VI. Class 8

A. Participants engage in investigations of Functions

Participants should choose investigations that involve:

• Representations of functions in numerous ways - particularly visually (number lines, tables, lists, scatterplots, etc.);
• Evaluation of functions;
• Determining whether data sets are functions;
• Graphing prototypical functions.

Selected Investigations of Functions for Week 8

• Verbal, graphical, & symbolic representations (Note that all IM investigations can involve various representations)
  • Price of a Car
  • Maximums of a Function
  • Arranging Toothpicks
  • Burglar Alarm
• Discrete versus Continuous Representations
  • Catching Up in Savings
  • Population Changes
  • Collecting Baseball Cards
  • Going to Movies
  • Hot Air Balloons
  • Bouncing Ball
• Defining and identifying functions
  • Input Equals Output
  • Composite Functions
    
  • Piano Frequency
  • Number Machine
• Graphs of prototypical functions
  • Reciprocal Functions

B. Participants continue to add to online portfolio

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Additional Resources for Week 8

• Dictionary Terms with Comprehension Activities
  • Function
  • Graph of a Function
• External Resources
  • The Function Machine
  • xFunctions xPresso Grapher

Return to the Algebra Syllabus.