Precalculus Syllabus
Online, 2021-2022
Mr. Owens
Week What to do this week Assignments
Week 1
☐   Chapter 1
☐   Lesson 1: Sets, Real Numbers, Inequalities, etc.
☐   Lesson 2: Exponents and Radicals
☐   Lesson 3: Polynomials, Geometry Formulas
☐   Lesson 4: Equations, Quadratic Equations
☐   HW 1A
☐   Lesson 5: Mathematical Modeling
☐   Lesson 6: Mathematical Modeling
☐   HW 1B
   HW 1A
   HW 1B
Week 2
☐   Lesson 7: Inequalities
☐   Lesson 8: Polynomial and other Inequalities
☐   HW 1C
☐   Lesson 9: Complex Numbers
☐   Lesson 10: The Number i, Negative Discriminants
☐   Lesson 11: Rectangular Coordinates
☐   W 1D
☐   Lesson 12: Graphing Equations
   HW 1C
   HW 1D
Week 3
☐   Lesson 13: Circles
☐   Lesson 14: Slope and Equations of Lines
☐   Lesson 15: Parallel and Perpendicular Lines
☐   HW 1E
☐   HW 1F and 1G (Honors)
☐   Chapter 1 Test
   HW 1E
   HW 1F (Honors)
   HW 1G (Honors)
   Chapter 1 Test
Week 4
☐   Chapter 2
☐   Lesson 1: Definition of a Function
☐   Lesson 2: The Graph of a Function
☐   Lesson 3: Function Notation, Difference Quotients
☐   Lesson 4: Important Functions
☐   Lesson 5: Piecewise Functions
☐   HW 2A
☐   Lesson 6: Graphing Functions
☐   Lesson 7: Scaling a Graph Vertically
☐   Lesson 8: Combining Graphing Procedures
☐   HW 2B
   HW 2A
   HW 2B
Week 5
☐   Lesson 9: Operations on Functions
☐   Lesson 10: Composite Functions
☐   HW 2C
☐   Lesson 11: One-to-one Functions
☐   Lesson 12: Inverse Functions
☐   Lesson 13: Mathematical Models
☐   Lesson 14: Mathematical Models
☐   HW 2D
☐   HW 2E, HW 2F (Honors)
☐   Chapter 2 Test
   HW 2C
   HW 2D
   HW 2E (Honors)
   HW 2F (Honors)
   Chapter 2 Test
Week 6
☐   Chapter 3
☐   Lesson 1: Quadratic Functions
☐   Lesson 2: Graphing Quadratics
☐   Lesson 3: Applications
☐   HW 3A
☐   Lesson 4: Polynomial Functions
   HW 3A
Week 7
☐   Lesson 5: Graphing Polynomial Functions
☐   Lesson 6: Analyzing Graphs of Polynomials
☐   HW 3B
☐   Lesson 7: Rational Functions
☐   Lesson 8: Asymptotes
   HW 3B
Week 8
☐   Lesson 9: Graphing Rational Functions
☐   Lesson 10: Graphing Rational Functions
☐   HW 3C
☐   Lesson 11: Division of Polynomials
☐   Lesson 12: Synthetic Division
☐   HW 3D
☐   Lesson 13: Zeros of a Polynomial
   HW 3C
   HW 3D
Week 9
☐   Lesson 14: Finding Real Zeros
☐   Lesson 15: Approximating Real Zeros
☐   HW 3E
☐   Lesson 16: The Fundamental Theorem of Algebra
☐   Lesson 17: Complex Polynomials
☐   HW 3F and HW 3G (Honors)
☐   Chapter 3 Test
   HW 3E
   HW 3F (Honors)
   HW 3G (Honors)
   Chapter 3 Test
Week 10
☐   Chapter 4
☐   Lesson 1: Exponential and Logarithmic Functions
☐   Lesson 2: The Base e
☐   Lesson 3: Logarithmic Functions
☐   Lesson 4: Graphs of Logarithmic Function
☐   HW 4A
☐   Lesson 5: Properties of Logarithms
☐   Lesson 6: Logarithms on a Calculator
☐   HW 4B
   HW 4A
   HW 4B
Week 11
☐   Lesson 7: Logarithmic Equations
☐   Lesson 8: Exponential Equations
☐   HW 4C
☐   Lesson 9: Compound Interest
☐   Lesson 10: Compound Interest
   HW 4C
Week 12
☐   Lesson 11: Growth and Decay
☐   Lesson 12: Radioactive Decay
☐   HW 4D
☐   Lesson 13: Logarithmic Scales
☐   HW 4E (Honors)
☐   Chapter 4 Test
   HW 4D
   HW 4E (Honors)
   Chapter 4 Test
Week 13
☐   Review for Exam
Week 14
☐   Semester 1 Exam
Week 15
☐   Chapter 5
☐   Lesson 1: Angles and Degrees
☐   HW 5A
☐   HW 5B
☐   Lesson 2: Circular Motion
☐   Lesson 3: The Unit Circle
☐   Lesson 4: Trig Functions of Common Angles
