VIII. Class 10

A. Participants continue exploration of Linear Functions and Linear Inequalities

Participants should choose investigations that involve:

• Fundamentals of linear equations (e.g., intercepts, zeros, slope/rate of change);
• Equations of lines in various forms including linear combination form, slope-intercept form, etc.;
• Linear inequalities;
• Piecewise-defined linear functions;
• Linear approximation (e.g., midpoint, distance, fitting line to data)

1. Introduction of dynamic geometry software using one of the following:
• Slopes and Angles of Elevation
• Distance to a Point in a Rectangle

For more examples of problems that benefit from dynamic geometry software, see the "Geometry Relations and Connections" section of the Algebra Clusters page.

 

2. Focus on investigations of linear inequalities, linear approximation and piecewise-defined linear functions

• Linear Inequalities
  • Multiple Inequalities
  • All Swimmed Out
  • The Third Side
  • Shark Attack
  • What is this Point?
• Piecewise-defined Functions
  • Math in Motion
  • Absolute Value Functions and Transformations
• Linear Approximation
  • Crossing Curves
  • Finding the Midpoint
  • In Between
  • Travel of Ant Z on a Parabola
  • All Swimmed Out
  • As the Crow Travels
  • Distance to a Point in a Rectangle
  • Decimal Pattern
  • Population Changes
  • Piano Frequency
  • How Much is that Car
  • Basketball Performance
  • The Deep Freeze
  • Home Run Kings
  • Piano Frequency

B. Participants add write-ups to their online portfolios

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Additional Resources for Week 10

• Dictionary Terms with Comprehension Activities
  • Inequalities
  • Line of Best Fit
  • Rise
  • Run
  • Slope
  • Slope-intercept formula
  • x-Intercept
  • y-intercept
• External Resources
  • Slope of a Straight Line
  • Finding the Slopes of Lines
  • Slope Calculation
  • Direct Variation
  • Piecewise Linear Functions
  • Spreadsheet Explorations of Piecewise-defined and Step Functions
  • Piecewise-defined Functions
  • Least Squares Fit Line

Return to the Algebra Syllabus.