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🎯 Essential Resources for Calculus Preparation
Getting ready for Calculus 1? This collection of review videos and guided notes will help you brush up on the algebra and trigonometry skills that are essential for success in your upcoming calculus class.
Whether you're a high school or college student, or just want to refresh your math skills, these clear, step-by-step videos are designed to strengthen your foundation and build confidence.
📚 What’s included in this free review resource?
🎥 Targeted Video Lessons
These videos focus on the essential algebra and trigonometry topics you'll need for Calculus 1:
✔ Algebra Topics – Functions, graphs, equations, polynomials, radicals, exponentials, logarithms, and systems
✔ Trigonometry Topics – Unit circle, trig functions, identities, solving trig equations
✔ Step-by-Step Instruction – Each concept is clearly explained and applied to example problems
✔ Focused Review – Build confidence by mastering the skills that calculus builds upon
📄 Interactive Guided Notes
Enhance your learning experience with downloadable guided notes, designed to:
✔ Reinforce Understanding – Fill in the notes as you watch to stay actively engaged
✔ Improve Retention – Organized layouts help you remember key ideas
✔ Study Effectively – Use the notes to review before your calculus class begins
How to Use These Resources
1️⃣ Watch the Videos – Go through the playlist in order or choose the topics you want to review
2️⃣ Download the Guided Notes – Print or open digitally to follow along
3️⃣ Engage Actively – Fill in the notes while watching to strengthen understanding
4️⃣ Review Often – Use your completed notes to study anytime
Start Preparing for Calculus Today!
Build a strong foundation by reviewing the essential algebra and trigonometry skills you’ll need for success in Calculus 1.
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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
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
Piecewise Functions
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
Transformations of Functions
Graphing Transformations of Functions
Graphing Absolute Value Functions
Even and Odd Functions
Introduction to Inverse Functions
How to Find the Inverse of a Function
Domain and Range of an Inverse Function
Horizontal Line Test and One-to-One Functions
Chapter 3: Linear Functions
Linear Functions and Models
How to Solve Linear Equations
X- and Y-Intercepts
Finding the Equation of a Line
Horizontal and Vertical Lines
Parallel and Perpendicular Lines
How to Graph a Linear Equation
How to Solve Absolute Value Equations
How to Solve Linear Inequalities
How to Solve Compound Linear Inequalities
How to Solve Absolute Value Inequalities
Chapter 4: Quadratic Functions and Equations
Complex Numbers
Quadratic Functions
Factoring Quadratic Functions
Factoring The Difference of Two Squares and Perfect Square Trinomials
Standard and Vertex Form of a Quadratic Equation and Converting Between Them
Discriminant of a Quadratic Equation
Solving Quadratic Equations Using the Square Root Property
Solving Quadratic Equations by Factoring
Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations Using the Quadratic Formula
Graphing Quadratic Functions
Solving Quadratic Inequalities
Chapter 5: Polynomial Functions
Polynomial Basics
Multiplying Polynomials
Long Division of Polynomials
Synthetic Division of Polynomials
Factoring Polynomials by the Greatest Common Factor
Factoring Polynomials by Grouping
Factoring Sums and Difference of Cubes
The Remainder and Factor Theorems
Finding Zeros of Polynomials with the Rational Zero Theorem
Graphing Polynomials Using End Behavior, Zeros, and Multiplicities
How to Find the Equation of a Polynomial from Its Graph
Chapter 6: Radical and Rational Functions
Simplifying Radical Expressions
Factoring Algebraic Expressions with Rational Exponents
Solving Radical Equations
Simplifying Rational Expressions
Multiplying and Dividing Rational Expressions
Adding and Subtracting Rational Expressions
Solving Rational Equations
Solving Rational Inequalities
Horizontal, Vertical, and Slant/Oblique Asymptotes
Graphing Rational Functions
Chapter 7: Exponential and Logarithmic Functions
Introduction to Exponential Functions
Graphing Exponential Functions
The Natural Exponential Function and Natural Logarithm
How to Evaluate Logarithms
Properties of Logarithms
Change of Base Formula for Logarithms
Graphing Logarithmic Functions
How to Solve Exponential Equations
How to Solve Logarithmic Equations
Exponential Growth and Decay Word Problems
Compound Interest Formula
Review of Exponential Functions
Chapter 8: Systems of Equations
Types of Solutions for Systems of Equations in Two Variables
Solving Systems of Equations in Two Variables Using Substitution and Elimination
Solving Systems of Equations in Three Variables Using Substitution and Elimination
Chapter 9: Conic Sections
Introduction to Conic Sections
Circles - Equations and Graphs
Ellipses - Equations and Graphs
Parabolas - Equations and Graphs
Hyperbolas - Equations and Graphs
Chapter 10: Sequences and Series
Introduction to Sequences and Explicit and Recursive Formulas
Sigma Notation
Arithmetic Sequences
Geometric Sequences
Chapter 11: Basic Trigonometric Concepts
Convert Degrees to Radians and Radians to Degrees
Standard Position and Coterminal Angles
Length of a Circular Arc
Area of a Sector
Similar Triangles and Their Use in Application Problems
Chapter 12: Right Triangle Trigonometry
The Pythagorean Theorem
Trigonometric Functions: Sine, Cosine, Tangent, Cosecant, Secant, Cotangent
Solving a Right Triangle
Chapter 13: 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 14: 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
Chapter 15: 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 16: 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
Chapter 17: Trigonometric Equations
How to Solve Basic Trigonometric Equations
Master Trigonometric Equations in Minutes
Chapter 18: Additional Topics in Trigonometry
How to Use the Law of Sines To Solve a Triangle
How to Use the Law of Cosines To Solve a Triangle
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