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Vaninsky, Alexander – International Journal of Mathematical Education in Science and Technology, 2011
This article introduces a trigonometric field (TF) that extends the field of real numbers by adding two new elements: sin and cos--satisfying an axiom sin[superscript 2] + cos[superscript 2] = 1. It is shown that by assigning meaningful names to particular elements of the field, all known trigonometric identities may be introduced and proved. Two…
Descriptors: Trigonometry, Mathematics Instruction, Algebra, Mathematical Applications
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Nnadi, James N. – International Journal of Mathematical Education in Science and Technology, 2004
This classroom note includes the following sections: Introduction; The General Case; and Related Formulas.
Descriptors: Number Systems, Trigonometry, Mathematics Instruction
New York City Board of Education, Brooklyn, NY. Div. of Curriculum and Instruction. – 1986
This document outlines part one of the third year course of the newly implemented New York State Mathematics Curriculum. The three-year Sequential Mathematics sequence designed by New York State is a move in the direction of fusing the formerly separate topics found in algebra, geometry, and intermediate algebra/trigonometry, and introducing…
Descriptors: Algebra, Critical Thinking, Curriculum Guides, Geometry
New York City Board of Education, Brooklyn, NY. Div. of Curriculum and Instruction. – 1986
This document outlines part two of the third year course of the newly implemented New York State Mathematics Curriculum. The three-year Sequential Mathematics sequence designed by New York State is a move in the direction of fusing the formerly separate topics found in algebra, geometry, and intermediate algebra/trigonometry, and introducing…
Descriptors: Algebra, Critical Thinking, Curriculum Guides, Geometry
Bresnan, Margaret; And Others – 1985
The Sequential Mathematics Sequence provides an integrated course of study for grades 9-11 in New York City. This document presents lesson plans for part two of the second-year course, designed for tenth grade. The curriculum interweaves algebra, geometry, logic, probability, statistics, and trigonometry, with the emphasis in the 60 lessons in…
Descriptors: Algebra, Critical Thinking, Curriculum Guides, Geometry