Homeschool → New Zealand → Year 12 → Mathematics
Year 12 mathematics
These Year 11 topics help learners consolidate the algebra and reasoning needed for senior mathematics. They work with functions and their graphs, take a first step into calculus through rates of change, and meet exponential and logarithmic functions, the unit circle, counting techniques and the mathematics of sequences and finance. Families should check the specific requirements of their state or territory's senior courses.
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Number
Algebra
- Functions and their graphsFull lesson · 60 minUse function notation, find the domain and range of common functions, and describe how graphs are moved by simple transformations.
- Rates of change and the derivativeFull lesson · 60 minMove from the average rate of change between two points to the instantaneous rate of change, and use the power rule to differentiate simple polynomials.
- Exponential and logarithmic functionsTopic outlineGraph exponential growth and decay, understand logarithms as the inverse of exponentials, and use the log laws to solve simple exponential equations.