Pythagoras' theorem - applied to coordinate geometry problems

A complete lesson on the theme of using Pythagoras’ theorem to look at the distance between 2 points. A good way of combining revision of Pythagoras, surds and coordinates. Could also be used for a C1 class about to do coordinate geometry.

Activities included:

Starter:
Pupils estimate square roots and then see how close they were. Can get weirdly competitive.

Main:
Examples and worksheets with a progression of difficulty on the theme of distance between 2 points.
For the first worksheet, pupils must find the exact distance between 2 points marked on a grid.
For the second worksheet, pupils find the exact distance between 2 coordinates (without a grid).
For the third worksheet, pupils find a missing coordinate, given the exact distance.
There is also an extension worksheet, where pupils mark the possible position for a second point on a grid, given one point and the exact distance between the two points.
I always print these worksheets 2 per page, double sided, so without the extension this can be condensed to one page!

It may not sound thrilling, but this lesson has always worked really well, with the gentle progression in difficulty being enough to keep pupils challenged, without too much need for teacher input.

Printable worksheets and answers included.

Please review if you buy as any feedback is appreciated!