Congruence and similarity (8300 - Foundation - Geometry and measures)

Topic:Congruence and similarity

Specification references (in recommended teaching order)

Specification content Specification notes
G5
  • Use the basic congruence criteria for triangles (SSS, SAS, ASA, RHS)


    G6
    • Apply angle facts, triangle congruence, similarity and properties of quadrilaterals to conjecture and derive results about angles and sides, including Pythagoras’ Theorem and the fact that the base angles of an isosceles triangle are equal, and use known results to obtain simple proofs


    G19
    • Apply and use the concepts of congruence and similarity, including the relationships between lengths in similar figures



      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

      Congruence and similarity - 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 2 Activity 1
      Downloadable resource in doc format. 12/07/2014

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

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

      Diagnostic Questions - congruence and similarity 1
      AQA have teamed up with Craig Barton's Diagnostic Questions website to share free diagnostic question assessment for the 2017 GCSE Maths qualification.26/04/2017
      Diagnostic Questions - congruence and similarity 2
      AQA have teamed up with Craig Barton's Diagnostic Questions website to share free diagnostic question assessment for the 2017 GCSE Maths qualification. 26/04/2017
      Diagnostic Questions - congruence and similarity 3
      AQA have teamed up with Craig Barton's Diagnostic Questions website to share free diagnostic question assessment for the 2017 GCSE Math qualification. 26/04/2017

      GCSE Bitesize: Congruent and Similar Shapes
      An introduction to congruence and similarity with worked examples, including the SSS, SAS, ASA and RHS conditions and the effect of enlargement on area and volume.04/08/2015

      Maths is Fun: Congruent
      An introduction to what is meant by congruent shapes and how congruence differs from similarity. Ten online questions available for practise. 04/08/2015
      Number the Sides
      Similar triangles ativity02/03/2015
      Similar Triangles Challenge Question
      A problem solving activity involving two vertical poles and the need to use similar triangles to locate the position of crossing points of strings attached to the poles and the ground. You will need to register for a TES account to access this resource, this is free of charge. 04/08/2015
      Transum: Scale Factors
      An online quiz with questions relating to the effect of enlargement on length, area and volume. (Only the lengths questions are suitable for Foundation students.)04/08/2015

      Similar Triangles Challenge Question
      A problem solving activity involving two vertical poles and the need to use similar triangles to locate the position of crossing points of strings attached to the poles and the ground. You will need to register for a TES account to access this resource, this is free of charge. 04/08/2015

      Similar Triangles
      Four worksheets designed to consolidate techniques relating to similar triangles. You will need to register for a TES account to access this resource, this is free of charge. 04/08/2015

      Dance squared
      YouTube square video29/08/2014
      Notes on a Triangle
      YouTube triangle video 29/08/2014

      Topic Tests

      8300 GCSE Foundation Congruent triangles Mark Scheme
      Downloadable resource in pdf format. 24/07/2023
      8300 GCSE Foundation Congruent triangles Topic Test
      Downloadable resource in pdf format. 24/07/2023
      8300 GCSE Foundation Similar Shapes Mark Scheme
      Downloadable resource in pdf format. 22/12/2022
      8300 GCSE Foundation Similar Shapes Topic Test
      Downloadable resource in pdf format. 22/12/2022

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