1. 21 st Century Lessons Combining Like Terms 1

2. Warm Up OBJECTIVE: Students will be able to determine if expressions are equivalent by combining like terms. Language Objective: Students will be able to explain in words how to combine like terms. Agenda 2 True or False? Explain your answer. a. b. c. d. True False

3. Agenda: 1) Warm Up 2) Launch 3) Explore 4) Summary 5) Practice 6) Assessment 3 True or False?- Individual What is the Area?- Whole Class No Tiles, Vocabulary, Process, Quick Check- Partners, Whole Class Using Tiles- Partners Exit Slip- Individual Partners OBJECTIVE: Students will be able to determine if expressions are equivalent by combining like terms. Language Objective: Students will be able to explain in words how to combine like terms. 5 minutes 17 minutes 18 minutes 15 minutes

4. Launch- What is the Area? Agenda 4 What is the area of the rectangle? x 43 x 43 x 7 x 43 x 4x3x Area = 4x + 3x + 7x Area = 7x

5. Explore- Using Tiles Agenda 5 Think back to the warm up. xx x Can we represent 3x another way using tiles? So, how many tiles would we need? + Let each x represent a red tile. x x x We just combined all the x’s! Definition

6. Explore- Using Tiles Agenda 6 Think back to the warm up. xx x So, how many tiles would we need? Let each x represent a red tile. We just combined all the x’s! Click to go back

7. 7 Explore- Using Tiles Using your tiles, what would you get Agenda x x xxxx + xxxxxx if you combined 2x + 4x? Is this the only way to show 6x? Now combine!

8. 8 Explore- Using Tiles Agenda x x x xxx + xxxxxx Is this the only way to show 6x? + 3x + 5xx1 + More Practice

9. Explore- Using Tiles Agenda 9 What if we use a different variable, say y? We would need a different color to represent the y. Combine 4y + 3y using tiles. y y y + y y y y 4y 3y +

10. 10 Explore- Using Tiles What would you get if you combined Agenda 5x + 3y + 2x + y? Use your tiles. xxxxx xx yyy y y + ++ xxxxx yyy + xx + y y +

11. 11 Summary- No Tiles Agenda Commutative Property How can we combine without using tiles? 5x + 3y + 2x + y 5x + 3y2x + y + Identify variables that are the same Now Combine! +

12. 12 Agenda Summary- Vocabulary Term: a single number, variable, or number and variables multiplied together. Example are terms in this expression. Like Terms: terms that have the same variable or power. and

13. 13 Agenda 1. Copy the expression 3. Rewrite using the Commutative Property 4. Combine the variables that are the same 2. Identify the like terms Summary- Process 5x + 3y2x + y +

14. Summary- Quick Check Agenda 14 With your partner, write an equivalent expression for the following: #1. 4a + 6b + 3a + 9b #2. 15x – 4x + 12 #3. y + y + y #4. 5y + 7z 7a + 15b 11x + 12 3y 5y + 7z Click for definition

15. Summary- Process Agenda 15 With your partner, write an equivalent expression for the following: Definition: two expressions that are equal Press to go back

16. Practice- Partners 16 Agenda I. Model the following expression by drawing squares. Let = x = y a. b. + + + +

17. Practice- Partners 17 Agenda II. Explain why the following statement is true. 2x and 4y are not like terms, therefore, you cannot combine them. Another Explanation

18. Practice- Partners 18 Agenda II. Explain why the following statement is true. If x = 3 and y = 5

19. Practice- Partners 19 Agenda III. Write an equivalent expression for the following expressions. 1. 2. 3.

20. Practice- Partners 20 Agenda IV. Explain Yvonne’s mistake in the following problem. Yvonne just added all the numbers together. She can add numbers that are the like terms, 8x and 6x, but not 2 since it does not have an x.

21. Assessment- Exit Slip 21 Agenda Jose and Amy were asked to combine 7x + 2y + 6y + 3x. Decide who is correct. Explain. Jose 7x + 2y + 6y + 3x Jose’s work 7x + 3x + 2y + 6y 10x + 8y 18xy 7x + 2y + 6y + 3x = 18xy Amy 7x + 2y + 6y + 3x Amy’s work 7x + 3x + 2y + 6y 10x + 8y 7x + 2y + 6y + 3x = 10x + 8y