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### Unit 1: Set Theory

### Unit 2: Counting Methods

Counting Principles

Factorials

Solving equations with factorials

Permutation formula

Introducing Permutations and Factorial Notation

Permutations of identical objects

Permutations when objects are identical

Permutations with cases

Permutations With conditions

Solving permutation equations

Permutations when all objects are distinguishable

Combination formula

Combinations with cases

Solving combination equations

Combinations

### Unit 3: Probability

### Unit 4: Rational Expressions and Equations

Equivalent rational expressions

Equivalent Rational Expressions and Non-Permissible Values

Common mistake with equivalent rational expressions

Simplifying rationals monomials

Simplifying rational expressions part 1

Simplifying rational expressions part 2

Simplifying Rational Expressions

Multiplying rational expressions

Dividing rational expressions

Multiplying/Dividing Rational Expressions

Adding rational expressions

Subtracting rational expressions

Solving and checking for extraneous root

Solving rational equations using quadratrics

Adding/Subtracting Rational Expressions and Solving Rational Equations

Solving word problems

Unit 4 Rational Expressions and Equations

### Unit 5: Polynomial Functions

### Unit 6: Exponential Functions

Matching exponential graph with function

Characteristics of Exponential Functions

Exponent laws using like bases

Solving exponential equations using like bases part 1

Solving exponential equations using like bases part 2

Solving exponential equations using like bases part 3

Solving exponential equations using like bases part 4

Solving exponential equations using like bases part 5

Solving Exponential Equations

Exponential word problem involving half life

Simple interest

Compound interest

Financial Applications Involving Exponential Functions

Exponential regression matching graph

Going from regression table to a function

Unit 6 Exponential Functions

### Unit 7: Logarithmic Functions

Characteristics of Logarithmic Functions

Converting from exponential to logarithmic

Going from logarithmic to exponential form

Matching graphs with functions

Evaluating logarithmic expressions

Evaluating logarithms with fractions

Evaluating logarithms with radicals

Evaluating Logarithmic Expressions

Decibals word problem

Richter scale word problem

Laws of logarithms part 1

Laws of logarithms part 2

Laws of logarithms part 3

Logarithm shortcut

Laws of Logarithms

Solving exponentials using logarithms part 1

Solving exponentials using logarithms part 2

Compound interest word problem

Solving word problems using logarithms

Solving Exponential Equations using Logarithms

Deciding between logarithmic and exponential regression

Unit 7 Logarithmic Functions

### Unit 8: Sinusoidal Functions

Features of sine graph

Understanding Angles and Exploring Graphs of Periodic Functions

Ferris wheel problem

Characteristics of sine and cosine graphs

Matching graphs and functions

The Graphs of Sinusoidal Functions

Identify characteristics from a function

Getting the function from a sine graph

Getting the function from a cosine graph

The Equations of Sinusoidal Functions