WINDSOR LOCKS HIGH SCHOOL
Mathematics
COURSE SYLLABUS
Course #: 440 Title: Pre-Calculus Level: A&H Credit: 1
Prerequisites: Algebra I, Geometry and Algebra II and teacher recommendation
Textbooks: Pre-Calculus: Graphing & Data Analysis (2nd Edition) by Sullivan & Sullivan III (2001)
Additional Required Materials: Texas Instruments TI-83 (or higher) graphing calculator
Course Objectives: Students will be able to:
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Write expressions (R/L/E & trig/inverse trig) in equivalent forms
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Use polynomial identities (ex: the Binomial Theorem) to solve problems
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Create equations that describe numbers or relationships and solve equations in one variable
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Define trigonometric ratios and solve problems involving right triangles
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Apply trigonometry to general triangles
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Extend the domain of trigonometric functions using the unit circle
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Model periodic phenomena with trigonometric functions
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Prove and apply trigonometric identities
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Translate between the geometric description and the equation for a conic section
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Interpret functions (R/L/E, trig, polar, parametric) that arise in applications in terms of the context
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Analyze functions (R/L/E, trig, polar, parametric) using different representations (graphing)
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Perform arithmetic with complex numbers
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Represent complex numbers and their operations on the complex plane
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Use complex numbers in polynomial identities and equations
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Build a function (R/L/E, trig, polar) that models a relationship between two quantities
Course content and structure:
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Unit 1: Exponential, Logarithmic, and Rational Functions (R/L/E) – August/September (5 weeks)
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Unit 2: Trigonometric Functions: Unit Circle, Properties & Graphs – October (4 weeks)
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Unit 3: Analytic Trigonometry: Identities, Formulas & Equations – November/December (6 weeks)
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Unit 4a: Applications of Trigonometric Functions – January (2 weeks)
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MID TERM EXAM on UNITS 1 – 4a - January
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Unit 4b: Introduction to Conics – January/February (4 weeks)
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Unit 5: Polar & Parametric Equations and the Complex Plane – March/April (5 weeks)
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Unit 6: Sequences, Series and the Binomial Theorem – April/May (4 weeks)
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Unit 7: Limits and the Introduction of Derivative and Integral – May/June (4 weeks)
Assessments:
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Summative Classwork - (3 to 4 days a week)
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Ex: Textbook- & Worksheet-based Exercises & Word Problems, Labs, Projects & Performance Tasks
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Summative Assessments – (about once every 6 – 10 class periods)
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Ex: Quizzes on Individual Standards, Unit Tests on Multiple Standards