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Nadine Dent

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Nadine Dent. Mathematics Investigation. Strips. Colour Pattern Possibilities. 5 squares in a strip, colouring in 1 square. 5 squares in a strip colouring in 2 squares. ... – PowerPoint PPT presentation

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Title: Nadine Dent


1
Nadine Dent
  • Mathematics Investigation
  • Strips

2
Colour Pattern Possibilities
  • 5 squares in a strip, colouring in 1 square.
  • 5 squares in a strip colouring in 2 squares.
  • 5 squares in a strip colouring in 3 squares.
  • 5 squares in a strip colouring in 4 squares.

3
Looking for a Visual Pattern
4
Different Length Strips
  • 2 Squares 2 combinations
  • 3 Squares 6 combinations
  • 4 Squares 14 combinations
  • 5 Squares 28 combinations

5
Looking for a Pattern
  • As the number of squares increase by 1 the number
    of colour combinations double and added 2
  • 2 squares 2 combinations
  • 3 squares 2x22 6 combinations
  • 4 squares 6x22 14 combinations
  • 5 squares 14x22 30 (we only found 28 )

6
Number of colour combinations
  • 2 Squares 2 combinations
  • 3 Squares 6 combinations
  • 4 Squares 14 combinations
  • 5 Squares 30 combinations
  • 6 Squares 62 combinations

7
Reflections
  • 48 reflecting pairs were found
  • 18 strips with no reflection
  • 3 squares 2 reflections 2 non reflections
  • 4 squares 6 reflections 2 non reflections
  • 5 squares 12 reflections 6 non reflections
  • 6 squares 27 reflections 8 non reflections

8
Colouring of Grids
  • 2x2 square grid
  • 3x3 square grid
  • 4x4 square grid

9
Number of grid colour combinations
  • 2x2 grid 2x2 4 combinations
  • 3x3 grid 3x3x3 27 combinations
  • 4x4 grid 4x4x4x4 256 combinations
  • Does this give valid answers?

10
Inclusion in E-Portfolio
  • Relevant to the Curriculum and Knowledge section
  • Mathematics investigations are part of school
    curriculum
  • Helped further my knowledge of mathematical
    application in primary schools and basic
    mathematical procedures
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