Pre-Calculus
Fundamental Algebra Concepts
Solving Equations with 2 Absolute Value Functions or More
Introduction to Functions and their Graphs
Visually identifying key characteristics of graphs.
Even and Odd Functions Many Examples
Graphing Absolute Value Functions as Piecewise Functions 3 Examples
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
Combining Functions, Composition of Functions, and Inverse Functions
Combining Functions & Function Operations
Combining Square Root Functions & Domain 4 Examples
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
Basic graphing with a TI-NSPIRE
Solving Quadratics and Higher Order Polynomials
Synthetic Division & Remainder Theorem
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
Exponential Functions and Logarithms
Graphing Exponential Functions
Change of Base Formula Logarithms
Using Properties of Logarithms to Expand Logs
Using Properties of Logarithms to Condense Logs
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
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 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)
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
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
Writing Vector in terms of Magnitude & Direction Example
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 1 Variable Inequalities
Graphing Non-Linear Inequalities
Graphing System of Inequalities
Conic Sections: Parabolas, Ellipses & Circles, Hyperbolas
Graphing Hyperbolas in Standard Form
Graphing Parabolas in Standard Form
Finding Equations of Conics from Given Conditions
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
Arithmetic Sequence Introduction
Partial Sum Arithmetic Sequence
Geometric Means in a Geometric Sequence
Partial Sum Geometric Sequences
Converting Repeating Decimal to a Fraction
Induction Proofs
Introduction to Induction Proofs
Induction Proof for Divisibility
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