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- Year 10•
- Foundation
Checking and securing understanding of simplifying and unitising ratios
I can simplify a ratio, including expressing a ratio in unitary form.
- Year 10•
- Foundation
Checking and securing understanding of simplifying and unitising ratios
I can simplify a ratio, including expressing a ratio in unitary form.
Lesson details
Key learning points
- There are infinitely many equivalent ratios.
- A ratio is in its simplest form if the HCF of all the parts is one and all parts are integers.
- A ratio is in unitary form if one of the parts is equal to one.
- A ratio in unitary form may not be a simplified ratio.
Keywords
Unitary ratio - A unitary ratio is any ratio where one part of the ratio is 1
Common misconception
Not simplifying the ratio completely or over-simplifying a three part ratio when two of the parts share a further common factor
Link two part ratios back to simplifying fractions and remind pupils to consider if either number is a multiple of 3 as this is often missed. Remind pupils that to simplify a ratio, every part must share the common factor you are dividing by.
To help you plan your year 10 maths lesson on: Checking and securing understanding of simplifying and unitising ratios, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 10 maths lesson on: Checking and securing understanding of simplifying and unitising ratios, 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 4 maths lessons from the Ratio 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 are equivalent to $$\frac{6}{18}$$?
Q2.Select the correct ratio of shaded to unshaded squares shown on this diagram.
Q3.Select which of these show $$\frac{6}{18}$$ written in its simplest form.
Q4.Which of these shows the ratio of circles to triangles?
Q5.Write the ratio of circles to triangles.
Q6.Write the ratio of triangles to circles.
Assessment exit quiz
6 Questions
Q1.What is the ratio of triangles to circles in its simplest form?
Q2.Select the ratio of shaded to unshaded squares written in its simplest form
Q3.Write the ratio 30 : 36 in its simplest form
Q4.Which of these are unitary ratios?
Q5.Write the ratio of triangles to circles in the form $$1 : n$$ where $$n$$ is a decimal.
Q6.A travel company offer for every £10 you get $16.
Write the ratio of £ to $ in the form 1 : $$n$$