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      • Lessons 11.5-21
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    • Module 1 - Topic C >
      • Lessons 22-36
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      • Lessons 37-40
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      • Lessons 1-11
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    • Module 3 - Topic A >
      • Lessons 1-6
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      • Lessons 7-15
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    • Module 3 - Topic C >
      • Lessons 17-22
      • Practice Quizzes and Test Reviews
  • Math Analysis
    • Review Unit - Algebra Review
    • Chapter 1 - Back to the Basics and Learning New Tricks
    • Chapter 3 - Functions and their Domains
    • Chapter 4 - Polynomial and Rational Functions
    • Chapter 5 - Exponential and Logarithmic Functions
    • Chapter 6 - Basic Trigonometry and the Unit Circle
    • Chapter 7 - Trigonometric Identities
    • Chapter 8 - Law of Sines and Cosines
    • Unit 8 - Understanding Limits
    • For Parents
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    • Unit 1 - Chapters 1-6
    • Unit 2 - Chapters 7-10
    • Unit 3 - Chapters 11-13
    • Unit 4 - Chapters 14-15
    • Unit 5 - Chapters 16-18
    • Unit 6 - Chapters 19-22
    • Unit 7 - Chapters 22-23
    • Unit 8 - Linear Regressions and Testing for Significance
    • Unit 9 - Chi-Square Tests of Significance
    • End of Year Review
  • Mu Alpha Theta
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  • Syllabus
STUTTGART HIGH SCHOOL MATH ROCKS!

Chapter Three
Functions and their Domains

Note to the student: If assigned these videos for homework or you were absent, you must take notes and show them to your instructor next class.  Great care has been taken to make sure these videos are aligned to HOW we would teach these topics in the classroom.  We also made sure that for each lesson, you never have to watch more than 30 minutes worth of videos (with rare exceptions).  The best part of videos is that you can stop and rewind if you missed something.  If you find these videos useful, rest assured you will still be able to access these in years to come.  However, word of caution.  The videos are a great help, but they generally only contain between 60-80% of all material covered in class.  The videos generally focus on the most important elements you may have missed and not all practice/homework problems can be solved from just the videos alone.  Make sure to ask your teacher questions after watching the videos if you do not know how to solve a more difficult problems.

Lesson 3-3 and 3-1
Different types of functions
     and their graphs
Understanding domains 

Finding Domain and Range from a Graph (easiest way) 
Fort Bend - Finding Domains of ANY Functions - Watch only to Minute 22!
Finding the Domain of Most Functions

Lesson 3-1
Performing and Understanding
      Basic Derivatives

Definition of a Derivative
Another Example of a Derivative (Using Definition)
Derivative of a Square Root Function
OMG! Is there an easier way to take derivatives?  Yes!
More Examples of the Derivative Power Rule (Shortcut)
What do these derivatives mean?!

Lesson 3-2
Piecewise functions

Increasing, Decreasing, Constant, Local Extrema
Graphing Piece-Wise Functions
Evaluating Piece-Wise Functions

Lesson 3-4
Quadratic functions

Properties and Graphing Quadratic Functions
Vertex Form and Completing the Square
Creating a Quadratic Function from Known Points

Application of Quadratics & Derivatives:

​1. Position, velocity, acceleration

2. ​​Optimization problems

Basketball Problem (Needs Link to Video)
Bringing Back Derivatives: Calculating Velocity
Calculus: Position, Velocity, and Acceleration
Calculus: Position, Velocity, Acceleration - Ex #2
Moon Hammer (Basketball Problem) - Maximums & Minimums
Volume and Perimeter Using Derivatives
Making a Box from Paper - Maximum Volume - 1st Derivative

Lesson 3-5
Operations and Compositions

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Function Operations - Adding and Subtracting
Function Operations - With Domain
Function Operations - With Domain - Another Example
Composition of Functions
Finding the Domain of a Composition
Domain of a Composition - Simple Mistakes

Lesson 3-6
The Basics of Inverse Functions

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Inverse Functions - The Basics
FInding the Inverse - A Simple Example
All Steps for Understanding Inverse Functions
Finding the Inverse of a Function, Example 1
Another Example on Finding the Inverse of a Function
Combining Inverses and Compositions

Mid-Unit Review

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ONLINE SOLUTIONS FOR UNIT REVIEW!
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