Mathematics

Advanced

50 mins

Teacher/Student led

Learning Goals

Learning Outcomes

Lesson Files

+80 XP

Teacher-led from the board. Pupils do not need a device, but can follow on one.

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

Your turn

Your teacher is running this lesson on the board. Here is the part you can try yourself.

Your written work is on page 98

Coordinate grid

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

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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