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Year 7

Plotting coordinates generated from a rule

I can represent a set of coordinates, constructed according to a mathematical rule, both algebraically and graphically.

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Year 7

Plotting coordinates generated from a rule

I can represent a set of coordinates, constructed according to a mathematical rule, both algebraically and graphically.

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Lesson details

Key learning points

  1. Pairs of coordinates that follow a rule can be found.
  2. Pairs of coordinates that follow a rule can be plotted.
  3. Coordinates that follow a rule will follow a pattern.
  4. A rule can be identified from the pairs of coordinates.

Keywords

  • Equation - An equation is used to show two expressions that are equal to each other.

Common misconception

Pupils may try to spot patterns between consecutive coordinates. E.g. the y value goes up in ones.

Get pupils to think about the relationship between x and y within a coordinate. Include non-integer values and coordinates not in order.


To help you plan your year 7 maths lesson on: Plotting coordinates generated from a rule, download all teaching resources for free and adapt to suit your pupils' needs...

You may wish to use learning cycle 2 as a chance for mini-whiteboard work. Get pupils to think of a coordinate that fits the rule, share ideas and test each others answers. Pupils could also write their own rules for the class to try.
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Licence

This content is © Oak National Academy Limited (2025), 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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Starter quiz

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6 Questions

Q1.
In the coordinate $$(-6,4)$$, what is the value of the $$y$$ coordinate?
Correct Answer: 4, four
Q2.
On the graph shown, which is the correct plotting of the coordinate $$(-2,2)$$?
An image in a quiz
A
Correct answer: B
C
D
Q3.
Match the coordinate to the description.
An image in a quiz
Correct Answer:A,The $$x$$ and $$y$$ coordinate are both 4
tick

The $$x$$ and $$y$$ coordinate are both 4

Correct Answer:B,The $$y$$ coordinate is 4 and the $$x$$ coordinate is 1
tick

The $$y$$ coordinate is 4 and the $$x$$ coordinate is 1

Correct Answer:C,The $$y$$ and $$x$$ values are both 1
tick

The $$y$$ and $$x$$ values are both 1

Correct Answer:D,The $$x$$ coordinate is 4 and the $$y$$ coordinate is 1
tick

The $$x$$ coordinate is 4 and the $$y$$ coordinate is 1

Q4.
Which equation represents the sentence '$$y$$ is 3 less than $$x$$'
$$y=x+3$$
$$y=3-x$$
Correct answer: $$y=x-3$$
$$y-3=x$$
$$3-y=x$$
Q5.
Which equation represents the sentence '$$x$$ is 4 lots of $$y$$'
$$y=4x$$
$$x=y+4$$
$$x=y^4$$
Correct answer: $$x=4y$$
$$x\times 4=y$$
Q6.
Match the calculation with the correct answer.
Correct Answer:$$(-2.5) + 4$$,1.5
tick

1.5

Correct Answer:$$2.5 + (-4)$$,-1.5
tick

-1.5

Correct Answer:$$(-2.5)-4$$,-6.5
tick

-6.5

Correct Answer:$$(-2.5) \times 4$$,-10
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-10

Correct Answer:$$(-2.5) \times (-4)$$,10
tick

10

Correct Answer:$$2.5-(-4)$$,6.5
tick

6.5

Exit quiz

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6 Questions

Q1.
A rule for a set of coordinates can be written as an __________.
addition
Correct answer: equation
exponential
identity
origin
Q2.
Match the equation to the coordinates that follow the rule.
Correct Answer:$$x=9$$,$$(9,0)\;(9,9)\;(9,-9)\;(9,3)$$
tick

$$(9,0)\;(9,9)\;(9,-9)\;(9,3)$$

Correct Answer:$$y=9$$,$$(9,9)\;(3,9)\;(-3,9)\;(0,9)$$
tick

$$(9,9)\;(3,9)\;(-3,9)\;(0,9)$$

Correct Answer:$$y=3x$$,$$(-3,-9)\;(0,0)\;(-1,-3)\;(3,9)$$
tick

$$(-3,-9)\;(0,0)\;(-1,-3)\;(3,9)$$

Correct Answer:$$y=x+9$$,$$(0,9)\;(-9,0)\;(3,12)\;(-3,6)$$
tick

$$(0,9)\;(-9,0)\;(3,12)\;(-3,6)$$

Correct Answer:$$y=x-9$$,$$(9,0)\;(3,-6)\;(0,-9)\;(-9,-18)$$
tick

$$(9,0)\;(3,-6)\;(0,-9)\;(-9,-18)$$

Correct Answer:$$y=-3x$$,$$(3,-9)\;(0,0)\;(5,-15)\;(-3,9)$$
tick

$$(3,-9)\;(0,0)\;(5,-15)\;(-3,9)$$

Q3.
What is the rule for the coordinates $$(0,0)\;(5,1)\;(-10,-2)\;(15,3)$$?
The $$y$$ coordinate equals the $$x$$ coordinate minus 4
The $$y$$ coordinate equals the $$x$$ coordinate multiplied by 5
Correct answer: The $$y$$ coordinate equals the $$x$$ coordinate divided by 5
Correct answer: The $$x$$ coordinate equals the $$y$$ coordinate multiplied by 5
The $$x$$ coordinate equals the $$y$$ coordinate plus 4
Q4.
Fill in the missing value in the following coordinate so it follows the rule: $$y=x + 3.5$$ $$\quad$$ $$($$ $$, 6.7)$$
Correct Answer: 3.2
Q5.
Which of these rules match the graph shown?
An image in a quiz
$$y=2$$
$$y=-x$$
$$y=2x$$
Correct answer: $$y=x$$
Q6.
Which set of coordinates will make a straight line when plotted?
$$(10,5)\;(8,3)\;(0,5)\;(4,8)$$
$$(0,0)\;(1,3)\;(-1,3)\;(6,2)$$
$$(1,1)\;(-6.2,6.2)\;(-7.1,-7.1)\;(2.5,-2.5)$$
Correct answer: $$(0,0)\;(5,2.5)\;(-10,-5)\;(8,4)$$