Securing understanding of plotting coordinates | Maths

Starter quiz

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

$x$ -axis

$y$ -axis ✓

straight axis

upright
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.

From the origin, 5 in the positive $x$ and 2 in the positive $y$ direction. ✓
What is this coordinate?

$(3,5)$ ✓

$x=3, y=5$

$(5,3)$

$x=5, y=3$
What's wrong with the labelling of this coordinate?

Nothing.

We always use dots, not crosses to mark coordinates.

There is no comma between the $x$ and $y$ coordinates. ✓

The $x$ and the $y$ coordinates are the wrong way round. ✓
Match the coordinates for the vertices of this rectangle.

A

⇔

$(5,3)$ ✓

B

⇔

$(3,5)$ ✓

C

⇔

$(0,2)$ ✓

D

⇔

$(2,0)$ ✓
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.

A coordinate is a single point, not a shaded region. ✓

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

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

quadrants ✓

quadrangles

quarters

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

$(4,1)$

⇔

1st quadrant ✓

$(-4,1)$

⇔

2nd quadrant ✓

$(-4,-10)$

⇔

3rd quadrant ✓

$(4,-10)$

⇔

4th quadrant ✓
What is this coordinate?

$(3,-4)$ ✓

$(3,4)$

$(-3,-4)$

$(-4,3)$

$(-3,4)$
What's wrong with the labelling of this coordinate?

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

Both coordinates should be $-2$ .

The signs are the wrong way round on both coordinates. It should read $(-2,2)$ ✓
This rectangle's sides are parallel to the $x$ and $y$ axes. What is the missing fourth coordinate?

$(-15,-12)$

$(-15,-7)$ ✓

$(-12,-7)$

$(-12,7)$

$(-15,12)$
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.

The $y$ -axis does not change in equal steps. ✓

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

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(-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.

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.