number trick 1 assume the identity of one of your students as you solve this
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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
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
slide2

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

number trick 1 assume the identity of one of your students as you solve this1
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
number trick 2
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?

building simplifying expressions
Building & Simplifying Expressions

DirectionsExpression

  • Choose a number
  • Add 6
  • Multiply by 3
  • Subtract 10
  • Multiply by 2
  • Add 50
  • Divide by 6
building simplifying expressions1
Building & Simplifying Expressions

DirectionsExpression

  • Choose a number
  • Add 6
  • Multiply by 3
  • Subtract 10
  • Multiply by 2
  • Add 50
  • Divide by 6
building simplifying expressions2
Building & Simplifying Expressions

DirectionsExpression

  • Choose a number
  • Multiply by 3
  • Subtract 4
  • Multiply by 2
  • Add 20
  • Divide by 6
  • Subtract your

starting number

backtracking
Backtracking
  • Three different ways to illustrate backtracking:
    • Working up method
    • Working down method
    • “Cloud” method

3(x + 5) – 14 = 19

backtracking1
Backtracking

-4(x/2 + 9) = -8

slide13

Guess – Check – Generalize

Instructional Strategy

story problem 1
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?
story problem 2
Story Problem #2
  • In 36 years, Anna will be five times as old as she is today. How old is Anna?
story problem 3
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?
wrap up
Wrap-Up
  • Summary
  • Questions
  • Evaluation Form

[email protected]

[email protected]

http://dmpshsmath.wikispaces.com

Thanks for all you do for Des Moines students!

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