Mathematics
Advanced
50 mins
Teacher/Student led
+80 XP
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IWB/Projector/Large Screen

Drawing a Shape from a List of Co-ordinates

Plot a set of vertex co-ordinates on a grid, then join them in the given order to draw a shape. Discover how joining the same points in a different order creates a completely different shape.

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    1 - Getting Started ~4 mins

    Illustration for Getting StartedHere is a list of four points: (1, 1), (4, 1), (4, 3), (1, 3).

    If you plotted all four and joined them up, what shape do you think you would get?

    2 - Watch and Notice ~10 mins

    Each shape is drawn by plotting every vertex first, then joining the points in the order listed, with the last point going back to the first so the shape closes. The same rule builds a rectangle, a triangle, a pentagon, a shape that uses negative co-ordinates, and one surprise at the end. That last one has the same points as a square, but a different result.

    3 - Try It Together ~10 mins

    Now we plot this kite together, point by point: (3, 1), then (5, 4), then (3, 6), then (1, 4). Always go across first, then up. We plot all four first, then join them in that order and back to the start. Before you join the last line to close it, say what shape you think it will be.

    Plot the kite together

    4 - Sketch the Grid in Your Copy ~3 mins

    COPYBOOK MOMENT

    Illustration for Sketch the Grid in Your CopyIn your maths copy, sketch a first-quadrant grid. Plot the kite we drew together: (3, 1), (5, 4), (3, 6), (1, 4), going across first, then up. Join the points in that order and back to the start, then write kite underneath.

    5 - Class Challenge ~8 mins

    Today we draw four shapes, each one harder than the last. Remember: on a four-quadrant grid, go across first (left for a negative), then up or down (down for a negative).

    • Rectangle: (−3, −1), (2, −1), (2, 2), (−3, 2)
    • Triangle: (−4, −3), (3, −3), (0, 3)
    • An arrow from six points
    • The trickiest: a square from (−2, −2), (2, −2), (2, 2), (−2, 2), joined in that order so the sides do not cross

    Draw the shape from its vertices

    Pupil practice
    Module 7 · Data, Chance and the Co-ordinate Plane Data & Chance
    Lesson 97 · Drawing a Shape from a List of Co-ordinates
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