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Algebra
2 Topics
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Summary
- Grade 8 Gifted and Talented Mathematics is a rigorous program
designed for students who are fluent with the concepts, skills,
and language of linear functions. Algebra II features polynomial
and rational functions, the integration of technology, and the application
of advanced processes to verbal and algebraic models of applications
from a variety of disciplines. Students who successfully demonstrate
mastery of course objectives will be recommended for Gifted and
Talented 9 Geometry.
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Systems
of Linear Equations and Inequalities
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Quadratic
Functions and Inequalities
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solving quadratics by graphing
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solving
quadratics by finding square and cubic roots
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solving
quadratics by completing the square
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solving
quadratics by the Quadratic Formula
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midpoint and distance formulas
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parabolas
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circles
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ellipses
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hyberbolas
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equations
of conic sections
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solving
quadratic systems
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Rational
Expressions and Equations
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operations with rational expressions
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graphing
rational functions
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solving
rational equations and inequalities
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inverse
and joint variation
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Exponential
and Logarithmic Relations
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Manipulate matrices to solve systems of linear equations
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Investigate
linear programming applications from business and industry
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Discriminate
between relations and functions
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Factor
sums and differences of cubes
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Use
technology to graph and interpret systems of equations and inequalities
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Identify
the domain, range, maximum and minimum values, and zeroes of
quadratic functions
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Translate
and reflect graphs
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Identify
inverse, compound, and step functions
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Manipulate
expressions in radical, exponential, and logarithmic notation
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Graph
absolute value, exponential, logarithmic, polynomial, and rational
functions
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Use
synthetic division to determine solutions of higher order equations
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Perform
operations with complex numbers
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Formulate
and graph equation of conic sections
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Determine
sums of infinite series
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