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Further perimeter and area (8300 - Foundation - Geometry and measures)

Topic:Further perimeter and area

Route Map

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 (review of Year 9)

G17
  • Calculate the perimeter of a 2D shape and composite shapes (review of Year 9)
  • Calculate the area of composite shapes (review of Year 9)
  • Find the surface area of pyramids and composite solids

    G16
    • Know and apply formulae to calculate area of:
      • triangles
      • parallelograms
      • trapezia
    • (review of Year 9)


      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

      Teaching resources - see below
      Downloadable resource in format. 29/08/2014

      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
      E-library
      Type(s): Lesson plans (e-library) | Activities (e-library)

      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
      E-library
      Type(s): Activities (e-library)
      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
      E-library
      Type(s): Activities (e-library)
      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
      E-library
      Type(s): Activities (e-library) | Worksheets (e-library)
      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
      E-library
      Type(s): Activities (e-library)
      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
      E-library
      Type(s): Activities (e-library) | Worksheets (e-library)
      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
      E-library
      Type(s): Activities (e-library)
      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
      E-library
      Type(s): Lesson plans (e-library) | Activities (e-library)
      Stair Perimeter
      A starter activity in which students find the perimeter of a 'staircase' shape based on the information provided. 17/06/2015
      E-library
      Type(s): Activities (e-library)
      Step Perimeter
      A starter activity in which students find the perimeter of a 'staircase' shape based on the information provided. 17/06/2015
      E-library
      Type(s): Activities (e-library)
      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
      E-library
      Type(s): Activities (e-library)
      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
      E-library
      Type(s): Activities (e-library)
      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
      E-library
      Type(s): Activities (e-library)
      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
      E-library
      Type(s): Activities (e-library)

      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
      E-library
      Type(s): Activities (e-library) | Worksheets (e-library)
      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
      E-library
      Type(s): Activities (e-library) | Worksheets (e-library)
      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
      E-library
      Type(s): Worksheets (e-library)
      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
      E-library
      Type(s): Worksheets (e-library)
      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
      E-library
      Type(s): Worksheets (e-library)

