Quadratic Expressions and Equations
Expanding, factorising and solving quadratics.
Active lessons
12
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
12 of 12 active
Lesson 1
Expanding Binomial Products
Expand single and double brackets using the distributive law and FOIL, and collect like terms.
Lesson 2
Factorising Algebraic Expressions
Identify the highest common factor and use it to factorise two- and three-term algebraic expressions.
Lesson 3
Algebraic Fractions
Simplify algebraic fractions by cancelling common factors, state restrictions, and multiply or divide simple algebraic fractions.
Lesson 4
Algebraic Fractions: Add and Subtract
Add and subtract algebraic fractions with unlike denominators by finding the LCM and rewriting each fraction.
Lesson 5
Factorising Quadratic Trinomials
Factorise monic quadratic trinomials of the form x² + bx + c using the product-sum method.
Lesson 6
Non-Monic Quadratic Factorising
Factorise non-monic quadratic trinomials of the form ax² + bx + c (a ≠ 1) using the AC method.
Lesson 7
Difference of Two Squares
Recognise expressions of the form a² − b² and apply the difference of two squares identity to factorise them.
Lesson 8
5F Completing the Square (Factorising)
Rewrite a quadratic x^2 + bx + c in completed-square form by halving the coefficient of x.
Lesson 9
Solving Quadratics by Factorising
Solve quadratic equations by factorising and applying the null factor law.
Lesson 10
5H Quadratic Problems
Form and solve quadratic equations from worded problems by factorising.
Lesson 11
5I Solving by Completing the Square
Solve quadratic equations by completing the square and square-rooting both sides.
Lesson 12
The Quadratic Formula
Use the quadratic formula to solve quadratic equations and interpret the discriminant.
Part of the Online Learning Package
Unit previews stay public, while individual lessons require active online learning access.