TOPIC 1 Linear Functions
1-1 Key Features of Functions
1-1B Absolute Value
1-1C Compound Absolute Value
1-2 Transformations of Functions
1-3 Piecewise Defined Functions
1-4 Arithmetic Sequences and Series
TOPIC 2 Quadratic Functions and Equations
2-1 Vertex Form of Quadratic Functions
Vertex From
Writing Equations in Vertex Form
2-2 Standard Form of Quadratic Functions
Standard Form
2-3 Factored Form of Quadratic Functions
Factoring Quadratics
Factored Form of a Quadratic Equation
2-4 Complex Numbers and Operations
Complex Numbers
Operations with Complex Numbers
2-5 Completing the Square
Perfect Square Trinomials
Completing the Square w/ PST
Completing the Square w/o PST
2-6 The Quadratic Formula
Quadratic Formula
TOPIC M Systems of Equations
M-1 Linear Systems (1-6)
Solve Linear Systems Graphically and using Substitution
M-2 Linear-Quadratic Systems (2-7)
Solve Linear-Quadratic Systems Graphically and using Substitution
Applications
Using TI Nspire to Find Solutions
M-3 Linear Programming
Solve Systems with Constraints using Linear Programming
M-4 Matrix Introduction Operations with Matrices (10-1)
Organization of Matrices
Operations with Matrices
M-5 Matrix Multiplication (10-2)
Multiplying Two Matrices
M-6 Vectors (10-3)
Solving Vector Problems
Components of Vectors
M-7 Determinants & Inverses (10-4)
Determinants
Inverses
M-8 Solving Systems Using Matrices (10-5)
Using Inverse Matrices to Solve a 2 or 3 variable system
Using the TI Nspire with Matrices
TOPIC 3 Polynomial Functions
3-1 Graphing Polynomial Functions
Characteristics of Polynomials
3-2 Operations with Polynomials
Adding, Subtracting, and Multiplying Polynomials
Applications
3-3 Polynomial Identities
Properties of Polynomials
Expanding/Factoring Polynomials
Pascal's Triangle (Required Viewing)
Binomial Theorem
3-4 Dividing Polynomials
Long Division of Polynomials
Synthetic Division
Remainder Theorem
Factor Theorem
3-5 Zeros of Polynomial Functions
Finding Real Roots of a Polynomial
Finding Real & Complex Roots
3-6 Theorems About Roots of Polynomial Functions
Rational Root Theorem
Conjugate Root Theorem
TOPIC 4 Radical Exponents and Radical Functions
4-1 Inverse Variation & Reciprocal Functions
Inverse Variation
Reciprocal Functions
4-2 Graphing Rational Functions
Graphing Rational Functions
Applications
Holes
Slant Asymptotes
4-3 Multiplying and Dividing Rational Functions
Excluded Values
Multiply & Divide Rational Expressions
4-4 Add & Subtract Rational Expressions
Add & Subtract Rational Expressions (Like Denominators & GCF)
Add & Subtract Rational Expressions (Unlike Denominators)
Application & Complex Fractions
4-5 Solving Rational Equations
Solving Rational Equations
Solving Rational Inequalities
Application Problems
TOPIC 5 Rational Exponents and Radical Functions
5-1 Nth Roots, Radicals, and Rational Exponents
Nth Roots
Simplifying Roots
5-2 Properties of Exponents and Radicals
Powers
Exponents
Simplifying Roots
Simplify Rational Exponents
Operations with Roots
5-3 Graphing Radical Functions
Graphing Radical Functions
Graph Square Root Inequalities
5-4 Solving Radical Equations
Solving Radical Equations
Solving Radical Inequalities
5-5 Function Operations
Operations with Functions
Composition of Functions
5-6 Inverse Relations and Functions
Composite and Inverse Functions
TOPIC 6 Exponential and Logarithmic Functions
6-1 Key Features of Exponential Functions
Exponential Functions & Their Graphs
6-2 Exponential Models
Interest
Find a Rate for an Exponential Function
6-3A Exponential Equations
Solving Exponential Equations
Exponential Inequalities
6-3 Logarithms
Introduction to Logarithms
6-3B Special Logarithms
Common Logarithms
Natural Logarithms
6-4 Logarithmic Functions
Graph Logarithmic Function
Advanced Graphing of Log Functions
6-5 Properties of Logarithms
Expanding Logarithms
Condensing Logarithms
More with Properties
6-6 Exponential and Logarithmic Equations
Solve Exponents with Logs
Solve Logs with Exponents
Solve Logs using Properties
6-6B Applications of Exponent and Logarithmic Functions
Continuous Compound Interest
Half-Life & Natural Rate of Change
Logistic Growth Function
Graphing LGF on Nspire
6-7 Geometric Sequences and Series
Geometric Sequences & Series
Infinite Geometric Series
TOPIC 11-12 Statistics and Probability
11-1 Statistical Questions and Variables
Intro to Statistics
11-2 Statistical Studies and Sampling Methods
Designing a Study
11-3 Data Distributions
Histograms & Box Plots
11-4 Normal Distribution
Find Sample Deviation
Standard Deviation and Normal Distribution
Z-Values
11-5 Margin of Error
Population Parameters
11-6 Introduction to Hypothesis Testing
Testing a Hypothesis
Testing Hypothesis with Margin of Error
12-1 Probability Events
Simple Probability
12-2 Conditional Probability
Conditional Probability
12-3 Permutations & Combinations
Permutations
Combinations
12-4 Probability Distributions
Definitions
Binomial Distribution
12-5 Expected Value
Finding Expected Value
Expected Value and Standard Deviation
TOPIC 7 Trigonometric Functions
7-2 Angles and the Unit Circle
Angles & Circles
Unit Circle
7-4 Graphing Sine and Cosine Functions
Graphing Sin/Cos Functions
Using Nspire to Graph Sin/Cos Functions
7-5 Other Trigonometric Functions
Graphing Tan/Cot/Sec/Csc Functions