      2D Representation of 3D shapes - Homework sheet
      Downloadable resource in doc format. 02/04/2010
      110 KB
      Related resources: 2D representations of 3D shapes | Further perimeter and area | Introduction to perimeter and area | Perimeter and area | Foundation | Unit 3 | 2D Representations of 3D Shapes | Homework Sheets
      2D Representations of 3D shapes
      Downloadable resource in doc format. 07/04/2010
      117 KB104 KB
      Related resources: 2D representations of 3D shapes | Further perimeter and area | Introduction to perimeter and area | Perimeter and area | Foundation | Unit 3 | 2D Representations of 3D Shapes | Homework Sheets
      2D Representations of 3D shapes - Lesson plan
      Downloadable resource in doc format. 08/04/2010
      118 KB
      Related resources: 2D representations of 3D shapes | Further perimeter and area | Introduction to perimeter and area | Perimeter and area | Foundation | Unit 3 | 2D Representations of 3D Shapes | Lesson Plans
      2D Representations of 3D shapes - Nets for cubes - Worksheet
      Downloadable resource in doc format. 05/04/2010
      101 KB
      Related resources: 2D representations of 3D shapes | Further perimeter and area | Introduction to perimeter and area | Perimeter and area | Foundation | Unit 3 | 2D Representations of 3D Shapes | Supplementary Resources
      2D Representations of 3D shapes - Planes of symmetry for 3D - Worksheet
      Downloadable resource in doc format. 04/04/2010
      100 KB
      Related resources: 2D representations of 3D shapes | Further perimeter and area | Introduction to perimeter and area | Perimeter and area | Foundation | Unit 3 | 2D Representations of 3D Shapes | Supplementary Resources
      Perimeter, area and volume - Rectangles - Worksheet
      Downloadable resource in doc format. 11/04/2010
      181 KB
      Related resources: Further perimeter and area | Introduction to perimeter and area | Perimeter and area | Foundation | Unit 3 | Perimeter, Area and Volume | Supplementary Resources
      Perimeter, area and volume - Area and perimeter (traingle/trapezium) - Worksheet 2
      Downloadable resource in xls format. 14/04/2010
      140 KB
      Related resources: Further perimeter and area | Introduction to perimeter and area | Perimeter and area | Foundation | Unit 3 | Perimeter, Area and Volume | Supplementary Resources
      Perimeter, area and volume - Area and perimeter (triangle/trapezium) - Worksheet 1
      Downloadable resource in xls format. 16/04/2010
      159 KB
      Related resources: Further perimeter and area | Introduction to perimeter and area | Perimeter and area | Foundation | Unit 3 | Perimeter, Area and Volume | Supplementary Resources
      Perimeter, area and volume - Area and perimeter of parallelogram and trapezium - Lesson plan
      Downloadable resource in doc format. 18/04/2010
      125 KB
      Related resources: Further perimeter and area | Introduction to perimeter and area | Perimeter and area | Foundation | Unit 3 | Perimeter, Area and Volume | Lesson Plans
      Perimeter, area and volume - Area and perimeter of parallelogram and trapezium - Worksheet
      Downloadable resource in doc format. 17/04/2010
      175 KB
      Related resources: Further perimeter and area | Introduction to perimeter and area | Perimeter and area | Foundation | Unit 3 | Perimeter, Area and Volume | Supplementary Resources
      Perimeter, area and volume - Area of parallelogram - Worksheet
      Downloadable resource in xls format. 10/04/2010
      111 KB
      Related resources: Further perimeter and area | Introduction to perimeter and area | Perimeter and area | Foundation | Unit 3 | Perimeter, Area and Volume | Supplementary Resources
      Perimeter, area and volume - Area of parallelogram and trapezium - Powerpoint
      Downloadable resource in ppt format. 14/04/2010
      1.3 MB
      Related resources: Further perimeter and area | Introduction to perimeter and area | Perimeter and area | Foundation | Unit 3 | Perimeter, Area and Volume | Supplementary Resources
      Perimeter, area and volume - Compound shapes perimeter and area - Powerpoint
      Downloadable resource in ppt format. 09/04/2010
      1.3 MB
      Related resources: Further perimeter and area | Introduction to perimeter and area | Perimeter and area | Foundation | Unit 3 | Perimeter, Area and Volume | Supplementary Resources
      Perimeter, area and volume - Homework sheets
      Downloadable resource in doc format. 06/04/2010
      180 KB107 KB
      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
      168 KB
      Related resources: Further perimeter and area | Introduction to perimeter and area | Perimeter and area | Foundation | Unit 3 | Perimeter, Area and Volume | Lesson Plans
      Perimeter, area and volume - Teacher modelling activity - Powerpoint
      Downloadable resource in ppt format. 13/04/2010
      1.1 MB
      Related resources: Further perimeter and area | Introduction to perimeter and area | Perimeter and area | Foundation | Unit 3 | Perimeter, Area and Volume | Supplementary Resources
      Properties of polygons and circles - Representations of 3D shapes - Lesson plan
      Downloadable resource in doc format. 07/04/2010
      119 KB
      Related resources: 2D representations of 3D shapes | Further perimeter and area | Introduction to perimeter and area | Perimeter and area | Foundation | Unit 3 | Properties of Polygons and Circles | Lesson Plans
      Representations of 3D shapes - Lesson plan
      Downloadable resource in doc format. 07/04/2010
      52 KB
      Related resources: 2D representations of 3D shapes | Further perimeter and area | Introduction to perimeter and area | Perimeter and area | Foundation | Unit 3 | 2D Representations of 3D Shapes | Lesson Plans

      Topic Tests

      8300 GCSE Foundation Area and Perimeter Practice Mark Scheme
      Downloadable resource in pdf format. 17/02/2023
      255 KB
      Related resources: Further perimeter and area | Perimeter and area
      8300 GCSE Foundation Area and Perimeter Practice Topic Test
      Downloadable resource in pdf format. 17/02/2023
      293 KB
      Related resources: Further perimeter and area | Perimeter and area
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