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Corresponding sides of similar polygons are in proportion, and corresponding angles of similar polygons have the same measure. Two congruent shapes are similar, with a scale factor of 1. However, some school textbooks specifically exclude congruent triangles from their definition of similar triangles by insisting that the sizes must be ...
In mathematics, a self-similar object is exactly or approximately similar to a part of itself (i.e., the whole has the same shape as one or more of the parts). Many objects in the real world, such as coastlines , are statistically self-similar: parts of them show the same statistical properties at many scales. [ 2 ]
The idea conveyed in the book is that if teachers' expectations about student ability are manipulated early, those expectations will carry over to affect teacher behavior, which in turn will influence how the students will perform on an IQ test. Inducing high expectations in teachers will lead to high levels of IQ test performance.
Positive behavior interventions and supports (PBIS) is a set of ideas and tools used in schools to improve students' behavior.PBIS uses evidence and data-based programs, practices, and strategies to frame behavioral improvement relating to student growth in academic performance, safety, behavior, and establishing and maintaining positive school culture.
Instructional scaffolding is the support given to a student by an instructor throughout the learning process. This support is specifically tailored to each student; this instructional approach allows students to experience student-centered learning, which tends to facilitate more efficient learning than teacher-centered learning.
The goal of Parable of the Polygons was for readers to "learn to demand diversity". [5] People are represented by abstract shapes because marking their races and genders would be "really weird" and "have the unfortunate implication that [the races and genders] are binary and immutable". [7] A triangle was chosen because it appears in Hart's ...
Individual polygons are named (and sometimes classified) according to the number of sides, combining a Greek-derived numerical prefix with the suffix -gon, e.g. pentagon, dodecagon. The triangle, quadrilateral and nonagon are exceptions, although the regular forms trigon, tetragon, and enneagon are sometimes encountered as well.
In the School Mathematics Study Group system SAS is taken as one (#15) of 22 postulates. AAS (angle-angle-side): If two pairs of angles of two triangles are equal in measurement, and a pair of corresponding non-included sides are equal in length, then the triangles are congruent. AAS is equivalent to an ASA condition, by the fact that if any ...