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Exploring mathematics on dotty grids

In this feature, we invite you to explore mathematical ideas on dotty grids. We've offered you a few starting points which we hope will stimulate your curiosity and lead you to pose and solve interesting mathematical questions of your own.
Dotty Grids - Drawing Polygons link

Dotty Grids - Drawing Polygons live

Stage: 3 and 4

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

Dotty Grids - Exploring Area link

Dotty Grids - Exploring Area live

Stage: 3 and 4

I wonder what we can find out about the areas of polygons drawn on dotty grids...

Dotty Grids - Exploring Coordinates and Vectors link

Dotty Grids - Exploring Coordinates and Vectors live

Stage: 3 and 4

I wonder what we can find out when using coordinates and vectors on dotty grids...

Dotty Grids - Exploring Distance link

Dotty Grids - Exploring Distance live

Stage: 3 and 4

I wonder what we can find out about distances along grid lines...