Overview
What is precalculus?
How it bridges algebra and calculus.
Standard
Functions and transformations
Parents, shifts, stretches, domain and range.
Polynomial and rational functions
End behavior, zeros, asymptotes.
Exponential and logarithmic functions
Growth, decay, logs as inverses.
Trigonometry basics
Unit circle, sine, cosine, radians.
Honors
Sequences and series
Arithmetic and geometric patterns.
Conic sections
Parabola, ellipse, circle, hyperbola.
Vectors
Magnitude, components, addition.
Advanced trigonometry
Identities, double-angle, wave features.
AP
Polar coordinates
Distance and direction from a center.
Parametric equations
Motion with a time parameter.
Matrices
Tables that transform points.
Rates and limits
Average rate of change and approaching a value.