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**Scheme of work: GCSE Higher: Year 9: Term 1: Area of 2D Shapes**

- Know and apply formulae to calculate the area of rectangles.
- Calculate the perimeters of 2D shapes, including composite shapes;
- 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)
- Identify and apply circle definitions and properties, including: centre, radius, chord, diameter, circumference, tangent, arc, sector and segment

- Know and apply formulae to calculate: the area of triangles, parallelograms and trapezia;
- Know the formulae: circumference of a circle = 2
*π*r =*π*d, area of a circle =*π*r^{2}; calculate: perimeters of 2D shapes, including circles; areas of circles and composite shapes; - Calculate arc lengths, angles and areas of sectors of circles

- 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.
- A sector is a fraction of 360° of the entire circle.

- Students often confuse area and perimeter.
- When calculating the area of a triangle or parallelogram students tend to use the slanted height rather than the correct perpendicular height.
- Arc length and area of a sector are often rounded incorrectly. Encourage students to evaluate as a multiple of pi and calculate the decimal at the end.

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Master GCSE Math: Get key SOH-CAH-TOA tips, solve triangles accurately, and tackle area tasks. Ideal for students targeting grades 4-5.

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