Myths about teaching can hold you back
- Year 8
Many equations, one solution
I can understand that a family of linear equations can all have the same solution.
- Year 8
Many equations, one solution
I can understand that a family of linear equations can all have the same solution.
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Lesson details
Key learning points
- Starting from a single value for a variable you can write equations that are equivalent.
- A solution to a linear equation is a value that makes the two sides equal .
- All the equivalent equations will have the same solution.
Keywords
Solution - A solution to an equality with one variable is a value which, when substituted, maintains the equality between the expressions.
Equation - An equation is used to show two expressions that are equal to each other.
Common misconception
Pupils may think a value has to be added to each term in an expression.
When adding a term to an expression we can write it as a single addition and then collect like terms if necessary. Show with numbers first
To help you plan your year 8 maths lesson on: Many equations, one solution, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 8 maths lesson on: Many equations, one solution, 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
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.This bar model represents the initial equation $$2x + 3 = 9$$. What needs to be done to the top bar to maintain equality?
Q2.Which of these calculations show '6 plus 3 all multiplied by 2'?
Q3.Lucas manipulates the equation $$2x + 8 = 6$$. Which of these equations could he obtain and maintain equality?
Q4.Which expression could fill the blank on the right hand side of this equation to maintain equality?
Q5.Which of these equations has a solution of $$x = 6$$?
Q6.Which of these is a solution to the equation $$18 − 6x = 12 − 4x$$?
Assessment exit quiz
6 Questions
Q1.Which of these equations are equivalent to $$x = 5$$?
Q2.If $$8x + 4 = 12$$, which of these equations has maintained equality?
Q3.Which of these equations are equivalent to $$12x + 2 = 8x − 6$$?
Q4.Which of these is a solution to the equation $$5x − 5 = 9 − 2x$$?
Q5.What operation is missing from this diagram?
Q6.What operation is missing from this diagram?
