Mathematics IN: Algebra II

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School City of Hobart Mathematics

Mathematics - IN: Algebra II

Mathematics

The ISTEP+ assessment measures the academic performance of students in Mathematics.

The Indiana Academic Standards provide educators and administrators with a complete set of Indiana's K-12 academic standards for Mathematics. Schools should work to align curriculum instruction and classroom assessment with the new standards. While the standards set expectations for student learning they do not prescribe how the standards should be taught.

Teachers should use their skills, experience, talents, and resources to design classroom lessons to meet the individual needs of their students. With these new academic standards in place students in Indiana will be well equipped with the skills and knowledge to prepare them for the future.

IN: Algebra II

The ISTEP+ assesses the academic performance of students in Mathematics at grade 10.

The Indiana Academic Standards for Mathematics include standards for students in Algebra II.

Algebraic Concepts

The Algebraic Concepts Unit includes Competencies/Objectives which focus on algebraic equations and operations. Students explore the symbolic nature of algebraic concepts by identifying and extending patterns in algebra, by following algebraic procedures, and by proving theorems with properties.

Equations: Comprehend/Logic
The learner will be able to comprehend that the logic of finding the solutions to equations begins with the assumption that the variable is a number that satisfies the equation, and that the process used when solving equations generates new equations that usually have the same solution set as the original, and understand that similar logic applies to obtaining solutions to systems of equations simultaneously.

Strand	Bloom's	Scope	Source
Equations		Master	IN: Academic Standards, 2000, Algebra II, A2.10.5

Linear Equations: Determine/Model
The learner will be able to determine a linear equation that illustrates a data set applying the median fit method and formulate predictions using the illustration.

Strand	Bloom's	Scope	Source
Linear Equations		Master	IN: Academic Standards, 2000, Algebra II, A2.2.4

Polynomials: Relationships
The learner will be able to comprehend and explain the relationships among the solutions of an equation, the zeros of a function, the x-intercepts of a graph, and the factors of a polynomial expression.

Strand	Bloom's	Scope	Source
Polynomials		Master	IN: Academic Standards, 2000, Algebra II, A2.5.7

Equation/Inequality: Comprehend/Use
The learner will be able to develop a comprehension of fundamental algebraic concepts and abilities, and use those abilities requiring algebraic manipulation to obtain solutions to equations and inequalities.

Strand	Bloom's	Scope	Source
Equality/Inequality		Master	IN: Statewide Testing for Educational Progress (ISTEP+), 1999-2000, Grade 10, 10.4 week tested: 4.

Logarithms: Simplify/Expressions
The learner will be able to apply the properties of logarithms to simplify expressions and to determine their estimated values.

Strand	Bloom's	Scope	Source
Logarithms		Master	IN: Academic Standards, 2000, Algebra II, A2.7.6

Inequalities: Solve/Graph
The learner will be able to obtain solutions to inequalities through examination of the graph.

Strand	Bloom's	Scope	Source
Inequalities	Application	Master	IN: Academic Standards, 2000, Algebra II, A2.1.6

Absolute Value: Graph/Equation
The learner will be able to create graphs of absolute value equations.

Strand	Bloom's	Scope	Source
Absolute Value	Application	Master	IN: Academic Standards, 2000, Algebra II, A2.2.1

Absolute Value: Graph/Inequalities
The learner will be able to create graphs of absolute value inequalities.

Strand	Bloom's	Scope	Source
Absolute Value	Application	Master	IN: Academic Standards, 2000, Algebra II, A2.2.1

Polynomials: Solve/Factoring
The learner will be able to solve polynomial equations by factoring.

Strand	Bloom's	Scope	Source
Polynomials	Application	Master	IN: Academic Standards, 2000, Algebra II, A2.5.3

Polynomials: Divide
The learner will be able to divide polynomials.

Strand	Bloom's	Scope	Source
Polynomials	Application	Master	IN: Academic Standards, 2000, Algebra II, Standard 5

Polynomials: Divide By Lower Degree
The learner will be able to divide a polynomial by another polynomial which is of a lower degree.

Strand	Bloom's	Scope	Source
Polynomials	Application	Master	IN: Academic Standards, 2000, Algebra II, A2.5.2

Polynomial Equations: Solving
The learner will be able to solve polynomial equations using the appropriate method.

