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Year 7

Plotting coordinates generated from a rule using technology

I can use technology to quickly represent a set of coordinates graphically.

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New
New
Year 7

Plotting coordinates generated from a rule using technology

I can use technology to quickly represent a set of coordinates graphically.

Download all resources
arrow-right
Share activities with pupils
arrow-right

Lesson details

Key learning points

  1. Coordinates can be entered onto Desmos and they will be plotted.
  2. A rule can be entered in Desmos to generate coordinates.
  3. It is possible to spot coordinates that are not following the rule easily using Desmos.
  4. Desmos can be used to create mathematical shapes and pictures using coordinates.

Keywords

  • Origin - The origin is where the $$x$$-axis and $$y$$-axis cross. It has the coordinate pair (0,0).

Common misconception

Pupils may think that coordinates that make a square/ rectangle follow a linear pattern.

In order for coordinates to follow a rule written as an equation, there needs to be a relationship between the values within a coordinate.

Plan ahead so pupils can have access to technology for this lesson. Allow time to explore Desmos freely so pupils are confident using it for future graph work.
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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Starter quiz

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6 Questions

Q1.
What coordinate has been plotted on this set of axes?
An image in a quiz
Correct Answer: (-3,4)
Q2.
What coordinate has been plotted on this set of axes?
An image in a quiz
Correct Answer: (2.5,-1.5)
Q3.
Which of these statements about the scale on a set of axes are true?
The $$x$$ axis and the $$y$$ axis have to have the same scale as each other.
Correct answer: The scale has to be the same in the positive and negative $$x$$ direction.
The $$y$$ axis has to have a step of 1.
Correct answer: The $$x$$ axis can have a step of 5.
The $$x$$ axis can increase in 1s until the number 10 then increase in 10s.
Q4.
What word can we use to refer to the point where the $$x$$ axis and $$y$$ axis cross?
Correct Answer: origin, the origin
Q5.
What rule links the coordinates plotted on the graph shown?
An image in a quiz
$$y=4$$
$$x=4$$
$$x=-4$$
Correct answer: $$y=-4$$
$$y=-x$$
Q6.
These three coordinates are plotted: $$(-3,-10)\;(4.5,8)\;(-3, 8)$$. What fourth coordinate would you need to plot to form a rectangle?
Correct Answer: (4.5,-10)

Exit quiz

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6 Questions

Q1.
What is the coordinate of the origin?
Correct Answer: (0,0)
Q2.
Plot these 4 coordinates on Desmos. What shape do they form? $$(2.5,-4)\;(7,-2.2)\;(10.6,-11.2)\;(6.1,-13)$$
square
Correct answer: rectangle
rhombus
kite
Q3.
Write down the coordinate which does not follow the same rule as the others on this graph. The coordinate pairs are: $$(-2,-11)\;(0,-5)\;(1,5)\;(4,7)\;(6.1,13.3)\;(8.5,20.5)$$
An image in a quiz
Correct Answer: (1,5)
Q4.
Aisha has plotted these 4 coordinates. Why do they not lie on a straight line? $$(1,3)\;(7,5)\;(-6,-4)\;(-2,0)$$
An image in a quiz
Correct answer: They do not follow the same rule.
They do not have the same $$x$$ coordinate.
She has plotted them wrong.
They do not have the same $$y$$ coordinate.
The $$y$$ axis has been stretched .
Q5.
What is the rule which links the coordinates: $$(6,14)\;(-2,-18)\;(-5,-30)\;(-11,-54)$$? Plot the coordinates and the lines in Desmos to help you.
$$y=3x-4$$
$$y=-2x+8$$
Correct answer: $$y=4x-10$$
$$y=5x+1$$
Q6.
These three coordinates are plotted: $$(3,5)\;(5,9)\;(9,7)$$. What are the coordinates of the 4th point needed to form a square? Plot them on Desmos to help you.
Correct Answer: (7,3)