Measurement Starter Question

Maths lessons

During measurement topic, ask the students, how can a shape be both bigger AND smaller than another. For example, I used this doing perimeter and area of a semi-circle. I drew two diagrams on the board with particular dimensions where one with the smaller perimeter had a larger area. It would work with many different ones though and could be used for example to show how the largest area for a ‘rectangle’ is when the sides are the same (ie. a square). On this last one, there was a good site I came across for exploring this – complete with video and an image I turned into a worksheet (Perimeter v Area). Also later discovered this resource looking at which shapes have the greatest area (with links to further resources!)

Introduction to Trigonometry

Maths lessons

With many thanks to Dan Pearcy I stumbled across his introduction to trigonometry lesson. I ran it with my year 9 advanced class and I thought it was great! Love the moment when I started writing out all the ratios and the comments around the room on cue started: “surely we aren’t going to write all these out”, “we are going to run out of room sir” etc! Good fun and a great way to get into the ratios without just plonking SOH CAH TOA on the board!!

(Just in case anything happens to Dan’s page, I’ve included the files below that students need to measure/fill out to build ratios)introduction-to-trig (1) and similar triangles