In this unit of work we are going to look at circles.
Before commencing the unit learners need to be confident with the concept of perimeter as a distance around a shape and area as the amount of space inside the boundary of a flat, 2-dimensional object such as a circle and they also need to understand the concept of units in terms of measurements of distance and squared units to represent area.
We will start by consolidating learners' ability to use the vocabulary of circles and go on to explore formula for circle circumference and area. We will then introduce the formula for the arc length and area of the sector before carrying out calculations involving these elements of a circle.
The first two lessons in this unit of work focus on securing a strong conceptual understanding of the perimeter and area of a circle. The unit then goes on to secure learners' understanding of arc length and area of the sector as part of the circumference and area of a whole circle.
At the extended tier, learners can combine their understanding from this series of lessons with their knowledge from other areas of mathematics to solve more complex problems involving circles.
This unit of work is just one of the several approaches that you could take when teaching this topic and you should aim to adapt the resources to match the ability and level of your learners, as well as your school context.