Y10 Foundation: Topic 14: Coordinates and linear graphs

Objectives:

    • Plot and read coordinates on a coordinate grid (in all four quadrants)
    • Understand that one coordinate identifies a point on a line, two coordinates identify a point in a plane and three coordinates identify a point in space, and use the terms ‘1-D’, ‘2-D’ and ‘3-D’
    • Find the coordinates of the fourth vertex of a parallelogram
    • Identify the coordinates of the vertex of a cuboid on a 3-D grid
    • Writing down the coordinates of the midpoint of the line connecting two points
    • Calculate the length of the line segment joining two points in the plane (all four quadrants)
    • Draw linear graphs from tabulated data, including real-world examples
    • Interpret linear graphs, including conversion graphs and distance-time graphs
    • Understand the difference between a line and a line segment
    • Draw and interpret graphs in the form y = mx + c (when values for m and c are given)
    • Understand that lines are parallel when they have the same value of m
    • Solve simultaneous equations graphically, eg find when/where the car overtakes the bus

Prior Knowledge:

    • Experience at plotting points in all quadrants
    • Directed numbers
    • Parallel and perpendicular lines

Key Vocabulary:

  • Copy and paste here.

Differentiation & Extension:

    • Find the coordinates of the point if intersection of the medians of a triangle, and explore further
    • Identify the coordinates of the midpoint of a line segment in 3-D
    • Plot graphs of the form y = mx + c where the student has to generate their own table and set out their own axes
    • Use a spreadsheet to generate straight line graphs, posing questions about the gradient of lines
    • More able students could extend to identifying regions relating to straight line graphs
    • Students performing below grade C will struggle with much of this module and examples should be set accordingly
    • Draw quadratic graphs
    • Use a graphical calculator to draw straight line graphs
    • Find graphically the coordinates of the point of intersection of two lines
    • Shading regions in a linear inequality

Using & Applying ideas:

  • Collaborate here.

NOTES
    • Students should use a ruler to draw coordinate axes
    • Coordinate axes should be labelled
    • Students often have difficulty visualising 3-D coordinates
    • Recognise linear graphs and hence when data may be incorrect
    • Link to graphs and relationships in other subject areas, ie science, geography, etc

Teaching & Learning Resources:


3D Shapes Resources