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:

 

  • Write expressions (R/L/E & trig/inverse trig) in equivalent forms
  • Use polynomial identities (ex: the Binomial Theorem) to solve problems
  • Create equations that describe numbers or relationships and solve equations in one variable
  • Define trigonometric ratios and solve problems involving right triangles
  • Apply trigonometry to general triangles
  • Extend the domain of trigonometric functions using the unit circle
  • Model periodic phenomena with trigonometric functions
  • Prove and apply trigonometric identities
  • Translate between the geometric description and the equation for a conic section
  • Interpret functions (R/L/E, trig, polar, parametric) that arise in applications in terms of the context
  • Analyze functions (R/L/E, trig, polar, parametric) using different representations (graphing)
  • Perform arithmetic with complex numbers
  • Represent complex numbers and their operations on the complex plane
  • Use complex numbers in polynomial identities and equations
  • Build a function (R/L/E, trig, polar) that models a relationship between two quantities

 

Course content and structure:

 

  • Unit 1: Exponential, Logarithmic, and Rational Functions (R/L/E) – August/September (5 weeks)
  • Unit 2: Trigonometric Functions: Unit Circle, Properties & Graphs – October (4 weeks)
  • Unit 3: Analytic Trigonometry: Identities, Formulas & Equations – November/December (6 weeks)
  • Unit 4a: Applications of Trigonometric Functions – January (2 weeks)
  • MID TERM EXAM on UNITS 1 – 4a - January
  • Unit 4b: Introduction to Conics – January/February (4 weeks)
  • Unit 5: Polar & Parametric Equations and the Complex Plane – March/April (5 weeks)
  • Unit 6: Sequences, Series and the Binomial Theorem – April/May (4 weeks)
  • Unit 7: Limits and the Introduction of Derivative and Integral – May/June (4 weeks)

 

Assessments:

 

  • Summative Classwork -  (3 to 4 days a week)
    • Ex: Textbook- & Worksheet-based Exercises & Word Problems, Labs, Projects & Performance Tasks
  • Summative Assessments – (about once every 6 – 10 class periods)
  • Ex: Quizzes on Individual Standards, Unit Tests on Multiple Standards


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