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

The perimeter is the distance around a 2D shape.

Problem solving with perimeter and area

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

Area of a trapezium

Calculating missing side lengths from the area of a trapezium

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

The perimeter of this shape is 82 cm. What is the area? (You do not need to state the units.)

The area of a given square is 144 cm$$^2$$. What is the perimeter?

A groundskeeper walks around the boarder of the park he looks after. How far does he walk?

Andeep is helping his family to lay a new carpet. How much carpet is needed to cover the floor of the room? (You do not need to state the units.)

Calculate the perimeter of the rectangle.

Calculate the area of the triangle (do not state the units, you can give your answer in either $$cm^2$$ or $$m^2$$).

Problem solving with perimeter and area

Lesson outcome