Mathematics
Advanced
50 mins
Teacher/Student led
+65 XP
What you need:
IWB/Projector/Large Screen

All Four Quadrants: a First Walk

Plot points with negative coordinates on a full four-quadrant grid. Learn which quadrant each point lands in, and how minus signs change the direction of movement along each axis.

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    1 - Getting Started ~4 mins

    Illustration for Getting StartedYou already know how to plot points that go right and up. But a coordinate grid does not stop at zero. The two lines cross at zero and carry on in every direction, so a point can go left as well as right, and down as well as up.

    What do you think a point like (−3, 4) means? Which way would each number send it?

    2 - Watch and Notice ~10 mins

    You already know the first quadrant: right along, then up. Now the grid runs the other way too, and the two axes cut it into four regions. Notice which way each minus sign pushes a point, and what happens when a coordinate is zero.

    3 - Try It Together ~7 mins

    Key point

    Today we plot these points together, one at a time: (4, −1), then (−3, 4), then (1, 3), then (−5, −2). Say which way each minus sends the point before it lands, and name the quadrant number it belongs to.

    Plot these four together

    4 - Sketch the Grid in Your Copy ~4 mins

    COPYBOOK MOMENT

    Illustration for Sketch the Grid in Your CopyIn your maths copy, sketch a four-quadrant grid with each axis running from −5 to +5. Then plot each of today's points on it, one at a time:

    • (-3, 4)
    • (-2, -5)
    • (4, -1)
    • (-5, -2)

    Label each point with its (x, y) pair and write the quadrant number beside it.

    5 - Class Challenge ~8 mins

    Key point

    Take turns at the board to plot each called point. Before each one, predict which quadrant number it will land in, then check.

    Plot the called point

    Pupil practice
    Module 7 · Data, Chance and the Co-ordinate Plane Data & Chance
    Lesson 96 · All Four Quadrants: a First Walk
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