Precalculus Videos
and Guided Notes
Welcome to our Precalculus Videos and Guided Notes page! Here, you’ll find a comprehensive collection of resources designed to help you navigate the complexities of precalculus. Our aim is to make learning precalculus engaging and accessible, ensuring you have the support you need to succeed.
What You'll Find Here
In-Depth Video Lessons
Our precalculus videos cover a broad spectrum of topics, from fundamental concepts to advanced theories. Each video is carefully structured to provide clear explanations, step-by-step solutions, and practical examples. Whether you’re starting with the basics or diving into more challenging material, our videos will guide you through every step.
Interactive Guided Notes
To enhance your learning experience, we offer downloadable guided notes. These notes are designed to be filled in as you watch our videos, promoting active engagement with the material. Guided notes help you to:
Strengthen Your Understanding: By filling in key details as you learn, you reinforce your comprehension of precalculus concepts.
Boost Retention: Active note-taking helps secure the information in your memory.
Stay Organized: Keep your study materials in order, making it easier to review and prepare for exams.
How to Use These Resources
Watch the Videos: Begin by watching our detailed precalculus videos. Each lesson builds on the previous one to enhance your understanding gradually.
Download the Guided Notes: Access the guided notes provided with each video. These are available in PDF format for easy download and printing.
Follow Along and Fill In: As you watch the videos, fill in the guided notes. This process will help you grasp and retain the concepts more effectively.
Review and Study: Use your completed notes as a valuable study aid for reviewing key concepts and preparing for tests.
Start Learning Today!
Jump into our precalculus videos and guided notes to take your understanding to the next level. Click on the links below to access the content and begin mastering precalculus with confidence.
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
Understanding Interval Notation
Interval Notation for Multiple Inequalities
Domain of a 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