Strand	Bloom's	Scope	Source
Polynomials	Application	Master	IN: Academic Standards, 2000, Algebra II, Standard 5

Polynomials: Solve/Equations
The learner will be able to determine approximate solutions for polynomial equations using graphing technology.

Strand	Bloom's	Scope	Source
Polynomials	Application	Master	IN: Academic Standards, 2000, Algebra II, A2.5.4

Polynomials: Write
The learner will be able to write a polynomial equation given its solutions.

Strand	Bloom's	Scope	Source
Polynomials	Application	Master	IN: Academic Standards, 2000, Algebra II, A2.5.6

Polynomials: Equations/Word Problems
The learner will be able to obtain solutions to word problems using polynomial equations.

Strand	Bloom's	Scope	Source
Polynomials	Application	Master	IN: Academic Standards, 2000, Algebra II, A2.5.5

Radical Expressions: Solve
The learner will be able to obtain solutions to equations that contain radical expressions.

Strand	Bloom's	Scope	Source
Radicals	Application	Master	IN: Academic Standards, 2000, Algebra II, A2.3.6

Quadratic Equations: Solve
The learner will be able to apply a method for obtaining solutions to quadratic equations over the set of complex numbers.

Strand	Bloom's	Scope	Source
Quadratic Equations/Formula	Application	Master	IN: Academic Standards, 2000, Algebra II, Standard 3, A2.3.3

Quadratic Equations: Solve
The learner will be able to find solutions to quadratic equations.

Strand	Bloom's	Scope	Source
Quadratic Equations/Formula	Application	Master	IN: Academic Standards, 2000, Algebra II, Standard 3

Exponents: Comprehend/Negative
The learner will be able to comprehend negative exponents.

Strand	Bloom's	Scope	Source
Exponents	Comprehension	Master	IN: Academic Standards, 2000, Algebra II, A2.6.1

Exponents: Comprehend/Fractional
The learner will be able to comprehend fractional exponents.

Strand	Bloom's	Scope	Source
Exponents	Comprehension	Master	IN: Academic Standards, 2000, Algebra II, A2.6.1

Exponents: Negative Exponents
The learner will be able to apply negative exponents.

Strand	Bloom's	Scope	Source
Exponents	Application	Master	IN: Academic Standards, 2000, Algebra II, Standard 6, A2.6.1

Exponents: Apply/Fractional Exponents
The learner will be able to apply fractional exponents.

Strand	Bloom's	Scope	Source
Exponents	Application	Master	IN: Academic Standards, 2000, Algebra II, Standard 6, A2.6.1

Exponents: Solve/Equations
The learner will be able to obtain solutions to exponential equations.

Strand	Bloom's	Scope	Source
Exponents	Application	Master	IN: Academic Standards, 2000, Algebra II, Standard 7, A2.7.4

Exponents: Solve/Inequalities
The learner will be able to solve exponential inequalities.

Strand	Bloom's	Scope	Source
Exponents	Application	Master	IN: Academic Standards, 2000, Algebra II, Standard 7, A2.7.4

Factoring: Polynomials
The learner will be able to factor polynomials.

Strand	Bloom's	Scope	Source
Factoring	Application	Master	IN: Academic Standards, 2000, Algebra II, Standard 5

Factoring: Polynomials
The learner will be able to completely factor polynomials.

Strand	Bloom's	Scope	Source
Factoring	Application	Master	IN: Academic Standards, 2000, Algebra II, A2.5.3

Logarithms: Natural/Common
The learner will be able to determine the decimal approximations of natural and common logarithmic numeric expressions using calculators.

Strand	Bloom's	Scope	Source
Logarithms	Application	Master	IN: Academic Standards, 2000, Algebra II, A2.7.7

Logarithmic: Solve/Equations
The learner will be able to obtain solutions to logarithmic equations.

Strand	Bloom's	Scope	Source
Logarithms	Application	Master	IN: Academic Standards, 2000, Algebra II, Standard 7, A2.7.4

Logarithmic Inequalities
The learner will be able to solve logarithmic inequalities.

Strand	Bloom's	Scope	Source
Logarithms	Application	Master	IN: Academic Standards, 2000, Algebra II, Standard 7, A2.7.4

Logarithms: Prove Laws
The learner will be able to create proofs of the basic laws of logarithms.

