Myths about teaching can hold you back
- Year 10•
- Foundation
- Year 10•
- Foundation
Key features of a quadratic graph
I can identify the key features of a quadratic graph.
Lesson details
Key learning points
- A quadratic graph is a parabola.
- The roots of a quadratic graph are where the graph intersects with the x-axis.
- The turning point is the maximum or minimum point of the graph.
- The coordinates of the turning point can be found by completing the square.
Keywords
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
Parabolas are 'upwards' or 'downwards'.
Encourage use of language such as "The turning point of this parabola is a maximum/minimum value" and "As the absolute values of $$x$$ increase, the $$y$$ values decrease/increase".
To help you plan your year 10 maths lesson on: Key features of a quadratic 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 quadratic 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
Prior knowledge starter quiz
6 Questions
Q1.What shape is the graph of the equation $$y = 6x^2-3x+9$$?
Q2.What is the $$y$$-intercept of this linear graph?

Q3.Which of these are key features of the graph of the equation $$3x+y=6$$?

Q4.Factorise $$x^2-8x+7$$.
Q5.Factorise $$x^2-8x+16$$.
Q6.Expand and simplify $$(x+5)^2-10$$
Assessment exit quiz
6 Questions
Q1.$$x=-2$$ and $$x=3$$ are __________ of the equation shown in this graph.

Q2.(3, 1) is the __________ of this quadratic graph.

Q3.What are the roots of this equation?

Q4.What is the turning point of this graph?
