The study of geometry lends itself well to a technique used in this course. You may click on "Go Back" to see the previous frame. Click on "Continue" to see the next frame. On frames that have "Go Back" and "Continue" at the bottom of the frame, there is another option. You should know that you can click anywhere on the frame (other than the two directional labels) or press "Return" to see the frame present itself again. Seeing the frame present itself again can be very important in helping students understand the subject matter. The text and the illustrations appear in a planned sequence within the frame. This makes content easier to visualize and to understand. Each lesson in this practical geometry course is in the format of pretest, a tutorial with concept checks, a redo feature, and a post test. Top
Lesson #1 - Points, Lines, and Planes.. Tutorial explains the basic elements of geometry -- points, sets of points, the dot, and their use in lines, angles, and figures. The tutorial includes plane and solid figures, line intersection, parallel lines, perpendicular lines, and bisecting lines. Module APGE1CD Home Version Win on CD sent via USPS $10.95
Lesson #2 - Angles . Tutorial defines angles -- right, acute, obtuse, complementary, supplementary, adjacent, vertical, and angles caused by transversals. Graphics show the relevance of the circle to measuring angles. Ample examples are given of how the relationship of complementary, supplementary, and vertical angles is important for solving practical problems.
Lesson #4 - Triangles I. Tutorial defines types of triangles, their symbols and vertices, and shows examples of finding the third angle's measurement when two angles are known. The use of proportions to solve problems that involve similar triangles is explained in detail. Students apply the technique to real-life measurement tasks.
Lesson #5 - Triangles II Tutorial explains square and square root before teaching the Pythagorean Theorem. Students are shown how to use the theorem to find base or height of a right triangle as well as the hypotenuse. The approximation of square root is also shown. Finding the area, base, and height of a variety of triangles is taught in the context of practical applications.
Lesson #6 - Polygons, Circles, and Solids Tutorial covers identifying geometric figures and finding perimeters, circumferences, areas, and volumes. Concept checks test critical reasoning in applying formulas to challenging practical problems.