Complex Numbers and Transformation Geometry - February 2007, Stage 3&4

Problems

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Mirror, Mirror...

Stage: 3 Challenge Level: Challenge Level:1

Explore the effect of reflecting in two parallel mirror lines.

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...on the Wall

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

Explore the effect of reflecting in two intersecting mirror lines.

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Who Is the Fairest of Them All?

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

Explore the effect of combining enlargements.

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Arrow Arithmetic 1

Stage: 4 Challenge Level: Challenge Level:1

The first part of an investigation into how to represent numbers using geometric transformations that ultimately leads us to discover numbers not on the number line.

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Arrow Arithmetic 2

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

Introduces the idea of a twizzle to represent number and asks how one can use this representation to add and subtract geometrically.

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Arrow Arithmetic 3

Stage: 4 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

How can you use twizzles to multiply and divide?