Quadratic Equations and Graphs of Parabolas
Solving quadratic equations by factorising and sketching parabolas with dilations, reflections and translations.
Active lessons
8
Status
Active
Lesson flow
Learn -> Guided Practice -> Independent Practice -> Mastery Quiz
How to use this unit
- Start from lesson 1 and move through the pathway in order.
- Use guided practice before attempting independent practice.
- Mastery quizzes check whether the skill is ready for review or extension.
Unit pathway
Lesson pathway
8 of 8 active
Lesson 1
Quadratic Equations
Solve factorised quadratic equations using the null factor law.
Lesson 2
Solving ax^2 + bx = 0 and x^2 - d = 0 by Factorising
Solve simple quadratics by common factor or square roots.
Lesson 3
Solving x^2 + bx + c = 0 by Factorising
Solve x² + bx + c = 0 by factorising into two binomials.
Lesson 4
Using Quadratic Equations to Solve Problems
Set up and solve quadratic equations from word problems.
Lesson 5
The Parabola
Recognise the basic parabola y = x²: vertex, axis of symmetry and shape.
Lesson 6
Sketching y = ax^2 with Dilations and Reflections
Sketch y = ax²: dilations (narrower/wider) and reflections (opening down).
Lesson 7
Sketching Translations of y = x^2
Sketch translations y = x² + k and y = (x − h)², reading the vertex.
Lesson 8
Sketching Parabolas Using Intercept Form
Sketch parabolas in intercept form: x-intercepts, y-intercept and axis of symmetry.
Part of the Online Learning Package
Unit previews stay public, while individual lessons require active online learning access.