1 / 20

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.

kyran
Download Presentation

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

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  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!

More Related