Introduction to perimeter and area (8300 - Foundation - Geometry and measures)

Topic:Introduction to perimeter and area

Specification references (in recommended teaching order)

Specification content Specification notes
G12
  • Identify properties of the faces, surfaces, edges and vertices of: cubes, cuboids, prisms, cylinders, pyramids, cones and spheres


G17
  • Calculate the perimeter of a 2D shape and composite shapes
  • Calculate the area of composite shapes


    G16
    • Know and apply formulae to calculate area of:
      • triangles
      • parallelograms
      • trapezia



      The subject content (above) matches that set out in the Department for Education’s Mathematics GCSE subject content and assessment objectives document.

      The expectation is that:

      • All students will develop confidence and competence with the content identified by standard type
      • All students will be assessed on the content identified by the standard and the underlined type; more highly attaining students will develop confidence and competence with all of this content
      • Only the more highly attaining students will be assessed on the content identified by bold type. The highest attaining students will develop confidence and competence with the bold content.

      Teaching resources

      Perimeter and Area
      A straightforward lesson plan and associated resources which introduces the idea of finding perimeter and area of rectangles and composite rectangles. 17/06/2015

      Area and Perimeter
      An activity in which students investigate the link between area and perimeter of shapes drawn on cm squared paper. 17/06/2015
      Area and Perimeter
      Calculating the areas of rectangles and triangles activity 02/03/2015
      Area and Perimeter
      Area of a parallelogram and trapezium overview02/03/2015
      Area and perimeter follow me cards
      A nice starter or plenary activity involving finding the area and perimeter of simple shapes. You will need to register for a TES account to access this resource, this is free of charge. 17/06/2015
      Area of Flags
      A set of three powerpoints and associated worksheets practising finding the area of triangles, parallelograms and trapezia in the context of flags of the world. You will need to register for a TES account to access this resource, this is free of charge. 17/06/2015
      Area of triangle and parallelogram cut and stick
      A practical activity which demonstrates how the formulae for the area of a parallelogram and triangle are deduced. You will need to register for a TES account to access this resource, this is free of charge. 17/06/2015
      Faces, Edges and Vertices
      A powerpoint and associated worksheet which allows students to find the number of vertices, edges and faces for a range of named solids before 'discovering' Euler's Formula. You will need to register for a TES account to access this resource, this is free of charge. 17/06/2015
      Oblongs
      A problem solving starter or plenary activity in which students must calculate the side length of rectangles given the area and the perimeter. 17/06/2015
      Perimeter and Area
      A straightforward lesson plan and associated resources which introduces the idea of finding perimeter and area of rectangles and composite rectangles. 17/06/2015
      Stair Perimeter
      A starter activity in which students find the perimeter of a 'staircase' shape based on the information provided. 17/06/2015
      Step Perimeter
      A starter activity in which students find the perimeter of a 'staircase' shape based on the information provided. 17/06/2015
      Surface Area
      An online exercise in which students must find the surface area of solids, initially made from cm cubes and increasing in difficulty. Level 2 offers some challenging questions for more able students (omit questions involving circles or spheres). 17/06/2015
      Surface area dominoes
      Students make a loop of cards, solving problems to find the surface area of prisms. You will need to register for a TES account to access this resource, this is free of charge. 17/06/2015
      Vertices, Edges and Faces
      An introduction to the terms vertex, edge and face and a statement of Euler's Formula, followed by ten online multiple choice questions. 17/06/2015
      Visual proof of the area of a trapezium
      A powerpoint which clearly demonstrates how the formula for the area of a trapezium is derived. You will need to register for a TES account to access this resource, this is free of charge. 17/06/2015

      3D Shapes
      Volume and surface area overview02/03/2015
      Area of Flags
      A set of three powerpoints and associated worksheets practising finding the area of triangles, parallelograms and trapezia in the context of flags of the world. You will need to register for a TES account to access this resource, this is free of charge. 17/06/2015
      Faces, Edges and Vertices
      A powerpoint and associated worksheet which allows students to find the number of vertices, edges and faces for a range of named solids before 'discovering' Euler's Formula. You will need to register for a TES account to access this resource, this is free of charge. 17/06/2015
      Surface area of combined shapes
      Three worksheets can be accessed from this website which assess students ability to find the surface area of composite solids.17/06/2015
      Surface area of L blocks
      On this website three worksheets at each of three different levels assess students ability to find the surface area of L shaped solids.17/06/2015
      Surface area of pyramids
      Powerpoint and worksheet which demonstrate how to find the surface area of a pyramid. Students will need a reminder of how to use Pythagoras' theorem from Key Stage 3. You will need to register for a TES account to access this resource, this is free of charge. 17/06/2015

      2D Representation of 3D shapes - Homework sheet
      Downloadable resource in doc format. 02/04/2010
      2D Representations of 3D shapes
      Downloadable resource in doc format. 07/04/2010
      2D Representations of 3D shapes - Lesson plan
      Downloadable resource in doc format. 08/04/2010
      2D Representations of 3D shapes - Nets for cubes - Worksheet
      Downloadable resource in doc format. 05/04/2010
      2D Representations of 3D shapes - Planes of symmetry for 3D - Worksheet
      Downloadable resource in doc format. 04/04/2010
      Perimeter, area and volume - Rectangles - Worksheet
      Downloadable resource in doc format. 11/04/2010
      Perimeter, area and volume - Area and perimeter (traingle/trapezium) - Worksheet 2
      Downloadable resource in xls format. 14/04/2010
      Perimeter, area and volume - Area and perimeter (triangle/trapezium) - Worksheet 1
      Downloadable resource in xls format. 16/04/2010
      Perimeter, area and volume - Area and perimeter of parallelogram and trapezium - Lesson plan
      Downloadable resource in doc format. 18/04/2010
      Perimeter, area and volume - Area and perimeter of parallelogram and trapezium - Worksheet
      Downloadable resource in doc format. 17/04/2010
      Perimeter, area and volume - Area of parallelogram - Worksheet
      Downloadable resource in xls format. 10/04/2010
      Perimeter, area and volume - Area of parallelogram and trapezium - Powerpoint
      Downloadable resource in ppt format. 14/04/2010
      Perimeter, area and volume - Compound shapes perimeter and area - Powerpoint
      Downloadable resource in ppt format. 09/04/2010
      Perimeter, area and volume - Homework sheets
      Downloadable resource in doc format. 06/04/2010
      Perimeter, area and volume - Perimeter and area of rectangles, triangles and shapes made from them - Lesson plan
      Downloadable resource in doc format. 15/04/2010
      Perimeter, area and volume - Teacher modelling activity - Powerpoint
      Downloadable resource in ppt format. 13/04/2010
      Properties of polygons and circles - Representations of 3D shapes - Lesson plan
      Downloadable resource in doc format. 07/04/2010
      Representations of 3D shapes - Lesson plan
      Downloadable resource in doc format. 07/04/2010

      Topic Tests

      8300 GCSE Foundation Area and Perimeter of 2D Shapes Mark Scheme
      Downloadable resource in pdf format. 23/01/2023
      8300 GCSE Foundation Area and Perimeter of 2D Shapes Topic Test
      Downloadable resource in pdf format. 23/01/2023

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