Course Title: Geometry

Grade: 8

Credits: 1

A. Course Description:

Geometry is a survey of Geometry, emphasizing the history of mathematics and proofs.

B. Course Objectives/Methods:

Geometry is a broad overview of the study of shape. It includes a general history of mathematics, the study of line, angle, and a variety of shapes. The derivation of theorems and justification of information is accomplished by proofs. This leads to a natural discussion of the nature of mathematics as a formal language. Emphasis will be placed on formal construction.

C. Course Goals:

Students will be able to do the Following:

  • Recognize the order, design, and beauty in the world around us, both in nature and in man-made inventions.
  • Recognize uses of geometry in man made construction
  • Construct a variety of shapes and lines with given criteria
  • Develop construction skills to the extent that new constructions can be made based on previous knowledge
  • Express abstract thought precisely in formal proofs.
  • Memorize tens of theorems necessary to write proofs.
  • Utilize triangle congruence as a means to describe larger shapes.
  • Understand geometrical relationships by means of geometry problems.

D. Teacher Materials:

Geometry, University of Chicago School of Mathematics.

E. Student Materials:

Geometry, University of Chicago School of Mathematics.

Euclid's 13 Elements, book 1.

Compass, protractor and straight edge

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