Pre-calculus 12
British Columbia · Grade 12 · Mathematics — the complete curriculum-aligned outline, taught skill by skill by MapleMind's AI tutor.
4Units
5Lessons
13Skills
Unit 1: Transformations of Functions & Relations
The unifying grammar of the course: translations, stretches, reflections, and inverses applied to every parent function.
Translations, Stretches, Reflections & Inverses
- Transforming parent functions
- Inverses: graphs and equations
Unit 2: Exponential & Logarithmic Functions
The paired system: exponential growth and decay, logarithms as their inverses, the laws, and equations with and without matching bases.
Exponential Functions & Equations
- Graphing exponential functions
- Solving exponential equations
- Geometric sequences and series
Logarithms: Operations, Functions & Equations
- Logarithms and the laws of logarithms
- Logarithmic functions and equations
Unit 3: Polynomial & Rational Functions
Factor and remainder theorems, polynomial graph analysis, and the anatomy of rational functions: asymptotes, holes, and end behaviour.
Polynomial Functions & Equations
- The factor and remainder theorems
- Graphing polynomial functions and solving equations
- Rational functions: asymptotes, holes, and end behaviour
Unit 4: Trigonometric Functions, Equations & Identities
Radians and the unit circle, the graphs of the trig functions with transformations, equation solving, and identities.
Radians & the Unit Circle
- Radians, degrees, and the unit circle
- Graphing trigonometric functions
- Trigonometric equations and identities
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