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Video Library Secondary 3E
Unit 1 Polynomial Operations
1.0 Mixed Factoring
Difference of Squares
Sum/Difference of Cubes
Factoring by Grouping
Box Method
Slip and Slide Method
1.1 Polynomial Operations
Polynomial Terminology
Add/Subtract Polynomials
Multiply Polynomials
1.2 Binomial Theorem
Binomial Thm. Full Expansion
Binomial Thm. Find Single Term
1.3 Polynomial Long Division
Polynomial Long Division Ex. 1
Polynomial Long Division Ex. 2
1.4 Synthetic Division
Synthetic Division
Remainder Theorem
Unit 2 Polynomial Solutions & Graphs
2.1 Complex Factoring Techniques
Sum of Squares
Complex Solutions to Quadratics
2.2 Fundamental Theorem of Algebra
Nature of Roots
Find Linear Factorization
Find Linear Factorization Given a Factor
2.3 Rational Root Theorem
Rational Root Thm. Ex. 1
Rational Root THM. Ex. 2
Find Polynomial Given Zeros
2.4 Graphing Polynomials with Tech
Using a Calculator to Find Zeros
Using a Calculator to Find Min/Max
2.5 Sketching Polynomial Functions
Multiplicity
End Behavior Using Limit Notation
Sketching Polynomials
Unit 3 Rational Functions
3.1 Rational Operations
Excluded Values
Simplify Rational Expressions
Add/Subtract Rational Expressions
Multiply Rational Expressions
Dividing Rational Expressions
3.2 Rational Equations
Rational Equations
Work Problems
3.3 Graphing Rational Functions
Vertical & Horizontal Asymptotes
Holes
Graphing Rational Functions
Domain & Range
Using Limits to Describe Asymptotes
3.4 Transformations of Rational Functions
Graphing Rational Functions Using Transformations
3.5 Oblique Asymptotes
Slant/Oblique Asymptotes
Unit 4 Exponentiale & Logarithms
4.1 Exponential Graphs
Graphing Exponential Functions
The number e
Graphing Exponential Functions with base e)
4.2 Log Evaluations
Log Evaluation
Natural Log Evaluation
4.3 Log Graphs
Graphing Log Functions
Graphing Natural Log Functions
4.4 Log Properties
Properties of Logs Ex. 1
Properties of Logs Ex. 2
4.5 Exponential & Log Equations
Log Equations Basic
Log Equations With Log Properties
Natural Log Equations
Exponential Equations
4.6 Exponential & Log Story Problems
Exponential Growth/Decay
Exponential Growth/Decay (Continuous)
Compound Interest
Unit 5 Root & Parent Functions
5.1 Solving Square Root Equations
Square Root Equations
Square Root Equations (2 Radicals)
5.2 Solving Rational Exponent Equations
Rational Exponent Equations
5.3 Graphing Radicals
Graphing Radical Functions
Graphing Radical Functions with Transformations
5.4 Compose Functions
Compose Functions
Compose Functions (Sets of Points)
Unit 6 Unit Circle
6.1 Circular Spaghetti
Trig Functions on the Unit Circle Part 1
Trig Functions on the Unit Circle Part 2
Unit Circle
6.2 Radians & Degrees
Radians Part 1
Radians Part 2
Radians Part 3
Coterminal Angles
Reference Angles
6.3 Evaluate Six Trig Functions
Evaluate Trig Functions
6.4 Inverse Trig Functions
Evaluating Inverse Trig Functions
Composition of Trig Functions
Unit 7 Trig Graphs
7.1 Graphing Sine and Cosine
Graphing Sine & Cosine Overview
Graphing Sine Ex.
Graphing Cosine Ex.
7.2 Graphing Secant and Cosecant
Graphing Secant & Cosecant Overview
Graphing Secant Ex.
Graphing Cosecant Ex.
7.3 Graphing Tangent and Cotangent
Graphing Tangent & Cotangent Overview
Graphing Tangent Ex.
Graphing Cotangent Ex.
Unit 8 Trig Application
8.1 Area of Triangle Using Trig
Area of a Triangle Using Trig
8.2 Law of Sines
Law of Sines (AAS, ASA)
Law of Sines (SSA)
8.3 Law of Cosines
Law of Cosines (SSS, SAS)
Unit 9 Trig Proof & Solving
9.1 Basic Trig Proof
Verify Trig Identities
9.2 Pythagorean Trig Proof
Pythagorean Identities Ex. 1
Pythagorean Identities Ex. 2
9.3 Trig of Added Angles & Double Angle
Angle Sum Formula
Double Angle Identities
9.4 Solve Trig Equations
Trig Equations Basic
Trig Equations Factoring
Unit 10 Series
10.1 Arithmetic Sequences
Arithmetic Sequence Explicit Formula
Find the nth Term
10.2 Geometric Sequences
Geometric Sequences Explicit Formula
Find the nth Term
10.3 Series Notation
Sigma Notation
Rewrite Series Using Sigma Notation
Finite Geometric Series Ex 1
Finite Geometric Series Ex 2
10.4 Infinite Geometric Series
Infinite Geometric Series Ex. 1
Infinite Geometric Series Ex. 2
Unit 11 Parametric & Polar Curves
11.1 Polar Graphs
Polar Points Overview
Polar Points Writing Multiple Ways
Polar to Rectangular Conversion
Rectangular to Polar Conversion
11.2 Vectors
Vectors
11.3 Parametric Equations
Graphing Parametric Equations
11.4 Eliminating the Parameter
Eliminating the Parameter
Unit 12 Statistics
12.1 Sampling and Data Collection
Sampling Methods
Survey vs Observational Study vs Experiment
12.2 Simulations
Simulations
12.3 Normal Distributions
Normal Distribution
Empirical Rule
12.4 Standard Normal Distributions
Standard Normal Distributions Ex. 1
Standard Normal Distributions Ex. 2
12.5 Margin of Error
Margin of Error