Precalculus>Applications of Trigonometry

# Unit 5: Applications of Trigonometry

###### Unit 0: Prerequisites

**Day 1:**The Cartesian Plane**Day 2:**Equations of Circles**Day 3:**Solving Equations in Multiple Representations**Day 4:**Reasoning with Formulas**Day 5:**Quiz 0.1 to 0.4**Day 6:**Linear Relationships**Day 7:**Reasoning with Slope**Day 8:**Set Notation**Day 9:**Quiz 0.5 to 0.7**Day 10:**Unit 0 Review**Day 11:**Unit 0 Test

###### Unit 1: Functions

**Day 1:**Functions and Function Notation**Day 2:**Domain and Range**Day 3:**Rates of Change and Graph Behavior**Day 4:**Library of Parent Functions**Day 5:**Transformations of Functions**Day 6:**Transformations of Functions**Day 7:**Even and Odd Functions**Day 8:**Quiz 1.1 to 1.6**Day 9:**Building Functions**Day 10:**Compositions of Functions**Day 11:**Inverse Functions**Day 12:**Graphs of Inverse Functions**Day 13:**Piecewise Functions**Day 14:**Quiz 1.7 to 1.11**Day 15:**Unit 1 Review**Day 16:**Unit 1 Test

###### Unit 2: Polynomial and Rational Functions

**Day 1:**Connecting Quadratics**Day 2:**Completing the Square**Day 3:**Polynomials in the Short Run**Day 4:**Polynomials in the Long Run**Day 5:**Review 2.1-2.4**Day 6:**Quiz 2.1 to 2.4**Day 7:**Factor and Remainder Theorem**Day 8:**Factor and Remainder Theorem**Day 9:**Complex Zeros**Day 10:**Connecting Zeros Across Multiple Representations**Day 11:**Intro to Rational Functions**Day 12:**Graphing Rational Functions**Day 13:**Quiz 2.5 to 2.9**Day 14:**Unit 2 Review**Day 15:**Unit 2 Test

###### Unit 3: Exponential and Logarithmic Functions

**Day 1:**Exponential Functions**Day 2:**Graphs of Exponential Functions**Day 3:**Compound Interest and an Introduction to "e"**Day 4:**Review 3.1-3.3**Day 5:**Quiz 3.1 to 3.3**Day 6:**Logarithmic Functions**Day 7:**Graphs of Logarithmic Functions**Day 8:**Logarithm Properties**Day 9:**Solving Exponential and Logarithmic Equations**Day 10:**Quiz 3.4 to 3.7**Day 11:**Exponential and Logarithmic Modeling**Day 12:**Unit 3 Review**Day 13:**Unit 3 Test

###### Unit 4: Trigonometric Functions

**Day 1:**Right Triangle Trig**Day 2:**Inverse Trig Ratios**Day 3:**Radians and Degrees**Day 4:**Unit Circle**Day 5:**Unit Circle**Day 6:**Other Trig Functions**Day 7:**Review 4.1-4.6**Day 8:**Quiz 4.1 to 4.6**Day 9:**Graphing Sine and Cosine**Day 10:**Transformations of Sine and Cosine Graphs**Day 11:**Graphing Secant and Cosecant**Day 12:**Graphing Tangent and Cotangent**Day 13:**Quiz 4.7 to 4.10**Day 14:**Inverse Trig Functions**Day 15:**Trigonometric Modeling**Day 16:**Trigonometric Identities**Day 17:**Unit 4 Review**Day 18:**Unit 4 Review**Day 19:**Unit 4 Test

###### Unit 5: Applications of Trigonometry

**Day 1:**Law of Sines**Day 2:**The Ambiguous Case (SSA)**Day 3:**Law of Cosines**Day 4:**Area and Applications of Laws**Day 5:**Vectors**Day 6:**Review 5.1-5.5**Day 7:**Quiz 5.1 to 5.5**Day 8:**Polar Coordinates**Day 9:**Equations in Polar and Cartesian Form**Day 10:**Polar Graphs Part 1**Day 11:**Polar Graphs Part 2**Day 12:**Review 5.6-5.9**Day 13:**Quiz 5.6 to 5.9**Day 14:**Parametric Equations**Day 15:**Parametric Equations (With Trig)**Day 16:**Unit 5 Review**Day 17:**Unit 5 Test

###### Unit 6: Systems of Equations

**Day 1:**What is a Solution?**Day 2:**Solving Systems with Substitution**Day 3:**Solving Systems with Elimination**Day 4:**Review 6.1-6.3**Day 5:**Quiz 6.1 to 6.3**Day 6:**Solving Systems in 3 Variables**Day 7:**Solving Systems in 3 Variables**Day 8:**Partial Fractions**Day 9:**Unit 6 Review**Day 10:**Unit 6 Test

###### Unit 7: Sequences and Series

**Day 1:**Introducing Sequences**Day 2:**Using Sequences and Series to Describe Patterns**Day 3:**Arithmetic Sequences and Series**Day 4:**Review 7.1-7.2**Day 5:**Quiz 7.1 to 7.2**Day 6:**Geometric Sequences and Finite Series**Day 7:**Infinite Geometric Sequences and Series**Day 8:**Proof by Induction**Day 9:**Proof by Induction**Day 10:**Quiz 7.3 to 7.5**Day 11:**Unit 7 Review**Day 12:**Unit 7 Test

###### Unit 8: Limits

**Day 1:**What is a Limit?**Day 2:**Evaluating Limits Graphically**Day 3:**Evaluating Limits with Direct Substitution**Day 4:**Evaluating Limits Analytically**Day 5:**Evaluating Limits Analytically**Day 6:**Review 8.1-8.4**Day 7:**Quiz 8.1 to 8.4**Day 8:**Continuity**Day 9:**Continuity**Day 10:**Intermediate Value Theorem**Day 11:**Intermediate Value Theorem**Day 12:**Review 8.5-8.6**Day 13:**Quiz 8.5 to 8.6**Day 14:**Limits at Infinity**Day 15:**Unit 8 Review**Day 16:**Unit 8 Test

###### Unit 9: Derivatives

**Day 1:**Introduction to Derivatives**Day 2:**Average versus Instantaneous Rates of Change**Day 3:**Calculating Instantaneous Rate of Change**Day 4:**Calculating Instantaneous Rate of Change**Day 5:**The Derivative Function**Day 6:**The Derivative Function**Day 7:**Review 9.1-9.3**Day 8:**Quiz 9.1 to 9.3**Day 9:**Derivative Shortcuts**Day 10:**Differentiability**Day 11:**Connecting f and f’**Day 12:**Connecting f and f’**Day 13:**Review 9.4-9.6**Day 14:**Quiz 9.4 to 9.6**Day 15:**Derivatives of Sine and Cosine**Day 16:**Product Rule**Day 17:**Quotient Rule**Day 18:**Review 9.7-9.9**Day 19:**Quiz 9.7 to 9.9**Day 20:**Unit 9 Review**Day 21:**Unit 9 Test

###### Unit 10: (Optional) Conic Sections

**Day 1:**Intro to Conic Sections**Day 2:**Defining Parabolas**Day 3:**Working with Parabolas**Day 4:**Quiz 10.1 to 10.3**Day 5:**Defining Ellipses**Day 6:**Working with Elllipses**Day 7:**Defining Hyperbolas**Day 8:**Working with Hyperbolas**Day 9:**Quiz 10.4 to 10.7**Day 10:**Unit 10 Review**Day 11:**Unit 10 Test