Access Point #: MAFS.912.G-CO.3.AP.11a (Archived Access Point)


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Measure the angles and sides of parallelograms to establish facts about parallelograms.

Clarifications:

Essential Understandings

Concrete:

  • Draw or construct a parallelogram.
  • Measure the angles and sides of a parallelogram to show congruence.
  • Draw diagonals on a parallelogram.
  • Use paper folding to determine congruent angles and sides, diagonals, medians, and midpoints of a parallelogram.
Representation:
  • Identify characteristics of parallelograms.
  • Understand the following concepts and vocabulary: acute, obtuse, right, parallelogram, rectangle, rhombus, square, base angles, midpoints, median, congruent, bisect, diagonals.
  • Label and describe congruent parts of parallelograms.
  • Construct diagonals and medians of parallelograms.
  • Use descriptions of characteristics of figures to identify and classify figures (i.e., parallelograms with congruent diagonals are rectangles).

Number: MAFS.912.G-CO.3.AP.11a Category: Access Points
Date Adopted or Revised: 07/14 Cluster: Prove geometric theorems. (Geometry - Major Cluster)

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

Related Standards

Name Description
MAFS.912.G-CO.3.11: Prove theorems about parallelograms; use theorems about parallelograms to solve problems. Theorems include: opposite sides are congruent, opposite angles are congruent, the diagonals of a parallelogram bisect each other, and conversely, rectangles are parallelograms with congruent diagonals.



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