flat (2D), closed figure made up of straight line segments

a shape created using two or more basic shapes

Checking understanding of perimeter

Maths

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 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

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

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

The circumference of a circle is the perimeter of the circle.

Multiplicative relationships in circles

Circumference of a circle

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

Area of a circle

Using the formula for the area of a circle

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

Area of composite shapes

An arc is part of a curve. When describing an arc of a circle, it is part of the circle's circumference.

Perimeter of composite shapes

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

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

Finding a length in composite shapes

the total area of all the surfaces of a closed 3D shape. The surfaces include all faces and any curved surfaces.

The net of a 3D object is a 2D representation of its surfaces that can be folded up into the 3D object.

Surface area of cuboids

A prism is a polyhedron with a base that is a polygon and a parallel opposite face that is identical.

A cross section is a 2D face made from cutting straight through any plane of a 3D object.

Properties of prisms

polyhedron with base and identical parallel opposite side with corresponding edges joined by parallelograms.

Faces are the flat 2D surfaces of a 3D shape.

The net of a 3D object is a 2D representation of its faces that can be folded up into the 3D object.

The surface area is the total area of all the surfaces of a closed 3D shape. The surfaces include all faces and any curved surfaces.

Surface area of prisms

a 3D shape with a base that is a circle and a parallel opposite face that is identical. Cross sections parallel to the base are uniform.

Surface area of cylinders

a 2D face made from cutting straight through any plane of a 3D object.

the amount of space occupied by a closed 3D shape.

Volume of prisms

a polyhedron with a base that is a polygon and a parallel opposite face that is identical joined by parallelograms.

any line segment that joins the centre of a circle to its circumference.

3D shape with a base that is a circle and a parallel opposite face that is identical and uniform cross-section.

Volume of cylinders

polyhedron with a base that is a polygon and identical parallel opposite face whose corresponding edges are joined by parallelograms.

3D shape with a circle base and an identical parallel opposite face. Cross sections made parallel to the base will be congruent to the base.

Perimeter, area and volume

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These lessons will be removed by end of Summer Term 2025.