mvsd
Math Curriculum 01/12/03

Mathematics - Algebra II

Mathematics

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


Algebraic Concepts

    Equation/Inequalities:
The learner will be able to obtain solutions and graph equations and inequalities in one variable.
Strand Bloom's Scope Hours Source
Equality/Inequality Master ID: State Achievement Standards, 2001, Grades 9-12, 353.02
  
    Expressions: Evaluate
The learner will be able to determine the value of expressions that have fractional exponents, and/or apply fractional exponents in the simplification of radical expressions with and without a calculator.
Strand Bloom's Scope Hours Source
Expressions Master ID: State Achievement Standards, 2001, Grades 9-12, 350.02
  
    Binomial Theorem
The learner will be able to identify and apply the binomial theorem.
Strand Bloom's Scope Hours Source
Binomial Expansion Master District Expectation
  
    Expressions: Rational
The learner will be able to perform the four basic operations with rational expressions and/or specifically perform division with polynomials.
Strand Bloom's Scope Hours Source
Expressions Application Master ID: State Achievement Standards, 2001, Grades 9-12, 350.03.b
  
    Inequalities: Solve
The learner will be able to obtain solutions to inequalities with one variable.
Strand Bloom's Scope Hours Source
Inequalities Application Master 1.0 ID: State Achievement Standards, 2001, Grades 9-12, 350.03.a
  
    Linear Inequalities: Graph/System
The learner will be able to make graphs of systems of linear inequalities (two variables) and/or find their solution.
Strand Bloom's Scope Hours Source
Linear Inequalities Application Master ID: State Achievement Standards, 2001, Grades 9-12, 350.04.a
  
    Linear System of Equations: Solve
The learner will be able to find the number of solutions of a system of linear equations, and/or tell whether the system is consistent (independent/dependent) or inconsistent.
Strand Bloom's Scope Hours Source
Linear Systems of Inequalities Application Master ID: State Achievement Standards, 2001, Grades 9-12, 350.04.a
  
    Nonlinear Equations: Solve/Rational
The learner will be able to obtain problem solutions through the application of rational equations, including proportions, rate, and/or variation.
Strand Bloom's Scope Hours Source
Nonlinear Equations Application Master ID: State Achievement Standards, 2001, Grades 9-12, 349.03.a
  
    Linear Equation: Graph/2-Variables
The learner will be able to graph linear equations in two variables, including vertical and horizontal lines.
Strand Bloom's Scope Hours Source
Linear Equations Application Master 1.0 ID: State Achievement Standards, 2001, Grades 9-12, 353.02.a
  
    Linear Equation: Recognize/Graph
The learner will be able to recognize linear equations in two variables, including vertical and horizontal lines.
Strand Bloom's Scope Hours Source
Linear Equations Knowledge Master 0.5 ID: State Achievement Standards, 2001, Grades 9-12, 353.02.a
  
    Linear Equation: Write/Equation
The learner will be able to write linear equations applying several combinations of necessary information.
Strand Bloom's Scope Hours Source
Linear Equations Application Master 1.0 ID: District Expectation
  
    Linear System of Equations: Solve
The learner will be able to obtain solutions to a linear system of equations in two and three variables through a variety of techniques such as substitution, elimination, matrix operations, and graphing technology.
Strand Bloom's Scope Hours Source
Linear Systems of Inequalities Application Master 1.5 ID: State Achievement Standards, 2001, Grades 9-12, 353.04.a
  
    Quadratic Equations: Problem Solving
The learner will be able to use quadratic equations in solving problems.
Strand Bloom's Scope Hours Source
Quadratic Equations/Formula Application Master 1.0 District Expectation
  
    Quadratic Equations: Solve/Techniques
The learner will be able to obtain solutions to quadratic equations by applying a variety of techniques, including factoring, completing the square, quadratic formula, and graphing tools.
Strand Bloom's Scope Hours Source
Quadratic Equations/Formula Application Master 1.0 District Expectation
  
    Quadratic Equations: Study/Roots
The learner will be able to study the nature of the roots of a quadratic equation by applying the discriminant and the root-coefficient relationship.
Strand Bloom's Scope Hours Source
Quadratic Equations/Formula Analysis Master 1.0 District Expectation
  
