Year 10 Mathematics – Term 4 (WA Curriculum): Advanced Algebra, Functions and Geometric Applications

What this unit covers

In Term 4, Year 10 Mathematics in the WA Curriculum centres on the unit “Advanced Algebra, Functions and Geometric Applications”.

This unit develops advanced algebraic skills including inequalities, index laws, quadratic and exponential functions, while applying trigonometry and geometry to real-world measurement problems.

Lesson sequence (30 lessons)

The unit breaks down into the following lesson-by-lesson sequence — each title below is a teachable lesson, in order:

1. Expressing Real Number Inequalities in Multiple Forms
2. Representing Inequalities on Number Lines
3. Converting Between Worded and Algebraic Inequalities
4. Understanding Absolute Error in Mathematical Calculations
5. Calculating Percentage Error Using Approximate Values
6. Comparing Exact and Approximate Results in Real Contexts
7. Extending Index Laws to Negative Integer Indices
8. Applying Index Laws with Variable Bases
9. Simplifying Expressions with Negative Indices
10. Substituting Values into Linear Formulas for Real-Life Problems
11. Working with Quadratic Formulas in Applied Contexts
12. Solving Problems Using Simple Exponential Formulas
13. Expanding Binomial Products to Understand Factorisation
14. Factorising Monic Quadratic Expressions
15. Connecting Expansion and Factorisation Processes
16. Solving Linear Inequalities Algebraically
17. Representing Inequality Solutions on Number Lines
18. Verifying Inequality Solutions by Substitution
19. Solving Systems of Linear Equations Graphically
20. Finding Intersection Points of Linear Functions
21. Exploring Quadratic Functions and Their Graphs
22. Solving Simple Quadratic Equations of the Form ax² + c = k
23. Investigating Exponential Function Characteristics
24. Distinguishing Between Linear, Quadratic and Exponential Functions
25. Calculating Income Tax Using Tax Tables
26. Developing the Compound Interest Formula from Simple Interest
27. Solving Real-World Financial Problems
28. Applying Trigonometry to Angles of Elevation and Depression
29. Working with Similar Triangles and Scale Factors
30. Investigating Effects of Enlargement on Perimeter and Area

Curriculum codes in this unit

Content codes:

Reading the codes: WA codes (the ones starting with WA) pack the year level, learning area, strand and content number into one string, while the national Australian Curriculum v9 uses a different anatomy that starts with AC9 — same content family, different labels. Our complete WA Curriculum guide decodes both, character by character.

Planning notes for Term 4

WA terms run roughly 9–11 weeks, and in 2026 Term 4 runs from Monday 12 October to Thursday 17 December — 10 weeks for WA public schools. With 30 lessons in this unit, that leaves breathing room for assessment, moderation and the weeks that disappear to carnivals, camps and public holidays — plan the assessable work to land two to three weeks before the end of term rather than in the final week.