Representing a generalised number
I can use a letter to represent a generalised number.
Representing a generalised number
I can use a letter to represent a generalised number.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- A letter can be used to represent an unknown number in context.
- A letter can be used to represent a variable number in context.
- A letter can be used in an expression to represent a number in an expression.
- A bar model can be used to represent an expression.
Keywords
Unknown - An unknown is a quantity that has a set value but it is represented by a symbol or letter.
Variable - A variable is a quantity that can take on a range of values.
Common misconception
Pupils often think a=1 b=2 ... or that a letter represents an object
Letters represent a numerical value either unknown or variable. Avoid always using the first letter of the words used in a scenario.
To help you plan your year 7 maths lesson on: Representing a generalised number, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 7 maths lesson on: Representing a generalised number, 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 3 maths lessons from the Expressions and equations unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
Starter quiz
6 Questions












Exit quiz
6 Questions
equation -
a mathematical statement showing one thing equal to another
generalised rule -
a statement that applies to all relevant cases in a scenario
unknown -
a quantity that has a set value, represented by a letter
variable -
a quantity that has a range of values.
