Precalculus>Trigonometric Functions
Unit 4: Trigonometric Functions
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