Mathematics - Algebra B

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Elkhorn Public Schools

Math

Mathematics - Algebra B

Goals and Descriptions

Algebraic Concepts

Algebraic Concepts Description

Exponents and Exponential Functions
The learner will be able to multiply and divide expressions with exponents; use scientific notation in problem solving; and use exponential growth and decay models to solve real-life problems.

Strand	Scope	Source
Absolute Value	Master	Elkhorn High School(a).; NE: Standards, February 6, 1998, Grade 12, 12.2.1

Radicals
The learner will be able to evaluate and approximate square roots, simplify radicals, and add, subtract, multiply and divide radicals.

Strand	Scope	Source
Radicals	Master	Elkhorn High School(a).; NE: Standards, February 6, 1998, Grade 12, 12.2.1

Polynomials
The learner will be able to add, subtract and multipley polynomials.

Strand	Scope	Source
Polynomials	Master	Elkhorn High School(a).; NE: Standards, February 6, 1998, Grade 12, 12.6.2

Polynomials and factoring
The learner will be able to factor polynomials.

Strand	Scope	Source
Polynomials	Master	Elkhorn High School(a).; NE: Standards, February 6, 1998, Grade 12, 12.6.2

Quadratic Equations: Solving
The learner will be able to solve quadratic equations by factoring, finding square roots, by using quadratic formula, or completing the square.

Strand	Scope	Source
Quadratic Equations/Formula	Master	NE: Standards, February 6, 1998, Grade 12, 12.6.2

Rational Expressions
The learner will be able to solve rational expressions; multiply, and divide rational expressions.

Strand	Scope	Source
Rates	Master	Elkhorn High School(a).; NE: Standards, February 6, 1998, Grade 12, 12.6.4, 12.6.2

Connecting: Algebra/Geometry
The learner will be able to apply the Pythagorean theorem.

Strand	Scope	Source
Connecting	Master	NE: Standards, February 6, 1998, Grade 12, 12.6.1

Problem Solving: Represent
The learner will be able to illustrate a problem in a variety of formats (words, tables, graphs, and symbols).

Strand	Scope	Source
Problem Solving	Master	NE: Standards, February 6, 1998, Grade 12, 12.6.4

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Functions

Functions Description

Functions: Recognize
The learner will be able to recognize the attributes of families of linear, quadratic, functions.

Strand	Scope	Source
Absolute Value	Introduce	NE: Standards, February 6, 1998, Grade 12, 12.6.4

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Number Theory

Number Theory Description

Equivalent Forms: Express Numbers
The learner will be able to convey the equivalent forms of numbers by applying exponents, radicals, scientific notation, absolute values, fractions, decimals, and percents.

Strand	Scope	Source
Numeration	Reinforce	NE: Standards, February 6, 1998, Grade 12, 12.1.2

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Numeration

Numeration Description

Computing/Estimating: Strategies
The learner will be able to estimate and compute with paper and pencil, and with a scientific calculator.

Strand	Scope	Source
Computing/Estimating	Master	NE: Standards, February 6, 1998, Grade 12, 12.2.3

Pattern: Apply/Solve
The learner will be able to use and obtain solutions to problems applying patterns and deriving formulas from those patterns.

Strand	Scope	Source
Patterns: Problem Solving	Reinforce	NE: Standards, February 6, 1998, Grade 12, 12.6.4

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Probability/Statistics

Probability/Statistics Description

Data Management: Problem Solving
The learner will be able to obtain solutions to complex problems by organizing, displaying, and interpreting data.

Strand	Scope	Source
Data Analysis, Probability, Statistical	Master	NE: Standards, February 6, 1998, Grade 12, 12.5.1

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Problem Solving

Problem Solving Description

Problem Solving: Theoretical/Applied
The learner will be able to apply numbers in equivalent forms, radicals, exponents, scientific notation, absolute values, fractions, decimals, percents, ratios and proportions, order of operations, and properties of real numbers to obtain solutions to theoretical and applied problems throughout the course.

Strand	Scope	Source
Algebraic Concepts	Master	NE: Standards, February 6, 1998, Grade 12, 12.2.1

Solutions: Justify Reasonableness
The learner will be able to provide justification for the reasonableness of a solution.

Strand	Scope	Source
Numeration	Master	NE: Standards, February 6, 1998, Grade 12, 12.2.2

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Real Numbers and the Coordinate Plane

Real Numbers and the Coordinate Plane Description

Coordinate Geometry: Locate Objects
The learner will be able to use coordinate geometry to determine the location of objects.

Strand	Scope	Source
Coordinate Geometry	Master	NE: Standards, February 6, 1998, Grade 12, 12.4.4

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