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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?
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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):
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?
How are the segments and/or lines that form the points of concurrency distinguished from each other?
What are the similarities and differences in constructing altitudes, medians, angle bisectors, and perpendicular bisectors of sides of triangles?
Concept: ___OBJECTIVES___5___Concept: ___OBJECTIVES___6___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):
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:
Acquisition Lesson(s):
1. What is learned from the investigation of Inverses, Contrapositives, and Indirect reasoning?Extended Thinking Lesson(s):
1. What is learned from the investigation of Inverses, Contrapositives, and Indirect reasoning?