Myths about teaching can hold you back
- Year 7
Problem solving with fractions and ratios
I can use my knowledge of fractions and ratios to solve problems.
- Year 7
Problem solving with fractions and ratios
I can use my knowledge of fractions and ratios to solve problems.
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Lesson details
Key learning points
- Any fraction can be turned into a ratio.
- Moving between fractions and ratios can make a problem easier.
- There can be lots of information, it is important to think about what is required to solve the problem.
Keywords
Proportion - Proportionality means when variables are in proportion if they have a constant multiplicative relationship.
Ratio - A ratio shows the relative sizes of 2 or more values and allows you to compare a part with another part in a whole.
Common misconception
Always dividing the amount by the sum of the 'parts' of the ratio to get one 'part'.
Offer opportunities to match problems to bar models ensure the same numbers are used to highlight the differences.
To help you plan your year 7 maths lesson on: Problem solving with fractions and ratios, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 7 maths lesson on: Problem solving with fractions and 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 3 maths lessons from the Understanding multiplicative relationships: fractions and ratio unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
Prior knowledge starter quiz
6 Questions
Q1.In this list of common metric units of length which one is missing? millimetre, centimetre, metre, .
Q2.1 km = 1000 m, 1 m = 100 cm. What is 5 400 000 cm in kilometres?
Q3.The scale on a map is 1:5 000 000. The distance between two places on the map is 5 cm. What is the distance in real life in kilometres?
Q4.The scale on a map is 1:500 000. The distance between two places is 86 km. What is the distance on the map?
Q5.The length of a pencil is 2.5 inches. Convert this into centimetres given that 1 inch = 2.54 cm.
Q6.The distance between London and Manchester is 200 miles. Convert this into kilometres given that 5 miles = 8 km.
Assessment exit quiz
6 Questions
Q1.Fill in the missing word: Variables are in proportion if they have a multiplicative relationship.
Q2.Select the bar model that is correctly labelled to solve this problem: Sam and Jacob share some stickers in the ratio of 3 : 7. Sam get 168 less than Jacob. How many stickers does Sam get?


