Grade 12

Master the shortcut rules for finding derivatives — including fractions, roots, products, and quotients.

Master the formal definition of the derivative from first principles — with full worked examples for every function type.

Master present value annuities — understand the logic of loans, calculate repayments, find balances outstanding, handle deferred payments, and determine final payments with fully worked examples.

Master future value annuities and sinking funds — understand the growing pile logic, apply the formula with confidence, handle immediate payments and sinking fund calculations with fully worked examples.

Deep-dive into every function type, their parameters, transformations, and inverses.

Understand where the annuity formulas come from, how timelines work, and the total-value strategy for complex problems.

All functions side-by-side: their forms, parameters, domains, ranges, asymptotes, inverses, and transformation rules.

Master the log as the inverse of the exponential, the laws of logarithms, and every parameter that transforms the log graph.

Master alternating and interleaved patterns — how to untangle two sequences woven together and find any term or sum.

Master exponential growth and decay, every parameter that controls the curve, and the critical link to logarithms.