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Combining Like Terms Warm-Up Lesson

This lesson teaches students how to determine if expressions are equivalent by combining like terms. Students will also learn to explain this concept in words. The agenda includes warm-up, launch, exploration using tiles, summary without tiles, practice with partners, and assessment via exit slip. The lesson covers the commutative property, vocabulary, processes of rewriting and combining terms, and quick checks for understanding. Students engage in hands-on activities using tiles to represent variables and practice writing equivalent expressions. Through group discussions and analysis of mistakes, students deepen their understanding of combining like terms.

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Combining Like Terms Warm-Up Lesson

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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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