2. If x = 3, then what is the. 1. If x = 4, then what is the value of x 2? We will evaluate 1 expressions by using the order of operations.

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1 Learning Objective We will evaluate 1 expressions by using the order of operations. Name: February 18, 2014 Per: Common Core 7.AF1.2 Activate Prior Knowledge CFU Substitution means to replace a variable with a number. Evaluate each expression below using substitution. 1. If x = 4, then what is the value of x 2? What are we going to learn? What does evaluate mean? Evaluate means. 2. If x = 3, then what is the value of x 2? Make Connection Students, you already know how to substitute a number for a variable. Now, we are going to use substitution to evaluate expressions using the order of operations. Vocabulary 1 simplify

2 Concept Development To evaluate an expression, substitute the given value of the variable 2 and then perform the order of operations until no more operations can be performed. If x = 4, then 5 + (x - 2) 2 7 Order Operation Example A 1 st (Parentheses) or [brackets] 5 + (4-2) nd Exponents rd 4 th Multiplication or Division Other Examples If both operations are present, work left to right. Addition or Subtraction Final Value 33 If both operations are present, work left to right. CFU For the problem: 6 (5 7) which operation would you perform first? How do you know? A 6 5 B 5 7 C 7² For the problem: which operation would you perform first? How do you know? A B 7 6 C In your own words, what does the order of operations show us? The order of operations shows us. Vocabulary 2 letter that represents an unknown amount

Skill Development/Guided Practice a Determine 3 which operation to perform first. Hint: Use PEMDAS. 3 Compute 4 the final value. 4 Interpret 5 your answer.

(Parentheses) or [brackets] Exponents Multiplication or Division (left to right) Addition or Subtraction (left to right) If x = 9, then If x = 6, then If x = -3

3 Skill Development/Guided Practice a Determine 3 which operation to perform first. Hint: Use PEMDAS. 3 Compute 4 the final value. 4 Interpret 5 your answer. The expression has a value of. (Parentheses) or [brackets] Exponents Multiplication or Division (left to right) Addition or Subtraction (left to right) If x = 9, then If x = 6, then If x = -3 and y = 4, If x = -2 and y = 5, (6x 21) + (11 + x) 2 (3x 10) + (3 + x) 2 then (2x 1) 2 + 3y then (3x 4) 2 + 6y CFU 2a 2b How did I/you determine which operation to perform first? How did I/you know to repeat the order of operations? Vocabulary 3 figure out 4 solve mathematically 5 explain (synonym)

4 Skill Closure Interpret your answer. The expression has a value of Evaluate: If x = 3, then (7x + 6) + 4x (Parentheses) or [brackets] Exponents Multiplication or Division (left to right) Addition or Subtraction (left to right) 2. Evaluate: If c = 8 and w = 2, then ( c + 6) 2 + 7w Constructed Response Closure Maria did not evaluate the expression below correctly. Her final value was 144. What did she do wrong? Explain. Summary Closure If x = 2 Maria s answer: 5 + ( ) (3x + 2) (3 4) Summary Closure What did you learn today about evaluating expressions by using order of operations? (Pair-Share) Day 1 Day 2

5 Independent Practice 1 Name Interpret your answer. The expression has a value of. 4 (Parentheses) or [brackets] Exponents Multiplication or Division (left to right) Addition or Subtraction (left to right) If b = 5, then (b 2 + 7) + (b + 6) 2 If g = 8, then (7g - 44) 2 + (g) 2 If x = 2 and y = 6, then (-3x 1) y If a = -1 and c = 7, then (5a + 4) 2 + 6c

6 Independent Practice 2 Name 4 Interpret your answer. The expression has a value of. If v = -2, then 3v 2 + (v + 7) 2 If k = -4, then (-5k + -18) 2 + -(6 + k) 2 If j = 6 and x = 8, then (-2j + 9) x If q = 6 and w = -3, then (2q + -18) w

7 Independent Practice 3 Name 4 Interpret your answer. The expression has a value of. If d = -4, then 5d 2 (d + 12) 2 If n = 3, then (-9n + 20) 2 + -(-2 + n) 3 If x = -3 and y = 10, then (-6x + -12) y If p = 12 and z = -8, then p p + -5z

8 Independent Practice 4 Name 4 Interpret your answer. The expression has a value of. If x = 5, then -2x 2 + (x + 1) 2 If a = -3, then (-4a + -7) 2 + -(5 + a) 3 If x = -5 and y = -6, then (-2x + -13) 2 + 5y If b = -2 and c = -3, then b 2 + b c 2

A unit rate shows the relationship between a quantity and one unit of another quantity.

Learning Objective We will compute unit rates. CFU What are we going to do? What does compute mean? Compute means. Vocabular y calculate Activate Prior Knowledge A unit rate shows the relationship between