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  2. New York Regents Examinations - Wikipedia

    en.wikipedia.org/wiki/New_York_Regents_Examinations

    The Regents Examinations are developed and administered by the New York State Education Department (NYSED) under the authority of the Board of Regents of the University of the State of New York. Regents exams are prepared by a conference of selected New York teachers of each test's specific discipline who assemble a test map that highlights the ...

  3. Mathematics education in New York - Wikipedia

    en.wikipedia.org/wiki/Mathematics_education_in...

    At the conclusion of this one-year course, students take a New York State Regents exam in Geometry. The first administration of this exam was in June 2009. Algebra II. This is the third and last course of the new three-year curriculum. It replaced the elements of "Math B" not covered in geometry.

  4. Mandelbrot set - Wikipedia

    en.wikipedia.org/wiki/Mandelbrot_set

    The Mandelbrot set ( / ˈmændəlbroʊt, - brɒt /) [ 1][ 2] is a two-dimensional set with a relatively simple definition that exhibits great complexity, especially as it is magnified. It is popular for its aesthetic appeal and fractal structures. The set is defined in the complex plane as the complex numbers for which the function does not ...

  5. Incircle and excircles - Wikipedia

    en.wikipedia.org/wiki/Incircle_and_excircles

    Incircle and excircles. Incircle and excircles of a triangle. In geometry, the incircle or inscribed circle of a triangle is the largest circle that can be contained in the triangle; it touches (is tangent to) the three sides. The center of the incircle is a triangle center called the triangle's incenter. [ 1] An excircle or escribed circle[ 2 ...

  6. Euclidean planes in three-dimensional space - Wikipedia

    en.wikipedia.org/wiki/Euclidean_planes_in_three...

    In Euclidean geometry, a plane is a flat two- dimensional surface that extends indefinitely. Euclidean planes often arise as subspaces of three-dimensional space . A prototypical example is one of a room's walls, infinitely extended and assumed infinitesimal thin. While a pair of real numbers suffices to describe points on a plane, the ...

  7. Mathematics education in the United States - Wikipedia

    en.wikipedia.org/wiki/Mathematics_education_in...

    e. Mathematics education in the United States varies considerably from one state to the next, and even within a single state. However, with the adoption of the Common Core Standards in most states and the District of Columbia beginning in 2010, mathematics content across the country has moved into closer agreement for each grade level.

  8. Varignon's theorem - Wikipedia

    en.wikipedia.org/wiki/Varignon's_theorem

    An arbitrary quadrilateral and its diagonals. Bases of similar triangles are parallel to the blue diagonal. Ditto for the red diagonal. The base pairs form a parallelogram with half the area of the quadrilateral, A q, as the sum of the areas of the four large triangles, A l is 2 A q (each of the two pairs reconstructs the quadrilateral) while that of the small triangles, A s is a quarter of A ...

  9. Geometry - Wikipedia

    en.wikipedia.org/wiki/Geometry

    Geometry (from Ancient Greek γεωμετρία (geōmetría) 'land measurement'; from γῆ (gê) 'earth, land' and μέτρον (métron) 'a measure') [ 1] is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures. [ 2] Geometry is, along with arithmetic, one of the ...