Mathematics
Intermediate
40 mins
Teacher/Student led
+80 XP
What you need:
IWB/Projector/Large Screen

Plotting and Reading Points with Negative Co-ordinates

Learn to plot points with negative co-ordinates on a four-quadrant grid, understanding that a minus sign means travelling left or down from the origin. Read and write co-ordinate pairs accurately.

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    1 - Getting Started ~4 mins

    Here is a co-ordinate pair on the board: (−5, −2). You already know how to plot points that go right and up. Now both numbers can carry a minus sign. So which way do we travel for each number in this pair — and how far?

    2 - Watch and Notice ~9 mins

    Illustration for Watch and Notice

    (−5, 2)

    Watch as this point is plotted. We start at zero, go five squares left because of the minus, then two squares up. It lands in the top-left.

    (3, −4)

    Now a positive x and a negative y. Three squares right, then four squares down. This one lands in the bottom-right.

    (−6, −1)

    Both numbers are negative this time. Six left, then one down. Bottom-left corner.

    Read this one back

    This dot is already placed for you. Look across first, then up or down. We will read its co-ordinate pair together, and then the answer appears so you can check it: (4, −2).

    3 - Try It Together ~11 mins

    Today we'll work these out together at the board, one pupil at a time while everyone else watches and agrees. First the grid shows a point with its label hidden, and we read off its co-ordinate pair. Then I'll call out a pair and one of us will plot it. We'll swap between reading and plotting so both skills get a turn.

    Read it, then plot it

    4 - Plot and Read in Your Copy ~3 mins

    COPYBOOK MOMENT

    Illustration for Plot and Read in Your CopyIn your maths copy, rule a four-quadrant grid from −6 to 6 on each axis. Plot each of these points and label it:

    • (−5, 2)
    • (3, −4)
    • (−6, −1)

    Then read the three points I place on the board and write their co-ordinate pairs underneath your grid.

    5 - Class Challenge ~8 mins

    Today we'll work through these together at the board. First we'll plot some mixed-sign points. And for the tricky one, three corners of a rectangle are placed and we'll work out where the fourth one goes.

    Plot, read, and reason

    6 - What Did We Notice? ~3 mins

    MATHS TALK

    How is (−3, 4) different from (4, −3)? They use the same two numbers and the same minus sign — so do they land in the same place, or somewhere different?

    7 - What's Next ~2 mins

    What we learned today

    • A minus sign means travel the opposite way: left along x, down on y.
    • To read a placed point, look across first, then up or down, and write the pair (x, y).
    • (−3, 4) and (4, −3) use the same numbers but land in opposite corners — order matters.

    Coming up

    Next we will slide whole shapes around this four-quadrant grid, reading off the new co-ordinates of every corner after the move.

    Pupil practice
    Module 8 · Location, Transformations and Scale Algebra
    Lesson 84 · Plotting and Reading Points with Negative Co-ordinates
    Download Activity Book page (PDF)
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