Lesson Plan: Properties of Rectangles and Squares Mathematics

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to describe the properties of rectangles and squares, including relationships between the sides, the diagonals, and the measures of the angles.

Objectives

Students will be able to

  • observe and describe the properties of rectangles,
  • observe and describe the properties of squares,
  • investigate the lengths of opposite sides of both rectangles and squares,
  • investigate the measures of the angles of both rectangles and squares,
  • explain the meaning of the term diagonal as applied to quadrilaterals,
  • explain that the diagonals of a square are perpendicular, equal in length, and bisect each other,
  • explain that the diagonals of a rectangle that is not a square are not perpendicular but are equal in length and bisect each other.

Prerequisites

Students should already be familiar with

  • using geometric notation for line segments, line lengths, angles, and angle measures,
  • the definition of a right angle,
  • perpendicular lines and line segments,
  • the fact that a square is a special example of a rectangle.

Exclusions

Students will not cover

  • properties of quadrilaterals other than squares and rectangles,
  • finding the measures of angles (other than right angles) formed by intersecting diagonals.

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