College Algebra and Trigonometry

Avon Lake City Schools

Curriculum Framework

College Algebra & Trigonometry

Course Overview:

This course differs from Pre-Calculus in that fewer objectives and applications are required. Trigonometry and other functions are stressed. A graphing calculator is required (TI-83 or TI-84, approximate cost: $100-$110). Prerequisite: A student should have at least a “C” average or better in the previous course(s). This class meets one period daily for ½ unit of credit each semester.

Textbook (Title and Publishing Company):

Algebra and Trigonometry 8th Ed.

Online/Supplemental Materials:

  • Delta Math
  • Desmos

Assessments:

Common assessments will be given among all College Algebra and Trigonometry courses.

Content/Topics/Learning Goals

Subject to Pacing and Schedules

1st Quarter

Unit 1: Preliminary Concepts, Equations and Inequalities

  • Real Number System
  • Integer and Rational Number Exponents
  • Polynomials
  • Factoring
  • Rational Expressions
  • Complex Numbers
  • Linear and Absolute Value Equations
  • Formulas and Applications
  • Quadratic Equations

2nd Quarter

  • Polynomial, Rational, Radical and Rational Exponent Equations

Unit 2: Functions and Graphs and Exponential and Logarithmic Functions

  • Two Dimensional Coordinate System and Graphs
  • Linear, Quadratic, Cubic, Square and Cubed Root Functions and their graphs with transformations

Unit 3: Trigonometric Functions & Trigonometric Identities and Equations Angles and Arc

  • Right Triangle Trigonometry

3rd Quarter

Unit 3: Trigonometric Functions & Trigonometric Identities and Equations Angles and Arc

  • Trigonometry Functions of Acute Angles and Any Angle
  • Trigonometry Functions of Real Numbers
  • Graphs of Sine, Cosine and Tangent Functions
    • Graphing using transformations
  • Trigonometric Identities
  • Trigonometric Equations
  • Double Angles (if time allows)

4th Quarter

Unit 4: Polynomial and Exponential Functions

  • The Factor Theorem
  • Zeros of Polynomial Functions
  • Exponential and Logarithmic Equations
  • Exponential Growth and Decay
  • Graphs of Rational Functions and their Applications (if time allows)

Last updated: September, 2023