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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


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

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


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

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


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

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


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

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

    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!