**Problem #319**

(a) Graphing the sine function

(b) Graphing the cosine function

**Unit A | Functions** (V.I.P.)

- Concept A-1: Functions and their graphs
- Concept A-2: Domain and Range
- Concept A-3: End behavior
- Concept A-4: Intervals of increasing and decreasing
- Concept A-5: Extreme values
- Concept A-6: Intervals of positive and negative
- Concept A-7: Periodicity and symmetry
- Tutorial 1 (periodicity), Tutorial 2 (symmetry)

- Concept A-8: Rate of change
- Tutorial (work through all videos/examples)

**Unit B | Families of Functions** (V.I.P.)

- Concept B-1: The translation of functions
- Solutions to HW
- Desmos activity from class (class code: CSX4S)
- Translations video tutorial

- Concept B-2: The dilation of functions
- Concept B-3: Equations of function transformations
- Solutions to HW
- Lesson tutorial #1 (quadratic function)
- Lesson tutorial #2 (exponential function)

- Concept B-4: Linear, quadratic, exponential, periodic families
- Concept B-5: Selecting appropriate models

**Unit C** | Inverse Functions (V.I.P.)

- Concept C-1: Identifying inverse functions
- HW Solutions
- Lesson tutorial (intro to inverse functions)

- Concept C-2: Finding inverse functions
- HW Solutions

- Concept C-3: Inverse functions as graphs and tables
- HW Solutions

- Concept C-4: Composition of functions
- HW Solutions

- Concept C-5: Justifying inverse functions
- HW Solutions
- Lesson tutorial

**Unit D** |** **Sequences and Series (V.I.P)

- Concept D-1: Visual sequences and notation
- Concept D-2: Recursive sequences
- Concept D-3: Arithmetic sequences
- Concept D-4: Geometric sequences
- Concept D-5: Summation Notation
- Concept D-6: Geometric Series

**Unit E **| Exponential Functions (V.I.P.)

- Concept E-1: Introductory exponential modeling
- Concept E-2: Graphs of exponential functions
- Concept E-3: Negative exponents
- Concept E-4: Rational exponents
- Concept E-5: Advanced exponential modeling
- Concept E-6: Equations with rational exponents
- Concept E-7: Exponential equations

**Unit F **| Logarithmic Functions (V.I.P.)

- Concept F-1: Introduction to logarithms
- Concept F-2: Evaluating logarithms and the natural logarithm
- Concept F-3: Graphs of logarithmic functions
- Concept F-4: Properties of logarithms
- Concept F-5: Exponential equation requiring logarithms

**Unit G **| Periodic Functions (V.I.P.)

- Concept G-1: Key features of periodic functions
- Concept G-2: Radian measure
- Concept G-3: The Unit Circle
- Concept G-4: Trigonometric ratios and the Unit Circle
- Concept G-5: Trigonometric ratios and any circle
- Concept G-6: The Pythagorean Identity
- Concept G-7: Graphing the sine and cosine functions
- Concept G-8: Modeling with trigonometric functions

**Unit K **Equations in Multiple Variables** **

**Concept M-1:**Introduction to probability**Concept M-2:**Sets and probability**Concept M-3:**Adding probabilities**Concept M-4:**Conditional probability**Concept M-5:**Independent events**Concept M-6:**Multiplying probabilities

**Unit N **Statistics

**Concept N-1:**Variability and sampling**Concept N-2:**Population parameters**Concept N-3:**The normal distribution**Concept N-4:**Normal distribution Z-scores**Concept N-5:**Sample means**Concept N-6:**Sample proportions**Concept N-7:**The difference in sample means**Concept N-8:**The distribution of sample means**Concept N-9:**The distribution of sample proportions**Concept N-10:**Margin of Error**Concept N-11:**Linear regression

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