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.
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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.
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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..
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Lesson #3 - Protractor. Tutorial
with graphics shows the use of the protractor for measuring and
drawing angles.
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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.
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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.
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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.
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Achievement Prep Practical Geometry COMPLETE COURSE
(Geometry 1 - 6) Provides over 15 hours of pre-tests, tutorials,
and post tests.
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