Precalculus Syllabus
Online, 2021-2022
Mr. Owens |
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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 |