Lesson Plan: Inequalities and Interval Notation Mathematics

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to solve simple and compound linear inequalities and how to express their solutions using interval notation.


Students will be able to

  • recognize the properties of inequalities over the real numbersโ€”that is, for an inequality ๐ด<๐ต we have
    • addition property (๐ด+๐ถ<๐ต+๐ถ) where ๐ถ is a real number,
    • multiplication by a positive real number (if ๐ถ>0 then ๐ด๐ถ<๐ต๐ถ),
    • multiplication by a negative real number (if ๐ถ<0 then ๐ด๐ถ>๐ต๐ถ),
  • solve simple inequalities and represent their solutions on a number line and in interval notation,
  • solve more complicated inequalities, including compound inequalities, and represent their solutions on a number line and in set notation,
  • solve inequalities including radical coefficients.


Students should already be familiar with

  • solving equations and representing their solutions on a number line,
  • solving equations involving radical coefficients,
  • solving one- and two-step inequalities,
  • intervals and set notation,
  • real numbers and operations on them.


Students will not cover

  • nonlinear inequalities,
  • two-variable inequalities.

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