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Year 12 Mathematics Standard 2

Practical HSC Mathematics Standard 2 revision with lessons, guided practice, and mastery checks.

Units

11

Active lessons

58

Course type

Mathematics Standard 2

Active unit

Available

Algebraic Relationships

9 active lessons

Linear modelling, quadratic models, exponential and inverse variation models, simultaneous-equation comparisons, and HSC-style algebra in practical contexts.

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Trigonometry

6 active lessons

Right-angled trigonometry and radians, angles of elevation and depression, sine and cosine rules, triangular area, and non-right-angled triangle problems.

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Rates and Ratios

8 active lessons

Ratios, rates, unit conversions, energy consumption, scale drawings, rainfall calculations, bearings, time zones, and practical measurement problems.

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Surface Area and Volume

3 active lessons

Calculate total surface area and volume of right prisms, cylinders and spheres, convert between volume units, and solve practical composite solid problems.

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Investment and Loans

5 active lessons

Compound interest, growth and decay factors, shares and dividends, asset depreciation, and loan recurrences.

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Annuities

8 active lessons

Future value and present value annuities, regular payment schedules, interest factor tables, retirement planning, and financial decision-making.

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Bivariate Data Analysis

4 active lessons

Scatterplots, direction and strength of association, correlation, regression equations, predictions, and residuals.

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Relative Frequency and Probability

4 active lessons

Experimental and theoretical probability, relative frequency, two-way tables, multistage events, independence, and contingency tables.

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The Normal Distribution

3 active lessons

Bell-curve shape, z-scores, empirical rule 68/95/99.7%, standardised values, and statistical analysis exam practice.

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Network Flow

4 active lessons

Vertices, edges, degrees, directed and weighted networks, shortest paths, minimum spanning trees, and flow capacity problems.

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Critical Path Analysis

4 active lessons

Precedence tables, earliest start times, critical paths, project completion time, float, Gantt charts, and dummy activities.

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Part of online learning access

Unit overviews are public previews. Individual lessons use the same online learning access gate as the existing Year 12 Advanced course.