Strand	Bloom's	Scope	Source
Logarithms	Synthesis	Master	IN: Academic Standards, 2000, Algebra II, A2.7.2

Systems of Equations: Quadratic/Linear
The learner will be able to obtain solutions to pairs of equations, when one is quadratic and one is linear, or when both are quadratic.

Strand	Bloom's	Scope	Source
Systems of Equations	Application	Master	IN: Academic Standards, 2000, Algebra II, A2.3.7

Systems of Equations: Solve
The learner will be able to obtain solutions to systems of two or three equations in two or three variables using substitution, elimination, and matrices.

Strand	Bloom's	Scope	Source
Systems of Equations	Application	Master	IN: Academic Standards, 2000, Algebra II, A2.2.2

Systems of Equations: Word Problems
The learner will be able to obtain solutions to word problems using systems of equations and inequalities.

Strand	Bloom's	Scope	Source
Systems of Equations	Application	Master	IN: Academic Standards, 2000, Algebra II, A2.2.3

Basic Operations: Algebraic Fractions
The learner will be able to perform the four basic operations with algebraic fractions.

Strand	Bloom's	Scope	Source
Basic Operations	Application	Master	IN: Academic Standards, 2000, Algebra II, A2.6.2

Solve Equations: Algebraic Fractions
The learner will be able to obtain solutions to equations containing algebraic fractions.

Strand	Bloom's	Scope	Source
Solve Equations	Application	Master	IN: Academic Standards, 2000, Algebra II, Standard 6, A2.6.4

Solve Equations: Word Problems
The learner will be able to obtain solutions to word problems that are linked to linear and/or quadratic equations.

Strand	Bloom's	Scope	Source
Solve Equations	Application	Master	IN: Academic Standards, 2000, Algebra II, A2.3.5

Nonlinear Equations: Solve/Square Roots
The learner will be able to obtain solutions to equations involving square roots.

Strand	Bloom's	Scope	Source
Nonlinear Equations	Application	Master	IN: Academic Standards, 2000, Algebra II, Standard 3

Nonlinear Equations: Solve/Fractional
The learner will be able to obtain solutions to word problems containing fractional equations.

Strand	Bloom's	Scope	Source
Nonlinear Equations	Application	Master	IN: Academic Standards, 2000, Algebra II, A2.6.5

Binomial Theorem: Comprehend
The learner will be able to comprehend the binomial theorem.

Strand	Bloom's	Scope	Source
Binomial Expansion	Comprehension	Master	IN: Academic Standards, 2000, Algebra II, A2.5.1

Binomial Theorem: Apply
The learner will be able to use the Binomial Theorem.

Strand	Bloom's	Scope	Source
Binomial Expansion	Application	Master	IN: Academic Standards, 2000, Algebra II, Standard 5

Binomial Theorem: Apply
The learner will be able to apply the binomial theorem to expand binomial expressions raised to positive integer powers.

Strand	Bloom's	Scope	Source
Binomial Expansion	Application	Master	IN: Academic Standards, 2000, Algebra II, A2.5.1

Calculus and Pre-Calculus

The Calculus/Pre-Calculus Unit includes Competencies/Objectives which focus on calculus concepts. Students study limits, matrix algebra, functions, vectors, conic sections, mathematical induction, and sequence and series using graphical calculators, computers, and models.

Conic Sections: Graph
The learner will be able to draw the graphs of conic sections.

Strand	Bloom's	Scope	Source
Conic Sections	Application	Master	IN: Academic Standards, 2000, Algebra II, Standard 4, A2.4.2

Conic Sections: Write/Equations
The learner will be able to write equations of conic sections.

Strand	Bloom's	Scope	Source
Conic Sections	Application	Master	IN: Academic Standards, 2000, Algebra II, Standard 4, A2.4.1

Complex Numbers: Define
The learner will be able to express a definition of complex numbers.

Strand	Bloom's	Scope	Source
Complex Numbers	Knowledge	Master	IN: Academic Standards, 2000, Algebra II, A2.3.1

Complex Numbers: Comprehend
The learner will be able to comprehend the relationship between real and complex numbers.

Strand	Bloom's	Scope	Source
Complex Numbers	Comprehension	Master	IN: Academic Standards, 2000, Algebra II, A2.3.2

Complex Numbers: Plot
The learner will be able to plot points that are complex numbers on the plane.

