IX. Class 11

A. Participants investigate Inverses of Functions and Systems of Equations and Inequalities in Two Variables

Participants should choose investigations that involve:

• Inverses, inverse operations, operations on functions, and composition of functions;
• Representing and solving problems using systems of equations with multiple methods including substitution, elimination, and graphing;
• Solving and interpreting problems using systems of inequalities

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

• Quadratic Equations
  • In Between
  • Earthquake Intensity
  • Using Roots to Generate and Equation
  • Discriminant
  • Finding the Maximum
• Rates of Change
  • Late to School
  • Slope of a Curve
  • Slope of a Parabola
• Behaviors of Nonlinear Functions
  • Exponential Functions
  • Maximum of Functions
  • Symmetry of Polynomial Functions
  • Properties of Parabolas
  • Reciprocal Functions

B. Discuss and brainstorm ideas about modifying InterMath experience for a middle school mathematics classroom

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Additional Resources for Week 11

• Dictionary Terms with Comprehension Activities
  • Evaluate an Algebraic Expression
  • Exponential
  • FOIL Pattern
  • Maximum
  • Minimum
  • Parabola
  • Quadratic Equation
  • Quadratic Function
  • Reciprocals
  • Solving an Equation
• External Resources
  • Completing the square-Solving Quadratics
    
  • Completing the square
    
  • Solving Quadratic Inequalities
    

Return to the Algebra Syllabus.