1. How do you write equivalent expressions with variables? For example, how can you write an equivalent expression for 3x 2 + 4x + 3?

2. In this lesson you will learn how to write equivalent expressions with variables by using a visual/area model.

3. Let’s Review We know that algebraic expressions contain numbers, operations and at least one variable. 2(x + 3) 4a-3 15 ÷ y 12 - w 2

4. Let’s Review The Distributive Property lets you multiply a sum by multiplying each addend separately and then add the products. 3(2 + 4)= (3 x 2)+ (3 x 4)

5. A Common Mistake Combining x 2 and x terms.

6. Let’s Review Core Lesson What does an algebraic expression look like? Let: Stand for 1 Stand for x Stand for x 2

7. Let’s Review Core Lesson We can show that the blue square represents x 2 because x x x 2

8. Let’s Review Core Lesson 3x 2 + 4x + 3 How could you regroup these to make an equivalent expression?

9. Let’s Review Core Lesson x 2 x 2 x 2 xxxx111 3 x 2 + 4x + 3 is equivalent to x 2 + x 2 + x 2 + x + x + x + x + 1 + 1 + 1

10. Let’s Review Core Lesson Regroup 2x 2 + x 2 + 2x + 2x + 3 is another way to write an equivalent expression for 3x 2 + 4x + 3. 2x 2 x 2 2x 2x 3

11. Let’s Review Core Lesson Let’s find two equivalent expressions for 3(x + 1) The Distributive Property can help us. 3(x + 1) = (3 x) + (3 1) = 3x + 3 That’s one!

12. Let’s Review Core Lesson Let’s use the first equivalent expression to write another. That’s another! 3x + 3 A drawing can help us. We can regroup these. 2x+ x+ 3

13. In this lesson you have learned how to write equivalent expressions with variables by using a visual/area model.

14. Let’s Review Guided Practice Using a drawing, write an equivalent expression for 2x 2 + 2x + 2.

15. Let’s Review Extension Activities Use drawings and the Distributive Property to help you determine which of these expressions pairs is equivalent: 4x 2 + 12 and 4(x 2 + 3) 2y +1 and 2(y + 1)

16. Let’s Review Extension Activities Use a drawing and the Distributive Property to help you write an equivalent expression for a. 2(2x + 3) b. 3x 2 + 3x + 3 …

17. Let’s Review Extension Activities Write two equivalent expressions for x 2 + 2x + 6.

18. Let’s Review Quick Quiz Write an equivalent expression for 2x 2 + x + 4

19. Let’s Review Quick Quiz Write an equivalent expression for 2(x + 1).