Unit
This course contains both content that reviews or extends concepts and skills learned in Algebra 2 and new content in the area of Trigonometry. Students will gain proficiency in graphing algebraic functions using a transformational approach; analyzing and graphing conic sections; solving polynomial, rational, radical, exponential and logarithmic equations; and modelling real-world situations involving polynomial, rational, radical, exponential and logarithmic functions. Students will also define the six trigonometric functions; evaluate trig functions with and without a calculator; graph trig functions; simplify and verify trig expressions using identities; solve trig equations; graph points and curves on the polar coordinate system and convert between the polar and rectangular coordinate system. Students may also investigate vectors and sequences and series in this course.
Students will be actively engaged using concrete and virtual materials and appropriate technologies such as graphing calculators and computer software. However, facility in the use of technology shall not be regarded as a substitute for a student´s understanding of quantitative concepts and relationships or for proficiency in basic computations. Students will also identify and apply real-life applications of the mathematical principles they are learning to science and other disciplines they are studying.
Mathematics has its own language, and the acquisition of specialized vocabulary and language patterns is crucial to a student´s understanding and appreciation of the subject. Students are encouraged to use correctly the concepts, skills, symbols, and vocabulary identified in the course.
Problem solving is integrated throughout the different components of the curriculum. The development of problem-solving skills is a major goal of the mathematics program. Instruction in the process of problem solving will help students develop a wide range of skills and strategies for solving a variety of problem types.
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