Representing Inequalities

Aim: How do we represent inequalities?

Course: Algebra I

Lesson Introduction: Explain the difference between equality, equity, and inequality. (You do not have to relate this to math.)

Task Rating (see the equity task rubric for details) 

  • Rigor: 0
  • Diversity: 0 
  • Identity: 2
  • Justice: 0

Teacher Notes:

  • Equality: the state of being equal (having the same value)
  • Equity: the quality of being fair or impartial; the value of a mortgaged property after deduction of charges against it
    • Equity can refer to inequality (difference between the value of a property after deduction of charges against it, such as the equity in a house) or equality (bringing unequal quantities to a state where they have the same value).
    • Equity can refer to a part of a whole (e.g. a stockholder’s equity in a company) or unequal wholes.
    • Equity is often associated with “fairness” (quality of being fair or impartial, i.e. treating all people equally).
  • Inequality: the state of being unequal (not having the same value)
  • Just as the words equality, equity, and inequality sound similar but have different meanings in a social studies or English class, these words have different meanings in math.

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