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: Linear Relationships
Day 6: Linear Relationships (Reasoning with Slope)
Day 7: Set Notation and Interval Notation
Day 8: Unit 0 Review
Day 9: 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: Parent Functions
Day 5: Transformations of Functions
Day 6: Transformations of Functions
Day 7: Even and Odd Functions
Day 8: Quiz (Sections 1.1-1.6)
Day 9: Combinations of Functions
Day 10: Composition of Functions
Day 11: Inverse Functions
Day 12: Inverse Functions
Day 13: Piecewise Functions
Day 14: Unit 1 Review
Day 15: 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: Factor and Remainder Theorem
Day 7: Factor and Remainder Theorem
Day 8: Complex Zeros
Day 9: Connecting Zeros Across Multiple Representations
Day 10: Quiz (Sections 2.3-2.5)
Day 11: Intro to Rational Functions
Day 12: Rational Functions: Zeros, Holes, and Vertical Asymptotes
Day 13: Unit 2 Review
Day 14: 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: Quiz (Sections 3.1-3.3)
Day 5: Logarithmic Functions
Day 6: Graphs of Logarithmic Functions
Day 7: Logarithm Properties
Day 8: Solving Exponential and Logarithmic Equations
Day 9: Exponential and Logarithmic Models
Day 10: Unit 3 Review
Day 11: Unit 3 Test
Unit 4: Trigonometric Functions
Day 1: Right Triangle Trigonometry
Day 2: Inverse Trig Ratios
Day 3: Radians and Degrees
Day 4: The Unit Circle
Day 5: The Unit Circle
Day 6: Other Trig Functions
Day 7: Quiz (Sections 4.1-4.4)
Day 8: Graphs of Sine and Cosine
Day 9: Transformations of Sine and Cosine
Day 10: Graphing Secant and Cosecant
Day 11: Graphing Tangent and Cotangent
Day 12: Quiz (Sections 4.5-4.6)
Day 13: Inverse Trig Functions
Day 14: Trigonometric Modeling
Day 15: Trigonometric Identities
Day 16: Unit 4 Review
Day 17: Unit 4 Review
Day 18: 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
Day 7: Quiz (Sections 5.1-5.4)
Day 8: Polar Coordinates
Day 9: Equations in Polar and Cartesian Form
Day 10: Polar Graphs
Day 11: Polar Graphs
Day 12: Checkpoint Review
Day 13: Checkpoint (Sections 5.5-5.7)
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: Quiz (Sections 6.1-6.3)
Day 5: Solving Systems in Three Variables
Day 6: Solving Systems in Three Variables
Day 7: Partial Fractions
Day 8: Unit 6 Review
Day 9: 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
Day 5: Quiz (Sections 7.1-7.2)
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 (Sections 7.3-7.4)
Day 11: Review Unit 7
Day 12: Unit 7 Test
Unit 8: Limits
Day 1: What is a Limit?
Day 2: Evaluating Limits Graphically
Day 3: Evaluating Limits Analytically
Day 4: Evaluating Limits Analytically
Day 5: Evaluating Limits Analytically
Day 6: Review
Day 7: Quiz (Sections 8.1-8.2)
Day 8: Continuity
Day 9: Continuity
Day 10: Intermediate Value Theorem
Day 11: Intermediate Value Theorem
Day 12: Review
Day 13: Quiz (Sections 8.3-8.4)
Day 14: Limits at Infinity
Day 15: Review Unit 8
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
Day 8: Quiz (Sections 9.1-9.3)
Day 9: Derivative Shortcuts
Day 10: Differentiability
Day 11: Connecting f and f’
Day 12: Connecting f and f’
Day 13: Review
Day 14: Quiz (Sections 9.4-9.6)
Day 15: Derivatives of Sine and Cosine
Day 16: Product Rule
Day 17: The Quotient Rule
Day 18: Review
Day 19: Quiz (Sections 9.7-9.9)
Day 20: Unit 9 Review
Day 21: Unit 9 Test
Unit 10: (Optional) Conic Sections
Day 1: Intro to Conic Sections
Day 2: Parabolas
Day 3: Parabolas
Day 4: Quiz (Sections C.1-C.2)
Day 5: Ellipses
Day 6: Ellipses
Day 7: Hyperbolas
Day 8: Hyperbolas
Day 9: Unit C Review
Day 10: Unit C Test