Myths about teaching can hold you back
- Year 8
Positive rate of change from a graph
I can calculate the positive rate of change (gradient) from a graph.
- Year 8
Positive rate of change from a graph
I can calculate the positive rate of change (gradient) from a graph.
Lesson details
Key learning points
- Graphs can be described by looking at how quickly they rise.
- The amount y changes when x increases by one is the rate of change and is called the gradient.
- The gradient will be positive if y increases as the graph moves to the right.
- The gradient can be found from any linear graph.
- The gradient tells you important information about the relationship.
Keywords
Gradient - The gradient is a measure of how steep a line is.
Common misconception
Pupils count squares to calculate gradient instead of looking at scales.
Encourage pupils to pick points on the graph to use to find the gradient and write down the coordinates rather than count squares.
To help you plan your year 8 maths lesson on: Positive rate of change from a graph, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 8 maths lesson on: Positive rate of change from a graph, 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
Prior knowledge starter quiz
6 Questions
Q1.The coordinate (0,0) can also be called the .
Q2.What is the step on the $$x$$ axis of this graph?

Q3.What is the missing number in this table of values for the equation $$y=5x-3$$ ?

Q4.A drink is made from 3 litres of juice and 9 litres of soda. Use the ratio table to work out the amount of soda needed for 1 litre of juice.

Q5.What is the missing value in this ratio table?

Q6.A table of values is shown for the relationship $$y = 11 - 3x$$. Which of these is true for this relationship?

Assessment exit quiz
6 Questions
Q1.Which of these best describes the gradient?
Q2.Which of these lines have a positive gradient?

Q3.The gradient of this line is .

Q4.Match the lines labelled A, B, C, D with the correct gradient.

A (green) -Â
1
B (pink) -Â
$$1\over 2$$
C (blue) -Â
4
D (purple) -Â
3
Q5.What is the gradient of this line?

Q6.What is the gradient of this line?
