Problem solving with algebraic ratios
I can use my knowledge of ratio to solve problems.
Problem solving with algebraic ratios
I can use my knowledge of ratio to solve problems.
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Lesson details
Key learning points
- It is important to preserve the relationship between the parts of a ratio.
- There is a functional relationship between the quantities in a ratio.
- This relationship can be represented algebraically.
Keywords
Ratio - A ratio shows the relative sizes of two or more values and allows you to compare a part with another part in a whole.
Coordinates - Coordinates are a set of values that show an exact position.
Expression - An expression contains one or more terms, where each term is separated by an operator.
Probability - The probability that an event will occur is the proportion of times the event is expected to happen in a suitably large experiment.
Common misconception
Procedural understanding of sharing in a ratio where pupils add the parts, divide the amount by this and then multiply by each part without considering the information in the question.
In the lesson encourage pupils to look for keywords in the question which indicate if the amount given is the total, one part or the difference. The use of a bar model to display the information can also be used to help pupils.
To help you plan your year 10 maths lesson on: Problem solving with algebraic ratios, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 10 maths lesson on: Problem solving with algebraic 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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Starter quiz
6 Questions
Exit quiz
6 Questions
