Reading from graphs
I can read and interpret points from a graph to solve problems.
Reading from graphs
I can read and interpret points from a graph to solve problems.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- If you have one value, you can use a linear graph to find its pair.
- The pair of values will satisfy the linear equation.
- If the x and y variables have context, then their values can be interpreted within that context.
- With quadratic graphs, there may be more than one value to find.
Keywords
Linear - The relationship between two variables is linear if, when plotted on a pair of axes, a straight line is formed.
Quadratic - A quadratic is a an equation, graph, or sequence whereby the highest exponent of the variable is 2.
Parabola - A parabola is a curve where any point on the curve is an equal distance from a fixed point (the focus) and a fixed straight line (the directrix).
Common misconception
Since linear equations (typically) have one solution, all equations have one solution.
Ask pupils to compare the graphical solution to a linear equation with the graphical solution to a quadratic equation. This will enable them to see that it is possible for a quadratic equation to have more than one solution.
To help you plan your year 9 maths lesson on: Reading from graphs, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 9 maths lesson on: Reading from graphs, 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 unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
Starter quiz
6 Questions
$$(3, 0)$$ -
$$y=2x-6$$
$$(3, 1)$$ -
$$3y=x$$
$$(3, 2)$$ -
$$x+y=5$$
$$(3, 3)$$ -
$$y=x$$
$$(3, 4)$$ -
$$2y-3x=-1$$
Exit quiz
6 Questions




