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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

Lessons

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
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