Strand	Bloom's	Scope	Source
Complex Numbers	Application	Master	IN: Academic Standards, 2000, Algebra II, A2.3.2

Complex Numbers: Operations
The learner will be able to perform the four basic operations on complex numbers.

Strand	Bloom's	Scope	Source
Complex Numbers	Application	Master	IN: Academic Standards, 2000, Algebra II, A2.3.1

Fractions

The Fractions Unit includes Competencies/Objectives which focus on number sense and operations with fractions. Students compare and order fractions, study fraction parts, estimate with fractions, reason using fractions, and problem solve using fractions.

Fractions: Simplify/Complex
The learner will be able to simplify complex fractions.

Strand	Bloom's	Scope	Source
Fractions	Application	Master	IN: Academic Standards, 2000, Algebra II, A2.6.3

Fractions: Simplify/Algebraic Fractions
The learner will be able to perform the simplification of algebraic fractions.

Strand	Bloom's	Scope	Source
Fractions	Application	Master	IN: Academic Standards, 2000, Algebra II, Standard 6, A2.6.2

Functions

The Functions Unit includes Competencies/Objectives which focus on exploring polynomial, rational, exponential, logarithmic, trigonometric, and circular functions.

Functions/Relations: Graph
The learner will be able to create graph of relations and functions with and without graphing technology.

Strand	Bloom's	Scope	Source
Functions/Relations		Master	IN: Academic Standards, 2000, Algebra II, A2.1.4

Quadratic Functions: Determine/Interpret
The learner will be able to determine and interpret the maximum or minimum value and the zeros of quadratic functions.

Strand	Bloom's	Scope	Source
Absolute Value/Quadratic Functions		Master	IN: Academic Standards, 2000, Algebra II, A2.3.4

Graphing Functions: Piecewise
The learner will be able to make and/or explore graphs of piecewise defined functions.

Strand	Bloom's	Scope	Source
Graphing Functions		Master	IN: Academic Standards, 2000, Algebra II, A2.1.7

Functions: Interpret
The learner will be able to interpret given scenarios as functions in graphs, formulas, and words.

Strand	Bloom's	Scope	Source
Functions		Master	IN: Academic Standards, 2000, Algebra II, A2.1.8

Functions: Comprehension
The learner will be able to develop a comprehension of basic functions, their graphs, and their real world applications.

Strand	Bloom's	Scope	Source
Functions		Master	IN: Statewide Testing for Educational Progress (ISTEP+), 1999-2000, Grade 10, 10.5 week tested: 4.

Functions/Relations: Determine/Zeros
The learner will be able to determine the zeros of functions and relations.

Strand	Bloom's	Scope	Source
Functions/Relations	Application	Master	IN: Academic Standards, 2000, Algebra II, Standard 1, A2.1.5

Operations: Perform/Four Basic
The learner will be able to perform the four basic operations with pairs of functions.

Strand	Bloom's	Scope	Source
Operations	Application	Master	IN: Academic Standards, 2000, Algebra II, A2.1.2

Quadratic Functions: Graphing
The learner will be able to graph quadratic functions.

Strand	Bloom's	Scope	Source
Absolute Value/Quadratic Functions	Application	Master	IN: Academic Standards, 2000, Algebra II, A2.3.4

Quadratic Functions: Use
The learner will be able to apply transformations to quadratic functions.

Strand	Bloom's	Scope	Source
Absolute Value/Quadratic Functions	Application	Master	IN: Academic Standards, 2000, Algebra II, A2.3.4

Quadratic Functions: Maxima/Minima
The learner will be able to make interpretations of the maxima and minima values of quadratic functions.

Strand	Bloom's	Scope	Source
Absolute Value/Quadratic Functions	Analysis	Master	IN: Academic Standards, 2000, Algebra II, Standard 3

Compositions: Comprehend
The learner will be able to comprehend the composition of functions.

Strand	Bloom's	Scope	Source
Mapping/Composition	Comprehension	Master	IN: Academic Standards, 2000, Algebra II, A2.1.3

Compositions: Form
The learner will be able to form the composition of functions.

