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What relationships exist between the angles formed by parallel lines and a transversal?
Why is the sum of the measures of the interior angles of a triangle 180 degrees and how will this be used to develop other rules?
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Student Learning Map
- Topic:Parallel and Perpendicular Lines
- Subject(s):Math
- Days:15
- Grade(s):9, 10, 11, 12
Key Learning:
The intersection(s)of lines produce several angle pair relationships.
The sum of the measures of the interior angles of a triangle is 180 degrees and the sum of the measures of the interior angles of a convex polygon is determined by the number of sides.
Unit Essential Question(s):
Concept: Properties of Parallel Lines Concept: Proving Lines Parallel Concept: Classification of Triangles Lesson Essential Question(s):What kinds of angle pairs are formed by two lines intersected by a transversal? (A)What relationships occur with these pairs of angles if the lines are parallel? (ET)How can a proof be used to prove theorems? (A)Lesson Essential Question(s):What are the different ways that two lines can be prove parallel? (A)How would knowing that two lines are parallel help determine the measure of the angles? (ET)Lesson Essential Question(s):How do we classify triangles? (A)How is the measure of the exterior angle of a triangle related to the measures of its remote interior angles? (ET)Concept: Measures of Interior/Exterior Angles of Triangles Concept: Measures of Interior/Exterior Angles of Polygons Concept: Characteristics of Lines in a Coordinate Plane Lesson Essential Question(s):How can a two-column proof be used to prove theorems? (A)Why is the sum of the measures of the interior angles of a triangle 180 degrees? (A)Why is the sum of the measures of the interior angles of a triangle 180 degrees? (ET)Lesson Essential Question(s):How is the Triangle Angle-Sum Theorem used to do find the sum of the measures of the interior angles of a convex polygon? (A)How is the Triangle Angle-Sum Theorem used to do find the sum of the measures of the interior angles of a convex polygon? (ET)How is inductive reasoning used to justify the Polygon Exterior Angle-Sum Theorem? (A)How would knowing that two lines are parallel help determine the measure of the angles? (ET)How is inductive reasoning used to justify the Polygon Exterior Angle-Sum Theorem? (ET)
Additional Info:
Ask an experienced coworker for additional reference texts and/or other materials. Prentice Hall Geometry Ch.3(3.1-3.6) 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. How do we classify triangles?