Quadratic Expressions and Algebraic Techniques
Expanding binomial products, factorising quadratics, and operating with algebraic fractions.
Active lessons
11
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
11 of 11 active
Lesson 1
Expanding Binomial Products
Expand products of two binomials and collect like terms.
Lesson 2
Perfect Squares and Difference of Two Squares
Expand perfect squares and difference-of-squares products.
Lesson 3
Factorising Algebraic Expressions
Factorise by taking out the highest common factor.
Lesson 4
Factorising the Difference of Two Squares
Factorise a difference of two squares a² − b² = (a + b)(a − b).
Lesson 5
Factorising by Grouping in Pairs
Factorise four-term expressions by grouping in pairs.
Lesson 6
Factorising Monic Quadratic Trinomials
Factorise x² + bx + c into two binomials.
Lesson 7
Factorising Non-Monic Quadratic Trinomials
Factorise ax² + bx + c using the product ac.
Lesson 8
Simplifying Algebraic Fractions: Multiplication and Division
Multiply and divide algebraic fractions by cancelling and using reciprocals.
Lesson 9
Simplifying Algebraic Fractions: Addition and Subtraction
Add and subtract algebraic fractions with numeric denominators.
Lesson 10
Further Addition and Subtraction of Algebraic Fractions
Add and subtract algebraic fractions with the variable in the denominator.
Lesson 11
Equations Involving Algebraic Fractions
Solve linear equations involving algebraic fractions by clearing denominators.
Part of the Online Learning Package
Unit previews stay public, while individual lessons require active online learning access.