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

A trapezium is a quadrilateral with exactly one pair of parallel opposite sides.

The plural of trapezium can be referred to as trapezia or trapeziums.

A composite rectilinear shape is a composite shape made from rectangles.

Checking understanding of area

Maths

Checking understanding of perimeter

Multiplicative relationships in circles

Circumference of a circle

Area 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

The area of the rectangle is {{ }} units$$^2$$.

The area of the parallelogram is {{ }} units$$^2$$.

The area of the triangle is {{ }} units$$^2$$.

A {{ }} is a quadrilateral with exactly one pair of parallel opposite sides. 

$${1}\over{2}$$ $$\times (5 + 6) \times 7$$

$${1}\over{2}$$ $$\times (5 + 7) \times 6$$

$${1}\over{2}$$ $$\times (6 + 7) \times 5$$

The formula $$A=$$ $${1}\over{2}$$ $$\times (a + b) \times h$$ can be used to calculate area of a trapezium. Which calculation is correct for finding the area of the trapezium?

This compound shape is made from a rectangle and a triangle. Its area is {{ }} units$$^2$$.

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

Which of these units are a measure of area?

The area of the rectangle is {{ }} m$$^2$$.

Which line segments are perpendicular to each other?

For which shape can the area be calculated by doing $${1}\over{2}$$ $$\times$$ base $$\times$$ perpendicular height?

Select the rectangle with the largest area.

Checking understanding of area

Lesson outcome