WACE Mathematics Methods: complete 2026 guide to ATAR Units 3 and 4 (SCSA)

WACE ATAR Mathematics Methods (Western Australia, SCSA) Year 12 is the Units 3 and 4 sequence. The final ATAR course mark is split evenly: 50 percent school-based assessment across the year and 50 percent a single external written examination set and marked by SCSA at the end of Year 12. The external paper covers Units 3 and 4 together, so Unit 3 content taught early in the year remains examinable in November.

This page is the index. Below you will find the structure of the course, how the marks combine, and links to every dot-point answer we have written for WACE Mathematics Methods Units 3 and 4.

How the course is assessed in 2026

School-based assessment: 50 percent. Run by your school against the SCSA assessment outline, this combines written tests (calculator-free and calculator-assumed), an investigation or modelling task, and school examinations. It is statistically moderated against the external examination so that schools mark to a common standard.

External examination: 50 percent. A single written paper set and marked centrally by SCSA, covering Units 3 and 4 together. It has a calculator-free Section One and a calculator-assumed Section Two, blending short and extended questions across algebra, calculus, probability and statistical inference. A Formula Sheet is supplied.

The two halves are combined and statistically moderated to produce your final ATAR course mark, which then feeds into your ATAR through the usual scaling process.

Unit 3

Unit 3 extends differentiation, introduces integral calculus and develops discrete probability.

Topics. 3.1 Further differentiation and applications (derivatives of $e^x$, $\sin x$ and $\cos x$, the product, quotient and chain rules, rates of change, optimisation, the second derivative and curve sketching). 3.2 Integrals (anti-differentiation, the definite integral, the Fundamental Theorem of Calculus, area under and between curves, total change and kinematics). 3.3 Discrete random variables (probability distributions, expected value and variance, and the binomial distribution with mean $np$ and variance $np(1-p)$).

Unit 4

Unit 4 introduces the logarithmic function and continuous probability, finishing with statistical inference for a proportion.

Topics. 4.1 The logarithmic function (logarithm laws and graphs, the derivative of $\ln x$ and integrals giving logarithms). 4.2 Continuous random variables and the normal distribution (probability density functions, mean and variance by integration, the normal distribution and standardisation with z-scores). 4.3 Interval estimates for proportions (the sampling distribution of the sample proportion, the standard error, and the approximate confidence interval for a population proportion).

Our 2026 WACE Mathematics Methods dot-point answers

Every link below is a focused answer to one SCSA syllabus content point. Each page identifies what the dot point is asking, gives the worked answer with correct mathematics and a fully worked example, and flags the mistake most likely to cost marks.

Unit 3

• Further differentiation and applications
• The product and quotient rules
• Derivatives of exponential functions
• Derivatives of trigonometric functions
• The second derivative and concavity
• Curve sketching with calculus
• Optimisation problems
• Rates of change and related rates
• Integration and its applications
• Antidifferentiation and indefinite integrals
• The definite integral and area
• The Fundamental Theorem of Calculus
• Area between curves
• Integration in kinematics
• Total change from a rate
• Discrete random variables and the binomial distribution
• Discrete probability distributions
• Expected value of a discrete random variable
• Variance and standard deviation of a discrete random variable
• The Bernoulli distribution
• Binomial probabilities and cumulative probabilities
• Mean and variance of the binomial distribution

Unit 4

• Derivatives of logarithmic functions
• Exponential and logarithmic functions
• Continuous random variables and the normal distribution
• Probability density functions
• The normal distribution and its properties
• Standardisation and normal probability calculations
• The sample proportion and its distribution
• Confidence intervals for proportions
• Margin of error and sample size