Key features of a cubic graph
I can identify the key features of a cubic graph.
Key features of a cubic graph
I can identify the key features of a cubic graph.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- A cubic graph has a distinct shape.
- The roots of a cubic graph are where the graph intersects with the x-axis.
- The turning points are the local maximum and local minimum points of the graph.
Keywords
Cubic - A cubic is an equation, graph, or sequence whereby the highest exponent of the variable is 3
Roots - When drawing the graph of an equation, the roots of the equation are where its graph intercepts the x-axis (where y = 0).
Turning point - The turning point of a graph is a point on the curve where, as x increases, the y values change from decreasing to increasing or vice versa.
Common misconception
$$y=x^3$$ has one root so all cubic graphs have one root.
Make sure pupils see a wide variety of cubic graphs; ones with one root, two roots and three roots and link every one back to its equation and that the highest exponent of the variable is $$3$$ so they are all cubic graphs.
To help you plan your year 10 maths lesson on: Key features of a cubic 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 cubic 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

