent expression.
  • If you get stuck, consider drawing a diagram in the applet below the table.

Write an equivalent expression for the given expression. Try to do as many problems as you can in this activity.


Challenge #1

A rectangle with dimensions 6 cm and W cm is partitioned into two smaller rectangles.

Explain why each of these expressions represents the area, in cm2, of the shaded region.

(1). 6W – 24

(2). 6(W – 4)


Challenge #2

Select all the expressions that are equivalent to 16 + 36.


Challenge #3