A compound shape is a shape created using two or more basic shapes.

A composite shape is an alternative for a compound shape.

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

Area of compound shapes

Maths

Checking and securing understanding of converting between metric and imperial measures

Checking and securing understanding of scales and conversion

Checking and securing understanding of perimeter for compound shapes

Checking and securing understanding of area for compound shapes

Perimeter and area in a contextual setting

Calculating arc length

Area of a sector

Shapes within shapes

Equations from complex shapes

Shapes on coordinate grids

Problem solving with complex 2D shapes

In this unit, pupils built upon their prior learning of the area of different shapes. In the future unit, pupils will continue to further develop their understanding of shapes by considering surface area and volume of pyramids, spheres and cones.

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

In this unit, knowledge of circles and polygons is drawn upon to find the arc length and area of a circle sector and areas of complex compound shapes.

2D and 3D shape: compound shapes

To find the area of this compound shape, the most efficient method would be __________.

The area of this compound shape is {{ }} cm² to the nearest square centimetre.

The area of this compound shape is {{ }} cm² to 1 decimal place.

A rectangle is inscribed in a circle. Match each measurement to its value.

The area of the circle, to 1 decimal place, is {{}}cm².

A sector is the region formed between two radii and their connecting __________.

The area of this semicircle is __________.

The area of this shape is equal to {{ }} the area of a semicircle with the same diameter.

The area of this sector is {{ }}$$\pi$$ cm².

Starter Quiz

The area of this triangle is cm².