Strand	Bloom's	Scope	Source
Mapping/Composition	Application	Master	IN: Academic Standards, 2000, Algebra II, Standard 1, A2.1.3

Exponential Functions: Graph
The learner will be able to graph exponential functions.

Strand	Bloom's	Scope	Source
Exponential Functions	Application	Master	IN: Academic Standards, 2000, Algebra II, Standard 7, A2.7.1

Exponential Functions: Word Problems
The learner will be able to obtain solutions to word problems involving exponential functions.

Strand	Bloom's	Scope	Source
Exponential Functions	Application	Master	IN: Academic Standards, 2000, Algebra II, Standard 7

Exponential Functions: Word Problems
The learner will be able to obtain solutions to word problems involving the application of exponential functions to growth and decay.

Strand	Bloom's	Scope	Source
Exponential Functions	Application	Master	IN: Academic Standards, 2000, Algebra II, A2.7.8

Exponential/Logarithmic: Comprehend
The learner will be able to comprehend the inverse relationship between exponents and logarithms.

Strand	Bloom's	Scope	Source
Exponential/Logarithmic Functions	Comprehension	Master	IN: Academic Standards, 2000, Algebra II, A2.7.3

Exponential/Logarithmic: Apply
The learner will be able to apply the inverse relationship between exponents and logarithms.

Strand	Bloom's	Scope	Source
Exponential/Logarithmic Functions	Application	Master	IN: Academic Standards, 2000, Algebra II, A2.7.3

Exponential/Logarithmic: Demonstrate
The learner will be able to demonstrate the relationships between exponential and logarithmic functions.

Strand	Bloom's	Scope	Source
Exponential/Logarithmic Functions	Application	Master	IN: Academic Standards, 2000, Algebra II, Standard 7

Functions: Graph
The learner will be able to create graphs of functions.

Strand	Bloom's	Scope	Source
Graphing Functions	Application	Master	IN: Academic Standards, 2000, Algebra II, Standard 1, A2.1.1

Rational Functions
The learner will be able to identify a rational function.

Strand	Bloom's	Scope	Source
Rational Functions	Knowledge	Master	IN: Academic Standards, 2000, Algebra II, A2.1.1

Rational Functions: Graph
The learner will be able to graph a rational function.

Strand	Bloom's	Scope	Source
Rational Functions	Application	Master	IN: Academic Standards, 2000, Algebra II, A2.1.1

Polynomial Functions
The learner will be able to identify a polynomial function.

Strand	Bloom's	Scope	Source
Polynomial Functions	Knowledge	Master	IN: Academic Standards, 2000, Algebra II, A2.1.1

Polynomial Functions: Graph
The learner will be able to graph a polynomial function.

Strand	Bloom's	Scope	Source
Polynomial Functions	Application	Master	IN: Academic Standards, 2000, Algebra II, A2.1.1

Algebraic Functions: Identify
The learner will be able to identify algebraic functions.

Strand	Bloom's	Scope	Source
Algebraic Functions	Knowledge	Master	IN: Academic Standards, 2000, Algebra II, A2.1.1

Algebraic Functions: Graph
The learner will be able to graph algebraic functions.

Strand	Bloom's	Scope	Source
Algebraic Functions	Application	Master	IN: Academic Standards, 2000, Algebra II, A2.1.1

Relations: Graphs
The learner will be able to create graphs of relations.

Strand	Bloom's	Scope	Source
Relations	Synthesis	Master	IN: Academic Standards, 2000, Algebra II, Standard 1

Functions: Identify
The learner will be able to identify many different functions.

Strand	Bloom's	Scope	Source
Functions	Knowledge	Master	IN: Academic Standards, 2000, Algebra II, A2.1.1

Functions: Notation/Use
The learner will be able to apply function notation.

Strand	Bloom's	Scope	Source
Functions	Application	Master	IN: Academic Standards, 2000, Algebra II, Standard 1, A2.1.2

Functions: Interpret
The learner will be able to interpret functions.

Strand	Bloom's	Scope	Source
Functions	Analysis	Master	IN: Academic Standards, 2000, Algebra II, Standard 1

Geometry

The Geometry Unit includes Competencies/Objectives which focus on exploring geometric concepts from multiple perspectives. Students study properties and construction of figures, proofs and theorems, history of geometry, transformations, logic, and problem solving.

