Myths about teaching can hold you back
- Year 8
Solving linear equations graphically using technology
I can explore how to solve linear equations graphically via dynamic software.
- Year 8
Solving linear equations graphically using technology
I can explore how to solve linear equations graphically via dynamic software.
Lesson details
Key learning points
- A linear expression expressed on a graph represents a straight line.
- This line can be used to find one variable when given the other.
- A horizontal or vertical line represents a particular value of a variable.
- Where this meets the linear graph the solution of a linear equation.
Keywords
Equation - An equation is used to show two expressions that are equal to each other.
Solution - The solution to an equality is the value which, when substituted, maintains the equality between expressions.
Common misconception
That we always have to use written methods to solve equations.
Use Desmos to show that equations like $$3x-1=17$$ and $$3x-1=x+9$$ can be solved by drawing both lines and finding the intersection.
To help you plan your year 8 maths lesson on: Solving linear equations graphically using technology, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 8 maths lesson on: Solving linear equations graphically using technology, 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 Solving linear equations unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
Prior knowledge starter quiz
6 Questions
Q1.$$x=5$$ is the to the equation $$7x-3=32$$
Q2.Which is the solution to the equation $$16-3x=7$$?
Q3.The relationship $$y=2x+6$$ when plotted produces a graph.
Q4.Andeep plots the graph of the equation $$y=3x-10$$. What is the $$y$$ coordinate when the $$x$$ coordinate is $$-5$$?
Q5.Find the coordinates of the point where the lines $$y=5-x$$ and $$y=2x-1$$ intersect.

Q6.What is the $$x$$ coordinate of this point?

Assessment exit quiz
6 Questions
Q1.This graphical representation shows that $$x=2$$ is the to the equation $$3x-2=4$$

Q2.Use this graphical representation to solve the equation $$7-3x=-5$$

Q3.Use this graphical representation to solve the equation $$3x+1={1\over2}x-4$$

Q4.This graph shows that $$x=-2$$ is the solution to the equation $$5x+13=1-x$$ and that $$3$$ is the value of the when they are equal.

Q5.Solve $$2.7x+1=2.7x-5.4$$

Q6.Use the graphical representation to solve the equation $$3x+4=x-4$$
