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Number Trick #1 Assume the identity of one of your students as you solve this.

Number Trick #1 Assume the identity of one of your students as you solve this. Choose a number Add 6 Multiply by 3 Subtract 10 Multiply by 2 Add 50 Divide by 6.

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Number Trick #1 Assume the identity of one of your students as you solve this.

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  1. Number Trick #1Assume the identity of one of your students as you solve this. • Choose a number • Add 6 • Multiply by 3 • Subtract 10 • Multiply by 2 • Add 50 • Divide by 6

  2. Connecting Middle School and High School Mathematics Instruction Through Common StrategiesLavon Goodrich and Joe SpiessMarch 23, 2011

  3. Purpose of Session

  4. Number Trick #1Assume the identity of one of your students as you solve this. • Choose a number • Add 6 • Multiply by 3 • Subtract 10 • Multiply by 2 • Add 50 • Divide by 6

  5. Number Trick #2 • Choose a number • Multiply by 3 • Subtract 4 • Multiply by 2 • Add 20 • Divide by 6 • Subtract your starting number What makes this trick different from the first trick?

  6. Building & Simplifying Expressions DirectionsExpression • Choose a number • Add 6 • Multiply by 3 • Subtract 10 • Multiply by 2 • Add 50 • Divide by 6

  7. Expansion Boxes

  8. Building & Simplifying Expressions DirectionsExpression • Choose a number • Add 6 • Multiply by 3 • Subtract 10 • Multiply by 2 • Add 50 • Divide by 6

  9. Building & Simplifying Expressions DirectionsExpression • Choose a number • Multiply by 3 • Subtract 4 • Multiply by 2 • Add 20 • Divide by 6 • Subtract your starting number

  10. Backtracking

  11. Backtracking • Three different ways to illustrate backtracking: • Working up method • Working down method • “Cloud” method 3(x + 5) – 14 = 19

  12. Backtracking -4(x/2 + 9) = -8

  13. Guess – Check – Generalize Instructional Strategy

  14. Story Problem #1 • Last summer, Sergio mowed lawns to earn money. He mowed 35 lawns per week and charged $6 per lawn, for a total of $210 per week. This summer, Sergio wants to earn an additional $150 per week. He will raise his price to $8 per lawn and find more customers. How many additional customers will Sergio need to find to reach his goal?

  15. Guess-Check-Generalize Equation:

  16. Story Problem #2 • In 36 years, Anna will be five times as old as she is today. How old is Anna?

  17. Guess-Check-Generalize Equation:

  18. Story Problem #3 • Vanessa works 32 hours per week at her job. Her boss offers her a full-time position (40 hours per week) and a $2.00-per-hour raise. She says, “This is great! Now, I’ll make $200.00 more per week!” What is Vanessa’s hourly wage before the raise?

  19. Guess-Check-Generalize Equation:

  20. Wrap-Up • Summary • Questions • Evaluation Form lavon.goodrich@dmps.k12.ia.us joseph.spiess@dmps.k12.ia.us http://dmpshsmath.wikispaces.com Thanks for all you do for Des Moines students!

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