Math Item Specifications HIGH SCHOOL (GEOMETRY)
... community members also have an opportunity to review items for issues of potential concern to members of the community at large. Reviewers are asked to consider the variety of cultural, regional, philosophical, political, and religious backgrounds throughout Arizona, and then to determine whether th ...
... community members also have an opportunity to review items for issues of potential concern to members of the community at large. Reviewers are asked to consider the variety of cultural, regional, philosophical, political, and religious backgrounds throughout Arizona, and then to determine whether th ...
circles theorems
... from the center of the circle to any point of the circle. The term radius is used to mean both the line segment and the length of the line segment. If A, B, and C are points of cirC cle O, then OA, OB, and OC are radii of the circle. Since the definition of a circle states that all points of the cir ...
... from the center of the circle to any point of the circle. The term radius is used to mean both the line segment and the length of the line segment. If A, B, and C are points of cirC cle O, then OA, OB, and OC are radii of the circle. Since the definition of a circle states that all points of the cir ...
Dynamic-Geometry Activities with GeoGebra for Virtual
... well as other areas of mathematics. GeoGebra lets you construct dynamic-mathematics figures and investigate them interactively. VMT-with-GeoGebra (VMTwG) lets you share this exploration in a VMT chat room. A group can observe dynamic-math figures, notice characteristics, wonder about their relations ...
... well as other areas of mathematics. GeoGebra lets you construct dynamic-mathematics figures and investigate them interactively. VMT-with-GeoGebra (VMTwG) lets you share this exploration in a VMT chat room. A group can observe dynamic-math figures, notice characteristics, wonder about their relations ...
MATHEMATICS THROUGH PAPER FOLDING Introduction ALTON T. OLSON University of Alberta
... directions and diagrams. In the text that follows, the diagrams are numbered with reference to the related exercise. They are not numbered consecutively. As the descriptions are read, the described folding should be performed. After these folding have been practiced, it is likely that the method can ...
... directions and diagrams. In the text that follows, the diagrams are numbered with reference to the related exercise. They are not numbered consecutively. As the descriptions are read, the described folding should be performed. After these folding have been practiced, it is likely that the method can ...
Euclidean geometry
Euclidean geometry is a mathematical system attributed to the Alexandrian Greek mathematician Euclid, which he described in his textbook on geometry: the Elements. Euclid's method consists in assuming a small set of intuitively appealing axioms, and deducing many other propositions (theorems) from these. Although many of Euclid's results had been stated by earlier mathematicians, Euclid was the first to show how these propositions could fit into a comprehensive deductive and logical system. The Elements begins with plane geometry, still taught in secondary school as the first axiomatic system and the first examples of formal proof. It goes on to the solid geometry of three dimensions. Much of the Elements states results of what are now called algebra and number theory, explained in geometrical language.For more than two thousand years, the adjective ""Euclidean"" was unnecessary because no other sort of geometry had been conceived. Euclid's axioms seemed so intuitively obvious (with the possible exception of the parallel postulate) that any theorem proved from them was deemed true in an absolute, often metaphysical, sense. Today, however, many other self-consistent non-Euclidean geometries are known, the first ones having been discovered in the early 19th century. An implication of Albert Einstein's theory of general relativity is that physical space itself is not Euclidean, and Euclidean space is a good approximation for it only where the gravitational field is weak.Euclidean geometry is an example of synthetic geometry, in that it proceeds logically from axioms to propositions without the use of coordinates. This is in contrast to analytic geometry, which uses coordinates.