Polynomial, Rational, and Radical Relationships

This Polynomial, Rational, and Radical Relationships worksheet also includes:

This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another, teasing out features of polynomials way past the common maxima, minima and solution features. The attached worked solutions are clear and accurate, and they stress the importance of clear mathematical thought and reasoning over rote memorization.

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CCSS: Designed
Additional Tags
Instructional Ideas
  • Good for content-specific substitute plans
  • Could be broken apart for specific task remediation
Classroom Considerations
  • Assessment items are in order of the module lessons described in the Table of Contents. The module lessons are not included so the items could require re-arranging
  • Assumes students are comfortable with a variety of precursor skills (distance formula, polynomial division, etc.)
  • Questions require synthesis and explanation beyond calculation
  • Clearly worked step-by-step solutions
  • Emphasis on moving fluidly between graphing and algebra
  • Many of the pages are references for a module unit that is not attached