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Mathematics (2019) Grade(s): 09-12 - Geometry with Data Analysis

MA19.GDA.4

Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations.

Examples

Example: Rearrange the formula for the area of a trapezoid to highlight one of the bases.

Unpacked Content

Essential Questions

Learning Objectives:
GEO.4.1: Accurately rearrange equations and inequalities to produce equivalent forms for use in resolving situations of interest.

Knowledge

Students know:
  • Properties of equality and inequality

Skills

Students are able to:
  • Accurately rearrange equations or inequalities to produce equivalent forms for use in resolving situations of interest.

Understanding

Students understand that:
  • The structure of mathematics allows for the procedures used in working with equations to also be valid when rearranging formulas, The isolated variable in a formula is not always the unknown and rearranging the formula allows for sense-making in problem solving.

Vocabulary

  • Literal equations
  • Variable
  • Constant
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