Algebra, Geometry & Precalculus
Prepare for calculus by connecting functions, trigonometry, vectors, sequences, and introductory limit reasoning.
Course structure
This course is published as a development map. Full lessons, practice, and assessments will be added after content review.
Complete these courses before beginning when they are available.
Learning outcomes
Module outline preview
Estimated times add up to the course’s planned learning time. Every module is in development.
Revisit function families, domain, range, and transformations.
Analyze combined and inverse functions graphically and algebraically.
Connect angle measure with exact trigonometric values.
Solve measurement and application problems with trigonometric ratios.
Model amplitude, period, phase shift, and vertical shift.
Verify and use foundational trigonometric identities.
Solve equations and interpret periodic solutions in context.
Represent direction, motion, and related quantities with vectors and parameters.
Interpret polar coordinates and connect them to rectangular form.
Analyze finite and infinite pattern structures that support later calculus work.
Describe approaching behavior and connect limits to rates of change.
Integrate functions, trigonometry, and limits in comprehensive models.
Course status
This course is not yet open for enrollment and does not include lessons, practice, assessments, or formal credit. You can review the outline while it is developed.
Recommended learning paths
These paths show a recommended order. Branches identify connected study that can follow once prerequisites are complete.
Learning path
A connected progression through pre-algebra, algebra, geometry, functions, and precalculus.
End capabilityEnter introductory college mathematics or calculus preparation with a connected algebra-and-geometry foundation.
Learning path
Follow the calculus sequence and explore connected linear-algebra and modeling branches.
End capabilityUse foundational university-level calculus and connected linear or differential-equation methods in mathematical models.