VCE General Mathematics study plan

Classify datasets by variable type (categorical, discrete, continuous) and select the appropriate summary statistic for each

Construct and interpret histograms, boxplots and parallel boxplots from raw data, describing shape, centre, spread and outliers

Compute five-number summaries, means, standard deviations and IQR-based outlier fences by hand for small datasets

Convert fluently between fractions, decimals, percentages and standard form as preparation for later ratio work

Compare two or more datasets using parallel boxplots and back-to-back stem plots, justifying comparisons with specific statistics

Calculate and interpret z-scores to compare values from different distributions

Describe associations in scatterplots and classify correlation strength and direction

Fit a least-squares line by calculator and use it to predict, distinguishing interpolation from extrapolation

Apply the 68-95-99.7 rule and normal distribution tables to find proportions and cut-off values

Distinguish observational studies from experiments and identify sources of bias in sampling and survey design

Solve ratio, proportion and percentage-change problems including percentage increase and decrease in practical contexts

Perform calculations with rates, unit conversions and scaled quantities, showing correct units throughout

Simplify algebraic expressions and expand and factorise quadratics, including difference of two squares

Solve linear equations and simultaneous linear equations by substitution and elimination

Rearrange formulas to make a specified variable the subject, including variables appearing twice

Set up and solve word problems by defining variables and forming equations

Sketch linear, quadratic, exponential and inverse-variation graphs from their equations, labelling intercepts and asymptotes

Determine equations of lines from two points, a point and gradient, or a graph

Apply transformations (translation, reflection, dilation) to base graphs and state the resulting rule

Solve equations graphically and algebraically, interpreting points of intersection in context

Model practical situations with linear and exponential functions and interpret gradient and rate of change

Solve for unknowns in formulas arising from measurement contexts using inverse operations

Calculate perimeter, area and volume of composite shapes and solids, converting between units of area and volume

Apply similarity and scale factors to find unknown lengths, areas and volumes

Apply Pythagoras' theorem and trigonometric ratios to find unknown sides and angles in right-angled triangles

Solve non-right-angled triangle problems using the sine and cosine rules and the area formula

Carry out bearing and navigation problems, drawing clear diagrams with correct angle placement

Compute surface area and volume of spheres, cones, pyramids and prisms, and solve related practical problems

Complete two full-length practice exams under timed conditions covering all four domains

Identify the three weakest skill areas from practice results and re-work every missed item to a correct final answer

Summarise formula-sheet usage, calculator techniques and time allocation for each section

Verify recall of key definitions and formulas across all domains without notes