Math Analysis
Chapter 3
Unit 3-1 Graphing & Writing Sinusoidal Functions
- Standard 3a: Use a graphing calculator to find the graph of a trigonometric equation.
- Standard 3b: Find the graph from the equation of a sinusoidal without a graphing calculator.
- Standard 3c: Given a sinusoidal graph or its traits, find its equation.
Agenda
- Comparing Graphs of Sines and Cosines
- Traits of Sinusoidal Functions
- Amplitude
- Vertical Shift
- Period
- Horizontal Shift
- Desmos Activity
- Assignment 3-1: Part A Pg 86 #2-9 Part B #1, 12-15
Unit 3-2 Solving for x and y in a Sinusoidal Graph
- Standard 3d: Given a sinusoidal equation, find values of y from x and vice versa.
Agenda
- Solving for x using
- Reference Angles & Quadrants
- Coterminal Angles
- Finding Values of y in Sinusoidal Functions
- Assignment 3-2: Pg. 94 #1-8
Unit 3-3 Modeling Sinusoidal Equations
- Standard 3d: Model and Solve Sinusoidal Equations
Agenda
- Find the traits given in the word problem
- Half the distance from max to min is the amplitude
- The midpoint between max and min is the sinusoidal axis (vertical shift)
- The period is the time it takes for the model to complete one cycle
- The horizontal shift is determined by when the graph has its first maximum
- Using the Calculator to Graph and Solve for Values Within the Model
- Assignment 3-3: Pg. 100 #1-9