Figures: Comprehend/2D-3D/Problems
The learner will be able to comprehend how two- and three-dimensional figures may be used in real world problem situations.

Strand	Bloom's	Scope	Source
Figures: Two-/Three-Dimensional		Master	IN: Statewide Testing for Educational Progress (ISTEP+), 1999-2000, Grade 10, 10.6 week tested: 4.

Inductive/Deductive: Apply
The learner will be able to apply inductive and deductive reasoning to solve problems.

Strand	Bloom's	Scope	Source
Reasoning	Synthesis	Master	IN: Statewide Testing for Educational Progress (ISTEP+), 1999-2000, Grade 10, 10.3 week tested: 4.

Proofs: Produce/Counterexample
The learner will be able to produce a counterexample to illustrate that an invalid statement does not hold.

Strand	Bloom's	Scope	Source
Proofs	Synthesis	Master	IN: Academic Standards, 2000, Algebra II, A2.10.6

Mathematics Processes

The Mathematics Processes Unit includes Competencies/Objectives which focus on mathematical connections. Students communicate and model concepts and procedures.

Reasoning: True/False
The learner will be able to determine if a given algebraic statement is true always, never, or occasionally.

Strand	Bloom's	Scope	Source
Reasoning		Master	IN: Academic Standards, 2000, Algebra II, A2.10.3

Math as Reasoning: Create/Evaluate
The learner will be able to create and evaluate mathematical arguments and proofs.

Strand	Bloom's	Scope	Source
Reasoning		Master	IN: Academic Standards, 2000, Algebra II, Standard 10

Mathematics as Communication: Real World
The learner will be able to express their thoughts (in written and verbal form) concerning mathematical concepts, their power and many applications, and their uses in real world scenarios.

Strand	Bloom's	Scope	Source
Communication		Master	IN: Statewide Testing for Educational Progress (ISTEP+), 1999-2000, Grade 10, 10.2 week tested: 4.

Number Theory

The Number Theory Unit includes Competencies/Objectives which focus on manipulating number forms and classifications. Students make connections between number forms and their real world applications.

Logarithms: Apply/Definition
The learner will be able to apply the definition of logarithms to convert logarithms from one base to another.

Strand	Bloom's	Scope	Source
Logarithms	Application	Master	IN: Academic Standards, 2000, Algebra II, A2.7.5

Numeration

The Numeration Unit includes Competencies/Objectives which focus on exploring ordinality, identifying and extending number patterns, comparing numbers, and demonstrating number relationships.

Sequences: Determine/Terms
The learner will be able to determine specific terms of both arithmetic and geometric sequences.

Strand	Bloom's	Scope	Source
Sequences	Application	Master	IN: Academic Standards, 2000, Algebra II, A2.8.2

Series: Partial Sum
The learner will be able to calculate the partial sums of both arithmetic and geometric series.

Strand	Bloom's	Scope	Source
Series	Application	Master	IN: Academic Standards, 2000, Algebra II, A2.8.3

Sequence/Series: Define
The learner will be able to give definitions of both arithmetic and geometric sequences and series.

Strand	Bloom's	Scope	Source
Sequences/Series	Knowledge	Master	IN: Academic Standards, 2000, Algebra II, Standard 8, A2.8.1

Sequence/Series: Apply
The learner will be able to apply both arithmetic and geometric sequences and series.

Strand	Bloom's	Scope	Source
Sequences/Series	Application	Master	IN: Academic Standards, 2000, Algebra II, Standard 8

Sequence/Series: Problem Solving
The learner will be able to apply sequences and series to obtain solutions to word problems.

Strand	Bloom's	Scope	Source
Sequences/Series	Application	Master	IN: Academic Standards, 2000, Algebra II, A2.8.4

Direct/Inverse Variation: Application
The learner will be able to use both direct and inverse variation in solving problems.

Strand	Bloom's	Scope	Source
Variations	Application	Master	IN: Academic Standards, 2000, Algebra II, Standard 6, A2.6.6

Variation: Problem Solve/Joint
The learner will be able to use joint variation in solving problems.

Strand	Bloom's	Scope	Source
Variations	Application	Master	IN: Academic Standards, 2000, Algebra II, Standard 6, A2.6.6

Probability/Statistics

The Probability/Statistics Unit includes Competencies/Objectives which focus on data analysis and probability concepts. Students collect, analyze, and make sense of real world data (including overlapping data, inconclusive data, etc.).

