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.