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Warm UP

Warm UP. Write a verbal expression for, “4n 2 – 2(n+3)”. August 27, 2009. 1-2 Order of Operations. Objective: Evaluate numerical expressions by using the order of operations. Solve: 6 + 3 x 8 – 5. Problem: Ms. Falvo needs lunch Solution: Make a PPJ!.

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Warm UP

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  1. Warm UP Write a verbal expression for, “4n2 – 2(n+3)”

  2. August 27, 2009 1-2 Order of Operations Objective: Evaluate numerical expressions by using the order of operations.

  3. Solve: 6 + 3 x 8 – 5

  4. Problem: Ms. Falvo needs lunchSolution: Make a PPJ!

  5. Examples in real life that need a step by step order • Baking a cake • Taking a shower • Cooking • Making kool aid

  6. PEMDAS P lease E xcuse M y D ear A unt S ally

  7. Order of Operations1. Evaluate expressions inside grouping symbols. ( ) { } [ ]2. Evaluate all powers.3. Do all multiplications and/or divisions from LEFT to RIGHT.4. Do all additions and/or subtractions from LEFT to RIGHT.

  8. Grouping symbols such as parentheses ( ), brackets [ ], and braces { } are used to clarify or change the order of operations.

  9. Examples: Simplify 1. 4 + 32 2. 4 + (5 + 1)2

  10. 3. 4 + [–1(–2 – 2)]2 4. 4( –2/3 + 4/3 )

  11. 5. 4 – 3[4 –2(6 – 3)] ÷ 2 6. 16 – 3(8 – 3)2 ÷ 5

  12. A fraction bar is another type of grouping symbol. Perform all calculations above and below the fraction bar before dividing the numerator by the denominator.

  13. Examples: Simplify 1.

  14. 2. 3.

  15. Algebraic expressions can be evaluated when the values of the variables are known 1. Replace the variables with their values. 2. Find the value of the expression using the order of operations.

  16. Examples: Simplify 1. 2x + 4y if x = 3 and y = 10

  17. 2. – {2x – [3 – (4 – 3x)] + 6x} if x = 2 3. 14a + 5b[6 – (2c + 3)] if a = 1, b = 4, c = 3

  18. Get with a partner! It’s your turn to create a mnemonic for the Order of Operations!! PEMDAS! 

  19. Workbook – p. 4 down 1st column

  20. Fill in the blanks with the correct symbol to make each equation true. Use +, -, x, / and parentheses. • 4 ___ 4 ___ 4 ___ 4 = 1 • 4 ___ 4 ___ 4 ___ 4 = 2 • 4 ___ 4 ___ 4 ___ 4 = 3 • 4 ___ 4 ___ 4 ___ 4 = 4

  21. Homework – pg. 13: 22-28 even, 29-34

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