**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**

.

(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**

https://www.ixl.com/math/grade-6/multiply-using-the-distributive-property

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