Myths about teaching can hold you back
- Year 9
- Year 9
Reading from graphs
I can read and interpret points from a graph to solve problems.
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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.
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Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.The relationship between two is linear if, when plotted on a pair of axes, a straight line is formed.
Q2.What is the minimum number of coordinates needed to plot the graph of $$y=5x+3$$ ?
Q3.Andeep plots the graph of the linear equation $$4x + 6y = 24$$. When $$y=0 $$ then $$y=$$ .
Q4.Laura is plotting the graph of the line $$3y + 5x=15$$. She only wants to plot two points. Which of these points would be the best points for Laura to use?
Q5.Match each pair of coordinates with the equation of the line that coordinates are on.
$$(3, 0)$$ -
$$y=2x-6$$
$$(3, 1)$$ -
$$3y=x$$
$$(3, 2)$$ -
$$x+y=5$$
$$(3, 3)$$ -
$$y=x$$
$$(3, 4)$$ -
$$2y-3x=-1$$
Q6.Jun wants to draw the graph of $$y = 0.2x + 2.2$$ for positive values of $$x$$. The coordinates of the first point on the line that has positive integer coordinates are .
Assessment exit quiz
6 Questions
Q1.The graph of a equation is called a parabola.
Q2.Use the graph of $$y =3x-4$$ to solve the equation $$3x-4=8$$. The solution is $$x=$$ .
Q3.Use the graph of $$y =7.4 x+12.95$$ to estimate the value of $$7.4\times 3+12.95$$.
Q4.How many solutions are there to the equation $$x^2+2=10$$. Use the graph of $$y=x^2+2$$ to help you.
Q5.Use the graph of $$y=\frac{1}{2} x^2+1$$ to help you solve the equation $$\frac{1}{2}x^2+1=3$$.
Q6.This parabola models the flight of a cricket ball being thrown. The cricket ball is above a height of 5 metres for a distance of metres altogether.
