Myths about teaching can hold you back
- Year 9
- Year 9
Efficiently drawing linear graphs
I can draw a linear graph efficiently and accurately.
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Lesson details
Key learning points
- By choosing pairs of values that satisfy the equation, you can draw it accurately.
- For linear graphs, only two pairs of coordinates are required.
- The distance between the points should not be too small.
Keywords
Linear - The relationship between two variables is linear if, when plotted on a pair of axes, a straight line is formed.
Common misconception
A table of values should always be filled in and all points plotted in order to graph a linear equation.
A linear equation will form a straight line graph therefore we only need to know two points in order to draw the line.
To help you plan your year 9 maths lesson on: Efficiently drawing linear graphs, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 9 maths lesson on: Efficiently 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 3 maths lessons from the Graphical representations unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
Prior knowledge starter quiz
6 Questions
Q1.The $$$$- is the point where a line or curve meets the $$y$$-axis.
Q2.Which of these graphs will form straight line when plotted?
Q3.Identify the linear graphs with a gradient of 4.
Q4.These are all linear equations which give straight line graphs. Match each linear equation with another equation to form a pair of parallel lines.
$$y=5x+2$$ -
$$y=2+5x$$
$$y=5-2x$$ -
$$y=-2x+5$$
$$y=2x$$ -
$$y=2x+5$$
$$y=x-5$$ -
$$y=x-2$$
$$y=2-x$$ -
$$y=-x-5$$
Q5.What features of the graph of $$y=5-7x$$ can be found just by looking at the equation?
Q6.Which of these equations could this sketch represent?

Assessment exit quiz
6 Questions
Q1.The relationship between two variables is if, when plotted on a pair of axes, a straight line is formed.
Q2.The minimum number of coordinates needed to plot the graph of a linear equation is
Q3.Aisha is plotting the graph of the line $$y=2x+1$$. She only wants to plot two points. The first point Aisha plots is (0, 1). Which of these points would be the best second point for Aisha to use?
Q4.Sam plots the graph of the linear equation $$4x + 6y = 24$$. When $$x=0 $$ then $$y=$$ .
Q5.Match each pair of coordinates with the equation of the line that coordinates are on.
$$(2, 3)$$ -
$$x+y=5$$
$$(2, 4)$$ -
$$2y-x=6$$
$$(2, 1)$$ -
$$y+2x=5$$
$$(2, 5)$$ -
$$y-2x=1$$
$$(2, 2)$$ -
$$2y+x=6$$