VII. Class 9

A. Participants begin exploration of Linear Function and Linear Inequalities investigations

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)

Choose from investigations focused on rates of change, linear functions and equations, and equations of lines

• Rates of Change
  • Zero Coefficients
  • Comparing Lines
  • Specific Slopes
  • Comparing Lines
  • Modifying the Slope and the Y-Intercept
  • Varied Slopes and Intercepts
  • Coefficients that Affect the Graph
• Slope
  • Building Roofs
  • Modifying the Slope and Y-Intercept
  • Slopes and Angles of Elevation
  • Varied Slopes & Intercepts
  • Late to School
  • Specific Slopes
  • The Slope of a Parabola
  • The Slope of a Curve
• Intercepts and Zeros
  • Does 0=0?
  • X-intercept transformation
  • Modifying the Slope and the Y-Intercept
  • Comparing Lines
• Equations of Lines
  • Zero Coefficients
  • Triangle from a Line
  • Sliding Graph
  • Supper with Skiing
  • Pricing Pizzas
  • Solutions in a System
  • Comparing Temperatures
  • Library Fines
  • Units of Speed
  • Paper Folding
  • Walking Rates

B. Participants add write-ups to their online portfolios

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Additional Resources for Week 9

• 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.