mvsd
Math Curriculum 01/12/03

Mathematics - PreCalculus

Mathematics

The Idaho State Achievement Standards for Mathematics provides skills for kindergarten through twelfth grade.


Algebraic Concepts

    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
Systems of Equations Application Master 2.0 District Expectation; ISAT
  
    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
Systems of Equations Application Master 1.5 District Expectation
  

Functions

    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
Functions Master ID: State Achievement Standards, 2001, Grades 9-12 9 - 12 353.02
  
    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
Functions Master ID: State Achievement Standards, 2001, Grades 9-12 9 - 12353.01
  
    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
Functions Application Master 1.0 ID: State Achievement Standards, 2001, Grades 9-12 9 - 12 353.01.a; ISAT
  
    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
Graphing Functions Application Master 2.0 District Expectation; ISAT
  
    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
Functions Comprehension Master 0.5 ID: State Achievement Standards, 2001, Grades 9-12 9 - 12 353.02.a
  
    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
Functions Analysis Master ID: State Achievement Standards, 2001, Grades 9-12 9 - 12 353.02.a; ISAT
  
    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
Representations of Functions Master ID: State Achievement Standards, 2001, Grades 9-12 9 - 12 353.02
  
    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
Exploring Master District Expectation
  
    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
Functions Master District Expectation
  
    Problem Solving: Find Solutions
The learner will be able to apply function properties to obtain problem solutions.
Strand Bloom's Scope Hours Source
Problem Solving Application Master 1.0 ID: State Achievement Standards, 2001, Grades 9-12 9 - 12 353.03.a; ISAT
  
    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
Problem Solving Master ID: State Achievement Standards, 2001, Grades 9-12 9 - 12 353.03
  
    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
Functions/Relations Application Master ID: State Achievement Standards, 2001, Grades 9-12 9 - 12 352.05.a
  

Mathematics Processes

    Mathematical Modeling: Functions
The learner will be able to apply functions to model real world data.
Strand Bloom's Scope Hours Source
Mathematical Modeling Application Master 2.0 ID: State Achievement Standards, 2001, Grades 9-12 9 - 12 353.03.a /348.03.b
  

Calculus and Pre-Calculus

    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
Conic Sections Knowledge Master 1.0 District Expectation
  
    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
Conic Sections Application Master 2.0 District Expectation
  
    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
Conic Sections Master District Expectation
  
    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
Conic Sections Master District Expectation
  
    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
Conic Sections Reinforce District Expectation
  
    Complex Numbers: Define Set
The learner will be able to identify what constitutes the set of complex numbers.
Strand Bloom's Scope Hours Source
Complex Numbers Knowledge Master 0.5 District Expectation
  
    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
Complex Numbers Master District Expectation
  
    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
Complex Numbers Analysis Master 0.5 District Expectation
  
    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
Complex Numbers Master District Expectation
  
    Complex Numbers: DeMoivre's/Explain
The learner will be able to explain DeMoivre's theorem.
Strand Bloom's Scope Hours Source
Complex Numbers Comprehension Master 0.5 District Expectation
  
    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
Complex Numbers Application Master 1.0 District Expectation
  
    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
Vectors Application Master ID: State Achievement Standards, 2001, Grades 9-12 9 - 12 351.02.b
  
    Vectors: Analyze
The learner will be able to analyze a real world vector model.
Strand Bloom's Scope Hours Source
Vectors Analysis Master 1.5 ID: State Achievement Standards, 2001, Grades 9-12 9 - 12 351.03.b
  

Numeration

    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
Sequences/Series Master District Expectation
  
    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
Sequences/Series Application Master ID: State Achievement Standards, 2001, Grades 9-12 9 - 12 347.02.b
  
    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
Sequences/Series Application Master 1.5 District Expectation
  

© 2004 by mvsd and EdVISION Corporation.  All Rights Reserved. Made with Curriculum Designer by EdVISION Corporation.