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Geometry and measures recap and review (8300 - Higher - Geometry and measures)

Topic:Geometry and measures recap and review

Route Map

Specification references (in recommended teaching order)

Specification content Specification notes
G11
  • Solve geometrical problems on co-ordinate axes

    G7
    • Identify, describe and construct congruent and similar shapes, including on co-ordinate axes, by considering rotation, reflection, translation and enlargement (including fractional and negative scale factors)

      G8
      • Describe the changes and invariance achieved by combinations of rotations, reflections and translations
      • including using column vector notation for translations
      G17
      • Find the surface area of pyramids and composite solids
      • Calculate surface area of spheres, cones and composite solids
      • Calculate the volume of spheres, pyramids, cones and composite solids
      • including frustums
      G18
      • Calculate arc lengths, angles and areas of sectors of circles


        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

        Bow Tie
        An investigative activity in which students use copies of an irregular pentagon to tile a plane surface. An online animation can be used to support this activity.17/08/2015
        E-library
        Type(s): Activities (e-library)
        Connect 4 activity. Circles - area, perimeter, area and arc length
        A worksheet in which students play 'connect 4' where pupils work with a partner to find 4 correct answers on questions relating to arc length and sector area. You will need to register for a TES account to access this resource, this is free of charge. 17/08/2015
        E-library
        Type(s): Activities (e-library)
        Maths is Fun - Circle Sector and Segment
        An overview of the method for finding sector area, arc length and segment area (which involves the use of the formula 1/2absin C for the area of a triangle, which is covered in the later Sine and Cosine Rules topic but could be introduced here as an extension). The website includes ten online interactive questions.17/08/2015
        E-library
        Type(s): Activities (e-library)
        Mirror Mirror
        An activity in which students carry out a number of reflections and analyse what single transformation would describe the overall transformation. Two follow up activities '...on the Wall' and 'Who is the Fairest of Them All?' are suitable for Higher tier students and are accessible from the 'Mirror Mirror...' page.24/08/2015
        E-library
        Type(s): Activities (e-library)
        Nrich - Coordinate Patterns
        An NRICH investigation into the coordinates of various patterns of squares and triangles on coordinate grids.17/08/2015
        E-library
        Type(s): Activities (e-library)
        Rich Maths Tasks - Square Coordinates
        An investigative activity in which students investigate the relationship between the coordinates of the four corners of a square in various orientations on a set of coordinate axes. You will need to register for a TES account to access this resource, this is free of charge. 17/08/2015
        E-library
        Type(s): Activities (e-library)

        Making 2D shapes from missing coordinates
        A worksheet in which students must find the missing coordinates to make the stated shape, for example a rhombus or scalene triangle. You will need to register for a TES account to access this resource, this is free of charge. 17/08/2015
        E-library
        Type(s): Worksheets (e-library)
        Maths Drills - Measurement Math Worksheets
        Sections 20-23 of the webpage offers an extensive range of worksheets to consolidate and practice finding the volume and surface area of cones, cylinders, spheres, prisms and conical frustrums.17/08/2015
        E-library
        Type(s): Worksheets (e-library)
        Surface Area and Volume of Famous Buildings
        A worksheet involving finding the volume and surface area of famous buildings around the world. You will need to register for a TES account to access this resource, this is free of charge. 17/08/2015
        E-library
        Type(s): Worksheets (e-library)

        Topic Tests

        8300 GCSE Higher Circle theorems practice Mark Scheme
        Downloadable resource in pdf format. 30/06/2023
        239 KB
        Related resources: Geometry and measures recap and review
        8300 GCSE Higher Circle theorems practice Topic Test
        Downloadable resource in pdf format. 30/06/2023
        323 KB
        Related resources: Geometry and measures recap and review
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