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Problem solving with complex 2D shapes

Maths•Key Stage 4•2D and 3D shape: compound shapes

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Lesson Description

I can use my understanding of 2D shapes to solve problems.

Lesson Overview

Key learning points

  • When problem solving, consider whether any elements are familiar from other areas of maths.
  • Keep the goal in mind, it is easy to get distracted by too much information.
  • The size of a sector of a pie chart can be scaled to reflect the population size.

Keywords

Area
The area is the size of the surface and states the number of unit squares needed to completely cover that surface.
Compound shape
A compound shape is a shape created using two or more basic shapes.
Composite shape
A composite shape is an alternative for a compound shape.
Pie chart
A pie chart (pie graph) is a circular graph where sectors represent different groups proportionally.

Common mistakes

  • For the problems with squares inscribed inside circles, pupils may think that the length of the square is equal to the diameter of the circle.

    This would be the case if the circle was inscribed inside a square. But when the square is inscribed inside a circle, the diagonal length of the square is equal to the diameter of the circle.

Lesson Video

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