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American Association for the Advancement of Science (1993). Benchmarks for science literacy. New York: Oxford University Press. ISBN 9780195089868. Bruton, Sheila; Ong, Faye (2000). Science content standards for California public schools : kindergarten through grade twelve (PDF). Sacramento, Calif.: Dept. of Education. ISBN 978-0-8011-1496-0
The program was targeted at the junior high and high school level and the 15–20 percent best students in a grade. [ 3 ] [ 9 ] Funding for the initiative began with the U.S. Office of Education and covered the development of the first three courses produced; the last three courses produced, as well as teacher training, were funded by the ...
The mechanical advantage of a simple machine as defined as the ratio of the output force exerted on the load to the input force applied. The inclined plane the output load force is just the gravitational force of the load object on the plane, its weight . The input force is the force exerted on the object, parallel to the plane, to move it up ...
But because this requirement was often met by taking another lower-level mathematics course, the additional courses had a “diluted” effect in raising achievement levels. [ 32 ] In North America, the National Council of Teachers of Mathematics (NCTM) published the Principles and Standards for School Mathematics in 2000 for the United States ...
A simple machine uses a single applied force to do work against a single load force. Ignoring friction losses, the work done on the load is equal to the work done by the applied force. The machine can increase the amount of the output force, at the cost of a proportional decrease in the distance moved by the load.
Mechanical advantage is a measure of the force amplification achieved by using a tool, mechanical device or machine system. The device trades off input forces against movement to obtain a desired amplification in the output force. The model for this is the law of the lever.
The American high-school geometry curriculum was eventually codified in 1912 and developed a distinctive American style of geometric demonstration for such courses, known as "two-column" proofs. [49] This remains largely true today, with Geometry as a proof-based high-school math class.
If a and b are distances from the fulcrum to points A and B and the force F A applied to A is the input and the force F B applied at B is the output, the ratio of the velocities of points A and B is given by a/b, so we have the ratio of the output force to the input force, or mechanical advantage, is given by: = =.