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This activity is intended to supplement Algebra I, Chapter 9, Lesson 2.

Problem 1 - Introduction to Area of a Rectangle

Run the AREA program (in PRGM) and select the option for Problem 1 (#1).

Enter 6 for W.

1. What are the lengths of the sides of the rectangle?

2. What is the area of the rectangle when w = 6?

Now, change the width of the side by running the program again and enter a new value for W.

3. What is the area of the rectangle when w = 4? When w = 9?

4. Explain how the expression for the area is simplified.

Problem 2 - Areas of Small Rectangles

The rectangle at the right has dimensions (x + 7) and rate of (x + 2). Each piece of the rectangle is a different color so that you can focus on its area.

5. What is the area of each small rectangle?

6. What is the total area of the rectangle?

Problem 3 - FOIL Method

Run the AREA program and select the option for Problem 3.

Enter (x + 7)(x + 2) for (AX+B)(CX+D). (A = 1, B = 7, C = 1, D = 2)

7. How do the areas of the small rectangles in Problem 2 relate to the expression shown on the bottom of the screen?

Practice finding the area of a rectangle and then check your answers with the program.

8. What is the expression of the area of a rectangle with dimensions (3x + 5) and (6x + 2)?

9. a. (4x + 1)(3x + 9)

b. (x + 8)(7x + 3)

c. (2x + (-3))(5x + 8)

Homework/Extensions

Practice finding the area. Record your answers here. Show each step of your work. Use the program to check your answer.

1. a. (4x + 2)(x + 7) =

b. (3x - 7)(2x + 4) =

c. (2x + 5)(6x + 1) =

d. (5x + 3)(9x - 2) =

Next, you will be multiplying a trinomial (3 terms) times a binomial (2 terms) to find the area of a rectangle.

2. What method can you use to find the simplified expression for the area?

3. Use the letters a, b, c, d, and e to determine the formula used to find the 6 terms of area shown at the right.

4. What is the area of the rectangle with dimensions (1x^2 + 3x + 4) and (5x + 6)?

5. a. (2x^2 + 1x + 7)(3x + (-6)) =

b. (4x^2 + 3x + 8)(x + 3) =

c. (2x^2 + 6x + 4)(-3x + 9) =

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Date Created:

Feb 22, 2012

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Dec 11, 2013
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TI.MAT.ENG.SE.1.Algebra-I.10.1

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