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A Counting Problem

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Playing With Blocks

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Playing With Blocks

  • Make 9 blocks into a 3x3 square
  • What do you notice?
  • What do you wonder?

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Notice and Wonder

  • There are 8 straight lines through the 3x3 shape
  • How does this change if the shape changes?

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Add a Dimension

  • Make a 3x3x3 cube
  • How many straight lines formed from 3 cubes occur?
  • Count them

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Don’t Overcount!

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Keep Going

  • Make a 4x4x4 cube
  • How many straight lines of 4 cubes occur in this bigger cube?

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  • What about 5x5x5, 6x6x6

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Generalize

  • What happens with nxnxn cubes?
  • What tools do we use?

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Extend

  • What are other questions?
  • What about smaller line segments?
  • Redo the process

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Credits

Special thanks to all the people who made and released these awesome resources for free:

  • Presentation template by SlidesCarnival

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