    Polynomials: Equations/Estimate/Roots
The learner will be able to apply a calculator or computer to estimate the real roots of a polynomial equation.
Strand Bloom's Scope Hours Source
Polynomials Application Master 1.0 ID: State Achievement Standards, 2001, Grades 9-12, 350.03.b
  
    Polynomials: Solve
The learner will be able to obtain solutions to polynomial equations using the following theorems: Remainder, Factor, Rational Root, and Fundamental Theorem of Algebra.
Strand Bloom's Scope Hours Source
Polynomials Master ID: State Achievement Standards, 2001, Grades 9-12, 350.03.b
  
    Polynomials: Solve
The learner will be able to obtain solutions to polynomial equations over the field of complex numbers, using the following theorems: Remainder, Factor, Rational Root, and Fundamental Theorem of Algebra.
Strand Bloom's Scope Hours Source
Polynomials Application Master ID: District Expectation
  
    Polynomials: Find/Quotient
The learner will be able to find the quotients of polynomials through the application of suitable techniques or graphing instruments.
Strand Bloom's Scope Hours Source
Polynomials Application Master 1.0 District Expectation
  
    Exponents: Laws of Exponents/Simplify
The learner will be able to apply the laws of exponents to simplify expressions containing integer exponents.
Strand Bloom's Scope Hours Source
Exponents Application Master 1.0 ID: State Achievement Standards, 2001, Grades 9-12, 347.01.c
  
    Exponents: Solve/Equations
The learner will be able to obtain solutions to exponential equations.
Strand Bloom's Scope Hours Source
Exponents Application Master 1.5 ID: State Achievement Standards, 2001, Grades 9-12, 353.03.a
  
    Radicals: Equations/Solve/1- or 2-Terms
The learner will be able to obtain solutions to radical equations containing at most two radical terms.
Strand Bloom's Scope Hours Source
Radicals Application Master 1.0 District Expectation
  
    Radicals: Simplify
The learner will be able to simplify the sums, differences, products, and quotients of radical expressions.
Strand Bloom's Scope Hours Source
Radicals Application Master 1.0 District Expectation
  
    Logarithms: Definition/Properties
The learner will be able to use the definition and/or properties of logarithms in the evaluation of logarithms.
Strand Bloom's Scope Hours Source
Logarithms Application Master 1.0 ID: State Achievement Standards, 2001, Grades 9-12, 347.01.c
  
    Logarithmic: Solve/Equations
The learner will be able to obtain solutions to logarithmic equations.
Strand Bloom's Scope Hours Source
Logarithms Application Master 1.0 ID: State Achievement Standards, 2001, Grades 9-12, 347.01.c
  
    Logarithms: Use/Change of Base Rule
The learner will be able to use the change of base rule.
Strand Bloom's Scope Hours Source
Logarithms Application Master 1.0 ID: State Achievement Standards, 2001, Grades 9-12, 347.01.c
  
    Simplify Expressions: Rational
The learner will be able to simplify rational expressions.
Strand Bloom's Scope Hours Source
Simplify Expressions Application Master 0.5 District Expectation
  
    Binomial Expansion: Simplify
The learner will be able to apply the Binomial Theorem to simplify expressions.
Strand Bloom's Scope Hours Source
Binomial Expansion Application Master 1.5 District Expectation
  
    System of Equations: Solve/3 or more -Va
The learner will be able to apply a variety of methods (including technology) to obtain solutions to systems of equations with three or more variables.
Strand Bloom's Scope Hours Source
Systems of Equations Application Master 1.0 District Expectation
  

Calculus and Pre-Calculus

    Conic Sections: Identify/Write/Graph
The learner will be able to identify, write, and graph the equations of conic sections, applying properties when appropriate.
Strand Bloom's Scope Hours Source
Conic Sections Master District Expectation
  
    Complex Numbers: Define
The learner will be able to define complex numbers and their additive inverses, their conjugates, and their absolute values.
Strand Bloom's Scope Hours Source
Complex Numbers Knowledge Master 1.0 District Expectation
  
