Pre-Calculus

    Solving Equations with 2 Absolute Value Functions or More

Introduction to Functions and their Graphs

    Function vs Relation

    Visually identifying key characteristics of graphs.

    Even Odd Functions & Symmetry

    Even and Odd Functions Many Examples

    Piecewise Functions

    Graphing Absolute Value Functions as Piecewise Functions 3 Examples

    Difference Quotient

    Transformation of Functions

    Graphing Absolute Value Functions with Transformations 6 Examples

    Determining Domain of Functions

Linear Functions and Slope

    Rate of Change Slope & Point Slope Equation of Lines

    Equations of Lines and Graphing

    Equations of parallel and perpendicular lines

    Average Rate of Change

Combining Functions, Composition of Functions, and Inverse Functions

    Composition of Functions

    Combining Functions & Function Operations

    Combining Square Root Functions & Domain 4 Examples 

    Inverse Functions

Modeling Real World Settings with Functions

    Modeling with Functions Part 1

    Modeling with Functions Part 2

    Modeling with Functions Part 3

Understanding Complex Numbers

    Complex (imaginary) Numbers Part 1

    Complex (imaginary) Numbers Part 2

     Powers of Imaginary Numbers Higher Powers of i (4 Examples) 

    Solving Equations with Complex Numbers 4 Examples 

Graphing Polynomials

    Graphing Parabolas w/ vertex & intercepts

    Parabola Applications Maximizing Minimizing Reflectors, etc

    Polynomial Graphs Part 1

    Polynomial Graphs Part 2

    Basic graphing with a TI-NSPIRE

Solving Quadratics and Higher Order Polynomials

    Factoring Overview

    Factoring by Grouping

    Synthetic Division & Remainder Theorem

    Long Division of Polynomials

    Solving Higher Order Polynomials Part 1

    Solving Higher Order Polynomials Part 2

    Finding polynomials using the Linear Factorization Theorem

Rational Functions

    Horizontal Asymptotes of rational equations

    Graphing Rational Functions with Slant Asymptotes

    Finding vertical asymptotes and holes of rational equations

    Graphing Rational Functions Part 1

    Graphing Rational Functions Part 2

Solving Polynomial & Rational Inequalities

    Solving Polynomial Inequalities

    Solving Polynomial Inequalities a Graphical Approach

    Solving Rational Inequalities

Exponential Functions and Logarithms

    Graphing Exponential Functions

    Logarithm Introduction

    Change of Base Formula Logarithms

    Using Properties of Logarithms to Expand Logs

    Using Properties of Logarithms to Condense Logs

    Graphing Logarithms

    Graphing Logarithms without a Calculator 3 Examples

    Solving Equations with Logarithms Pt 1

    Solving Equations with Logarithms Pt 2

    Solving Equations with Logarithms Pt 3

    Solving Natural Exponential Functions with Natural Logarithms

    Logarithm Equations with Different Bases

    Solving Compound Interest Problems

    System of Equations Involving Logarithms of Different Bases

Standard Position Angles and Unit Circle

    Standard Position Angles & Radians Part 1

    Standard Position Angles & Radians Part 2

    Setting up the Unit Circle Part 1 and Reference Angle

    Setting Up the Unit Circle Part 2

    Evaluating Trig Functions w/ Unit Circle Degrees & Radians

Linear & Angular speed

    Linear & Angular Speed Part 1

    Linear & Angular Speed Part 2

More Unit Circle and Right Triangle Trigonometry

    Fundamental Trigonometric Identities Intro & Proofs

    Trig Expressions & Finding Trig Functions Given another Trig Ratio

    Right Triangle Trigonometry Part 1

    Right Triangle Trigonometry Part 2

    Trigonometric Cofunctions

    Trigonometric Functions of Any Angle

Graphs of Trigonometric Functions

    Understanding Basic Sine & Cosine Graphs

    Graphing Sine & Cosine w/out a Calculator Pt1

    Graphing Sine & Cosine w/out a Calculator Pt 2

    Equation of Sine and Cosine from a Graph

    Water Depth Word Problem Modeled with Cosine Sine Function

    Intro Tangent & Cotangent Graphs

    Tangent & Cotangent Graphs w/ Transformations

    Graphing Secant & Cosecant w/ t-table

    Evaluating Inverse Trigonometric Functions

Analytic Trigonometry and Trig Proofs

    Intro to Fundamental Trig Identities (New) 

