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

Plotting Points in the First Quadrant

Learn to plot coordinate pairs on a grid by moving along the x-axis first, then up the y-axis. Discover why order matters and how to handle points that lie on the axes.

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    1 - Getting Started ~4 mins

    Imagine you wanted to tell a friend exactly where your house is on a grid map of your estate. Saying "near the green" or "the third row" is not quite enough. How could you give your friend a set of directions so clear that they land on the right house every single time?

    2 - Watch and Notice ~9 mins

    Illustration for Watch and Notice

    (3, 4)

    Watch how we plot this point. We start at the corner where the two number lines meet, then move 3 squares along first, and only then move 4 squares up. The little dot lands on the address (3, 4).

    (5, 0)

    This time the second number is 0, so we go 5 along and don't move up at all. The point sits right on the line that runs across.

    (0, 6)

    Now the first number is 0, so we don't move along at all, just 6 up. The point sits right on the line that runs up.

    (7, 7)

    Even though both numbers are 7, you still make two separate moves: 7 squares along, then 7 squares up. The point lands on the slanting line where every across number matches its up number.

    3 - Try It Together ~11 mins

    Today we explore together: I will call out a co-ordinate pair, and one pupil will come up and plot it on the grid. The rest of the class watches the board and decides whether the point landed on the right address.

    The rule today

    Remember our rule, along first, then up.

    Plot the called point

    4 - Rule the Grid in Your Copy ~3 mins

    COPYBOOK MOMENT

    Illustration for Rule the Grid in Your CopyTake a sheet of pre-ruled grid paper and mark 0 to 8 along each axis. Then plot each of these points and label each one with its co-ordinate pair:

    • (3, 4)
    • (5, 0)
    • (0, 6)
    • (7, 7)

    5 - Class Challenge ~8 mins

    Today we work through these challenges together: first plot a single point, then plot three points that join up to make a triangle, then complete a square where three corners are already placed, and finally plot four points that make a square yourself. We will check each one before moving on.

    Plot to match the target

    6 - What Did We Notice? ~3 mins

    MATHS TALK

    Why must we always go along before up? What happens to (3, 4) if we read it the wrong way round and plot (4, 3) instead — do the two points land in the same place?

    7 - What's Next ~2 mins

    What we learned today

    • A co-ordinate pair like (3, 4) is an exact address: go along the x-axis first, then up the y-axis.
    • A point with a zero co-ordinate sits right on one of the axes.
    • Order matters: (3, 4) and (4, 3) land in different places.

    Coming up

    Coming up

    Next we stretch the grid below zero and to the left, splitting it into four quadrants so we can give addresses to points that go down and back as well as across and up.

    Pupil practice
    Module 8 · Location, Transformations and Scale Algebra
    Lesson 82 · Plotting Points in the First Quadrant
    Download Activity Book page (PDF)
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