Myths about teaching can hold you back
- Year 8
Solving simple linear equations with an additive step
I can solve a linear equation requiring a single additive step.
- Year 8
Solving simple linear equations with an additive step
I can solve a linear equation requiring a single additive step.
Lesson details
Key learning points
- An equation involving an additive step can be represented with a bar model.
- Using the bar model you can write all the arrangements of the equation with an additive step.
- One of the arrangements will give the solution to the equation.
- This can be written algebraically to find the solution.
Keywords
Additive inverse - The additive inverse of a number is a number that, when added to the original number, gives the sum of 0
Common misconception
When solving x - 5 = 10 pupils may see the -5 and calculate 10 - 5 = 5
Focus on understanding zero pairs and why adding the additive inverse gives the solution. Bar models are a helpful representation here.
To help you plan your year 8 maths lesson on: Solving simple linear equations with an additive step, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 8 maths lesson on: Solving simple linear equations with an additive step, 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.
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Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.Which equations are represented by this bar model?
Q2.Which equations are represented by this bar model?
Q3.Match each value with its additive inverse.
$$3$$ -
$$−3$$
$$-3$$ -
$$3$$
$$1\over 3$$ -
$$−{1\over 3}$$
$$−{1\over 3}$$ -
$$1\over 3$$
$$0.3$$ -
$$−0.3$$
$$10\over 3$$ -
$$−{10\over 3}$$
Q4.Which of these are zero pairs?
Q5.What is the value of the expression $$2(3x + 5)$$ when $$x = −3$$ ?
Q6.The diagram shows a balanced scale on the left. When an operation is performed to the RHS, it is not balanced. What operation must be performed to the LHS to maintain equality?
Assessment exit quiz
6 Questions
Q1.What is the value of the unknown in this bar model? $$x=$$
Q2.Which best describes the mistake that has been made when solving the equation below?
Q3.The solution to the equation $$x − 5 = 15$$ is when $$x$$ =
Q4.Which of these shows the correct working to solve the equation $$x + 3.8 = 2.3$$ in one additive step?
Q5.The solution to the equation $$x + 7.2 = 14.6$$ is when $$x$$ =
Q6.Which of these is the solution to the equation $$x − {2\over 3} = {5\over 6}$$ ?