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  2. Solid of revolution - Wikipedia

    en.wikipedia.org/wiki/Solid_of_revolution

    Two common methods for finding the volume of a solid of revolution are the disc method and the shell method of integration.To apply these methods, it is easiest to draw the graph in question; identify the area that is to be revolved about the axis of revolution; determine the volume of either a disc-shaped slice of the solid, with thickness δx, or a cylindrical shell of width δx; and then ...

  3. Rotation (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Rotation_(mathematics)

    The rotation has two angles of rotation, one for each plane of rotation, through which points in the planes rotate. If these are ω 1 and ω 2 then all points not in the planes rotate through an angle between ω 1 and ω 2. Rotations in four dimensions about a fixed point have six degrees of freedom.

  4. Singapore math - Wikipedia

    en.wikipedia.org/wiki/Singapore_math

    A bar model used to solve an addition problem. This pictorial approach is typically used as a problem-solving tool in Singapore math. Singapore math teaches students mathematical concepts in a three-step learning process: concrete, pictorial, and abstract. [3] This learning process was based on the work of an American psychologist, Jerome Bruner.

  5. Elementary mathematics - Wikipedia

    en.wikipedia.org/wiki/Elementary_mathematics

    Two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other. [8] More formally, two sets of points are called congruent if, and only if, one can be transformed into the other by an isometry , i.e., a combination of rigid motions , namely a translation , a ...

  6. Word problem (mathematics education) - Wikipedia

    en.wikipedia.org/wiki/Word_problem_(mathematics...

    Word problem from the Līlāvatī (12th century), with its English translation and solution. In science education, a word problem is a mathematical exercise (such as in a textbook, worksheet, or exam) where significant background information on the problem is presented in ordinary language rather than in mathematical notation.

  7. Rotational symmetry - Wikipedia

    en.wikipedia.org/wiki/Rotational_symmetry

    In addition to an n-fold axis, n perpendicular 2-fold axes: the dihedral groups D n of order 2n (n ≥ 2). This is the rotation group of a regular prism , or regular bipyramid . Although the same notation is used, the geometric and abstract D n should be distinguished: there are other symmetry groups of the same abstract group type which are ...

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