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Year 7

Securing understanding of plotting coordinates

I can plot coordinates in any quadrant.

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New

Year 7

Securing understanding of plotting coordinates

I can plot coordinates in any quadrant.

Download all resources

Share activities with pupils

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Lesson details

Key learning points

Coordinates can be plotted in quadrants two and four.
Coordinates can be plotted in the third quadrant.
Shapes can plotted in one quadrant.
Shapes can be plotted in multiple quadrants.

Keywords

Quadrant - A quadrant is any one of the four areas into which a space is divided by the $$x$$ and $$y$$ axes in the Cartesian coordinate system.

Common misconception

(-2,3), (2,-3), (-2,-3) can be confusing as pupils can confuse $$x$$ and $$y$$.

Talk about positive $$x$$-direction, negative $$x$$-direction. This will help the students to visualise which quadrant to plot in.

Consider putting a blank grid on the board and asking the class to point at the origin. Then instruct them to move their fingers, "Negative $$x$$ direction. Positive $$y$$ direction" etc.

Teacher tip

Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

Lesson video

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Worksheet

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Starter quiz

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6 Questions

Q1.

We call the vertical axis in the Cartesian coordinate system the __________.

$$x$$-axis

Correct answer: $$y$$-axis

straight axis

upright

Q2.

Which language best describes this coordinate position?

5 along, 2 up.

5 right, 2 up.

5 in the $$x$$ direction, 2 in the $$y$$ direction.

5 in the positive $$x$$ direction, 2 in the positive $$y$$ direction.

Correct answer: From the origin, 5 in the positive $$x$$ and 2 in the positive $$y$$ direction.

Q3.

What is this coordinate?

Correct answer: $$(3,5)$$

$$x=3, y=5$$

$$(5,3)$$

$$x=5, y=3$$

Q4.

What's wrong with the labelling of this coordinate?

Nothing.

We always use dots, not crosses to mark coordinates.

Correct answer: There is no comma between the $$x$$ and $$y$$ coordinates.

Correct answer: The $$x$$ and the $$y$$ coordinates are the wrong way round.

Q5.

Match the coordinates for the vertices of this rectangle.

Correct Answer:A,$$(5,3)$$

$$(5,3)$$

Correct Answer:B,$$(3,5)$$

$$(3,5)$$

Correct Answer:C,$$(0,2)$$

$$(0,2)$$

Correct Answer:D,$$(2,0)$$

$$(2,0)$$

Q6.

Alex says, "That's the coordinate $$(2,4)$$. I've gone right two squares and up four". What has Alex misunderstood?

Nothing. He is correct.

Correct answer: A coordinate is a single point, not a shaded region.

For the coordinate $$(2,4)$$ he should have gone four right and two up.

Exit quiz

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6 Questions

Q1.

The four areas into which the Cartesian coordinate system is divided by the $$x$$ and $$y$$ axes are called __________.

Correct answer: quadrants

quadrangles

quarters

quadraceps

Q2.

Match the coordinates to the quadrant in which you would find them.

Correct Answer:$$(4,1)$$,1st quadrant

1st quadrant

Correct Answer:$$(-4,1)$$,2nd quadrant

2nd quadrant

Correct Answer:$$(-4,-10)$$,3rd quadrant

3rd quadrant

Correct Answer:$$(4,-10)$$,4th quadrant

4th quadrant

Q3.

What is this coordinate?

Correct answer: $$(3,-4)$$

$$(3,4)$$

$$(-3,-4)$$

$$(-4,3)$$

$$(-3,4)$$

Q4.

What's wrong with the labelling of this coordinate?

Nothing. That's the coordinate $$(2,-2)$$

Both coordinates should be $$-2$$.

Correct answer: The signs are the wrong way round on both coordinates. It should read $$(-2,2)$$

Q5.

This rectangle's sides are parallel to the $$x$$ and $$y$$ axes. What is the missing fourth coordinate?

$$(-15,-12)$$

Correct answer: $$(-15,-7)$$

$$(-12,-7)$$

$$(-12,7)$$

$$(-15,12)$$

Q6.

What is wrong with these axes?

They should go up in steps of 1.

You can't go up in steps of 4.

Nothing. Both the $$x$$ and $$y$$ axes are numbered correctly.

Correct answer: The $$y$$-axis does not change in equal steps.

The $$x$$-axis does not change in equal steps.