Teaching resource · GCSE's · PDF
The Quadratic Formula and Graphs
Summary Students recap key quadratic vocabulary and the standard form ax² + bx + c = 0 before identifying the coefficients a, b and c. They practise substituting values into the quadratic formula, interpret the discriminant, and explore how the coefficient of x² affects the orientation of a graph. T
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What this is
The Quadratic Formula and Graphs
Description
A Year 11 lesson exploring how to solve quadratic equations that do not factorise easily using the quadratic formula, while connecting algebraic solutions to the features and shape of parabolas.
Summary
Students recap key quadratic vocabulary and the standard form ax² + bx + c = 0 before identifying the coefficients a, b and c. They practise substituting values into the quadratic formula, interpret the discriminant, and explore how the coefficient of x² affects the orientation of a graph. The lesson concludes with graph-sketching and application challenges.
What you get
Clear explanation of the quadratic formula
Vocabulary practice covering key quadratic terms
Retrieval questions on factorisation and standard form
Step-by-step worked example
Practice identifying a, b and c
Explanation of the discriminant and its meaning
Parabola anatomy: roots, vertex and y-intercept
Comparison of positive and negative values of a
Interactive ordering, true-or-false and fill-in-the-blank activities
A final sketching challenge using a quadratic graph
Content suitable for Year 11 students in England
What you get
Clear explanation of the quadratic formula
Vocabulary practice covering key quadratic terms
Retrieval questions on factorisation and standard form
Step-by-step worked example
Practice identifying a, b and c
Explanation of the discriminant and its meaning
Parabola anatomy: roots, vertex and y-intercept
Comparison of positive and negative values of a
Interactive ordering, true-or-false and fill-in-the-blank activities
A final sketching challenge using a quadratic graph
Content suitable for Year 11 students in England
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