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Elkhorn Public Schools
Math
Mathematics - Algebra I

Algebraic Concepts

Equations/Inequalities: Steps
The learner will be able to demonstrate an understanding of the steps needed to solve a given equation or inequality (applying order of operations; addition, subtraction, multiplication and division of real numbers; applying properties of real numbers; and combining like terms).
Strand Scope Source
Solve Equations Master Elkhorn High School.; NE: Standards, February 6, 1998, Grade 12, 12.6.2, 12.2.1
  
Linear Equations/Inequalities: Graph
The learner will be able to graph linear equations and inequalities in the coordinate plane using tables and the slope-intercept method.
Strand Scope Source
Absolute Value Master Elkhorn High School(a).; NE: Standards, February 6, 1998, Grade 12, 12.6.1
  
Linear Equations: Writing
The learner will be able to write linear equations given two points, point and slope, or slope and y-intercept.
Strand Scope Source
Absolute Value Master Elkhorn High School(a).; NE: Standards, February 6, 1998, Grade 12, 12.6.1
  
Systems of Equations: Apply/Solve
The learner will be able to use and obtain solutions to problems involving systems of equations (graphing, substitution, and linear combinations).
Strand Scope Source
Systems of Equations Master NE: Standards, February 6, 1998, Grade 12, 12.6.3
  
Inequalities: System/Apply/Solve
The learner will be able to use and obtain graphically solutions to systems of inequalities.
Strand Scope Source
Inequalities Master NE: Standards, February 6, 1998, Grade 12, 12.6.3
  
Exponents and Exponential Functions
The learner will be able to multiply and divide expressions with exponents; and use scientific notation in problem solving.
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 multiply 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: Recognize
The learner will be able to recognize the attributes of families of linear and quadratic functions.
Strand Scope Source
Absolute Value Introduce NE: Standards, February 6, 1998, Grade 12, 12.6.4
  
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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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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 Master NE: Standards, February 6, 1998, Grade 12, 12.6.4
  
Direct/Inverse Variation: Application
The learner will be able to use direct and inverse variations to evaluate equations using rates, ratios, proportions, and percents.
Strand Scope Source
Numeration/Number Sense Master NE: Standards, February 6, 1998, Grade 12, 12.6.4, 12.2.1, 12.1.1
  
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Probability/Statistics

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
  
Data Analysis: Write Equation
The learner will be able to use line of best fit to predict.
Strand Scope Source
Data Analysis, Probability, Statistical Master NE: Standards, February 6, 1998, Grade 12, 12.5.2
  
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Problem Solving

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

Coordinate Geometry: Locate Objects
The learner will be able to use coordinate geometry to determine the location.
Strand Scope Source
Coordinate Geometry Master NE: Standards, February 6, 1998, Grade 12, 12.4.4
  
Real Numbers: Relationships/Subsets
The learner will be able to explain and compare the relationships among all subsets of real numbers.
Strand Scope Source
Real Numbers Master NE: Standards, February 6, 1998, Grade 12, 12.1.1
  
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