Resources
Precalculus resource library
Use the lesson first. These resources are selected to reinforce a skill when you need another explanation, more practice, or an interactive view.
Real Numbers
Classification · sets · intervals · union/intersection · absolute value & distance
Textbook pages not published yet. This card will become active only when the approved file is available.
Build intervals and compare union/intersection visually.
Khan Academy
Short review of how to recognize rational and irrational numbers.
OpenStax Precalculus
Clear reference for intervals, endpoints, union, and set-builder notation.
Khan Academy
Extra classification and irrational-number practice when you want more.
Algebraic Expressions
Exponent rules · operations · special products · factoring · substitution
Reserved for the approved course files. No unverified file link is published.
Practice choosing a factoring route instead of guessing a method.
Khan Academy
Extra explanation and practice for manipulating algebraic expressions.
OpenStax
Use as a reference when you need more examples beyond the lesson.
Rational Expressions
Restrictions · operations · compound fractions · rational exponents · rationalizing
Reserved for approved Lesson 1.4 files. No unverified course-file link is published.
Clear compound fractions and practise choosing the correct conjugate.
Khan Academy
Extra practice for simplifying and operating with rational expressions.
OpenStax
Use when you need additional examples on restrictions, LCDs, and complex rational expressions.
Inequalities
Linear · compound · nonlinear · rational · absolute value
Reserved for approved Lesson 1.8 files.
Build critical points, interval signs, ZN/ZD decisions, AND/OR structures, and sign-reversal decisions.
Khan Academy
OpenStax
The Coordinate Plane & Circles
Distance · midpoint · circle equations · completing the square · tangency
Reserved for approved Lesson 1.9 files. No unverified course-file link is published.
Use the live Desmos circle, completing-square interaction, diameter reasoning, and tangency decisions.
Khan Academy
Extra work on distance, midpoint, and equations in the coordinate plane.
OpenStax
Reference material for coordinate geometry and graph interpretation.
Functions
Function concept · evaluation · piecewise functions · difference quotient · domain restrictions
Reserved for approved Lesson 2.1 course files. No unverified course-file link is published.
Use the number-line model, visible piecewise graph, Desmos explorer, and Mr. Azzam's domain routine.
Khan Academy
Evaluate functions, work with inputs and outputs, and review domain and range.
OpenStax Precalculus 2e
Reference material for relations, function notation, evaluation, and function graphs.