Perimeter and Area

March 11, 2023

Scheme of work: GCSE Foundation: Year 9: Term 4: Perimeter and Area

Prerequisite Knowledge

Choose and use appropriate standard units to estimate and measure length/height in any direction (m/cm); mass (kg/g); temperature (°C); capacity (litres/ml) to the nearest appropriate
unit, using rulers, scales, thermometers and measuring vessels
compare and order lengths, mass, volume/capacity and record the results using >, < and =
measure, compare, add and subtract: lengths (m/cm/mm); mass (kg/g); volume/capacity (l/ml)

Success Criteria

know and apply formulae to calculate:
rectangles
rectilinear composite shapes
area of triangles
parallelograms
trapezia
calculate the perimeters of 2D shapes, including composite shapes;

Key Concepts

Perimeter is a measure of length around the outside of a shape, whereas area is the space on a surface.
Students should be given the opportunity to derive formulae to calculate the area and perimeter of shapes.
Area is measured in square units.
Demonstrate a triangle as being half a rectangle so students know to use the perpendicular height in their calculation.
Demonstrate a parallelogram as having an equal area to a rectangle.
To calculate the area of composite rectilinear shapes have students break them up in different ways.

Common Misconceptions

Students often confuse area and perimeter.
Students can forget to include correct units when stating an area or perimeter.
When calculating the area of a triangle or parallelogram students tend to use the slanted height rather than the correct perpendicular height.

Perimeter and Area Resources

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