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6130 Introduction to Integrated Algebra: The emphasis of this course is in making connections between conceptual and procedural knowledge. It is an introductory study of mathematics: algebra, geometry, trigonometry, probability, data collection, and statistics. Instruction will center around providing a balance between exploration, investigation, and communication of mathematical concepts, which create connections between the skills of mathematics, and the application of those skills in their lives. Enrollment based on district guidelines.


6351 Integrated 1: Integrated I interweaves mathematical topics of algebra, geometry statistics, probability, trigonometry, and discrete mathematics. Level I includes expressions, linear equations and graphs, inequalities, systems of linear equations, and quadratic equations and graphs. Topics from geometry that are introduced include coordinate geometry, transformations, similarity area, solid geometry, and trigonometric ratios. Students use inductive reasoning to investigate patterns and create mathematical models for real-world situations. Students also study experimental, theoretical, and geometric probability and statistical measures and graphs.


6352 Integrated 2: Integrated 2 is the second year course in the integrated mathematics sequence. The spiraling of algebra, geometry, trigonometry, probability, statistics, discrete mathematics and functions continues. Level 2 has a strong geometry/logical reasoning strand that includes such topics as inductive and deductive reasoning, coordinate geometry in two- and three- dimensions, implications, arguments and postulates in algebra. Students write two column, paragraph, and flow proofs about similar and congruent triangles. New algebra topics include indirect variation, complex numbers, the binomial theorem, and rational and cubic equations. Matrices are introduced and used to represent transformations and systems of equations. Other topics include special right triangles, counting techniques, probability and odds, Pascal's triangle, and binomial experiments. Prerequisite: successful completion of Integrated 1.

 

6353 Integrated 3: Integrated 3 is the third year course in the integrated mathematics sequence. Spiraling of the mathematics topics of algebra, geometry, trigonometry, probability, statistics, discrete mathematics, and functions continues. Emphasis is on functions including radical, piecewise, exponential, logarithmic, inverse, and trigonometric functions. Students also study sequences and series. The emphasis of the geometry strand is circles. Also studied are indirect proof, polar coordinates, vectors, and parametric equations. The probability and statistics topics include standard deviation, normal distributions, linear and quadratic regression, conditional probability, expected value, and transition matrices. Topics from discrete mathematics include algorithms, finite graphs, and linear programming. Prerequisite: successful completion of Integrated 2.

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