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Exploring Diagonals

Move the corner of the rectangle. Can you work out what the purple number represents?

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Drawing Polygons

I wonder which polygons we can draw on dotty paper...

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Drawing Squares

Take a look at the video showing squares drawn on dotty grids...

Areas from Vectors

Stage: 3 and 4

Move the blue points below to change the vectors that define the parallelogram.
See how the area changes.

Explore how the area of the parallelogram changes as you change the vectors.

If you would like some ideas of interesting questions to explore, take a look below.

Is there a formula for the area of a parallelogram if I know the two vectors?

Why does the formula work?

What is the formula in the special case when the parallelogram is a square?

What is special about the areas of the rhombuses you can make?

Want to share what you've done? Got any interesting questions or ideas? 
Send us your thoughts.