Student Learning Map

  • Topic:Parallel and Perpendicular Lines
  • Subject(s):Math
  • Days:10
  • 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):
 
 
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?
   
Concept: Properties of Parallel Lines
Concept: Proving Lines Parallel
Concept:

Characteristics of Lines in a Coordinate Plane

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):

What are the three forms fro the equation of a line?

(A)

How is the most appropriate form of the equation of a line determined, given particular information?

(ET)

Concept: Constructions of Parallel and Perpendicular Lines
Concept:
Concept:
Lesson Essential Question(s):

How can a two-column proof be used to prove theorems? (A)

What are the two methods for constructing parallel lines?

(A)

What are the two methods for constructing parallel lines?

(ET)

What are the two methods for constructing perpendicular lines?

(A)

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

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.3.1, 3.2, 3.5-3.7

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

  • transversal -
  • flow -
  • flow proof -
  • alternate interior angles -
  • slope-intercept form -
  • proof -
  • same-side interior angles (consecutive interior angles) -
  • standard form -
  • corresponding angles -
  • point-slope form -
  • alternate exterior angles -
  • two-column proof -