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Print Sampler - Geometry

Program Overview for Geometry
(Homeschooling and Independent Study)

The Program Overview for Geometry is a general description of procedures for using the VideoText Interactive materials in the setting of Homeschooling and/or Independent Study.  It includes the philosophical basis for the program, and suggests strategies for effective implementation.

 

Course Schematic for Geometry
(Homeschooling and Independent Study)

The Course Schematic for Geometry is a diagram of the entire VideoText Interactive Geometry course, listing all of the concept lessons in each unit, from the Geometry Readiness level, through the Trigonometry level.  It is in an easy-to-read outline format, and is designed to be printed out on either 8½” x 11” or
11” x 17” paper.

 

Scope and Sequence Rationale for Geometry
(Homeschooling and Independent Study)

The Scope and Sequence Rationale for Geometry is a description of the logical sequencing of concepts in the VideoText Interactive Geometry course, with a detailed rationale supporting this orderly arrangement.  It is important to note that this is a formal study of Plane Geometry, which gives significant attention to definitions and postulates, as “rules-of-the-game” of Geometry.  As such, formal proof is an essential part of the study, and is incorporated, using the basic principles Logic.  In addition, Trigonometry is considered a valuable application of Geometry, and is explored in much more detail than in traditional Geometry courses.

 

First Sample Geometry Video Lesson (Unit I – Part B – Lesson 1 – "Undefined Terms")
(Homeschooling and Independent Study)

In order to play a game efficiently, and with success, it is important to know, and understand, the “rules” of that game.  In the same way, before beginning a formal study of Plane Geometry, it is absolutely essential that students know, and understand, the basic assumptions which will be used to engage in that study.  Further, because there are many different Geometries, there are certain fundamental terms and relationships associated with each Geometry that will be accepted without definition, and without proof.
In this lesson, that concept is explored in detail, noting the basic differences between a few of the more common Geometries.

 

Second Sample Geometry Video Lesson (Unit I – Part C – Lesson 3 – "Measurement of Triangles")
(Homeschooling and Independent Study)

To this point in the study of measurement of plane geometric figures, students have discovered that the measurement of the perimeter of a polygon is a very simple and straightforward concept.  Further, the measurement of the area of a polygon is also a very simple and clear concept, if each polygon is examined in light of its relationship to a rectangle.  In this lesson, that notion is applied to triangles, as they exist in Plane Geometry.