Defining function notation
I can define function notation.
Defining function notation
I can define function notation.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- There is a shorthand for writing a function.
- The notation means that the whole function does not need to be written out each time.
- The notation should always be defined at the start.
- It is possible to substitute the notation for the function it represents.
Keywords
Function - A function is a mathematical relationship that uniquely maps values of one set to the values of another set.
Domain - The domain of a function is the set of values that the mapping is performed on.
Range - The range of a function is the set of values mapped to by the function and the stated domain.
Common misconception
Pupils may confuse the domain and the range.
Drawing the graph of the function and labelling the axes correctly will help pupils connect domain and range.
To help you plan your year 11 maths lesson on: Defining function notation, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 11 maths lesson on: Defining function notation, 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.
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Explore more key stage 4 maths lessons from the Functions and proof unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
Starter quiz
6 Questions
$$3x+7$$ -
$$x$$ is multiplied by $$3$$ then $$7$$ is added.
$$3(x+7)$$ -
$$7$$ is added to $$x$$ then the sum is multiplied by $$3$$
$$3x-7$$ -
$$x$$ is multiplied by $$3$$ then $$7$$ subtracted
$$7-3x$$ -
$$x$$ is multiplied by $$3$$ then subtracted from $$7$$
$$7(3-x)$$ -
$$x$$ is subtracted from $$3$$, then the result is multiplied by $$7$$
$$7(x-3)$$ -
$$3$$ is subtracted from $$x$$, then the result is multiplied by $$7$$