Area is the size of the surface and states the number of unit squares needed to completely cover that surface.

The radius of a circle is any line segment that joins the centre of a circle to its edge.

The diameter of a circle is any line segment that starts and ends on the edge of the circle and passes through the centre.

Area of a circle

Maths

Checking understanding of perimeter

Checking understanding of area

Multiplicative relationships in circles

Circumference of a circle

Using the formula for the area of a circle

Area of composite shapes

Perimeter of composite shapes

Finding a length in composite shapes

Surface area of cuboids

Properties of prisms

Surface area of prisms

Surface area of cylinders

Volume of prisms

Volume of cylinders

Problem solving with perimeter, area and volume

In this unit, pupils have derived the formula for the circumference and area of a circle. In the future unit, this knowledge is combined with knowledge of fractions to find the arc length and area of a sector.

 In the prior unit, pupils learnt how to derive and use the formula for the area of a triangle and trapezium. In this unit, this knowledge is called upon to find the volume of different prisms and area of composite shapes.

In this unit pupils extend their knowledge of shapes by exploring the properties of circles and composite shapes before developing understanding of 3-D shapes including surface area and volume.

Perimeter, area and volume

Which is a correct formula for calculating the area of a circle?

The area of the circle is equal to the area of the parallelogram. The circumference of the circle is 12$$\pi$$ cm. The base of the parallelogram is {{ }}.

The area of the square is 10 cm. The area of the circle is {{ }}.

A circle has radius 6 cm. What is the area of the circle?

Which circle has an area of 9$$\pi$$ cm$$^2$$?

The area of the circle is {{ }}$$\pi$$ cm$$^2$$.

The {{ }} is any line segment that joins the centre of a circle to its edge.

Which of the following formulae calculates the circumference of a circle, when the radius is known?

Which two calculations could be used to find the area of the parallelogram?

The first four digits of $$\pi$$ are {{}}.

Select the parallelogram with the smallest area.

Area of a circle

Lesson outcome