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Match Stick Problems and Puzzles:

Match Stick Problems and Puzzles:. Connecting Geometry, Algebra, and Problem Solving By Patty George Cerritos College. Match Stick Triangles. Here is a triangle made of 3 match sticks. A track of two triangles looks like this. A track of three triangles looks like this. Problem 1.

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Match Stick Problems and Puzzles:

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  1. Match Stick Problems and Puzzles: Connecting Geometry, Algebra, and Problem Solving By Patty George Cerritos College

  2. Match Stick Triangles • Here is a triangle made of 3 match sticks. • A track of two triangles looks like this. • A track of three triangles looks like this.

  3. Problem 1 • How many match sticks would it take to make a track of 500 triangles?

  4. Look for a Pattern:Deconstruct the Information in the Chart

  5. Make a Generalization

  6. Solution to Problem 1 • You would need f(500)=3+2(499)=1001 match sticks to create a track of 500 triangles.

  7. A Square Match Stick Unit • Suppose a square match stick unit is defined to be a square with one match stick per side.

  8. A Track of Square Match Stick Units • A track of two square match stick units would look like this. • A track of three square match stick units would look like this.

  9. Problem 2 • How many match sticks would you need to create a track of 500 square match stick units?

  10. Make a Generalization

  11. Solution to Problem 2 • It would take 1501 match sticks to create a track of 500 squares.

  12. Problem 3 • How many match sticks would you need to make a track of 500 rectangles in which each rectangle is two match sticks long and one match stick wide? • Is there more than one answer?

  13. Problem 4 • How many match sticks would it take to make a 20 by 20 match stick square that is made from joining square match stick units? • Here is a 2 by 2 match stick square.

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