|
Master
Course Outline
HSC 062
Geometry 1
|
| Credits: 1-
5 |
Clock Hours per Quarter: 50
AA Discipline:
Lecture Hours:50
|
Description
Fulfills the first half in the fundamentals of plane geometry, covering the vocabulary and concept of geometry through the use of formal proof and algebra. Completion of the geometry sequence prepares students for higher level mathematics courses and for those science courses requiring a working knowledge of geometry. |
Intended Learning Outcomes
Distinguish between inductive and deductive reasoning
Use inductive reasoning to make conjectures, to test the plausibility of a geometric statement, and to help find a counterexample.
Use deductive reasoning to prove that a valid geometric statement is true
Write the converse, inverse, and contrapositive of a valid proposition and determine their validity
Identify errors or gaps in a mathematical argument and develop counterexamples to refute invalid statements about geometric relationships
Distinguish between definitions and undefined geometric terms and explain the role of definitions, undefined terms, postulates (axioms), and theorems
Know, prove, and apply theorems about parallel and perpendicular lines.
Know, prove, and apply theorems about angles, including angels that arise from parallel lines intersected by a transversal.
Explain and perform basic compass and straightedge constructions related to parallel and perpendicular lines
Describe the intersections of lines in the plane and in space, of lines and planes, and of planes in space.
Know, explain, and apply basic postulates and theorems about triangles and the special lines, line segments, and rays associated with a triangle.
Determine and prove triangle congruence, triangle similarity, and other properties of triangles.
Know, prove, and apply the Pythagorean Theorem and its converse.
Solve problems involving the basic trigonometric ratios of sine, cosine, and tangent.
Know, prove, and apply basic theorems about parallelograms.
Know, prove, and apply theorems about properties of quadrilaterals and other polygons.
Know, prove, and apply basic theorems relating circles to tangents, chords, radii, secants, and inscribed angles
Explain and perform constructions related to the circle
Describe prisms, pyramids, parallelepipeds, tetrahedral, and regular polyhedra in terms of their faces, edges, vertices, and properties
Analyze cross-sections of cubes, prisms, pyramids, and spheres and identify the resulting shapes.
|
Course Topics
Logical arguments and proofs
Lines and angles
Two- and three-dimensional figures
|
|
|
Syllabi
Listing
See ALL Quarters
| Course |
Year
Quarter
|
Item
|
Instructor |
|
| HSC 062 |
Fall 2012 |
1669 |
John Hough |
|
|
Two Year Projected Schedule
| Year
One* |
Year
Two** |
Fall |
Winter |
Spring |
Summer |
Mini |
Fall |
Winter |
Spring |
Summer |
Mini |
|
X
|
|
|
|
|
X
|
|
|
|
|
*If fall quarter starts on an odd year (2003, 2005, etc.), it's Year One.
**If fall quarter starts on an even year (2002, 2004, etc.), it's Year Two.
printable version
|
|