☐   Lesson 5: Domain and Range of Trig Functions
☐   HW 5C
☐   Lesson 6: Fundamental Identities
   HW 5A
   HW 5B
   HW 5C
Week 16
☐   Lesson 7: Right Triangle Trigonometry
☐   Lesson 8: Reference Angles
☐   Lesson 9: Solving Right Triangles
☐   Lesson 10: Applications
☐   HW 5D
☐   Test on Chapter 5
   HW 5D
   Chapter 5 Test
Week 17
☐   Chapter 6
☐   Lesson 1: Graphs of the Sine Function
☐   Lesson 2: Graphs of the Cosine Function
☐   Lesson 3: Sinusoidal Graphs
☐   HW 6A
☐   Lesson 4: Phase Shifts
☐   HW 6B
☐   Lesson 5: Combining Waves
☐   Lesson 6: Simple Harmonic Motion
   HW 6A
   HW 6B
Week 18
☐   Lesson 7: Graphs of the Tangent Function
☐   Lesson 8: Graphs of Cosecant, Secant, Cotangent
☐   HW 6C
☐   Lesson 9: Inverse Sine
☐   Lesson 10: Inverse Cosine
☐   Lesson 11: Inverse Tangent
☐   Lesson 12: Expressions involving Trig Functions
☐   HW 6D
☐   Test on Chapter 6
   HW 6C
   HW 6D
   Chapter 6 Test
Week 19
☐   Chapter 7
☐   Lesson 1: Trigonometric Identities
☐   HW 7A
☐   Lesson 2: Sum and Difference Formulas
☐   Lesson 3: Sum and Difference Formulas
☐   HW 7B
☐   HW 7C
   HW 7A
   HW 7B
   HW 7C
Week 20
☐   Lesson 4: Double Angle Formulas
☐   Lesson 5: Half Angle Formulas
☐   HW 7D
☐   Lesson 6: Sum to Product and Product to Sum Formulas
☐   Lesson 7: Trigonometric Equations
☐   Lesson 8: Trigonometric Equations
☐   HW 7E
☐   HW 7F (Honors)
☐   Test on Chapter 7
   HW 7D
   HW 7E
   HW 7F
   Chapter 7 Test
Week 21
☐   Chapter 8
☐   Lesson 1: The Law of Sines
☐   Lesson 2: The Ambiguous Case
☐   Lesson 3: Applications
☐   HW 8A
☐   HW 8B
☐   Lesson 4: The Law of Cosines
   HW 8A
   HW 8B
Week 22
☐   Lesson 5: The Area of a Triangle
☐   HW 8C
☐   Lesson 6: Polar Coordinates
☐   Lesson 7: Polar and Rectangular Conversion
☐   HW 8D
☐   HW 8E
☐   HW 8F
☐   Lesson 8: Polar Equations and Graphs
   HW 8C
   HW 8D
   HW 8E
   HW 8F
Week 23
☐   Lesson 9: Polar Equations and Graphs
☐   Lesson 10: Polar Equations and Graphs
☐   HW 8G
☐   HW 8H
☐   Lesson 11: Complex Numbers
☐   Lesson 12: DeMoivre`s Theorem
☐   HW 8I
☐   Test on Chapter 8
   HW 8G
   HW 8H
   HW 8I
   Chapter 8 Test
Week 24
☐   Chapter 9
☐   Lesson 1: Conic Sections
☐   Lesson 2: Parabolas
☐   Lesson 3: Translation of Parabolas
☐   HW9A
   HW 9A
Week 25
☐   Lesson 4: Ellipses
☐   Lesson 5: Translation of Ellipses
☐   HW 9B
☐   Lesson 6: Hyperbolas
☐   Lesson 7: Translation of Hyperbolas
☐   HW 9C
   HW 9B
   HW 9C
Week 26
☐   Lesson 8: The General Form of a Conic
☐   Lesson 9: Parametric Equations
☐   Lesson 10: Parametric Equations on a Calculator
☐   Test on Chapter 9
   Chapter 9 Test
Week 27
☐   Chapter 10
☐   Lesson 1: Solving Systems
☐   Lesson 2: Solving Systems
☐   Lesson 3: Solving Systems
☐   HW 10A
☐   Lesson 4: Matrix Notation
☐   Lesson 5: Echelon Form
☐   HW 10B
   HW 10A
   HW 10B
Week 28
☐   Lesson 6: Determinants
☐   HW 10C
☐   Lesson 7: Nonlinear Systems
☐   HW 10D
☐   Lesson 8: Systems of Inequalities
☐   HW 10E
☐   HW 10F (Honors)
☐   Chapter 10 Test
   HW 10C
   HW 10D
   HW 10E
   HW 10F (Honors)
   Chapter 10 Test
Week 29
☐   Chapter 11
☐   Lesson 1: Sequences, etc.
☐   Lesson 2: Recursion
☐   Lesson 3: Arithmetic Sequences and Series
☐   HW 11A
   HW 11A
Week 30
☐   Lesson 4: Geometric Sequences and Series
☐   HW 11B
☐   Lesson 5: Mathematical Induction
☐   Lesson 6: The Binomial Theorem
☐   HW 11C
   HW 11B
   HW 11C
Week 31
☐   Second Semester Exam Review
Week 32
☐   Second Semester Exam
Week 33