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21 st Century Lessons

21 st Century Lessons. Combining Like Terms. 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. True or False? Explain your answer. True.

samson-lowery
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21 st Century Lessons

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  1. 21st Century Lessons Combining Like Terms

  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. True or False? Explain your answer. True a. True b. c. False d. True Agenda

  3. Agenda: 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. 1) Warm Up True or False?- Individual 5 minutes 2) Launch What is the Area?- Whole Class 5 minutes 3) Explore Using Tiles- Partners 17 minutes 4) Summary 18 minutes No Tiles, Vocabulary, Process, Quick Check- Partners, Whole Class 5) Practice Partners 15 minutes 6) Assessment Exit Slip- Individual 5 minutes

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

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

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

  7. Explore- Using Tiles Turn and Talk… Is this the only way to show 6x? + + 3x 3x x x x x x x x x x x x x + + 5x 1 x Agenda More Practice

  8. Explore- Using Tiles Turn and Talk… What would you get if you combined 5x + 3y + 2x + y? Use your tiles. + + + + + + y y y y y y y y y y x x x x x x x x x x x x x x Agenda

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

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

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

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

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

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

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

  16. Practice- Partners 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. Agenda

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

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