    Complex Numbers: Operations
The learner will be able to perform the four basic operations on complex numbers.
Strand Bloom's Scope Hours Source
Complex Numbers Application Master 1.0 District Expectation
  
    Conic Sections: Identify/Graph
The learner will be able to identify the graph of a given conic section.
Strand Bloom's Scope Hours Source
Conic Sections Knowledge Master 1.0 District Expectation
  
    Conic Sections: Identify/Relationship
The learner will be able to identify the relationships among the conic sections.
Strand Bloom's Scope Hours Source
Conic Sections Knowledge Master 1.0 District Expectation
  
    Conic Sections: Sketch/Graph
The learner will be able to sketch the graph of a conic section.
Strand Bloom's Scope Hours Source
Conic Sections Application Master 1.0 District Expectation
  
    Matrices: Evaluate Results
The learner will be able to make evaluations of the results of matrix operations.
Strand Bloom's Scope Hours Source
Matrices Evaluation Master 2.0 ID: State Achievement Standards, 2001, Grades 9-12, 347.02.b
  
    Matrices: Determinant/2x2/3x3/Methods
The learner will be able to evaluate the determinant for 2 by 2 and 3 by 3 matrices applying suitable methods.
Strand Bloom's Scope Hours Source
Matrices Application Master 0.5 ID: State Achievement Standards, 2001, Grades 9-12, 347.02.b
  
    Matrices: Inverse
The learner will be able to determine the inverses of matrices (if possible) for 2x2 and/or 3x3 cases.
Strand Bloom's Scope Hours Source
Matrices Application Master 0.5 ID: State Achievement Standards, 2001, Grades 9-12, 347.02.b
  
    Matrices: Use/Practical Applications
The learner will be able to use matrices in practical applications.
Strand Bloom's Scope Hours Source
Matrices Application Master 2.0 ID: State Achievement Standards, 2001, Grades 9-12, 347.02.b
  

Functions

    Relations: Identify/Graph/Define
The learner will be able to recognize, define, and/or make a graph of various relations.
Strand Bloom's Scope Hours Source
Relations Master District Expectation
  
    Graphing Functions: Methods/Tools
The learner will be able to graph polynomial, rational, and algebraic functions using suitable methods and tools.
Strand Bloom's Scope Hours Source
Graphing Functions Master ID: State Achievement Standards, 2001, Grades 9-12, 353.02
  
    Quadratic Functions: Graph
The learner will be able to make graphs of quadratic functions, find their minimum/maximum values, the number of zeros, and/or if those zeros are real or complex.
Strand Bloom's Scope Hours Source
Absolute Value/Quadratic Functions Master District Expectation
  
    Logarithmic/Exponential: Define/Graph
The learner will be able to define, graph, and illustrate the inverse relationship that exists between the classes of logarithmic and exponential functions.
Strand Bloom's Scope Hours Source
Exponential/Logarithmic Functions Master District Expectation
  
    Trigonometric Functions: Define
The learner will be able to define the six trig functions as circular functions as well as right triangle ratios and/or illustrate the relationship that exists among these functions.
Strand Bloom's Scope Hours Source
Trigonometric Functions Master District Expectation
  
    Trigonometric Functions: Evaluate/Graph
The learner will be able to evaluate and graph trigonometric functions by applying the concepts of period, phase shift, vertical shift, and amplitude.
Strand Bloom's Scope Hours Source
Trigonometric Functions Master District Expectation
  
    Representations: Functions/Name
The learner will be able to apply several representations to name functions with the use of symbols, graphs, and tables.
Strand Bloom's Scope Hours Source
Representations of Functions Knowledge Master 1.0 ID: State Achievement Standards, 2001, Grades 9-12, 353.02.a
  
    Graphing Functions: Concepts
The learner will be able to graph relations and/or functions with the aid of concepts including domain, range, rule, symmetry, asymptotes, and/or periodicity.
Strand Bloom's Scope Hours Source
Graphing Functions Application Master District Expectation
  
