Solving equations with algebraic fractions
I can manipulate and solve equations involving algebraic fractions.
Solving equations with algebraic fractions
I can manipulate and solve equations involving algebraic fractions.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- Before performing any operation, equivalent fractions should be considered.
- Algebraic fractions follow the same rules as fractions.
- It is important to maintain equivalence between two algebraic statements.
- Multiplying both connected statements by the reciprocal can simplify.
Keywords
Factorise - To factorise is to express a term as the product of its factors.
Quadratic formula - The quadratic formula is a formula for finding the solutions to any quadratic equation of the form $$ax^2 + bx + c = 0$$
Common misconception
Assuming that 'cross multiplying' is always the best way to solve equations with fractions on both sides.
Examples are included in the lesson where this results in unnecessary quadratic equations. Factorising and looking for common factors allows pupils to spot efficient methods. This also links with fraction skills of finding a common denominator.
To help you plan your year 11 maths lesson on: Solving equations with algebraic fractions, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 11 maths lesson on: Solving equations with algebraic fractions, 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 fractions unit, dive into the full secondary maths curriculum, or learn more about lesson planning.