Mathematics

Advanced

50 mins

Teacher/Student led

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Learning Outcomes

Lesson Files

+80 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
2 Watch and Notice
3 Try It Together
4 Sketch the Grid in Your Copy
5 Class Challenge
6 What Did We Notice?
7 What's Next
Pupil practice

1 - Getting Started ~4 mins

Illustration for Getting Started You 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?

👇 Mark your steps as done as you complete them.

+5 XP

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.

👇 Mark your steps as done as you complete them.

+10 XP

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

+15 XP

4 - Sketch the Grid in Your Copy ~4 mins

COPYBOOK MOMENT

Illustration for Sketch the Grid in Your Copy In 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.

+10 XP

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

+15 XP

Pupil practice

Module 7 · Data, Chance and the Co-ordinate Plane Data & Chance

Lesson 104 · All Four Quadrants: a First Walk

Download Activity Book page (PDF)

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