# Area of 2D and 3D Shapes

Scheme of work: Key Stage 3: Year 8: Term 2: Area of 2D and 3D Shapes

#### Prerequisite Knowledge

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

#### Key Concepts

• 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.

#### 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: the perimeter and area of triangles, parallelograms, trapezia, the volume of cuboids (including cubes) and other prisms.
• Calculate and solve problems involving: perimeters of 2-D shapes and composite shapes.

## Area of 2D and 3D Shapes Resources

### Mr Mathematics Blog

#### Estimating Solutions by Rounding to a Significant Figure

Explore key concepts, FAQs, and applications of estimating solutions for Key Stage 3, GCSE and IGCSE mathematics.

#### Understanding Equivalent Fractions

Explore key concepts, FAQs, and applications of equivalent fractions in Key Stage 3 mathematics.

#### Transforming Graphs Using Function Notation

Guide for teaching how to transform graphs using function notation for A-Level mathematics.