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

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

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 #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

- 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

DirectionsExpression

- Choose a number
- Add 6
- Multiply by 3
- Subtract 10
- Multiply by 2
- Add 50
- Divide by 6

Boxes

Building & Simplifying Expressions

DirectionsExpression

- Choose a number
- Add 6
- Multiply by 3
- Subtract 10
- Multiply by 2
- Add 50
- Divide by 6

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

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

3(x + 5) – 14 = 19

Backtracking

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

Instructional Strategy

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?

Guess-Check-Generalize

Equation:

Story Problem #2

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

Guess-Check-Generalize

Equation:

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?

Guess-Check-Generalize

Equation:

Wrap-Up

- Summary
- Questions
- Evaluation Form

http://dmpshsmath.wikispaces.com

Thanks for all you do for Des Moines students!

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