    Functions: Define/Graph/Evaluate
The learner will be able to define, graph, and evaluate, F(x), the following types of functions: identity, constant, absolute value, step, greatest integer, polynomial, linear, quadratic, square root, and piecewise, and exponential.
Strand Bloom's Scope Hours Source
Functions Application Master District Expectation
  
    Translations: Within Function Families
The learner will be able to apply shifts to graph a function from its parent function.
Strand Bloom's Scope Hours Source
Translations Application Master 1.5 District Expectation
  
    Compositions: Determine/Domain /Range
The learner will be able to determine the domain and range of the composition of two functions.
Strand Bloom's Scope Hours Source
Mapping/Composition Application Master 1.0 ID: State Achievement Standards, 2001, Grades 9-12, 353.03.a
  
    Inverse Functions
The learner will be able to find the inverse of a given function and determine whether that is a function.
Strand Bloom's Scope Hours Source
Inverses Application Master District Expectation
  
    Inverses: Domain/Range
The learner will be able to determine the domain and range of the inverse of a function.
Strand Bloom's Scope Hours Source
Inverses Application Master 1.0 District Expectation
  
    Exploring: Continuity/Asymptotes
The learner will be able to explore continuity, end behavior, asymptotes, and/or limits and associate these attributes with the graph of the function.
Strand Bloom's Scope Hours Source
Exploring Application Master ID: State Achievement Standards, 2001, Grades 9-12, 353.03.a
  
    Exponential/Logarithmic: Problem Solving
The learner will be able to solve problems using exponential and logarithmic functions by applying appropriate tools.
Strand Bloom's Scope Hours Source
Exponential/Logarithmic Functions Application Master 2.0 District Expectation
  
    Logarithmic/Exponential: Solve
The learner will be able to obtain solutions to logarithmic and exponential problems.
Strand Bloom's Scope Hours Source
Exponential/Logarithmic Functions Application Master 1.5 District Expectation
  
    Logarithmic/Exponential: Applications
The learner will be able to solve real-life problems involving exponential and logarithmic functions using suitable methods.
Strand Bloom's Scope Hours Source
Exponential/Logarithmic Functions Application Master 2.0 District Expectation
  
    Compositions: Determine/2 Functions
The learner will be able to determine the composite of two functions.
Strand Bloom's Scope Hours Source
Mapping/Composition Application Master 1.0 ID: District Expectation
  

Number Theory

    Radical Expressions: Simplify
The learner will be able to simplify radical expressions, and/or rationalize denominators through the application of the properties of radicals.
Strand Bloom's Scope Hours Source
Roots/Radicals Master District Expectation
  

Numeration

    Series: Limits/Definitions/Sums
The learner will be able to find the limit of an infinite series, make definitions of convergent and divergent series, and/or determine the sum of an infinite series, if possible.
Strand Bloom's Scope Hours Source
Series Master District Expectation
  
    Variation: Inverse
The learner will be able to identify the graph of an inverse variation as being a hyperbola and/or obtain problem solutions through the application of variations (direct/inverse).
Strand Bloom's Scope Hours Source
Variations Application Master District Expectation
  
    Sequences/Series: Determine/Relate
The learner will be able to determine specific terms in sequences, explain them in terms of recurrence formulas, relate them to linear and exponential functions, and find the first n partial sums of arithmetic and geometric series.
Strand Bloom's Scope Hours Source
Sequences/Series Application Master ID: State Achievement Standards, 2001, Grades 9-12, 347.02.b
  
    Series: Arithmetic/Geometric
The learner will be able to define and/or discriminate among arithmetic and geometric series.
Strand Bloom's Scope Hours Source
Series Application Master District Expectation
  
    Series: Sigma Notation
The learner will be able to show a series in correct sigma notation.
Strand Bloom's Scope Hours Source
Series Application Master 0.5 District Expectation
  

Data Analysis/Probability/Statistics

    Combinations/Permutations: Difference
The learner will be able to recognize and/or discern the differences between combinations and permutations, and/or find n things taken r at a time for each.
Strand Bloom's Scope Hours Source
Combinations Master District Expectation
  
    Correlation: Applying
The learner will be able to decide whether a given plot of data has positive or negative, strong or weak correlation.
Strand Bloom's Scope Hours Source
Correlation/Deviation/Variance Analysis Master 1.0 District Expectation
  
