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Order of Operations

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This presentation is based on CCSS.Math.Content.5.OA.A.1 Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.
CCSS.Math.Content.5.OA.A.2 Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation “add 8 and 7, then multiply by 2” as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product

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Order of Operations

  1. 1. Order of Operations Maureen Tront
  2. 2. Order of Operations ● CCSS.Math.Content.5.OA.A.1 Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols. ● CCSS.Math.Content.5.OA.A.2 Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation “add 8 and 7, then multiply by 2” as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product
  3. 3. I Can Use Algebra to Help Me Understand Math! I can use parentheses and brackets in expressions I can write expressions I hear using mathematical symbols and the order of operations
  4. 4. Tell me what you know about the Order of Operations
  5. 5. Can you solve the equation? 4+8÷2=
  6. 6. Did you get 6? or Did you get 8? Do the addition first 4+8 ÷ 2 12÷ 2 6 Do the division first 4+8÷2 4+4 8 Looks like we’ve gotten ourselves into a math pickle. Both of these answers can’t be right!
  7. 7. Good thing our dear Aunt Sally is here to help us out. “Don’t forget to use the order of operations!”
  8. 8. P arentheses ( ) E xponents 52 M ultiplication X D ivision ÷ A ddition + S ubtraction - In order to solve problems with more than one operation mathematicians came up with a rule called the order of operations. Whichever comes first from left to right! Whichever comes first from left to right!
  9. 9. 32 + 6 x (5+4) ÷ 3 - 7= Parentheses Exponents Multiplication Division Addition Subtraction
  10. 10. Now let’s practice PEMDAS! (8 + 7) ÷ 3 = 1. Parentheses (8+7) =15 2. There are no exponents 3. No multiplication 4. Divide 15 ÷ 3 = 5 5. No addition 6. No subtraction (8 + 7) ÷ 3 = 5
  11. 11. Now let’s practice PEMDAS! (2×3)2-7 = 1. Parentheses (2x3)=6 2. Exponents 62=36 3. No multiplication 4. No division 5. No addition 6. Subtraction 36-7=29 (2×3)2-7 = 29
  12. 12. Now let’s practice PEMDAS! 4x6-8÷4= 1. No Parentheses 2. No Exponents 3. Multiplication 4x6=24 4. Division 8÷4=2 5. No addition 6. Subtraction 24-2=22 4x6-8÷4=22
  13. 13. Are you ready for a tough one? 32 + 6 x (5+4) ÷ 3 - 7= Parentheses 32 + 6 x (5+4) ÷ 3 - 7= 32+6 x 9÷3-7= Exponents 32+6 x 9÷3-7= 9+6x9÷3-7 Multiplication 9+6x9÷3-7= 9+54÷3-7= Division 9+54÷3-7= 9+18-7= Addition 9+18-7= 27-7= Subtraction 27-7 20 32 + 6 x (5+4) ÷ 3 - 7=20
  14. 14. You’ve worked so hard! I think it’s time for some fun!
  15. 15. How do you feel about the Order of Operations now? I can use parentheses and brackets in expressions I can write expressions I hear using mathematical symbols and the order of operations
  16. 16. Check out these fun Order of Operations games! http://www.math-play.com/Order-of- Operations-Millionaire/order-of- operations-millionaire.html http://www.softschools.com/math/order_ of_operations/games/
  17. 17. Sources http://www.corestandards.org/ http://office.microsoft.com/en-us/images/ http://thirdgradedoodles.blogspot.com/ http://www.youtube.com/ http://icedteawithlemon.files.wordpress.com/2011/01/old-woman1.jpg http://www.math-play.com/ http://www.softschools.com/

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