Complex Numbers and Transformation Geometry - February 2007, Stage 1&2

Problems

Turning Man

Stage: 1 Challenge Level:

Use the interactivity to find out how many quarter turns the man must rotate through to look like each of the pictures.

Rearrange the Square

Stage: 1 Challenge Level:

We can cut a small triangle off the corner of a square and then fit the two pieces together. Can you work out how these shapes are made from the two pieces?

2 Rings

Stage: 1 Challenge Level:

The red ring is inside the blue ring in this picture. Can you rearrange the rings in different ways? Perhaps you can overlap them or put one outside another?

Tricky Triangles

Stage: 1 Challenge Level:

Use the three triangles to fill these outline shapes. Perhaps you can create some of your own shapes for a friend to fill?

Twice as Big?

Stage: 2 Challenge Level:

Investigate how the four L-shapes fit together to make an enlarged L-shape. You could explore this idea with other shapes too.

Tessellating Transformations

Stage: 2 Challenge Level:

Can you find out how the 6-triangle shape is transformed in these tessellations? Will the tessellations go on for ever? Why or why not?

Peg Rotation

Stage: 2 Challenge Level:

Can you work out what kind of rotation produced this pattern of pegs in our pegboard?