Properties of polygons (8300 - Foundation - Geometry and measures)

Topic:Properties of polygons

Specification references (in recommended teaching order)

Specification content Specification notes
G3
  • Derive and use the sum of angles in a triangle (e.g. to deduce and use the angle sum in any polygon, and to derive properties of regular polygons)


    G4
    • Derive and apply the properties and definitions of:
      • special types of quadrilaterals, including square, rectangle, parallelogram, trapezium, kite and rhombus
      • and triangles and other plane figures using appropriate language

    • including knowing names and properties of isosceles, equilateral, scalene, right-angled, acute-angled, obtuse-angled triangles
    • including knowing names and using the polygons: pentagon, hexagon, octagon and decagon


    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

    Properties of polygons - all resources for 3 year route map - zip folder
    Downloadable resource in zip format. 15/07/2014
    Topic overview and lesson plans
    Downloadable resource in doc format. 15/07/2014

    Lesson 1 Activity 1
    Downloadable resource in doc format. 13/07/2014
    Lesson 1 Activity 2
    Downloadable resource in doc format. 12/07/2014
    Lesson 1 Activity 3
    Downloadable resource in doc format. 11/07/2014
    Lesson 1 Activity 4
    Downloadable resource in ppt format. 11/07/2014
    Lesson 2 Activity 1
    Downloadable resource in doc format. 10/07/2014
    Lesson 2 Activity 2
    Downloadable resource in doc format. 09/07/2014
    Lesson 3 Activity 1
    Downloadable resource in doc format. 08/07/2014
    Lesson 4 Activity 1
    Downloadable resource in ppt format. 07/07/2014
    Lesson 4 Activity 2
    Downloadable resource in doc format. 06/07/2014
    Lesson 5 Activity 1
    Downloadable resource in doc format. 05/07/2014
    Lesson 6 Activity 1
    Downloadable resource in doc format. 04/07/2014
    Lesson 6 Activity 2
    Downloadable resource in doc format. 03/07/2014

    Lesson 1 Worksheet 1
    Downloadable resource in doc format. 13/07/2014
    Lesson 2 Worksheet 1
    Downloadable resource in doc format. 12/07/2014
    Lesson 4 Worksheet 1
    Downloadable resource in doc format. 11/07/2014
    Lesson 4 Worksheet 2
    Downloadable resource in doc format. 10/07/2014
    Lesson 5 Worksheet 1
    Downloadable resource in doc format. 09/07/2014

    Lesson 1 Homework sheet 1
    Downloadable resource in doc format. 13/07/2014
    Lesson 2 Homework sheet 1
    Downloadable resource in doc format. 12/07/2014
    Lesson 3 Homework sheet 1
    Downloadable resource in doc format. 11/07/2014
    Lesson 4 Homework sheet 1
    Downloadable resource in doc format. 10/07/2014
    Lesson 5 Homework sheet 1
    Downloadable resource in doc format. 09/07/2014

    Diagnostic Questions - Properties of Polygons
    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

    Interior angles in Polygons
    Development of the idea of the interior angle sum of a polygon by splitting the polygon into triangles, including the formula 180(n-2). Ten online questions are available for practise.04/08/2015
    Types of Quadrilaterals
    A powerpoint to introduce the properties of named quadrilaterals. You will need to register for a TES account to access this resource, this is free of charge. 04/08/2015

    Angles in parallel lines
    A series of engaging card sort activities and worksheets involving finding missing angles on parallel lines and in triangles and parallelograms. You will need to register for a TES account to access this resource, this is free of charge. 04/08/2015
    CIMT: Parallel and Intersecting Lines
    An Introduction to vertically opposite, corresponding, alternate and supplementary angles followed by an online exercise.04/08/2015
    Exterior angle of a triangle
    Students investigate the relationship between the exterior angle and the opposite two interior angles and develop a proof of the rule if possible. You will need to register for a TES account to access this resource, this is free of charge. 04/08/2015
    Exterior angles in Polygons
    Development of the idea of the exterior angle sum of a polygon by splitting the polygon into triangles. Ten online questions are available for practise. 04/08/2015
    Interior angles in Polygons
    Development of the idea of the interior angle sum of a polygon by splitting the polygon into triangles, including the formula 180(n-2). Ten online questions are available for practise.04/08/2015
    Maths is Fun: Parallel Lines
    An introduction to the terminology of angles on parallel lines, followed by ten online questions.04/08/2015
    Nrich Quadrilaterals
    An investigation into the quadrilaterals that can be formed on a circle with eight evenly spaced dots.04/08/2015
    SS1 Classifying Shapes
    Students classify shapes in relation to properties of symmetry, regularity, angle properties and parallel sides.04/08/2015

    Angles in parallel lines
    A series of engaging card sort activities and worksheets involving finding missing angles on parallel lines and in triangles and parallelograms. You will need to register for a TES account to access this resource, this is free of charge. 04/08/2015
    Exploring properties of quadrilaterals
    Student investigate properties of quadrilaterals such as diagonals bisecting at right angles. An extension task investigating the quadrilaterals that can be made on a 3x3 pinboard is also provided. You will need to register for a TES account to access this resource, this is free of charge. 04/08/2015
    Parallel Lines and Pairs of Angles
    Parallel Lines interactive worksheet02/03/2015
    Quadrilaterals
    Quadrilaterals interactive worksheet02/03/2015
    Triangle Properties
    Pupils must draw triangles, where possible to fit classifications of acute/isosceles/equilateral triangle with various angle criteria. You will need to register for a TES account to access this resource, this is free of charge. 04/08/2015

    Quadrilaterals
    Facts about quadrilaterals02/03/2015

    Properties of polygons and circles - Homework sheets
    Downloadable resource in doc format. 02/04/2010
    Properties of polygons and circles - Properties of shapes - Lesson plan
    Downloadable resource in doc format. 08/04/2010

    Topic Tests

    8300 GCSE Foundation Properties of polygons practice Mark Scheme
    Downloadable resource in pdf format. 05/05/2023
    8300 GCSE Foundation Properties of polygons practice Topic Test
    Downloadable resource in pdf format. 05/05/2023

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