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!)

# Maths lessons

# Introduction to Trigonometry

Maths lessonsWith 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

# Area and Unit Conversions

Maths lessons, ResourcesIntroductory lesson perhaps to discussing area – a ‘madeover’ task by Dan Meyer and friends. Gets students estimating areas and then later doing the calculation. Unit conversions also required between feet and metres (depending on measurements used)

# Linear Equations

Maths lessons, ResourcesHaven’t used this particular resource yet but came across it through twitter. Seems to have a good series of activities (including desmos) to help understand graphing linear equations.

# Ratios – an introduction

Maths lessons, ResourcesThanks to Twitter (Nathan Kraft?) I came across this video to use as part of an introduction to ratios. Nice bit of humour/relationship insight thrown in for good measure 🙂