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Students learn how to calculate the area of triangles, parallelograms and trapeziums. They use this knowledge to later find the total surface of cuboids and prisms.

This topic takes place in Term 2 of Year 8 and is the prerequite topic for Circles, Cylinders and Circular Shapes.

- 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.

- The area of a triangle is the product of its perpendicular height and base divided by two. Students often forget to divide by two.
- To find the area of a composite shapes students should break it down into its individual components.
- When identifying individual components of a composite shape students tend to look for triangles and rectangles rather than trapezia and parallelograms.
- To find the surface of a cube or cuboid students could draw the net and work out the composite area.
- More able students could derive the formula for the surface are of a cuboid.

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.

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.

July 6, 2019

Earlier this week, my school took part in a trial OFSTED inspection as part of getting ready for the new inspection framework in September 2019. This involved three Lead Inspectors visiting our school over the course of two days. The first day involved a ‘deep dive’ by each of the Lead Inspectors into Mathematics, English […]

June 30, 2019

The method of how to solve quadratics by factorising is now part of the foundational knowledge students aiming for higher exam grades are expected to have. Here is an example of such a question. Solve x2 + 7x – 18 = 0 In my experience of teaching and marking exam papers students often struggle with […]

June 24, 2019

When learning how to write 3-part ratios students need to understand how ratios can be made equivalent. The start of the lesson reminds students by asking which of six ratios is the odd one out. This is presented to the class as they come into the lesson. Writing Equivalent Ratios A few students immediately go […]