Access Point #: MAFS.912.G-SRT.2.AP.4a (Archived Access Point)


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Establish facts about the lengths of segments of sides of a triangle when a line parallel to one side of the triangles divides the other two sides proportionally.

Clarifications:

Essential Understandings

Concrete:

  • Label the parts of a triangle.
  • Identify what each variable in the Pythagorean Theorem represents (two sides and the hypotenuse).
  • Use squares to explain the Pythagorean Theorem. Click Here
  • Measure the angles and segments of sides of a triangle sliced by a line parallel to one side of the triangle.
Representation:
  • Understand the following concepts and vocabulary: Pythagorean Theorem, length, right triangle.
  • Use a graphic organizer to calculate a missing side using the Pythagorean Theorem, using appropriate tools as needed.
  • Enter information into the formula for the Pythagorean Theorem.
  • Use the Pythagorean Theorem to calculate missing side lengths.
  • Explain the steps used to solve using the Pythagorean Theorem.
  • Use the angle and segment measurements to determine proportionality.

Number: MAFS.912.G-SRT.2.AP.4a Category: Access Points
Date Adopted or Revised: 07/14 Cluster: Prove theorems involving similarity. (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-SRT.2.4: Prove theorems about triangles. Theorems include: a line parallel to one side of a triangle divides the other two proportionally, and conversely; the Pythagorean Theorem proved using triangle similarity.



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