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Splash Screen. Five-Minute Check CCSS Then/Now New Vocabulary Key Concept: Order of Operations Example 1: Evaluate Algebraic Expressions Example 2: Evaluate Algebraic Expressions Example 3: Real-World Example: Use a Formula. Lesson Menu. Content Standards

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  1. Splash Screen

  2. Five-Minute Check CCSS Then/Now New Vocabulary Key Concept: Order of Operations Example 1: Evaluate Algebraic Expressions Example 2: Evaluate Algebraic Expressions Example 3: Real-World Example: Use a Formula Lesson Menu

  3. Content Standards A.SSE.1.a Interpret parts of an expression, such as terms, factors, and coefficients. A.SSE.1.b Interpret complicated expressions by viewing one or more of their parts as a single entity. Mathematical Practices 1 Make sense of problems and persevere in solving them. CCSS

  4. You used the rules of exponents. • Use the order of operations to evaluate expressions. • Use formulas. Then/Now

  5. variables • algebraic expressions • order of operations • formula Vocabulary

  6. Concept

  7. Evaluate Algebraic Expressions Evaluate (x – y)3 + 3 if x = 1 and y = 4. (x – y)3 + 3 = (1 – 4)3 + 3 x = 1 and y = 4 = (–3)3 + 3 Subtract 4 from 1. = –27 + 3 Evaluate (–3)3. = –24 Add –27 and 3. Answer: –24 Example 1

  8. Evaluate f + g2 – 3g if f = 5 and g = 2. A. 3 B. 4 C. 6 D. –3 Example 1

  9. Evaluate Algebraic Expressions A.Evaluate n – t(n2 – t) if n = 2 and t = 3.4. n – t(n2 – t) = 2 – 3.4(22 – 3.4) n = 2 and t = 3.4 = 2 – 3.4(4 – 3.4) Evaluate 22. = 2 – 3.4(0.6) Subtract 3.4 from 4. = 2 – 2.04 Multiply 3.4 and 0.6. = –0.04 Subtract 2.04 from 2. Answer: –0.04 Example 2

  10. Evaluate Algebraic Expressions B. x = 5, y = –2, and z = –1 Evaluate the numerator and the denominator separately. Multiply in the numerator. Simplify the numerator and the denominator. Then simplify the fraction. Answer: –9 Example 2

  11. A. Evaluate a + b2(a – b) if a = 4 and b = –2. A. 0 B. 12 C. 24 • 28 Example 2a

  12. B. A. –1 B. –3 C. 3 • 4 Example 2b

  13. Use a Formula Example 3

  14. Use a Formula Answer: The area of the trapezoid is 152 square meters. Example 3

  15. A. 450 cm3 B. 75 cm3 C. 50 cm3 D. 10 cm3 Example 3

  16. End of the Lesson

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