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Unit Plan

Relationships Between Quantities and Reasoning with Equations and Their Graphs

Curated and Reviewed by Lesson Planet
This Relationships Between Quantities and Reasoning with Equations and Their Graphs unit plan also includes:

Graphing all kinds of situations in one and two variables is the focus of this detailed unit of daily lessons, teaching notes, and assessments. Learners start with piece-wise functions and work their way through setting up and solving quadratic equations, systems of linear equations, and systems of inequalities. Throughout the unit, a high importance is placed on describing and interpreting results, not just reporting numerical answers. The level of detail in the daily teaching notes and answer keys makes this extensive unit a nearly turn-key addition to any curriculum.

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CCSS: Designed
Concepts
graphing functions, solving inequalities, solution set, systems of equations, problem solving strategies
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Additional Tags
math
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Instructional Ideas
  • Consider breaking up the unit and using individual parts as remediation or supplements to existing curriculum
  • Have pairs of students time each other traveling a path in different ways then graphing the piecewise function
  • Use systems of equations and inequalities to develop a mock business model by accounting for overhead, taxes, supply, and demand of a product, etc.
  • Great unit for a long-term substitute situation or homebound learners
Classroom Considerations
  • Teaching notes contain remediation and accommodation suggestions for tricky parts throughout the individual lessons
  • Student worksheets are attached in the resources section, matching the daily homework answer keys in the teaching references
  • Each day's assignments depend highly on the prior days, perhaps requiring out-of-class remediation for absent students to catch back up
Pros
  • Detailed plans, remediation, and assignments included for every day of the multi-week unit
  • Clear emphasis on analyzing and interpreting results
  • Daily lessons gradually build math skills and develop math intuition based on previous work
  • Multiple situations and topics covered in the problem sets appeal to a wide variety of interests
Cons
  • Work on piece-wise functions, setting up polynomials, and solving quadratics is not spiraled into later work on solving equations/inequalities and systems of equations/inequalities