Key features of an exponential graph
I can identify the key features of an exponential graph.
Key features of an exponential graph
I can identify the key features of an exponential graph.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- A exponential graph has a distinct shape.
- An exponential graph has one asymptote.
- The laws of indices explain where this asymptote is.
Keywords
Exponential - The general form for an exponential equation is y = ab^x where a is the coefficient, b is the base and x is the exponent.
Asymptote - An asymptote is a line that a curve approaches but never touches.
Common misconception
$$y=b^x$$ will reach zero; the curve will touch the $$x$$ axis eventually.
Get pupils to input large absolute $$x$$ values to appreciate that no matter how small the $$y$$ value it is still a fraction greater than zero.
To help you plan your year 10 maths lesson on: Key features of an exponential 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 an exponential 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
Starter quiz
6 Questions


Exit quiz
6 Questions
$$y=2^x-3$$ -
$$y=-3$$
$$y=3^x-2$$ -
$$y=-2$$
$$y=2-3^x$$ -
$$y=2$$
$$y=2^x+3$$ -
$$y=3$$
