Algebra I

Historical overview of the evolution of algebra. Explores the various families of functions, in a logical and ascending order from linear to quadratic to rational and, finally, to the family of exponential functions. (THIS IS A SET. Book and DVDs must be checkout together)

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Bibliographic Details
Main Author: Neagoy, Monica
Format: Book
Language:English
Published: Springfield, VA : Teaching Co., 1997.
Series:Great courses ; no. 101.
Subjects:
Table of Contents:
  • disc 1: lessons 1-5. An overview
  • The evolution of numbers
  • The language of algebra
  • Exploring functions with the aid of graphing calculators
  • Linear functions: introductory explorations
  • disc 2: lessons 6-10. Multiple representations of linear functions
  • The geometry of linear function graphs
  • Words, equations, numbers and graphs
  • Problem solving with linear equations
  • Modeling real-world data with linear functions
  • disc 3: lessons 11-15. Linear functions and geometry
  • Quadratic functions: Introductory functions I
  • Quadratic functions: Introductory explorations II
  • The geometry of quadratic function graphs
  • Words, equations, numbers and graphs.
  • disc 4: lessons 16-20. Problem solving with quadratic equations
  • Modeling real-world data with quadratic functions
  • Polynomial explorations
  • Rational functions: introductory explorations
  • The geometry of rational function graphs
  • disc 5: lessons 21-25. Working with rational functions and equations
  • Exponential functions: introductory explorations
  • The geometry of exponential function graphs
  • Working with exponential functions and equations
  • Systems of linear functions and equations
  • disc 6: lessons 26-30. Using matrices to solve linear systems
  • Systems of functions and equations
  • Systems of inequalities
  • Iterating functions: looking at functions recursively
  • Using iteration as a problem solving tool.