I wonder which polygons we can draw on dotty paper...
Take a look at the video showing squares drawn on dotty grids...
I wonder what we can find out about the areas of polygons drawn on dotty grids...
These diagrams show how you can use rods of lengths 3, 4 and 6 units to measure some lengths:
This set of three rods is special because you can measure all the whole number lengths from 1 to 7 units:
The diagrams above show how to make lengths of 1, 3, 5 and 7.
There are rods for 4 and 6. Can you see how to make 2?
Can you convince yourself you cannot make 8?
Can you find another set of three rods that can be used to measure all the lengths from 1 to 7? What about 1 to 8? 1 to 9? 1 to ...?
How far can you go?