Myths about teaching can hold you back
- Year 8
Solving simple linear equations with a multiplicative step
I can solve a linear equation requiring a single multiplicative step.
- Year 8
Solving simple linear equations with a multiplicative step
I can solve a linear equation requiring a single multiplicative step.
Lesson details
Key learning points
- An equation involving an multiplicative step can be represented with a bar model.
- Using the bar model you can write all the arrangements of the equation with an multiplicative step.
- One of the arrangements will give the solution to the equation.
- This can be written algebraically to find the solution.
Keywords
Reciprocal - The reciprocal is the multiplicative inverse of any non-zero number.
Common misconception
When solving equations pupils may not use the inverse operation.
Working out should include each step then pupils can check each step using substitution.
To help you plan your year 8 maths lesson on: Solving simple linear equations with a multiplicative 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 a multiplicative 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.
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.Which of these equations can be written from this bar model?
Q2.The solution to the equation $$x + 3 = 17$$ is when $$x$$ =
Q3.The solution to the equation $$x − 8.6 = 10$$ is when $$x$$ =
Q4.Any non-zero number multiplied by its reciprocal is equal to
Q5.Match each number to its reciprocal.
$$1\over 5$$ -
$$5$$
$$−{1\over 5}$$ -
$$-5$$
$$4\over 5$$ -
$$5\over 4$$
$$−{4\over 5}$$ -
$$−{5\over 4}$$
$$5$$ -
$${1\over 5}$$
$$−5$$ -
$$−{1\over 5}$$
Q6.Match each calculation to an equivalent calculation.
$$\times {2\over 7}$$ -
$$\div {7\over 2}$$
$$\div (-{2\over 7})$$ -
$$\times( −{7\over 2})$$
$$\times (−7)$$ -
$$\div( −{1\over 7})$$
$$\times( −{1\over 7})$$ -
$$\div( −7)$$
$$\times {1\over 7}$$ -
$$\div 7$$
$$\div {1\over 7}$$ -
$$\times 7$$
Assessment exit quiz
6 Questions
Q1.Using this bar model, the solution to the equation $$6x = 30$$ is when $$x= $$
Q2.Using this bar model, the solution to the equation $${1\over 4}x = 8$$ is when $$x=$$
Q3.The solution to $$3x = 396$$ is when $$x=$$
Q4.Which of these show the correct working to isolate one positive $$x$$ for the equation $$0.5x = 3.5$$?
Q5.The solution to $$-9x = 36$$ is when $$x =$$
Q6.Which of these is the solution to $${4\over 5} x = 20$$?