Student Learning Map

  • Topic:Non-Euclidean Geometry
  • Subject(s):Math
  • Days:5
  • Grade(s):10, 11, 12
Key Learning:

Non-Euclidean geometries exist and should be investigated.
Unit Essential Question(s):
 
 

What are the Non-Euclidean geometries?

What are the similarities and differeces between the non-euclidean and euclidean geometries?
   
Concept: Spherical
LA.1112.1.6.1   LA.1112.1.6.2   LA.1112.1.6.5   MA.912.G.8.1   MA.912.G.8.4  
Concept: Hyperbolic
MA.912.G.8.1   MA.912.G.8.4  
Concept: Other Concepts
MA.912.G.8.1   MA.912.G.8.4  
Lesson Essential Question(s):

What is the difference between parallel lines in spherical and Euclidean geometry?

 (A)

How does the angle-sum-theorem change in spherical geometry?

 (A)

Lesson Essential Question(s):

How are parallel lines different in hyperbolic geometry?

 (A)

How does the angle-sum theorem change in hyperbolic geometry?

 (A)

Lesson Essential Question(s):

How can independent research methods be used to investigate other ideas of noneuclidean geometries?

 (ET)

Who are the mathematicians that have done research in these areas?

 (A)

Vocabulary:

Great Circle, Undefined terms

Vocabulary:

asymptote, hyperbolic parabola

Vocabulary:

eliptical geometry, projective geometry, differential geometry, cosmology

Additional Info:

Resources:

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Student Learning Map of Unit
Vocabulary Report

Culminating Activities:

1. Untitled Culminating Activity

Student Assessment(s):

1. Untitled Student Assessment

Vocabulary Report

  • Great Circle -
  • asymptote -
  • eliptical geometry -
  • Undefined terms -
  • hyperbolic parabola -
  • projective geometry -
  • differential geometry -
  • cosmology -