# Perimeter, Area, Volume

Scheme of work: Key Stage 3: Year 7: Term 3: Perimeter Area and Volume

#### Prerequisite Knowledge

• measure and calculate the perimeter of composite rectilinear shapes in centimetres and metres
• calculate and compare the area of rectangles (including squares), and including using standard units, square centimetres (cm2) and square metres (m2) and estimate the area of irregular shapes
• estimate volume [for example, using 1 cm3 blocks to build cuboids (including cubes)] and capacity [for example, using water]
• recognise that shapes with the same areas can have different perimeters and vice versa
• recognise when it is possible to use formulae for area and volume of shapes

#### Key Concepts

• The perimeter of a shape is the distance around the outside.  It is measured in units such as centimetres, millimetres, inches, feet, and metres.
• The area of a shape is a measure of how much space there is on the surface.  Area is measured in square units, written for example as cm2.
• To find the area of a composite shape it is easier to split the shapes into distinct rectangles and find the sum of each area.
• The area of a triangle can be found as half the area of a rectangle.
• The volume of a shape is the space contained inside it.  Volume is measured in cube units, written for example as cm3.

#### Working Mathematically

• Develop fluency
• Use language and properties precisely to analyse 2-D and 3-D shapes
• Reason mathematically
• Begin to reason deductively in geometry,
• Solve problems
• Select appropriate concepts, methods and techniques to apply to unfamiliar and non-routine problems.

#### Subject Content

• Shape
• Derive and apply formulae to calculate and solve problems involving: perimeter and area of triangles, parallelograms, trapezia, volume of cuboids (including cubes) and other prisms
• Calculate and solve problems involving: perimeters of 2-D shapes and composite shapes.

## Perimeter, Area, Volume Resources

### Mr Mathematics Blog

#### Regression, Correlation and Hypothesis Testing

A-Level Scheme of work: Edexcel A-Level Mathematics Year 2: Statistics: Regression, Correlation and Hypothesis Testing

#### 3D Vectors – Year 2

A-Level Scheme of work: Edexcel A-Level Mathematics Year 2: Pure 2: 3D Vectors

#### Parametric Equations

Edexcel A-Level Mathematics Year 2: Pure 2: Parametric Equations