Geometry (GEO)
EducAide's Geometry Database has been several years in the making—and well worth the wait! This collection of more than 5000 problems is simply unmatched in its breadth and depth of coverage, and the huge number of diagrams (more than 800) makes the database even more attractive.
As a core module, the Geometry database is intended for regular classroom instruction. The wide range of topics and question-types makes it suitable for use with any textbook or course of study, including newer, integrated math courses. Although curriculums vary widely in scope and sequence, the database's topical organization makes it possible to locate just the right questions for tests, review worksheets, and daily lessons.
In the database, you will find extensive coverage of both synthetic geometry (proofs and logic) and analytic geometry (measurement, coordinate systems, and connections to algebra). The question types include: short-answer, definitions, fill-in-the-blank, true-false, sometimes-always-never, logic exercises, and traditional two-column and paragraph proofs. In addition, algebra skills are integrated into perhaps 20% of the problems, so that students are continually working with variables and solving linear and quadratic equations and systems.
Here is a general outline of the Geometry Database:
- Definitions, notation, postulates and logic
- Segments, angles, lengths and measures
- Parallel lines, transversals, polygons, triangles
- Congruence, similarity, proportionality, goldon ratio
- Right triangles, Pythagorean theorem, simple trigonometry
- Circles, arcs, segments and sectors, circumference and area
- Area of polygons, volume and surface area of solids
- Coordinate geometry, equations of lines, symmetry, transformations, mapping, tesselations
- Drawings, constructions and loci
- Geometric proofs involving segments and angles, triangles, parallel lines, quadrilaterals, circles, etc.
- Indirect proof, proofs using analytic geometry