1. Radian Measure
L.O.
All pupils understand why we have different types of measure
All pupils understand circle properties
All pupils understand why and when radian measure is used

2. Why do we measure things in feet? Why do we measure things in pints?
Starter:
different types of measure
Why do we measure things in feet?
Why do we measure things in pints?
Why are there 360 degrees in a full turn?

3. Starter: Why do we measure things in feet?
Why are there 60mins in one hour?
Why are there 360 degrees in a full turn?
We have invented meters as they are easier to work with
We have invented liters as they are easier to work with
We have invented another measure as it is easier to work with

4. Radian Measure
L.O.
All pupils understand why we have different types of measure
All pupils understand circle properties
All pupils understand why and when radian measure is used

5. What are the formulae for finding the:
Main 1:
understand circle properties
What are the formulae for finding the:
Circumference of a circle?
Arc length
Area of a circle?
Area of a sector?

6. understand circle properties
Main 1:
understand circle properties
Arc length
Area of a sector

7. These formulae are messy.
Main 1:
understand circle properties
These formulae are messy.
Mathematicians therefore sought a way to make measuring angles neater.

8. How could they be made simpler?
Main 1:
understand circle properties
How could they be made simpler?

9. understand circle properties
Main 1:
understand circle properties
If we were to create a unit of measure where there are 2∏ of them in a circle, these formulae would be much simpler.

10. So we made 2∏ radians in a circle.
Main 1:
understand circle properties
So we made 2∏ radians in a circle.

11. Radian Measure
L.O.
All pupils understand why we have different types of measure
All pupils understand circle properties
All pupils understand why and when radian measure is used

12. Find the arc length and the area of the sectors on the other board.
Main 2:
why and when radian measure is used
Find the arc length and the area of the sectors on the other board.

13. Radian Measure
L.O.
All pupils understand why we have different types of measure
All pupils understand circle properties
All pupils understand why and when radian measure is used