Area of a trapezium

Maths

Checking understanding of perimeter and area

Securing understanding of perimeter and area

Finding the perimeter of polygons

Calculating missing lengths with perimeter of polygons

Perimeter with composite rectilinear shapes

Area of a triangle

Using the formula for the area of a triangle

Area of composite rectilinear shapes

Calculating missing side lengths from the area of composite rectilinear shapes

Calculating missing side lengths from the area of a trapezium

Problem solving with perimeter and area

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

In this unit, pupils explored the relationship between perimeter and area. In particular, they considered whether a shape can have the same area and perimeter value

In this unit pupils investigate how to calculate the area and perimeter of rectilinear shapes, and composite shapes using rectangles and triangles. They will also derive simple area formulae.

Perimeter and area

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

Any trapezium can be made using a rectangle and a {{}}

True or false? The formula for the area of a trapezium has to be written as $${1\over2} \times (a + b) \times h$$

Calculate the area of the trapezium (you do not need to state the units).

The perpendicular height is the perpendicular {{}} from the base to the opposite vertex.

Calculate the area of a triangle with a base of 12 cm and a perpendicular height of 15 cm.

You can write a {{}} to calculate the area in an efficient way.

Calculate the area of this compound rectilinear shape (you do not need to state the units).

Area of a trapezium

Lesson outcome