Operations with algebraic fractions
I can multiply, divide, add and subtract with algebraic fractions.
Operations with algebraic fractions
I can multiply, divide, add and subtract with algebraic fractions.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- When multiplying/dividing, it can be easier to fully factorise every expression first.
- When dividing by an expression, it is equivalent to multiplying by the reciprocal of that expression.
- When adding/subtracting with algebraic fractions, a common denominator is required.
Keywords
Reciprocal - The reciprocal is the multiplicative inverse of any non-zero number. Any non-zero number multiplied by its reciprocal is equal to 1
Factorise - To factorise is to express a term as the product of its factors.
Common misconception
Trying to simplify a division calculation by identifying common factors before calculating.
Pupils need to understand why this works with multiplication questions to understand why this does not work with division. Encourage pupils to write their division as a multiplication of the reciprocal before identifying common factors.
To help you plan your year 11 maths lesson on: Operations 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: Operations 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.