Pre-Calculus

Fundamental Algebra Concepts

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 Functions & Function Operations

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

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 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

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 Velocity

Linear & Angular Velocity Part 1

Linear & Angular Velocity 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

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

Oblique Triangles Law of Sines

Ambiguous Case for Law of Sines

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

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