Combining Like Terms 1 Warm Up OBJECTIVE Students
Combining Like Terms 1
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. 2 a. True b. c. d. True False True
Launch- What is the Area? What is the area of the rectangle? x 4 x 4 3 x 3 Area = 4 x + 3 x 3 x 4 x 3 7 x 47 + 3 Area = 7 x
Explore- Using Tiles Think back to the warm up Let each x represent a red tile. We just So, how many tiles would we need? x x x combined all the x’s! Can we represent 3 x another way using tiles? x 4 x + x .
Explore- Using Tiles Using your tiles, what would you get if you combined 2 x + 4 x? x x + x x x x Now combine! x Is this the only way to show 6 x? 5
Explore- Using Tiles Is this the only way to show 6 x? x x x 5 x 6 x x + 3 x x + x x x 3 x + 1 x
Explore- Using Tiles What would you get if you combined 5 x + 3 y + 2 x + y? Use your tiles. x x x 7 + y y y + x x + y y
Summary- No Tiles How can we combine without using tiles? 5 x + 3 y + 2 x + y Identify variables that are the same Commutative Property + 8 Now Combine!
Summary- Vocabulary Example Vocabulary • 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 9 and
Summary- Process 1. Copy the expression 2. Identify the like terms 5 x + 3 y + 2 x + y 3. Rewrite using the Commutative Property 4. Combine the variables that are the same 10
Summary- Quick Check With your partner, write an equivalent expression for the following: 11 #1. 4 a + 6 b + 3 a + 9 b 7 a + 15 b #2. 15 x – 4 x + 12 11 x + 12 #3. y + y #4. 5 y + 7 z 3 y 5 y + 7 z
Practice- Partners I. Model the following expression by drawing squares. Let =x =y a. + b. + 12 + +
Practice- Partners II. Explain why the following statement is true. 2 x and 4 y are not like terms, therefore, you cannot combine them. 13
Practice- Partners III. Write an equivalent expression for the following expressions. 1. 2. 3. 14
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, 8 x and 6 x, but not 2 since it does not have an x. 15
Assessment- Exit Slip Jose and Amy were asked to combine 7 x + 2 y + 6 y + 3 x. Decide who is correct. Explain. Jose 7 x + 2 y + 6 y + 3 x Jose’s work 7 x + 3 x + 2 y + 6 y 10 x + 8 y 18 xy 7 x + 2 y + 6 y + 3 x = 18 xy 16 Amy 7 x + 2 y + 6 y + 3 x Amy’s work 7 x + 3 x + 2 y + 6 y 10 x + 8 y 7 x + 2 y + 6 y + 3 x = 10 x + 8 y
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