UNIT OVERVIEW

This unit builds on the algebra you learned in earlier grades. You will develop skills to work with more complex expressions, which form the foundation for equations, inequalities, and functions later this year.

What you will learn:

• Classify real numbers as rational or irrational
• Estimate surds and round numbers correctly
• Multiply a binomial by a trinomial
• Factorise expressions using different methods: trinomials, grouping in pairs, and sum/difference of cubes
• Simplify algebraic fractions using factorisation

Why this matters:

• Financial formulas like compound interest $P(1 + r)^n$ use algebraic expressions
• Calculating areas and volumes requires manipulating expressions
• Understanding data costs (e.g., $50 + 15d$ where $d$ is data used) involves algebra
• These skills are essential for solving equations and working with functions

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