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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


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


Purpose of session

Purpose of Session Instruction Through Common Strategies


Number trick 1 assume the identity of one of your students as you solve this1
Number Trick #1 Instruction Through Common StrategiesAssume 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 Instruction Through Common Strategies

  • 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 Instruction Through Common Strategies

DirectionsExpression

  • Choose a number

  • Add 6

  • Multiply by 3

  • Subtract 10

  • Multiply by 2

  • Add 50

  • Divide by 6


Expansion Instruction Through Common Strategies

Boxes


Building simplifying expressions1
Building & Simplifying Expressions Instruction Through Common Strategies

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 Instruction Through Common Strategies

DirectionsExpression

  • Choose a number

  • Multiply by 3

  • Subtract 4

  • Multiply by 2

  • Add 20

  • Divide by 6

  • Subtract your

    starting number


Backtracking Instruction Through Common Strategies


Backtracking
Backtracking Instruction Through Common Strategies

  • Three different ways to illustrate backtracking:

    • Working up method

    • Working down method

    • “Cloud” method

      3(x + 5) – 14 = 19


Backtracking1
Backtracking Instruction Through Common Strategies

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


Guess – Check – Generalize Instruction Through Common Strategies

Instructional Strategy


Story problem 1
Story Problem #1 Instruction Through Common Strategies

  • 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?


Guess check generalize
Guess-Check-Generalize Instruction Through Common Strategies

Equation:


Story problem 2
Story Problem #2 Instruction Through Common Strategies

  • In 36 years, Anna will be five times as old as she is today. How old is Anna?


Guess check generalize1
Guess-Check-Generalize Instruction Through Common Strategies

Equation:


Story problem 3
Story Problem #3 Instruction Through Common Strategies

  • 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?


Guess check generalize2
Guess-Check-Generalize Instruction Through Common Strategies

Equation:


Wrap up
Wrap-Up Instruction Through Common Strategies

  • 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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