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  2. Integrated mathematics - Wikipedia

    en.wikipedia.org/wiki/Integrated_mathematics

    New York State began using integrated math curricula in the 1980s, [4] but recently returned to a traditional curriculum. A few other localities in the United States have also tried such integrated curricula, [ 5 ] including Georgia, which mandated them in 2008 but subsequently made them optional. [ 6 ]

  3. Proportional reasoning - Wikipedia

    en.wikipedia.org/wiki/Proportional_reasoning

    Consider a container of colored liquid inside a right triangle where the triangle can be tilted and the water levels on the left and right side can be measured on a built-in scale. This is called a "water triangle": The water triangle is rotated until it shows a measurement of 4 units on the left side and 6 units on the right side. Suppose the ...

  4. Length measurement - Wikipedia

    en.wikipedia.org/wiki/Length_measurement

    Length measurement, distance measurement, or range measurement (ranging) all refer to the many ways in which length, distance, or range can be measured. The most commonly used approaches are the rulers, followed by transit-time methods and the interferometer methods based upon the speed of light .

  5. Dimensional analysis - Wikipedia

    en.wikipedia.org/wiki/Dimensional_analysis

    In engineering and science, dimensional analysis is the analysis of the relationships between different physical quantities by identifying their base quantities (such as length, mass, time, and electric current) and units of measurement (such as metres and grams) and tracking these dimensions as calculations or comparisons are performed.

  6. Congruence (geometry) - Wikipedia

    en.wikipedia.org/wiki/Congruence_(geometry)

    Translate the first figure by this vector so that these two vertices match. Third, rotate the translated figure about the matched vertex until one pair of corresponding sides matches. Fourth, reflect the rotated figure about this matched side until the figures match. If at any time the step cannot be completed, the polygons are not congruent.

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