Features of linear relationships
I can recognise that linear relationships have particular algebraic and graphical features as a result of the constant rate of change.
Features of linear relationships
I can recognise that linear relationships have particular algebraic and graphical features as a result of the constant rate of change.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- A linear graph can be described by its features.
- All the coordinates on the line fit the relationship.
- The relationship between the coordinates can be described algebraically.
- These linear relationships have particular features.
- You can move between the algebraic statement and the graphical representation and back using coordinates.
Keywords
Linear - The relationship between two variables is linear when they change together at a constant rate and form a straight line when plotted.
Common misconception
Only equations in the form $$y=mx+c$$ are linear. All equations are linear.
There are many forms that linear equations can take, however they always share a common feature. The variables have exponents of $$1$$.
To help you plan your year 8 maths lesson on: Features of linear relationships, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 8 maths lesson on: Features of linear relationships, 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


Exit quiz
6 Questions



$$(3,12)$$ -
$$y=5x-3$$
$$(3,-12)$$ -
$$y=3-5x$$
$$(6,-3)$$ -
$$y = {1\over 3}x-5$$
$$(6,10)$$ -
$$y = {5x\over 3}$$
$$(8,1)$$ -
$$5y=x-3$$