Myths about teaching can hold you back
- Year 10•
- Foundation
Checking and securing understanding of drawing linear graphs
I can draw a linear graph from its equation and relate the features of the graph to its equation.
- Year 10•
- Foundation
Checking and securing understanding of drawing linear graphs
I can draw a linear graph from its equation and relate the features of the graph to its equation.
Lesson details
Key learning points
- It is possible to identify the gradient and y-intercept when the equation is written in the form y = mx + c
- Linear equations can be rearranged in order to reveal the gradient and y-intercept.
- By substituting in values for one variable, you can find a corresponding values for the other.
- These pairs of values can be plotted to give the graph of the equation.
Keywords
Linear - The relationship between two variables is linear if, when plotted on a pair of axes, a straight line is formed.
Gradient - The gradient is a measure of how steep a line is.
Intercept - An intercept is the coordinate where a line or curve meets a given axis.
Common misconception
Only two pairs of coordinates are needed to plot a linear graph.
Whilst true, this can cause issues if one pair of coordinates is calculated incorrectly. Encourage pupils to check a third point to ensure they are correct.
To help you plan your year 10 maths lesson on: Checking and securing understanding of drawing linear graphs, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 10 maths lesson on: Checking and securing understanding of drawing linear 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 4 maths lessons from the Linear graphs unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.Match each point to its correct coordinates.

A -
(4, -2)
B -
(2, -4)
C -
(-2, -4)
D -
(-4, -2)
E -
(-4, 2)
F -
(-2, 4)
Q2.In algebra, when you replace variables with values you call this ...
Q3.This is a table of values for a linear equation, but there is an error. Which value is the error?

Q4.You are given the linear equation $$y=3x +4$$. When $$x=2$$, $$y$$ is .
Q5.You are given the linear rule $$y= 5 - 2x $$. When $$x=-4$$, $$y$$ is .
Q6.Which of these could represent an $$x$$-intercept?
Assessment exit quiz
6 Questions
Q1.Which of these is the $$x$$-intercept of the line $$2x + 3y = 6$$?
Q2.Which of these is the $$y$$-intercept of the line $$2x + 3y = 6$$?
Q3.Which of these coordinates are on the line with equation $$y = 10-3x$$?
Q4.Which of these is the correct graph for the line with equation $$2x + y = 8$$? Each square represents 1 unit on each axis.




Q5.Match each equation of a line to its key features.
$$y = 10-8x$$ -
gradient -8 and $$y$$-intercept (0, 10)
$$y = 8x + 10 $$ -
gradient 8 and $$y$$-intercept (0, 10)
$$y =10x - 8 $$ -
gradient 10 and $$y$$-intercept (0, -8)
$$y = 8 - 10x $$ -
gradient -10 and $$y$$-intercept (0, 8)
$$y =8x - 10 $$ -
gradient 8 and $$y$$-intercept (0, -10)