Below you will find a list of topics covered in each chapter. Each topic is a link to a YouTube video. Click on the topic you want to see a different explanation of and it will open the video in a new window.
Chapter 1
Chapter 2
Chapter 2.5
Chapter 3
Chapter 4
Chapter 5
Chapter 6
Chapter 7
Chapter 8
- Equations of Lines & Graphing
- Equations of Parallel and Perpendicular Lines
- Determining Domain of a Function Without a Graph
- Identifying Domain & Range from a Graph
- Identifying Key Characteristics of a Graph
- Even & Odd Functions
- Piecewise Functions
- Transformation of Functions
- Composition of Functions
Chapter 2
- Factoring Review
- Factor by Grouping Review
- Graphing Quadratic Functions
- Polynomial Functions of Higher Degree - Part I
- Polynomial Functions of Higher Degree - Part II
- Polynomial Long Division
- Synthetic Division & Remainder Theorem
- Solving Higher Order Polynomials - Part I
- Solving Higher Order Polynomials - Part II
- Writing a Polynomial Function Given the Zeros
- Complex Numbers - Part I
- Complex Numbers - Part II
- Graphing Rational Functions - Part I
- Graphing Rational Functions - Part II
- Horizontal Asymptotes of Rational Functions
- Vertical Asymptotes and Holes of Rational Functions
- Slant Asymptotes of Rational Functions
Chapter 2.5
- Properties of Exponents - Multiplication & Power
- Properties of Exponents - Quotients & Negative Exponents
- Properties of Exponents - Negative Exponents & Zero
- Properties of Exponents - Rational Exponents
Chapter 3
- Graphing Exponential Functions
- Graphing Logarithmic Functions
- Properties of Logarithms - Expand
- Properties of Logarithms - Condense
Chapter 4
- Standard Position of Angles & Radians
- Converting to Degrees and Radians
- Linear & Angular Speed Part I Part II
- The Unit Circle Part I Part II
- Evaluating Trigonometric Functions Using the Unit Circle
- Trigonometric Functions of Any Angle
- Graphing Sine and Cosine Functions Part I Part II Part III
- Graphing Tangent and Cotangent Part I Part II
- Graphing Secant and Cosecant
- Evaluating Inverse Trig Functions
- Applications and Models (Bearing Problems)
Chapter 5
- Fundamental Trigonometric Identities Introduction
- Verifying Trigonometric Identities Part I Part II Part III
- Solving Trigonometric Equations Single Angle Part I Sing Angle Part II Multiple Angle Part I Multiple Angle Part II
- Sum and Difference Formulas Part I Part II
- Half-Angle and Double-Angle Formulas Part I Part II Proofs
- Product-to-Sum Formulas
Chapter 6
- Law of Sines Oblique Triangles Ambiguous Case
- Law of Cosines
- Area of Triangles
- Vectors in the Plane
- Writing Vectors
- Dot Product and Angle Between Vectors
- Projection of a Vector onto Another Vector
- Trigonometric Form of a Complex Number
- Product & Quotient of Complex Numbers in Trigonometric Form
- DeMoivre's Theorem
Chapter 7
- Solving Systems of Equations
- Solving Linear Systems in Two Variables
- Multivariable Linear Systems
- Nonsquare Linear Systems
- Partial Fraction Decomposition Part I Part II
Chapter 8
- Sequences and Series
- Arithmetic Sequences and Partial Sums
- Geometric Sequences and Series
- The Binomial Theorem