    Predictions: Regression Techniques
The learner will be able to forecast predictions from collected data by applying regression techniques.
Strand Bloom's Scope Hours Source
Predictions Analysis Master 1.5 ID: State Achievement Standards, 2001, Grades 9-12, 352.05.a
  
    Data Analysis
The learner will be able to use the mean, median, mode, variance and standard deviation to analyze data.
Strand Bloom's Scope Hours Source
Data Analysis Knowledge Master ID: State Achievement Standards, 2001, Grades 9-12, 352.03.a
  
    Predictions: Curve Fitting
The learner will be able to make predictions from data using curve fitting.
Strand Bloom's Scope Hours Source
Predictions Analysis Master 1.0 ID: State Achievement Standards, 2001, Grades 9-12, 352.05.a
  
    Predictions: Regression Techniques
The learner will be able to recognize typical statistical distributions.
Strand Bloom's Scope Hours Source
Predictions Application Master ID: State Achievement Standards, 2001, Grades 9-12, 352.04.a
  
    Probability Distributions: Recognize
The learner will be able to recognize typical statistical distributions.
Strand Bloom's Scope Hours Source
Probability Application Master ID: State Achievement Standards, 2001, Grades 9-12, 352.04.a
  

Problem Solving

    Problem Solving: Relate
The learner will be able to obtain solutions to problems that relate ideas to practical applications as well as to other ideas utilizing suitable instruments.
Strand Bloom's Scope Hours Source
Problem Solving Master ID: State Achievement Standards, 2001, Grades 9-12, 348.01
  
    Problem Solving: Estimate/Predict
The learner will be able to apply estimation strategies to predict calculated results when solving problems.
Strand Bloom's Scope Hours Source
Problem Solving Application Master 1.0 ID: State Achievement Standards, 2001, Grades 9-12, 352.05
  
    Strategies: Choose/Suitable
The learner will be able to choose suitable problem solving strategies.
Strand Bloom's Scope Hours Source
Strategies Application Master 1.0 ID: State Achievement Standards, 2001, Grades 9-12, 348.01
  
    Solution: Reasonableness
The learner will be able to evaluate the reasonableness of a given solution.
Strand Bloom's Scope Hours Source
Solution Evaluation Master 1.5 District Expectation
  
    Strategies: Choose/Tools/Suitable
The learner will be able to choose suitable mathematical tools to obtain solutions to problems.
Strand Bloom's Scope Hours Source
Strategies Application Master 1.0 ID: State Achievement Standards, 2001, Grades 9-12, 348.01.a
  

Rational and Irrational Numbers

    Equations: Solve Rational
The learner will be able to obtain solutions to rational equations.
Strand Bloom's Scope Hours Source
Equations Application Master 1.0 District Expectation
  

Real Numbers and the Coordinate Plane

    Graphing: Create/Transformation
The learner will be able to create an equation or graph that is a result of transformations using a parent equation or graph.
Strand Bloom's Scope Hours Source
Graphing Master District Expectation
  
    Real Numbers: Nth Roots/Real/Complex
The learner will be able to find the nth roots (real or complex) of real numbers.
Strand Bloom's Scope Hours Source
Real Numbers Application Master 1.0 District Expectation
  

Geometry

    Angle: Standard Position
The learner will be able to draw an angle in standard position and/or determine its reference and coterminal angles.
Strand Bloom's Scope Hours Source
Angles Master District Expectation
  

Trigonometry

    Angle Measure: Degree/Radian
The learner will be able to interchangeably use degrees and radians to illustrate angle measure and describe the advantages and/or disadvantages of their choice.
Strand Bloom's Scope Hours Source
Radians/Angles Application Master ID: State Achievement Standards, 2001, Grades 9-12, 351.02.b
  
    Trig Concepts: Law of Sines and Cosines
The learner will be able to apply the Law of Sines and the Law of Cosines to solve oblique triangles.
Strand Bloom's Scope Hours Source
Trigonometric Concepts Application Master 2.0 ID: State Achievement Standards, 2001, Grades 9-12, 351.02.a
  

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