Student Learning Map

  • Topic:Triangle Relationships
  • Subject(s):Math
  • Days:10
  • Grade(s):9, 10, 11, 12
Key Learning: Special lines and segments create relationships within triangles. Inequalities in triangles leads to relationships between sides and angles.
Unit Essential Question(s):
 
 
What special relationships occur in triangles and how are these relationships used to prove relationships in other figures? How would you describe the relationships that occur when inequalities occur in one triangle?
   
Concept: Midsegments of Triangles
Concept: Bisectors in Triangles
Concept: Concurrent Lines, Medians and Altitudes
Lesson Essential Question(s):

What is a midsegment and how is the Midsegment Theorem applied in solving the lengths of segments in a triangle? (A)

Lesson Essential Question(s):

How are the Perpendicular Bisector Theorem and its converse applied in real life applications? (ET)

How are the Angle Bisector Theorem and its converse applied in real life applications? (A)

How are the Angle Bisector Theorem and its converse applied in real life applications? (ET)

Lesson Essential Question(s):

What are the points of concurrency in a triangle and how are they formed?

(A)

How are the segments and/or lines that form the points of concurrency distinguished from each other?

(ET)

What are the similarities and differences in constructing altitudes, medians, angle bisectors, and perpendicular bisectors of sides of triangles?

(A)

Concept: Inequalities in Triangles
Concept:
Concept:
Lesson Essential Question(s):

How can the existence of a triangle be determined? (A)

How is the Perpendicular Bisector Theorem and its converse applied in real life applications? (ET)

How can the existence of a triangle be determined? (ET)

What are the points of concurrency in a triangle and how are they formed? (A)

How is the longest side of a triangle determined given the measure of the largest angle? (A)

How are the segments and/or lines that form the points of concurrency distinguished from each other? (A)

How is the largest angle of a triangle determined given the measure of the longest side? (A)

Lesson Essential Question(s):
Lesson Essential Question(s):
Vocabulary:

Hinge Theorem

Vocabulary:

Vocabulary:

Additional Info:

Ask an experienced coworker for additional reference texts and/or other materials.

Classes using the McDougal-Littell book may use www.classzone.com as a resource.

Prentice Hall Geometry Ch.5.1-5.3, 5.5

Text Ancillary Materials

Scientific Calculator, Protractor, Graph Paper

FCAT Explorer

Mission FCAT

Polk County FCAT Item Test Bank

www.PHSchool.com

Kaplan Lesson Plans

Resources:

Vocabulary Report

  • midsegments -
  • distance from a point to a line -
  • concurrent -
  • Hinge Theorem -
  • coordinate proofs -
  • point of concurrency -
  • circumcenter of a triangle -
  • circumscribed about -
  • incenter of a triangle -
  • inscribed in -
  • median of a triangle -
  • centroid -
  • altitude of a triangle -
  • orthocenter of a triangle -