Advanced problem solving with algebraic manipulation
I can use my knowledge of algebraic manipulation to solve problems.
Advanced problem solving with algebraic manipulation
I can use my knowledge of algebraic manipulation to solve problems.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- Quadratic equations can model real-life situations.
- Solutions would need to be interpreted in context.
- The difference of two squares is not only used in algebra, but can be used to quickly calculate numerical expressions.
- Where there is a choice of method, you will decide the most efficient method to use.
Keywords
Partial product - A partial product refers to any of the multiplication results that lead up to an overall multiplication result.
Binomial - A binomial is an algebraic expression representing the sum or difference of exactly two unlike terms.
Factorise - To factorise is to express a term as the product of its factors.
Solution (equality) - A solution to an equality with one variable is a value for the variable which, when substituted, maintains the equality between the expressions.
Common misconception
Including solutions which are not valid in the context of the question.
Pupils should finish every problem by substituting their solutions back into the original problem. This will help them check their answers but also make them think about whether their solutions are valid in context.
To help you plan your year 10 maths lesson on: Advanced problem solving with algebraic manipulation, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 10 maths lesson on: Advanced problem solving with algebraic manipulation, 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 Algebraic manipulation 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