Explain why there is sometimes only one solution to a problem
I can explain why there is sometimes only one solution to a problem.
Explain why there is sometimes only one solution to a problem
I can explain why there is sometimes only one solution to a problem.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- Some problems with two unknowns have only one solution.
- If both the sum of and difference between the two unknowns are known then there will only be one solution.
- Some problems with two unknowns have many solutions.
- Some problems with two unknowns have an infinite number of solutions.
Keywords
Sum - The sum is the total when numbers are added together.
Difference - The difference is the result of subtracting one number from another. How much one number differs from another.
Common misconception
Pupils may draw bar models which are inaccurate and do not represent the problem effectively.
These types of problems lend themselves to be drawn using bar models that are lined up one on top of the other. Model creating these bar models with the pupils and explaining how you know where the numbers sit within them.
To help you plan your year 6 maths lesson on: Explain why there is sometimes only one solution to a problem, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 6 maths lesson on: Explain why there is sometimes only one solution to a problem, 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 2 maths lessons from the Solving problems with two unknowns unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Equipment
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Lesson video
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Starter quiz
6 Questions
