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Perimeter and area (8300 - Higher - Geometry and measures)

Topic: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

G17
  • Calculate the perimeter of a 2D shapes and composite shapes
  • Find the surface area of pyramids 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

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

    Diagnostic Questions - Perimeter and area
    AQA have teamed up with Craig Barton's Diagnostic Questions website to share free diagnostic question assessment for our new 2017 GCSE Maths specification.01/03/2016
    E-library
    Type(s): Diagnostic Questions (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)
    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)

    Perimeter Area and Volume - Volume - Lesson Plan
    Downloadable resource in doc format. 30/07/2010
    66 KB
    Related resources: Higher | Unit 3 | Perimeter, Area and Volume | Perimeter and area | Lesson Plans
    Perimeter, Area and Volume - Area of a Parallelogram
    An interactive excel workbook. Students are challenged to find length, given the area of a series of parallelograms and on the second worksheet, to find area and perimeter, given length.02/06/2010
    130 KB
    Related resources: Higher | Unit 3 | Perimeter, Area and Volume | Perimeter and area | Supplementary Resources
    Perimeter, Area and Volume - Area of Parallelograms and Trapeziums
    A powerpoint presentation demonstrating how to find the area of parallelograms and trapeziums.02/06/2010
    1.3 MB
    Related resources: Higher | Unit 3 | Perimeter, Area and Volume | Perimeter and area | Supplementary Resources
    Perimeter, Area and Volume - Compound Shapes - Lesson Plan
    Downloadable resource in doc format. 02/08/2010
    123 KB
    Related resources: Higher | Unit 3 | Perimeter, Area and Volume | Perimeter and area | Lesson Plans
    Perimeter, Area and Volume - Compound Shapes - Perimeter and Area of Rectangles
    Downloadable resource in ppt format. 02/06/2010
    1.4 MB
    Related resources: Higher | Unit 3 | Perimeter, Area and Volume | Perimeter and area | Supplementary Resources
    Perimeter, Area and Volume - Parallelogram & Trapezium - Lesson Plan
    Downloadable resource in doc format. 02/08/2010
    124 KB
    Related resources: Higher | Unit 3 | Perimeter, Area and Volume | Perimeter and area | Lesson Plans
    Perimeter, Area and Volume - Perimeter and Area of Triangle and Trapezium
    Interactive excel workbook containing a series of worksheets. Students are challenged find the area of a triangle given lengths, find lengths in a triangle given the area and find the area of a trapezium.02/06/2010
    156 KB
    Related resources: Higher | Unit 3 | Perimeter, Area and Volume | Perimeter and area | Supplementary Resources

    Topic Tests

    8300 GCSE Higher Area of 2D Shapes Mark Scheme
    Downloadable resource in pdf format. 22/12/2022
    240 KB
    Related resources: Perimeter and area
    8300 GCSE Higher Area of 2D Shapes Topic Test
    Downloadable resource in pdf format. 22/12/2022
    256 KB
    Related resources: Perimeter and area
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