New
New
Year 7
Securing understanding of plotting coordinates
I can plot coordinates in any quadrant.
New
New
Year 7
Securing understanding of plotting coordinates
I can plot coordinates in any quadrant.
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.
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.
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.
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).
Video
Loading...
Starter quiz
Download starter quiz
6 Questions
Q1.
We call the vertical axis in the Cartesian coordinate system the __________.
$$x$$-axis
Correct answer: $$y$$-axis
$$y$$-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.
From the origin, 5 in the positive $$x$$ and 2 in the positive $$y$$ direction.
Q3.
What is this coordinate?
Correct answer: $$(3,5)$$
$$(3,5)$$
$$x=3, y=5$$
$$(5,3)$$
$$x=5, y=3$$
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.
There is no comma between the $$x$$ and $$y$$ coordinates.
Correct answer: The $$x$$ and the $$y$$ coordinates are the wrong way round.
The $$x$$ and the $$y$$ coordinates are the wrong way round.
Q5.
Match the coordinates for the vertices of this rectangle.
Correct Answer:A,$$(5,3)$$
A -
$$(5,3)$$
Correct Answer:B,$$(3,5)$$
B -
$$(3,5)$$
Correct Answer:C,$$(0,2)$$
C -
$$(0,2)$$
Correct Answer:D,$$(2,0)$$
D -
$$(2,0)$$
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.
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
Download exit quiz
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
quadrants
quadrangles
quarters
quadraceps
Q2.
Match the coordinates to the quadrant in which you would find them.
Correct Answer:$$(4,1)$$,1st quadrant
$$(4,1)$$ -
1st quadrant
Correct Answer:$$(-4,1)$$,2nd quadrant
$$(-4,1)$$ -
2nd quadrant
Correct Answer:$$(-4,-10)$$,3rd quadrant
$$(-4,-10)$$ -
3rd quadrant
Correct Answer:$$(4,-10)$$,4th quadrant
$$(4,-10)$$ -
4th quadrant
Q3.
What is this coordinate?
Correct answer: $$(3,-4)$$
$$(3,-4)$$
$$(3,4)$$
$$(-3,-4)$$
$$(-4,3)$$
$$(-3,4)$$
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 $$(-2,2)$$
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: $$(-15,-7)$$
$$(-15,-7)$$
$$(-12,-7)$$
$$(-12,7)$$
$$(-15,12)$$
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 $$y$$-axis does not change in equal steps.
The $$x$$-axis does not change in equal steps.