Radians - Angle Chase #1

Students first see angles around Year 2 and work in degrees all the way up to Year 13, where they encounter Radians. That's a decade of practice in one unit of measurement (or two units if you count revolutions) and only a few months of practice working in Radians.

When teaching this topic, I like to give students this task, which is an angle chase worksheet measured in radians. That is, a diagram where students continue to find angles using angle facts and previously found angles.

I enforce the added restrictions that students:

• must talk to their peers using mathematical terminology as they progress through the diagram;
• must not mention degrees at any point.

It's amazing to see how much thought students give when thinking of the radian equivalent to "co-interior angles add up to 180 degrees". They are, after all, overcoming a decade-old well engrained habit.

The worksheet is to scale so that students begin to familiarise the radian measures and the size of angles. This could be a nice preliminary activity:

 And, although not used in the worksheet, these could be discussed too: