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Introduction
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Elkhorn Public Schools
Math
Mathematics - Precalculus

Algebraic Concepts

Equality/Inequality: Problem Solving
The learner will be able to use and obtain solutions to problems involving equations and inequalities.
Strand Scope Source
Equality/Inequality Reinforce NE: Standards, February 6, 1998, Grade 12, 12.6.2
  
Equations: Interpret/Graph
The learner will be able to graphically interpret algebraic equations.
Strand Scope Source
Equations Master NE: Standards, February 6, 1998, Grade 12, 12.6.1
  
Quadratic Equations: Solving
The learner will be able to solve quadratic equations using the appropriate method.
Strand Scope Source
Quadratic Equations/Formula Reinforce NE: Standards, February 6, 1998, Grade 12, 12.6.2
  
Problem Solving: Represent
The learner will be able to illustrate a problem in a variety of formats.
Strand Scope Source
Problem Solving Master NE: Standards, February 6, 1998, Grade 12, 12.6.4
  
Solution Tools: Graphing Calculators
The learner will be able to apply graphing calculators as a means of directly obtaining solutions and as a method to verify solutions obtained through algebraic methods.
Strand Scope Source
Solution Methods Master Elkhorn High School
  
Remainder/Factor Theorems
The learner will be able to apply the remainder and factor theorems.
Strand Scope Source
Factoring Master Elkhorn High School
  
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Calculus and Pre-Calculus

Matrices: Apply/Solve
The learner will be able to use and obtain solutions to problems involving matrices.
Strand Scope Source
Matrices Master NE: Standards, February 6, 1998, Grade 12, 12.6.3
  
Limits: At Infinity
The learner will be able to determine limits which are set at infinity.
Strand Scope Source
Limits Master Elkhorn High School
  
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Exponential Growth/Decay: Recognize
The learner will be able to identify patterns of exponential growth and decay.
Strand Scope Source
Algebraic Concepts Master NE: Standards, February 6, 1998, Grade 12, 12.6.4
  
Functions: Recognize
The learner will be able to recognize the attributes of families of functions.
Strand Scope Source
Absolute Value Master NE: Standards, February 6, 1998, Grade 12, 12.6.4
  
Functions: Apply/Solve
The learner will be able to use and obtain solutions to problems applying algebraic, trigonometric, logarithmic, and exponential functions.
Strand Scope Source
Algebraic Concepts Master NE: Standards, February 6, 1998, Grade 12, 12.6.4
  
Graphing: Domain/Range
The learner will be able to identify the domain and range of a given function or relation.
Strand Scope Source
Graphing Functions Master Elkhorn High School.; NE: Standards, February 6, 1998, Grade 12, 12.6.4
  
Functions: Operations/Composition
The learner will be able to perform operations on functions (including composition) and then identify the effects of the composition on the domain and range.
Strand Scope Source
Operations Master Elkhorn High School.; NE: Standards, February 6, 1998, Grade 12, 12.6.4
  
Trigonometric Functions: Identify/Graph
The learner will be able to identify and graph transformations of all of the six trigonometric functions.
Strand Scope Source
Trigonometric Functions Master Elkhorn High School.; NE: Standards, February 6, 1998, Grade 12, 12.6.4
  
Trigonometric Functions: Graph/Analyze
The learner will be able to analyze the graphs of trigonometric functions using phase shift, amplitude, period, and vertical displacement.
Strand Scope Source
Trigonometric Functions Master Elkhorn High School.; NE: Standards, February 6, 1998, Grade 12, 12.6.4
  
Polynomial Functions: Synthetic Division
The learner will be able to solve for the zeros of a polynomial function by applying synthetic division.
Strand Scope Source
Polynomial Functions Master Elkhorn High School, NE: Standars, February 6, 1998, Grade 12, 12.6.4
  
Rational Functions: Identify/Horiz. Asym
The learner will be able to identify the horizontal asymptote of a rational function by comparing the growth of the polynomials in the numerator and denominator.
Strand Scope Source
Rational Functions Master Elkhorn High School
  
Rational Functions: Identify/Vert. Asym.
The learner will be able to identify the zeros and vertical asymptotes of a rational function by analyzing polynomials in the numerator and denominator.
Strand Scope Source
Rational Functions Master Elkhorn High School
  
Rational Functions: Graph
The learner will be able to make graphs of rational functions by applying intercepts, symmetry, and/or asymptotes of all kinds.
Strand Scope Source
Rational Functions Master Elkhorn High School
  
Functions: Discontinuity Types
The learner will be able to analyze functions to determine types of discontinuities.
Strand Scope Source
Functions Master Elkhorn High School
  
Exponential/Logarithmic: Graph/Analyze
The learner will be able to analyze the graphs of both exponential and logarithmic functions.
Strand Scope Source
Exponential/Logarithmic Functions Master Elkhorn High School
  
Exponential/Logarithmic: Applying
The learner will be able to apply the inverse relationship of exponential and logarithmic functions.
Strand Scope Source
Exponential/Logarithmic Functions Master Elkhorn High School
  
Exponential/Logarithmic: Problem Solving
The learner will be able to solve problems using exponential and logarithmic functions.
Strand Scope Source
Exponential/Logarithmic Functions Master Elkhorn High School
  
Exponential/Logarithmic: Solve
The learner will be able to obtain solutions to exponential and logarithmic equations representing real-world problems.
Strand Scope Source
Exponential/Logarithmic Functions Master Elkhorn High School.; NE: Standards, February 6, 1998, Grade 12, 12.6.4
  
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Deductive Reasoning: Conclusions
The learner will be able to use deductive reasoning to draw valid conclusions.
Strand Scope Source
Reasoning Master NE: Standards, February 6, 1998, Grade 12, 12.4.7
  
Transformations: Demonstrate
The learner will be able to perform transformations such as reflections, translations, and rotations.
Strand Scope Source
Transformations Master Elkhorn High School.; NE: Standards, February 6, 1998, Grade 12, 12.4.4
  
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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 Master NE: Standards, February 6, 1998, Grade 12, 12.1.2
  
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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.
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: Describe Objects
The learner will be able to use coordinate geometry to explain objects algebraically.
Strand Scope Source
Acute/Right/Obtuse Angles Master NE: Standards, February 6, 1998, Grade 12, 12.4.4
  
Graphing: Symmetry
The learner will be able to identify symmetry within graphs on the coordinate plane.
Strand Scope Source
Graphing Master Elkhorn High School.; NE: Standards, February 6,1998, Grade 12, 12.4.3
  
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Triangles: Right/Problem Solving
The learner will be able to solve problems using right triangle trigonometry.
Strand Scope Source
Geometry Master NE: Standards, February 6, 1998, Grade 12, 12.4.5
  
Angle Measure: Relating Degree/Radian
The learner will be able to determine the relationship between measure in radians and degrees.
Strand Scope Source
Radians/Angles Master Elkhorn High School
  
Trigonometric Identities: Apply
The learner will be able to apply the following identities: sum/difference, reduction, double angle, and half angle in the simplification of expressions and/or solution of equations.
Strand Scope Source
Trigonometric Identities Master Elkhorn High School
  
Trig. Values: Values/Special Angles
The learner will be able to determine the values of the trigonometric functions of the special angles and their related angles as found in the unit circle without the assistance of a calculating tool including converting radians to degrees and vice versa.
Strand Scope Source
Circles Master Elkhorn High School.; NE: Standards, February 6, 1998, Grade 12, 12.4.5
  
Connecting: Sine/Cosine/Phenomena
The learner will be able to use sine and cosine functions in describing repeating physical occurrences, including sound waves, ocean tides, and electric current.
Strand Scope Source
Connecting Master Elkhorn High School.; NE: Standards, February 6, 1998, Grade 12, 12.4.4
  
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 Scope Source
Calculus/Trigonometry Master Elkhorn High School
  
inverse
The learner will be able to evaluate inverse trig functions.
Strand Scope Source
Trigonometric Concepts Master Elkhorn Public Schools(a)
  
matrices
The learner will be able to add, subtract, and multiply matrices, find the determinant of square matrices, and multiplicative inverses of 2x2 matrices.
Strand Scope Source
Trigonometric Concepts Master Elkhorn Public Schools(a)
  
polunominal
The learner will be able to intro to the derivative of polynomial functions.
Strand Scope Source
Trigonometric Concepts Master Elkhorn Public Schools(a)
  
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