The School of Mathematics

Grade 12 Mathematics – Term 3

Categories: Grade 12, Mathematics
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About Course

This Grade 12 Mathematics Term 3 course covers advanced financial mathematics, bivariate statistics, counting and probability before the trial examination.

Learners evaluate investments and loans, analyse regression and correlation, apply counting principles and solve complex probability problems.

What Will You Learn?

  • ATP-aligned lessons, guided practice, quizzes, revision activities and formal-assessment preparation.

Course Content

Growth, Decay and Depreciation
<p>Apply simple and compound growth and decay formulae, including straight-line and reducing-balance depreciation.</p>

Present and Future Value Annuities
<p>Solve present-value and future-value annuity problems.</p>

Logarithms in Financial Mathematics
<p>Use logarithms to determine time periods in growth and decay models.</p>

Investment and Loan Decisions
<p>Critically compare investments, loans and repayment options and make informed financial decisions.</p>

Univariate Statistics Revision
<p>Revise histograms, frequency polygons, ogives, variance, standard deviation, skewness and outliers.</p>

Scatterplots, Regression and Correlation
<p>Use statistical summaries, least-squares regression and correlation to analyse bivariate data, interpolation and extrapolation.</p>

Fundamental Counting Principle
<p>Apply systematic counting methods to determine numbers of outcomes.</p>

Advanced Probability
<p>Apply addition, complement and product rules and use Venn diagrams, tree diagrams and contingency tables for dependent and independent events.</p>

Term 3 Test, Revision and Trial Examination
<p>Complete the formal test, consolidate the annual curriculum and prepare for the trial examination.</p>

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