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The fundamental purpose of this course is to formalize and extend the mathematics students learned in the middle grades.
The modules deepen and extend understanding of linear and exponential relationships by contrasting them with each other and by applying linear models to data that exhibit a linear trend. Students engage in methods for analyzing, solving, and using quadratic functions.
Sequence of algebra 1 modules with the standards: 1) relationships between quantities and reasoning with equations and their graphs; 2) descriptive statistics; 3) linear and exponential functions; 4) polynomial and quadratic expressions; 5) a synthesis of modeling with equations and function.
Students take Algebra Part 1 in the first semester and Algebra Part 2 in the second semester.
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The fundamental purpose of the course in Geometry is to formalize ad extend students’ geometric experiences from the middle grades.
Students explore more complex geometric situations and deepen their explanations of geometric relationships, moving towards formal mathematical arguments.
Geometry courses, emphasizing an abstract, formal approach to the study of geometry, typically include topics such as properties of plane and solid figures; deductive methods of reasoning and use of logic; geometry as an axiomatic system including the study of postulates, theorems, and formal prods; concepts of congruence, similarity, parallelism, perpendicularity, and proportions; and rules of angle measurements in triangles.
Sequence of geometry modules aligned with the standards:
1) congruence, proof, and construction;
2) similarities, proof, and trigonometry;
3) extending to three dimensions;
4) connecting algebra and geometry through coordinates;
5) circle with and without coordinates.
Students take Geometry Part 1 in the first semester and Geometry Part 2 in the second semester.
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Algebra 2 course topics typically include field properties and theorems; set theory; operations with rational and irrational expressions; factoring of rational expressions; in-depth study of linear equations and inequalities; quadratic equations; solving systems of linear and quadratic equations graphing of constant, linear, and quadratic equations; properties of higher degree equations, and operations with rational and irrational exponents.
Students take Algebra II- Part I in the first semester and Algebra II- Part 2 in the second semester.
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Pre-Calculus courses combine the study of Trigonometry, Elementary Functions, Analytic Geometry, and Math Analysis topics as preparation for calculus.
Topics include the study of complex umbers, polynomial, logarithmic, exponential, rational, right trigonometric, and circular functions, and their relations, inverse, and graphs; trigonometric identities and equations: solutions of right and oblique triangles, vectors, the polar coordinate system, conic sections: Boolean algebra and symbolic logic; mathematical induction; matrix algebra, sequence and series, and limits and continuity.
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Probability and Statistics courses introduce the study of likely events and the analysis, interpretation, and presentation of quantitative data.
Course topics generally include basic probability and statistics: discrete probability theory, odds and probabilities, probability trees, populations and samples, frequency tables, measures of central tendency, and presentation of data (including graphs).
Course topics may also include normal distribution and measures of variability.