    Verifying Trigonometric Identities Pt 1.mov

    Verifying Trigonometric Identities Pt2

    Verifying Trigonometric Identities Pt3

    Sum and Difference Trigonometric Identities

    Verifying Trigonometric Identities Involving Sum & Difference

    Evaluating Trigonometry Expressions with Half and Double Angles Pt1

    Evaluating Trigonometry Expressions with Half and Double Angles Pt2

    Trigonometry Proofs Involving Half and Double Angles

    Product to Sum and Sum to Product Formulas

Solving Trigonometric Equations

    Trigonometric Equations Single Angle 0 to 2pi Restriction

    Single Angle Trigonometric Equations All Solutions

    Trigonometric Equations Multiple Angles 0 to 2pi Restriction

    Trigonometric Equations Multiple Angles All Solutions

Law of Sine and Law of Cosine

    Law of Sine Introduction Solving Oblique Triangles (New)

    Oblique Triangles Law of Sines

    Ambiguous Case for Law of Sines (New)

    Ambiguous Case for Law of Sines

    Introduction to Law of Cosine (New)

    Law of Cosines

    Area of oblique triangles with Heron's Formula

    Applications of Law of Sine and Law of Cosine

    Bearing Word Problems 4 Examples

Polar Coordinate System

    Understanding Polar Coordinates

    Graphing Polar Equations, Test for Symmetry & 4 Examples

    Converting Coordinates between Polar and Rectangular Form

    Converting Equations Between Polar & Rectangular Form

    Complex Numbers in Polar Form

Complex Numbers in Polar Form

    Product & Quotient of Polar Complex Numbers

    De Moivre's Theorem powers of Polar Complex Numbers

    De Moivre's Theorem Roots of Polar Complex Numbers

Vectors

    Introduction to Vectors

    Writing Vector in terms of Magnitude & Direction Example

    Vector Application Examples

    Dot Product & Angle Between Vectors

    Projection of a Vector onto another Vector

Systems of Equations

    Solving Linear Systems with Substitution and LInear Combination

    Solving 3 Variable Linear Systems Gaussian Elimination

    Applications of 3 Variable Systems

    Non-Square 3 Variable Linear Systems

    Partial Fraction Decomposition Part 1

    Partial Fractions Decomposition Part 2

    2 Variable Non Linear Systems Substitution Method

    2 Variable Non Linear Systems Addition/Elimination Method

Graphing Inequalities

    Graphing Linear Inequalities

    Graphing 1 Variable Inequalities

    Graphing Non-Linear Inequalities

    Graphing System of Inequalities

Conic Sections: Parabolas, Ellipses & Circles, Hyperbolas

    Graphing Ellipses & Circles

    Graphing Hyperbolas in Standard Form

    Graphing Parabolas in Standard Form

    Finding Equations of Conics from Given Conditions

    Application of Ellipses

    Application of Hyperbolas

    Applications of Parabolas in Standard Form

    Rotated Conic Section Identifying & Graphing 4 Examples

Parametric Equations

    Introduction to Parametric Equations

    Parametric Equations Eliminating Parameter T

Intro to Sequences, Arithmetic & Geometric

    Intro to Sequences

    Summation Notation (Sigma)

    Factorial Notation

    Arithmetic Sequence Introduction

    Partial Sum Arithmetic Sequence

    Intro to Geometric Sequences

    Geometric Means in a Geometric Sequence

    Partial Sum Geometric Sequences

    Infinite Sum Geometric Series

    Converting Repeating Decimal to a Fraction

Induction Proofs

    Introduction to Induction Proofs

    Induction Proof for Divisibility

    Induction Proof of Inequality

Binomial Theorem

    Binomial Theorem Introduction to Raise Binomials to High Powers

    Binomial Theorem Introduction (New) 3 More Examples

    Binomial Theorem & Transformation of Functions

Introduction to Calculus

    Why Limits are Important in Calculus

    Finding Real limits Graphical & Numerical Approach

    Properties of Limits

    Finding Limits with Properties Examples inc Quotients

    Limits & Continuity

    Limits of Piecewise Function

    Slope of Tangent Line Derivative at a Point