Plotting coordinates generated from a rule using technology | Maths

Starter quiz

What coordinate has been plotted on this set of axes?

'(-3,4)' ✓
What coordinate has been plotted on this set of axes?

'(2.5,-1.5)' ✓
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.

The scale has to be the same in the positive and negative $x$ direction. ✓

The $y$ axis has to have a step of 1.

The $x$ axis can have a step of 5. ✓

The $x$ axis can increase in 1s until the number 10 then increase in 10s.
What word can we use to refer to the point where the $x$ axis and $y$ axis cross?

'origin' ✓
What rule links the coordinates plotted on the graph shown?

$y=4$

$x=4$

$x=-4$

$y=-4$ ✓

$y=-x$
These three coordinates are plotted: $(-3,-10)\;(4.5,8)\;(-3, 8)$ . What fourth coordinate would you need to plot to form a rectangle?

'(4.5,-10)' ✓

What is the coordinate of the origin?

'(0,0)' ✓
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

rectangle ✓

rhombus

kite
$Write down the coordinate which does not follow the same rule as the others on this graph. The coordinate pairs are: <Math>(-2,-11)\;(0,-5)\;(1,5)\;(4,7)\;(6.1,13.3)\;(8.5,20.5)</Math>$

Write down the coordinate which does not follow the same rule as the others on this graph. The coordinate pairs are: $(-2,-11)\;(0,-5)\;(1,5)\;(4,7)\;(6.1,13.3)\;(8.5,20.5)$

'(1,5)' ✓
$Aisha has plotted these 4 coordinates. Why do they not lie on a straight line? <Math>(1,3)\;(7,5)\;(-6,-4)\;(-2,0)</Math>$

Aisha has plotted these 4 coordinates. Why do they not lie on a straight line? $(1,3)\;(7,5)\;(-6,-4)\;(-2,0)$

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 .
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.

$y=3x-4$

$y=-2x+8$

$y=4x-10$ ✓

$y=5x+1$
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.

'(7,3)' ✓

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

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.

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