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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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