Lesson Plan: Properties of Parallelograms Mathematics

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to determine whether a quadrilateral is a parallelogram and use the properties of parallelograms to find unknown angles or lengths.

Objectives

Students will be able to

  • recognize the following properties of a parallelogram,
    • opposite sides are parallel,
    • opposite sides are equal in length,
    • opposite angles are equal in measure,
    • the sum of two adjacent angles is 180,
    • the diagonals bisect each other,
  • identify the following special cases of a parallelogram,
    • rectangles,
    • rhombuses,
    • squares,
  • classify quadrilaterals,
  • use the properties of quadrilaterals to find missing lengths and angles in geometric figures.

Prerequisites

Students should already be familiar with

  • properties of rectangles and squares,
  • using geometric notation for line segments, line lengths, angles, and angle measures,
  • parallel and perpendicular lines.

Exclusions

Students will not cover

  • finding angles (other than right angles) formed by intersecting diagonals (e.g., finding the angle formed by the diagonals of a rectangle).

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