For an n-pointed star (like a pentagram), each point will have an angle of 180/n. Younger years - can you draw some stars? How many points should you choose? Older years - can you prove it?

I wrote this selection of problems on straight line graphs a few years ago. My year 9s enjoyed them this afternoon, so I thought I'd post it. They had to think about different relationships and properties of the graphs to solve the problems.

@Whitehughes Tom Bowler WBarrassHemmens @EmporiumMaths I've been thinking about this in terms of transformations. For a shear, the line of shear would be a line of invariant points and all lines parallel to the line of shear would be invariant lines. For a reflection in a line, the line would be a line of invariant points and all...

I wrote this task for my year 9 class, as I thought they'd enjoy a bit of a puzzle. There are 8 equations/graphs that need to be put into 4 pairs so that each statement (in the 3rd picture) is true. It totally bombed, but I still think there is a good lesson in there somewhere!

I work in a school with a maths culture heavily based on notes, examples and methods. Are there any articles or papers discussing note taking in Mastery? I always want to teach for understanding and find that the two come into conflict. Thanks in advance NCETM White Rose Maths Secondary

I haven't posted any resources for a while, so thought I'd chuck up a few from this week. First up, I struggled to find translation problems with any depth or challenge for my year 7 class so have juts tweaked a classic problem.

Secondly; I wanted to look at recurring decimals in much more depth with my y8 class. We spent a could of lesson just doing arithmetic with recurring decimals (and enjoying the weirdness), before moving on to this activity.

Lastly; I wanted my 10s to have a really good feel for the circle theorems involving tangents, leading towards the alternate segment theorem. They enjoyed this and we had some nice discussions about circles, symmetry and lines.

I have some questions about direct instruction in maths but am not sure who to speak to. Can anyone point me in the right direction? I've read the EEF report and some articles/explainers but want to find out more. David Goodwin Robert Coe Adam Boxer

Mt 11s have just finished negative and fractional indices and I wanted some equations that required them to apply their understanding. The first 7 are linear with a sneaky quadratic at the end.