Counting: Fundamental Principle
The learner will be able to comprehend and use counting principles to calculate combinations and permutations.

Strand	Bloom's	Scope	Source
Counting Methods		Master	IN: Academic Standards, 2000, Algebra II, A2.9.1

Counting Principle: Apply
The learner will be able to apply the basic counting principle, combinations, and permutations to calculate probabilities.

Strand	Bloom's	Scope	Source
Counting Methods		Master	IN: Academic Standards, 2000, Algebra II, A2.9.2

Probability: Comprehend/Concept
The learner will be able to comprehend the basic concept of probability.

Strand	Bloom's	Scope	Source
Probability	Comprehension	Master	IN: Statewide Testing for Educational Progress (ISTEP+), 1999-2000, Grade 10, 10.8 week tested: 4.

Statistics: Comprehend/Descriptive
The learner will be able to develop a comprehension of descriptive statistics.

Strand	Bloom's	Scope	Source
Statistics	Comprehension	Master	IN: Statewide Testing for Educational Progress (ISTEP+), 1999-2000, Grade 10, 10.7 week tested: 4.

Counting: Fundamental Principle
The learner will be able to apply fundamental counting principles to calculate permutations and/or combinations.

Strand	Bloom's	Scope	Source
Counting Methods	Application	Master	IN: Academic Standards, 2000, Algebra II, Standard 9

Counting Methods: Find/Probability
The learner will be able to find the probability of events by applying fundamental counting principles.

Strand	Bloom's	Scope	Source
Counting Methods	Application	Master	IN: Academic Standards, 2000, Algebra II, Standard 9

Problem Solving

The Problem Solving Unit includes Competencies/Objectives which focus on analyzing problems, evaluating solutions, exploring problems, and developing strategies for solving problems.

Word Problems: Solve/Elementary
The learner will be able to apply computational abilities, appropriate technology, and/or paper-and-pencil methods in obtaining solutions to elementary word problems.

Strand	Bloom's	Scope	Source
Word Problems		Master	IN: Statewide Testing for Educational Progress (ISTEP+), 1999-2000, Grade 10, 10.9 week tested: 4.

Solutions: Evaluate Reasonableness
The learner will be able to evaluate the reasonableness of a given solution within the context of the original problem.

Strand	Bloom's	Scope	Source
Solution	Evaluation	Master	IN: Academic Standards, 2000, Algebra II, A2.10.2

Strategies: Use
The learner will be able to use a variety of strategies to solve problems.

Strand	Bloom's	Scope	Source
Strategies	Application	Master	IN: Academic Standards, 2000, Algebra II, Standard 10, A2.10.1

Strategies: Choose/Real World
The learner will be able to choose problem solving strategies for real world situations.

Strand	Bloom's	Scope	Source
Strategies	Application	Master	IN: Statewide Testing for Educational Progress (ISTEP+), 1999-2000, Grade 10, 10.1 week tested: 4.

Strategies: Apply/Real World
The learner will be able to apply problem solving strategies in real world situations.

Strand	Bloom's	Scope	Source
Strategies	Application	Master	IN: Statewide Testing for Educational Progress (ISTEP+), 1999-2000, Grade 10, 10.1 week tested: 4.

Real Numbers and the Coordinate Plane

The Real Numbers and the Coordinate Plane Unit includes Competencies/Objectives which focus on graphing concepts. Students graph equations and make connections between algebraic concepts and their geometric correspondences.

Linear Equations/Inequalities: Solve
The learner will be able to obtain solutions to systems of linear equations and inequalities and apply them in solving word problems.

Strand	Bloom's	Scope	Source
Linear Equations/Inequalities		Master	IN: Academic Standards, 2000, Algebra II, Standard 2

Properties: Apply
The learner will be able to apply the properties of number systems as well as the order of operations to justify the process of simplifying functions and obtaining solutions to equations.

Strand	Bloom's	Scope	Source
Real Number Properties		Master	IN: Academic Standards, 2000, Algebra II, A2.10.4

Linear Equations: Model/Data
The learner will be able to use linear equations to model data.

Strand	Bloom's	Scope	Source
Linear Equations	Application	Master	IN: Academic Standards, 2000, Algebra II, Standard 2