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mvsd |
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Math Curriculum 01/12/03 |
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Mathematics - PreCalculus |
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Systems of Equations: Solve
The learner will be able to
obtain solutions to systems of equations, including linear, quadratic, and linear-quadratic systems, and interpret their meaning.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Systems of Equations |
Application |
Master |
2.0 |
District Expectation; ISAT |
Classroom
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Systems of Equations: Solution Methods
The learner will be able to
obtain solutions to systems of equations using a variety of methods, including the use of matrices.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Systems of Equations |
Application |
Master |
1.5 |
District Expectation |
Classroom
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Functions: Define/Explain/Translate
The learner will be able to
define functions, explain function characteristics, and translate among verbal, numeric, graphical, and symbolic representations, including polynomial, rational, radical, exponential, logarithmic, trigonometric, and piecewise functions.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Functions |
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Master |
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ID: State Achievement Standards, 2001, Grades 9-12 9 - 12 353.02 |
Classroom
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Functions: Important Points
The learner will be able to
identify and/or apply the associations that exist among the important points of a function, its graph, and its symbolic representation.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Functions |
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Master |
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ID: State Achievement Standards, 2001, Grades 9-12 9 - 12353.01 |
Classroom
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Functions: Find/Domain/Range
The learner will be able to
apply graphs, tables, and symbols to find the domain and range of functions.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Functions |
Application |
Master |
1.0 |
ID: State Achievement Standards, 2001, Grades 9-12 9 - 12 353.01.a; ISAT |
Classroom
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Graphing Functions: Transformations
The learner will be able to
perform elementary transformations on the parent functions, including c*f(x), f(x)+c, f(x-c), f(c*x), |f(x)|, and f(|x|).
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Graphing Functions |
Application |
Master |
2.0 |
District Expectation; ISAT |
Classroom
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Functions: Odd/Even/Symmetry
The learner will be able to
make descriptions of the symmetry that is exhibited by even and/or odd functions.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Functions |
Comprehension |
Master |
0.5 |
ID: State Achievement Standards, 2001, Grades 9-12 9 - 12 353.02.a |
Classroom
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Functions: Manipulations
The learner will be able to
use operations (including composition) on functions, determine inverses, and/or offer oral, numerical, symbolic, and/or graphic descriptions of these procedures.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Functions |
Analysis |
Master |
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ID: State Achievement Standards, 2001, Grades 9-12 9 - 12 353.02.a; ISAT |
Classroom
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Representations: Interpret Meaning
The learner will be able to
understand the meaning of the symbolic representation of a function, as well as operations performed on a function within a certain context.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Representations of Functions |
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Master |
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ID: State Achievement Standards, 2001, Grades 9-12 9 - 12 353.02 |
Classroom
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Exploring: Identity Functions
The learner will be able to
explore identities graphically and verify their congruence algebraically, including logarithmic and exponential properties, and trigonometric identities.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Exploring |
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Master |
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District Expectation |
Classroom
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Functions: Convert
The learner will be able to
translate among parametric and rectangular function (and/or equation) forms to construct their graphs.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Functions |
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Master |
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District Expectation |
Classroom
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Problem Solving: Find Solutions
The learner will be able to
apply function properties to obtain problem solutions.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Problem Solving |
Application |
Master |
1.0 |
ID: State Achievement Standards, 2001, Grades 9-12 9 - 12 353.03.a; ISAT |
Classroom
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Problem Solving: Analysis/Forecasts
The learner will be able to
apply function properties in problem analysis and in making forecasts.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Problem Solving |
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Master |
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ID: State Achievement Standards, 2001, Grades 9-12 9 - 12 353.03 |
Classroom
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Functions: Model/Regression
The learner will be able to
apply regression methods in finding a function to model real world information.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Functions/Relations |
Application |
Master |
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ID: State Achievement Standards, 2001, Grades 9-12 9 - 12 352.05.a |
Classroom
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Mathematical Modeling: Functions
The learner will be able to
apply functions to model real world data.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Mathematical Modeling |
Application |
Master |
2.0 |
ID: State Achievement Standards, 2001, Grades 9-12 9 - 12 353.03.a /348.03.b |
Classroom
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Calculus and Pre-Calculus
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Conic Sections: Recognize
The learner will be able to
recognize all of the conic sections (including degenerates) as the intersection of a plane and a conical surface.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Conic Sections |
Knowledge |
Master |
1.0 |
District Expectation |
Classroom
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Conic Sections: Solve/System
The learner will be able to
obtain solutions to systems of equations involving conics and other forms of equations.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Conic Sections |
Application |
Master |
2.0 |
District Expectation |
Classroom
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Conic Sections: Describe Phenomena
The learner will be able to
apply conic section attributes in making descriptions of many varied real world phenomena.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Conic Sections |
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Master |
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District Expectation |
Classroom
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Conic Sections: Model
The learner will be able to
apply conic sections, their attributes, and/or parametric representations to model various scenarios.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Conic Sections |
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Master |
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District Expectation |
Classroom
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Conic Sections: Model
The learner will be able to
apply conic sections to model real applications such as motion, reflection, architecture, and/or orbital motion.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Conic Sections |
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Reinforce |
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District Expectation |
Classroom
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Complex Numbers: Define Set
The learner will be able to
identify what constitutes the set of complex numbers.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Complex Numbers |
Knowledge |
Master |
0.5 |
District Expectation |
Classroom
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Complex Numbers: Graph/Represent
The learner will be able to
graph and express complex numbers in rectangular and polar form.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Complex Numbers |
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Master |
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District Expectation |
Classroom
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Complex Numbers: Zeros of Functions
The learner will be able to
interpret complex numbers as the zeros of functions.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Complex Numbers |
Analysis |
Master |
0.5 |
District Expectation |
Classroom
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Complex Numbers: Theorem/Definition
The learner will be able to
apply suitable theorems and/or definitions to determine powers, roots, and/or absolute values of complex numbers.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Complex Numbers |
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Master |
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District Expectation |
Classroom
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Complex Numbers: DeMoivre's/Explain
The learner will be able to
explain DeMoivre's theorem.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Complex Numbers |
Comprehension |
Master |
0.5 |
District Expectation |
Classroom
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Complex Numbers: DeMoivre's Theorem
The learner will be able to
determine powers and roots of complex numbers by using DeMoivre's theorem.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Complex Numbers |
Application |
Master |
1.0 |
District Expectation |
Classroom
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Vectors: Model
The learner will be able to
apply the vector concept to simulate scenarios defined by magnitude and/or direction.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Vectors |
Application |
Master |
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ID: State Achievement Standards, 2001, Grades 9-12 9 - 12 351.02.b |
Classroom
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Vectors: Analyze
The learner will be able to
analyze a real world vector model.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Vectors |
Analysis |
Master |
1.5 |
ID: State Achievement Standards, 2001, Grades 9-12 9 - 12 351.03.b |
Classroom
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Sequences: Limits/Describe
The learner will be able to
make descriptions of limits of sequences and use their characteristics to explore convergent and/or divergent series.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Sequences/Series |
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Master |
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District Expectation |
Classroom
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Sequences/Series: Problem Solving
The learner will be able to
use sequences and/or series to obtain problem solutions that may involve sums and/or binomial expansions.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Sequences/Series |
Application |
Master |
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ID: State Achievement Standards, 2001, Grades 9-12 9 - 12 347.02.b |
Classroom
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Sequences/Series: Solve Problems
The learner will be able to
obtain solutions to practical problems through the application of series and sequences (arithmetic, geometric, and others).
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Sequences/Series |
Application |
Master |
1.5 |
District Expectation |
Classroom
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