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Order of Operations
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Objective & Essential Question Common Core Objective: 6.EE.1 Student Friendly Terms: Students will be able to perform basic five and six step order of operations problems with 80% accuracy. Essential Question: Why is order important in math?
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Definition The order in which mathematicians perform math problems. a)Parenthesis – Working Inward Outward b)Exponents c)Multiply or Divide – Left to Right d)Add or Subtract – Left to Right
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Mnemonic P lease Parenthesis E xcuse Exponents M y D ear Multiply or Divide – Left to Right A unt S ally Add or Subtract – Left to Right
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Example 1: 2 x 3 - (4-2) + 3 2 Multiplication Parenthesis Subtraction Addition Exponents
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2 x 3 - (4-2) + 3 2 2 x 3 - 2 + 3 2 Parenthesis Exponents 6 - 2 + 9 Multiply 2 x 3 - 2 + 9 Add or Subtract – Left to Right 4 + 9 13
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Example 2: 4 X 6 – (3 + 4) + 2 2 Multiplication Parenthesis Subtraction Addition Exponents
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4 X 6 – (3 + 4) + 2 2 4 x 6 - 7 + 2 2 Parenthesis Exponents 24 – 7 + 4 Multiply 4 X 6 – 7 + 4 Add or Subtract – Left to Right 17 + 4 21
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Practice Problems 1.3 + 5 x 7 2.(1 + 3) x (8 - 4) 3.6 - 6 + (7 - 0) - 7 4.4 - 3 + (5 - 1) - 3 5.3 + 9 x 8 – 6 2 6.24 / 6 x 2 x 2 / 4 7.2+3 x (4+(6 x 3-8)) x2 Answer
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Resources Math Goodies http://www.mathgoodies.com/lessons/vol7/order_operations.h tml http://www.mathgoodies.com/lessons/vol7/order_operations.h tml Amby.com http://amby.com/educate/ord-op/ The World of Math Online http://www.math.com/school/subject2/lessons/S2U1L2GL.htm l http://www.math.com/school/subject2/lessons/S2U1L2GL.htm l Fun Brain http://www.funbrain.com/algebra/index.html Dositey – Mystery Game http://www.dositey.com/math/m/mystery2SMA.htm Aplus Math – Flash Cards http://www.aplusmath.com/cgi- bin/Flashcards/Order_Of_Operations http://www.aplusmath.com/cgi- bin/Flashcards/Order_Of_Operations AAA Math.com http://www.aaamath.com/pro73c-order-of-operations.html
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3 + 5 x 7 3 + 35 38 Back
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(1 + 3) x (8 - 4) 4 x (8 – 4) 4 x 4 16 Back
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6 - 6 + (7 - 0) – 7 6 – 6 + 7 - 7 0 + 7 – 7 7 – 7 0 Back
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4 - 3 + (5 - 1) – 3 4 – 3 + 4 -3 1 + 4 – 3 5 – 3 2 Back
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3 + 9 x 8 – 6 2 3 + 9 X 8 – 36 3 + 72 – 36 75 – 36 39 Back
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24 / 6 x 2 x 2 / 4 4 x 2 x 2 8 x 2 16 Back
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2+3 x (4+(6 x 3-8)) x2 2 + 3 x (4 + (18 – 8)) x 2 2 + 3 x (4 + 10) x 2 2 + 3 x 14 x 2 2 + 42 x 2 2 + 84 86 Back
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