1 / 28

Situation: Match Stick Stairs

Situation: Match Stick Stairs. By  (Cor) 2 an. A Square Match Stick Unit. Suppose a square match stick unit is defined to be a square with one match stick per side. A Track of Square Match Stick Units. A track of two square match stick units would look like this.

tyme
Télécharger la présentation

Situation: Match Stick Stairs

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Situation: Match Stick Stairs By (Cor)2an

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

  3. 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.

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

  5. What Problem Solving Strategies Can You Try? • Simplify the problem. • Make a table. • Look for a pattern. • Make a generalization. • Describe a function.

  6. Simplify the Problem • How many match sticks does it take to make 1 square? • How many match sticks does it take to make 2 squares? • How many match sticks does it take to make 3 squares? • How many match sticks does it take to make 4 squares?

  7. Make a Chart

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

  9. Make a Generalization

  10. Create a Function • f(n)=4+3(n-1) or f(n)=3n+1 where n represents the number of squares and f(n) represents the number of match sticks.

  11. Solution to Problem • It would take 1501 match sticks to create a track of 500 squares. f(n) = 3n+1  f(500) = 3x500+1 = 1501

  12. Steps in Investigating • Understanding. What is the investigation asking? • Strategies that lead to mathematical conjecture. How? • Generalisations. What I have discovered? • Justification. Prove it! • Communication. Tell the world.

  13. Situation • Stairs made with matches:

  14. Steps to follow: ONE • Understanding. What things could we consider? • Number of matches.Length of stair case.Height of stair case.Number of squares.Etc.

  15. Steps to follow: TWO • Explore and begin to develop strategy. • Let’s examine more closely links or patterns with numbers of matches.length of stair case,height of stair case,number of squares,Etc. • Conjecture ?

  16. Maybe Draw a Table:

  17. Look for patterns:

  18. Steps to follow: THREEConjecture/Generalisation

  19. Steps to follow: FOURJustify or Prove for all cases.

  20. Steps to follow: FOURJustify or Prove for all cases.

  21. Another Table:

  22. Look for patterns:

  23. Steps to follow: THREEConjecture/Generalisation

  24. Steps to follow: FOURJustify or Prove for all cases.

  25. Steps to follow: FOURJustify or Prove for all cases.

  26. 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.

  27. Steps to follow: FIVEWritten Report • Strategies explored. • Data representation. Tables, graphs, diagrams. • Generalisations and/or mathematical formulae. • Justification. • Logical, Neat, Clear & Concise.

More Related