Coordinates and linear graphs (8300 - Higher - Algebra)

Topic:Coordinates and linear graphs

Specification references (in recommended teaching order)

Specification content Specification notes
A8
  • Work with co-ordinates in all four quadrants


    G11
    • Solve geometrical problems on co-ordinate axes


      A9
      • Plot graphs of equations that correspond to straight line graphs in the co-ordinate plane
      • Use the form  to identify parallel lines and perpendicular lines
      • Find the equation of the line through two given points, or through one point with a given gradient


        A10
        • Identify and interpret gradients and intercepts of linear functions graphically and algebraically



          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 - Coordinates and linear graphs
          AQA have teamed up with Craig Barton's Diagnostic Questions website to share free diagnostic question assessment for our new 2017 GCSE Maths specification.23/02/2016

          Equation of a line
          An introduction to the equation of a straight line followed by ten interactive online questions.02/06/2015
          Straight line graphs mystery
          An investigation in which students use the given clues to identify which graph goes where on a given answer grid. You will need to register for an account to access this resource, this is free of charge. 02/06/2015

          Chelsea Diagnostic Maths Tests
          A set of 15 questions on graphs.27/08/2015
          Cipher Challenge Graphs
          Students must find the equation of the lines in the form y=mx+c and use these to help decode a secret.02/06/2015
          Enclosing Squares
          An investigation in which students determine the rules relating to the equation of four straight lines so that they form an enclosed square on a grid. 02/06/2015
          Line graph matching cards
          A matching activity which reinforces the use of m and c for the gradient and y-intercept of straight line. You will need to register for a TES account to access this resource, this is free of charge. 02/09/2015
          MEI: Introduction to Coordinate Geometry
          An investigative activity in which students are given limited information about a square on a grid and must find various equations, lengths, coordinates and gradients in relation to the diagram. You will need to register for a TES account to access this resource, this is free of charge. 02/09/2015
          Missing coordinates
          Powerpoint in which students must identify the coordinates of the missing point in order to produce a shape such as a parallelogram or an isosceles triangle. You will need to register for a TES account to access this resource, this is free of charge. 02/09/2015
          Parallel lines
          An online interactive demonstration in which students can experiment moving the position of straight lines and determine the connection between the equations of parallel lines. 02/06/2015
          Real life straight line graphs game
          Matching activity in which cards need to be put together into threes - the equation of the line, a graph showing a line and a card stating a real life situation that corresponds to the graph. You will need to register for a TES account to access this resource, this is free of charge. 02/06/2015
          Starter / Plenary for straight line graphs
          A nice starter or plenary activity - a multiple choice ten question quiz in which students must identify the gradient, intercept and other properties of given lines. You will need to register for a TES account to access this resource, this is free of charge. 02/09/2015
          Transum: Straight line graphs
          An activity in which students must reproduce given diagrams involving straight lines in various orientations using graph plotting software such as Geogebra. 02/09/2015

          Starter / Plenary for straight line graphs
          A nice starter or plenary activity - a multiple choice ten question quiz in which students must identify the gradient, intercept and other properties of given lines. You will need to register for a TES account to access this resource, this is free of charge. 02/09/2015

          Starter / Plenary for straight line graphs
          A nice starter or plenary activity - a multiple choice ten question quiz in which students must identify the gradient, intercept and other properties of given lines. You will need to register for a TES account to access this resource, this is free of charge. 02/09/2015

          Chelsea Diagnostic Maths Tests
          A set of 15 questions on graphs.27/08/2015
          Equations of horizontal and vertical lines
          A worksheet focusing on the drawing and interpretation of horizontal and vertical lines. 02/06/2015
          Find missing coordinates of the square
          An investigation set in the context of a Roman Fort, in which students are given two vertices representing corners of thee square fort in which students must determine the possible positions of the other two corners. You will need to register for a TES account to access this resource, this is free of charge. 02/06/2015
          Finding gradients
          A worksheet involving finding the gradient of straight lines and reading off the values of m and c from a given line equation. You will need to register for a TES account to access this resource, this is free of charge. 02/06/2015

          Chelsea Diagnostic Maths Tests
          A set of 15 questions on graphs.27/08/2015

          Coordinates
          A powerpoint (with some printable slides at the end to use as worksheets) which involves a range of geometrical problems, plotting and reading off coordinates and creating an image by plotting coordinates. You will need to register for a TES account to access this resource, this is free of charge. 02/06/2015

          Coordinates and Applications of Linear Graphs - Profit & Loss - Lesson Plan
          Downloadable resource in doc format. 02/06/2010
          Coordinates and Applications of Linear Graphs - What Formula? - Problem Sheet
          Temperature worksheet; create and use a conversion graph for Celsius and Farenheit.02/05/2010
          Coordinates and graphs - Homework Sheet and Mark Scheme
          Downloadable resource in doc format. 08/04/2010
          Coordinates and graphs - Powerpoint
          Downloadable resource in ppt format. 23/05/2010
          Coordinates and graphs - Straight line graphs - Lesson 1
          Downloadable resource in doc format. 23/06/2010
          Coordinates and graphs - Straight line graphs - Lesson 2
          Downloadable resource in doc format. 23/06/2010
          Coordinates and graphs - Straight line graphs - Worksheet 1
          Downloadable resource in doc format. 23/05/2010
          Coordinates and Graphs – Straight Line Graphs - Worksheet 2
          Downloadable resource in doc format. 23/05/2010

          Topic Tests

          8300 GCSE Higher Equation of a Line Mark Scheme
          Downloadable resource in pdf format. 20/10/2022
          8300 GCSE Higher Equation of a Line Topic Test
          Downloadable resource in pdf format. 20/10/2022
          8300 GCSE Higher Equation of Perpendicular Lines Mark Scheme
          Downloadable resource in pdf format. 13/10/2022
          8300 GCSE Higher Equation of Perpendicular Lines Topic Test
          Downloadable resource in pdf format. 13/10/2022

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