# ﻿The Distributive Property, Part 2

Warmup

Activity #1

`Discover a Common Error in the Application of the Distributive Property .`

In this activity, you are going to use the applet below to see a common error made by learners in applying the distributive property. Just follow the instructions below to find that out.

• Check the “Simplify” box and move all the sliders to “Show” position. Our goal here is to find out which of the expressions are equivalent.
• Check the “Substitute” box to put in arbitrary numbers.
• Check the “Evaluate” box.
• Note which answers are the same.
• Check the “Show sliders for variables” to use different numbers.
• Move the green slider up and down to use different values of a. Note which expressions give the same answers.

The right panel is included just to show you a common error with using the distributive property.

Activity #2

``Practice the Distributive Property by Playing a Game.``

• Practice the game in the applet below to see how many possible combinations you can make with the digits 1 to 9. Keep in mind that each digit can be used only once.
• When you get a possible set, keep trying to find other sets using the next applet.
• Make sure you compare your result well to avoid a repetition. Just follow the instructions inside the box.

• Make another true equation that is different from your first one.

• Make another true equation that is different from your first one.

Activity #3

``Application of the Distributive Property to Solve Area Problems.``

In this activity, you are going to use the distributive property to find the area of a shape that has been partitioned. Follow the instructions below to find the area of each rectangle.

• For each rectangle below, write expressions for the length and width and two expressions for the total area.
• Record them in the table. Check your expressions in each row.

Challenge #1

Here is a rectangle below.

(1.) Explain why the area of the large rectangle is 2a + 3a + 4a.

(2.) Explain why the area of the large rectangle is (2 + 3 + 4)a.

Challenge #2

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(1.) Is the area of the shaded rectangle 6(2 –) or 6( – 2)

(2.) Explain how you know.

Challenge #3

Choose the expressions that do not represent the total area of the rectangle below.

Quiz Time