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

Plotting coordinates generated from a rule using technology

Maths

In this unit, pupils extend their knowledge of plotting coordinates from KS2 by now plotting non-integer values. Pupils learn that a set of points can satisfy a relationship and this understanding is built on in the sequences unit

In this unit, pupils learnt how to plot coordinates in all four quadrants via plotting positions and then shapes

Plotting coordinates

Plot these 4 coordinates on Desmos. What shape do they form? $$(2.5,-4)\;(7,-2.2)\;(10.6,-11.2)\;(6.1,-13)$$

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

They do not have the same $$x$$ coordinate.

They do not have the same $$y$$ coordinate.

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

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.

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.

What coordinate has been plotted on this set of axes?

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 $$x$$ axis can increase in 1s until the number 10 then increase in 10s.

Which of these statements about the scale on a set of axes are true?

What word can we use to refer to the point where the $$x$$ axis and $$y$$ axis cross?

What rule links the coordinates plotted on the graph shown?

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

Starter Quiz