Precalculus
PrintPrecalculus consolidates and extends algebraic reasoning through polynomial and rational inequalities, complex numbers, and advanced function transformations including trigonometric, inverse, and parametric forms. The function strand is central: students interpret, compose, and analyze families of functions with precision. Vectors, polar coordinates, and conic sections round out the course as preparation for calculus.
Example Problems
A curve in the plane is defined parametrically by the equations and .
Find .
Find .
Consider the parametric curve:
Which integral gives the arc length of the curve over the interval from to ?
Which integral gives the arc length of the curve over the interval from to ?
These are the component forms of vectors and :
Add the vectors.
Add the vectors.
Evaluate:
A curve is defined by the parametric equations and .
What is in terms of t?
What is in terms of t?

1-on-1 AI tutoring aligned to PC. Instant help for students, real-time insights for teachers.
Used in classrooms by 100,000+ students at Baltimore County, Plano ISD, Deer Valley USD, KIPP, and districts nationwide.
Free for teachers, forever →