Order of Operations
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Transcript

  • 1. Order of Operations
  • 2. Engage Solve the following• 4( 11 - 3² ) ÷ 2 - 2 ∙ 6• Once you have your answer find it around the room and stand by your answer
  • 3. What happened?This is why the Order of Operations had to be created. It is a set of rules that has been agreed upon. It is not “mathematical fact”.It is just an agreed upon math procedure in order to ensure consistency in answers.
  • 4. Let’s Talk• What order do we solve problems in?• Does this order matter?• Are there problems that you could do a different order and still get the right answer? Will it always work?
  • 5. Explore Let’s Practice• Take your worksheet to another student and agree on a problem to work• Trade worksheets and work the problem on THEIR worksheet• Sign the problem when you finish and agree on the answer• Continue until all questions are answered• Return to your seat when finished
  • 6. Explain Let’s Forget Poor Aunt Sally!and try a new way of thinking of order of operations 2nd Pitchers 3rd Mound 1st HOME BASE
  • 7. Let’s think of Order of Ops more like baseball Multiplication/Division on second 2nd “first come first serve”Addition/Subtraction third “first come, first Exponents are on serve” first base 3rd Equation 1st HOME We always have Grouping Symbols starting on home plate Plate
  • 8. Order of Operations1. Parentheses (Grouping Symbols) ( ) [ ] { }2. Exponents 43 = 4  4  4 = 643. Multiplication or Division (from left to right) “First Come, First Serve”4. Addition or Subtraction (from left to right) “First Come, First Serve”
  • 9. •Parentheses Example•Exponents•Multiply/Divide•Add/Subtract 9÷3 + (4²+2) + 3 × 5 9÷3 + (16+2) + 3 × 5 9÷3 + (18) + 3 × 5 3 + (18) + 3 × 5 3 + (18) + 15 21 + 15 =36
  • 10. Grammar of mathematics• The drama club sponsor will provide 320 chairs and the choir director will provide 280 chairs. The audience will be divided into 4 sections. Write an expression to calculate how many chairs will be placed into each section.• (320 +280) ÷ 4• 320 +280 ÷ 4 are these the same???• No way!! Why?