Myths about teaching can hold you back
- Year 8
Problem solving with linear equations
I can use my knowledge of solving linear equations to solve problems.
- Year 8
Problem solving with linear equations
I can use my knowledge of solving linear equations to solve problems.
Lesson details
Key learning points
- Problems in context can be expressed algebraically as equations.
- These equations can be solved.
- The solution can be interpreted in context.
- Real life problems can be solved using linear equations.
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 the expressions.
Common misconception
That algebra, in particular solving equations, is abstract and not related to the world around us.
Ask pupils to solve $$4(x+3)=20$$. Then show a square with length $$x+3$$, tell them the perimeter is $$20$$ and ask them to find $$x$$.
To help you plan your year 8 maths lesson on: Problem solving with linear equations, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 8 maths lesson on: Problem solving with linear equations, 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.$$4(7x-13)$$ is an for the perimeter of this square.

Q2.Evaluate $$2(3x-4)+2(5x+9)$$ when $$x=6$$. The value of the expression is .
Q3.Expand and simplify $$2(6x-4)+2(x-7)$$.
Q4.The solution to the equation $$4(7x-3)=128$$ is $$x=$$ .
Q5.Solve $$4x+7=8x-9$$.
Q6.Laura thinks of a number. She multiplies it by 8 and subtracts 12. Her answer is 60. Laura's number is .
Assessment exit quiz
6 Questions
Q1.The perimeter of this square is $$80$$ units. You can find the value of $$x$$ using the $$4(7x-8)=80$$.

Q2.The perimeter of this square is $$80$$ units. What is the value of $$x$$? $$x=$$ .

Q3.Find the perimeter of this square. $$P=$$ .
