Area of 2D and 3D Shapes

December 9, 2016

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 prerequisite topic for Circles, Cylinders and Circular Shapes.

Area of 2D and 3D Shapes Lessons
Shape: Interactive Lessons
Surface Area of Prisms
4 Part Lesson
Surface Area of Prisms
How to calculate the total surface area of a prism.
Shape: Interactive Lessons
Surface Area of Cubes and Cuboids
4 Part Lesson
Surface Area of Cubes and Cuboids
How to calculate the surface area of cubes and cuboids.
Shape: Interactive Lessons
Composite Area of 2D Shapes
4 Part Lesson
Composite Area of 2D Shapes
How to find the composite area involving various 2D shapes.
Shape: Interactive Lessons
Area of Triangles and Composite Shapes
4 Part Lesson
Area of Triangles and Composite Shapes
How to calculate the area of composite shapes made up of triangles and rectangles.
Additional Resources
Shape: Interactive Lessons
Surface Area of Cuboids
Extended Learning
Surface Area of Cuboids
Additional practice working out the surface area of cuboids.
Shape: Interactive Lessons
Problem Solving - Perimeter and Area
Problem Solving
Perimeter and Area
Students are challenged to solve problems involving perimeter and area of rectangles and triangles.
Shape: Interactive Lessons
Revising Area of 2D Shapes
Revision
Area of 2D Shapes
Students revise how to calculate the area of rectangles, triangles, parallelograms and trapezia.
Shape: Interactive Lessons
Revising Volume and Surface Area of Cuboids
Revision
Volume and Surface Area of Cuboids
Students revise how to find the surface area and volume of cuboids.
Shape: Interactive Lessons
Revising Area of Triangular Shapes
Revision
Area of Triangular Shapes
Students revise how to calculate the area of triangles and triangular shapes.
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: 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.

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