3. Student Learning Map

  • Topic:03. Parallel and Perpendicular Lines (Chapter 3)
  • Subject(s):Math
  • Days:11
  • Grade(s):9, 10
Key Learning: Parallel and perpendicular line properties lead to several angle relationships.
Unit Essential Question(s):
 
 

How are parallel and perpendicular line properties used to define angle relationships?

   
Concept:

Properties of Parallel Lines

PH: 3.1

MCD: 3.2

Concept:

Proving Lines are Parallel

PH: 3.2

MCD: 3.3

Concept:

Lines in the Coordinate Plane

PH: 3.5

MCD: 13.2, 13.6, 13.7

Lesson Essential Question(s):

What angle relationships exist when lines are parallel? (A)
Lesson Essential Question(s):

What are the different ways to prove lines parallel? (A)

(ET)
Lesson Essential Question(s):

How are lines on the coordinate plane expressed algebraically? (A)
Concept:

Slopes of Parallel and Perpendicular Lines

PH: 3.6

MCD: 13.3

Concept:

Constructing Parallel and Perpendicular Lines

PH: 3.7

MCD: 10.2

Concept:
Lesson Essential Question(s):

What are the relationships between slopes of parallel and perpendicular lines? (A)

(ET)
Lesson Essential Question(s):

How is a parallel or perpendicular line constructed to a given line using only a compass and a straightedge?

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

Vocabulary:

Vocabulary:

Additional Information:

Prentice Hall Geometry Textbook sections 3.3 and 3.4 will show up in later units.

Prentice Hall Geometry Textbook Chapter 3 (3.1, 3.2, 3.5-3.7)

Geometry (McDougal/Littell-Jergensen/Brown/Jergensen) Textbook Chapter 2 (2.5), Chapter 3 (3.2-3.3), Chapter 10 (10.2), and Chapter 13 (13.2, 13.3, 13.6, 13.7)

Calculator, straightedge, compass, graph paper

Also include Language Arts Benchmarks: LA.910.1.6.1 (use of vocabulary), LA.910.1.6.2 (read and discuss text), LA.910.1.6.5 (relate new vocabulary), and LA.910.3.1.3 (use organizational strategies and tools (e.g., technology, spreadsheet, outline, chart, table, graph, Venn Diagram)).

Resources:

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Acquisition Lesson:

Extending Thinking Lesson:

Vocabulary Report

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