Rate of change from a coordinate pair
I can calculate the rate of change (gradient) from two coordinate pairs.
Rate of change from a coordinate pair
I can calculate the rate of change (gradient) from two coordinate pairs.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- Two coordinate pairs can be plotted and joined with a line.
- The gradient of this line can be calculated.
- The gradient between two points can be calculated without drawing the line.
- The gradient between two points can be calculated without drawing the points.
- The gradient between any two points on a straight line is the gradient of the line.
Keywords
Parallel - Two lines are parallel if they are straight lines that are always the same (non-zero) distance apart.
Gradient - The gradient is a measure of how steep a line is.
Common misconception
When calculating gradient from coordinates, pupils get positive and negative gradients mixed up.
Encourage pupils to sketch the coordinates first and then always look at a positive increase in x.
To help you plan your year 8 maths lesson on: Rate of change from a coordinate pair, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 8 maths lesson on: Rate of change from a coordinate pair, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
We use learning cycles to break down learning into key concepts or ideas linked to the learning outcome. Each learning cycle features explanations with checks for understanding and practice tasks with feedback. All of this is found in our slide decks, ready for you to download and edit. The practice tasks are also available as printable worksheets and some lessons have additional materials with extra material you might need for teaching the lesson.
The assessment exit quiz will test your pupils' understanding of the key learning points.
Our video is a tool for planning, showing how other teachers might teach the lesson, offering helpful tips, modelled explanations and inspiration for your own delivery in the classroom. Plus, you can set it as homework or revision for pupils and keep their learning on track by sharing an online pupil version of this lesson.
Explore more key stage 3 maths lessons from the Graphical representations of linear equations unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
Starter quiz
6 Questions




A -Â
(3,4)
B -Â
(6,5)
C -Â
(6,1)
D -Â
(-2,1)
E -Â
(-5,3)
F -Â
(-1,2)
$$11 - (-30)$$ -Â
41
$$-11 - 30$$ -Â
-41
$$ 11 + (-30)$$ -Â
-19
$$ -11 - (-30)$$ -Â
19





Exit quiz
6 Questions



(5,6) and (6,8) -Â
$$2$$
(5,6) and (8, 15) -Â
$$3$$
(5,6) and (-3,2) -Â
$$1\over 2$$
(5,6) and (7,3) -Â
$$-{3\over 2}$$
(5,6) and (-4, 15) -Â
$$-1$$