this month, Stage 3 & 4

July 2003

 

Problems

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Reflecting Squarely

Stage:3 Challenge Level:Challenge Level:1

In how many ways can you fit all three pieces together to make shapes with line symmetry?

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Threesomes

Stage:3 Challenge Level:Challenge Level:1

Imagine an infinitely large sheet of square dotty paper on which you can draw triangles of any size you wish (providing each vertex is on a dot). What areas is it/is it not possible to draw?

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Bow Tie

Stage:3 Challenge Level:Challenge Level:2Challenge Level:2

Show how this pentagonal tile can be used to tile the plane and describe the transformations which map this pentagon to its images in the tiling.

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Excel Investigation: Planks

Stage:3 and 4 Challenge Level:Challenge Level:2Challenge Level:2

I have an unlimited supply of planks, of lengths 7 and 9 units. Putting planks end to end, what total lengths can be achieved? Use Excel to investigate.

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Excel Interactive Resource: the up and Down Game

Stage:3 and 4 Challenge Level:Challenge Level:2Challenge Level:2

Use an interactive Excel spreadsheet to explore number in this exciting game!

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Stringing it Out

Stage:4 Challenge Level:Challenge Level:1

Explore the transformations and comment on what you find.