Key features of a reciprocal graph
I can identify the key features of a reciprocal graph.
Key features of a reciprocal graph
I can identify the key features of a reciprocal graph.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- A reciprocal graph has a distinct shape.
- A reciprocal graph has two asymptotes.
- Reciprocal graphs of the form y = k/x have the axes as their asymptotes.
Keywords
Asymptote - An asymptote is a line that a curve approaches but never touches.
Common misconception
All reciprocal graphs appear only in two quadrants and have both axes as asymptotes.
Show pupils the graphs of the $$y={1\\over{x}}$$, then $$y={1\\over{x}}+1$$, then $$y={1\\over{x+1}}$$ and get them to compare which forms have which axes as asymptotes.
To help you plan your year 10 maths lesson on: Key features of a reciprocal graph, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 10 maths lesson on: Key features of a reciprocal graph, 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 Non-linear graphs 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
$$y=\frac{2}{x}$$ -
$$x$$-axis
$$y=\frac{3}{x}+2$$ -
$$y=2$$
$$y=\frac{2}{x}+3$$ -
$$y=3$$
$$y=\frac{3}{x}-2$$ -
$$y=-2$$
$$y=-\frac{2}{x}-3$$ -
$$y=-3$$
