Master Precalculus
with Free Videos and
Guided Notes
🎯 Essential Resources for Mastering Precalculus
Welcome to your comprehensive resource for mastering precalculus! Whether you're laying the foundation or diving into advanced topics, our step-by-step video lessons and guided notes simplify learning and help you build confidence in math.
With clear explanations, interactive practice, and structured study materials, this course is designed to help students succeed in precalculus and beyond.
📚 What’s Included in This Free Precalculus Course?
🎥 In-Depth Video Lessons
Our precalculus tutorials cover essential topics, including:
✔ Clear Explanations – Breaking down complex concepts into simple, easy-to-follow lessons.
✔ Step-by-Step Solutions – Guiding you through problem-solving with precision.
✔ Real-World Applications – Connecting theory to practical scenarios for deeper understanding.
Each lesson is designed to strengthen your problem-solving skills and prepare you for higher-level math courses like calculus.
📄 Interactive Guided Notes
Enhance your learning experience with downloadable guided notes, designed to:
✔ Strengthen Understanding – Actively fill in key details as you watch.
✔ Boost Retention – Cement knowledge through interactive note-taking.
✔ Stay Organized – Keep your study materials structured for easy review.
How to Use These Resources
1️⃣ Watch the Videos – Start with our structured lessons, covering key topics step by step.
2️⃣ Download the Guided Notes – Print or use them digitally to follow along.
3️⃣ Engage Actively – Fill in the notes as you watch to reinforce understanding.
4️⃣ Review & Prepare – Use your completed notes as a valuable study tool for exams and homework.
Start Learning Precalculus Today!
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Course Outline
Part One: Algebra and
Functions
Chapter 1: Prerequisite Algebra and Geometry Concepts
How to Classify Numbers
Fractions - How to Add, Subtract, Multiply, and Divide
Order of Operations (PEMDAS)
The FOIL method
Squaring a Binomial
The Distance Formula
The Midpoint Formula
The Pythagorean Theorem
Chapter 2: Functions
Chapter 2: Functions
Functions and the Vertical Line Test
Evaluating Functions from a Formula, Table, and Graph
Understanding Interval Notation
Interval Notation for Multiple Inequalities
Domain of a Function
Identify Increasing, Decreasing, and Constant Intervals on a Graph
Finding Relative Maxima and Minima from the Graph of a Function
Average Rate of Change of a Function
Concavity and Inflection Points
Analyzing the Graph of a Function
Composite Functions
Domain of a Composite Function
Parent Functions
Chapter 3: Linear Functions
Finding the Equation of a Line
Chapter 4: Quadratic Functions and Equations
Chapter 5: Polynomial Functions
Multiplying Polynomials
Factoring Polynomials by the Greatest Common Factor
Chapter 6: Radical and Rational Functions
Simplifying Rational Expressions
Adding and Subtracting Rational Expressions
Multiplying and Dividing Rational Expressions
Factoring Algebraic Expressions with Rational Exponents
Chapter 7: Exponential Functions
Review of Exponential Functions
Chapter 8: Logarithmic Functions
Chapter 9: Systems of Equations
Chapter 10: Matrices and Determinants
Chapter 11: Conic Sections
Chapter 12: Sequences and Series
Part Two: Trigonometry
Filled in notes available for purchase here!
List of Trigonometric Identities
Chapter 1: Basic Trigonometric Concepts
Types of Angles: Acute, Right, Obtuse, Straight, and Reflex
Degrees and Radians: Definitions and Angle Measurement
Convert Degrees to Radians and Radians to Degrees
Standard Position and Coterminal Angles
Length of a Circular Arc
Area of a Sector
Types of Triangles and Finding the Missing Angle
Similar Triangles and Their Use in Application Problems
Chapter 2: Right Triangle Trigonometry
The Pythagorean Theorem
Trigonometric Functions: Sine, Cosine, Tangent, Cosecant, Secant, Cotangent
Special 45-45-90 and 30-60-90 Right Triangles
Solving a Right Triangle
Chapter 3: Trigonometric Functions
Unit Circle Introduction
Unit Circle Angles and Coordinate Points
How to Memorize the Unit Circle
How to Find Reference Angles
Trigonometric Functions of Real Numbers
Trigonometric Functions of Special Angles
How to Memorize the Signs of Trigonometric Functions
How to Find the The Exact Value of a Trigonometric Function
Chapter 4: Graphs of Trigonometric Functions
How to Graph Sine, Cosine, and Sinusoidal Functions
Equation for the Height of a Ferris Wheel Rider
How to Graph the Tangent Function
How to Graph the Cosecant, Secant and Cotangent Functions
Chapter 5: Inverse Trigonometric Functions
Horizontal Line Test: Inverses and One to One Functions
Inverse Trigonometric Functions: Domain, Range, and Graphs
How to Evaluate Inverse Trigonometric Functions
How to Evaluate Compositions of Inverse Trigonometric Functions
Chapter 6: Trigonometric Identities
List of Trigonometric Identities
Trigonometric Identities - Complete List
The Pythagorean Identity
Periodicity Identities
Even and Odd Identities
Complementary/Supplementary Identities
Sum and Difference Formulas and Identities
Product to Sum and Sum to Product Identities
Double Angle, Power Reduction, and Half Angle Identities
How To Simplify Trigonometric Expressions
Trigonometric Identity Verification Made Easy: Learn the Steps and See Examples
Chapter 7: Trigonometric Equations
How to Solve Basic Trigonometric Equations
How to Solve Trigonometric Equations Containing a Single Trigonometric Function
How to Solve Trigonometric Equations Containing Multiple Angles
How to Use Factoring to Solve Trigonometric Equations
How to Solve Quadratic Trigonometric Equations
How to Use Identities to Solve Trigonometric Equations
Extra - Master Trigonometric Equations in Minutes
Chapter 8: Additional Topics in Trigonometry
Mastering Triangle Congruence Theorems - SSS, SAS, ASA, AAS, HL
How to Use the Law of Sines To Solve a Triangle
How to Solve The Ambiguous Case (SSA Triangle Problem)
How to Use the Law of Cosines To Solve a Triangle
Heron’s Formula
Polar Coordinates and How to Plot Polar Points
How to Convert Between Polar and Rectangular Coordinates
How to Convert Between Polar and Rectangular Equations
How to Graph Polar Equations
Plane Curves and Parametric Equations
How to Write a Complex Number in Polar Form
How to Find Powers of Complex Numbers (De Moivre’s Theorem)
Area of a Triangle Formulas