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The software was designed for students outside the classroom to augment their mathematics education and school districts seeking to enhance their mathematics curriculum. [4] [13] In 2012, the firm offered free trial licensing of lessons aligned with the Common Core State Standards Initiative to all schools within the United States.
In mathematics, a complex analytic K3 surface is a compact connected complex manifold of dimension 2 with а trivial canonical bundle and irregularity zero. An (algebraic) K3 surface over any field means a smooth proper geometrically connected algebraic surface that satisfies the same conditions.
BrainPop (stylized as BrainPOP) is a group of educational websites founded in 1999 by Avraham Kadar, M.D. and Chanan Kadmon, based in New York City. [1] As of 2024, the websites host over 1,000 short animated movies for students in grades K–8 (ages 5 to 14), together with quizzes and related materials, covering the subjects of science, social studies, English, math, engineering and ...
[4] If two right-angled hyperbolic hexagons each have three alternate sides of matching lengths, then they are isometric to each other. So we see that the pair of pants is the double of a right-angled hexagon along alternate sides. Since the isometry class of the hexagon is also uniquely determined by the lengths of the remaining three ...
Geometrically K 3 forms the edge set of a triangle, K 4 a tetrahedron, etc. The Császár polyhedron, a nonconvex polyhedron with the topology of a torus, has the complete graph K 7 as its skeleton. [15] Every neighborly polytope in four or more dimensions also has a complete skeleton. K 1 through K 4 are all planar graphs.
A three-part lesson is an inquiry-based learning method used to teach mathematics in K–12 schools. The three-part lesson has been attributed to John A. Van de Walle, a mathematician at Virginia Commonwealth University .