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© 2006 by Elkhorn Public Schools and Scantron Corporation.
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Elkhorn Public Schools
Math
Mathematics - Math Analysis

Algebraic Concepts

Solve Equations and Inequalities
The learner will be able to solve linear equations and inequalities.
Strand Scope Source
Equations Reinforce Elkhorn High School.; NE: Standards, Feb 6, 1998, Grade 12, 12.6.2
  
Quadratic Equations: Solving
The learner will be able to solve quadratic equations using factoring, square roots, and quadratic formula.
Strand Scope Source
Quadratic Equations/Formula Reinforce NE: Standards, February 6, 1998, Grade 12, 12.6.2
  
Graphing: Quadratic/Interpret
The learner will be able to interpret a quadratic graph as a representation of a problem situation and determine maximum and minimum values.
Strand Scope Source
Quadratic Equations/Formula Master Elkhorn High School NE Standard 12.6.1
  
Logarithms: Law of Logarithms
The learner will be able to use the laws of logarithms in solving problems.
Strand Scope Source
Logarithms Master Elkhorn High School NE Standard 12.6.2
  
Exponential & Logarithmic Equations
The learner will be able to solve exponential and logarithmic equations.
Strand Scope Source
Logarithms Master Elkhorn High School NE Standard 12.6.2
  
Factorials
The learner will be able to determine values for factorials and solve factorial equations with variables.
Strand Scope Source
Factorials Master Elkhorn High School NE Standard 12.6.4
  
Functions/Relations Domain & Range
The learner will be able to identify the domain and range of a function or relation given a formula and/or a graph.
Strand Scope Source
Algebraic Concepts Master Elkhorn High School NE Standard 12.6.4
  
Functions: Recognize
The learner will be able to recognize graphs of families of functions and their transformations.
Strand Scope Source
Absolute Value Master NE: Standards, February 6, 1998, Grade 12, 12.6.4
  
Functions: Regression/Apply/Solve
The learner will be able to determine and apply regressional analysis and lines of best fit with and without graphing calculators.
Strand Scope Source
Algebraic Concepts Master NE: Standards, February 6, 1998, Grade 12, 12.6.4
  
Exponential Growth/Decay: Recognize
The learner will be able to recognize and identify patterns of exponential growth and decay and solve related real world problems.
Strand Scope Source
Algebraic Concepts Master NE: Standards, February 6, 1998, Grade 12, 12.6.4
  
Step Functions
The learner will be able to model and interpret step functions and piecewise functions.
Strand Scope Source
Algebraic Concepts Master Elkhorn High School NE Standard 12.6.1
  
Compositions: Two Functions
The learner will be able to determine the composition of functions.
Strand Scope Source
Algebraic Concepts Master Elkhorn High School NE Standard 12.6.4
  
Inverses: Finding and Graphing
The learner will be able to find and graph inverse of a function.
Strand Scope Source
Algebraic Concepts Master Elkhorn High School NE Standard 12.6.4
  
Equivalent Forms: Exponent/Logarithm
The learner will be able to convert equations between exponential and logarithmic form.
Strand Scope Source
Algebraic Concepts Master Elkhorn High School NE Standard 12.6.4
  
Exponential/Logarithmic Functions: Graph
The learner will be able to graph exponential functions with and without graphing calculator.
Strand Scope Source
Algebraic Concepts Master Elkhorn High School NE Standard 12.6.1
  
Solve Logarithmic Problems
The learner will be able to solve real world problems involving logarithmic functions.
Strand Scope Source
Algebraic Concepts Master Elkhorn High School NE Standard 12.6.2
  
zeroes
The learner will be able to find zeroes of polynomial functions with and without graphing calculators.
Strand Scope Source
Algebraic Concepts Master Elkhorn Public Schools(a) NE Standard 12.6.2
  
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Calculus and Pre-Calculus

Arithmetic & Geometric Sequences
The learner will be able to find the nth term of an arithmetic or geometric sequence.
Strand Scope Source
Algebraic Concepts Master Elkhorn High School
  
Arithmetic Series
The learner will be able to find the sum of an arithmetic sequence and use summation notation.
Strand Scope Source
Algebraic Concepts Master Elkhorn High School
  
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Numeration/Number Sense

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
  
Direct/Inverse Variation: Application
The learner will be able to use direct and inverse variations.
Strand Scope Source
Numeration/Number Sense Master NE: Standards, February 6, 1998, Grade 12, 12.6.4
  
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Data Analysis, Probability, Statistical

Data Management: Displays
The learner will be able to organize and use displays to interpret data (including box and whiskers displays of statistical breaks).
Strand Scope Source
Data Analysis, Probability, Statistical Master NE: Standards, February 6, 1998, Grade 12, 12.5.1
  
Data Analysis/Central Tendency
The learner will be able to determine measures of central tendency and variability.
Strand Scope Source
Data Analysis, Probability, Statistical Master NE: Standards, February 6, 1998, Grade 12, 12.5.4
  
Probability: Counting Problems
The learner will be able to compute probabilities of counting problems.
Strand Scope Source
Data Analysis, Probability, Statistical Master NE: Standards, February 6, 1998, Grade 12, 12.5.6
  
Independent & Dependent Events
The learner will be able to find the probability of independent and dependent events.
Strand Scope Source
Data Analysis, Probability, Statistical Master NE: Standards, February 6, 1998, Grade 12, 12.5.6
  
Theoretical Probability: Decisions
The learner will be able to formulate informal decisions and predictions by interpreting theoretical probability.
Strand Scope Source
Data Analysis, Probability, Statistical Master NE: Standards, February 6, 1998, Grade 12, 12.5.3
  
Probability Distribution: Normal Curve
The learner will be able to draw conclusions from the interpretation of data illustrated by the normal curve.
Strand Scope Source
Data Analysis, Probability, Statistical Master NE: Standards, February 6, 1998, Grade 12, 12.5.5
  
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Geometry

Triangles: Right
The learner will be able to solve for missing parts of a triangle using right triangle trigonometry.
Strand Scope Source
Geometry Reinforce NE: Standards, February 6, 1998, Grade 12, 12.4.5
  
Triangles: Special Trig Ratios
The learner will be able to know and apply the 30-60-90 and the 45-45-90 special ratios.
Strand Scope Source
Geometry Reinforce Elkhorn High School NE Standard 12.4.3
  
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Calculus/Trigonometry

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
  
Triangle: Area/Trigonometric Properties
The learner will be able to solve for the area of a triangle using trigonometric properties.
Strand Scope Source
Calculus/Trigonometry Master Elkhorn High School
  
Triangles: Problem Solving
The learner will be able to solve real-world triangle problems using trigonometric concepts (right triangle trig, Law of Sines or Cosines, area).
Strand Scope Source
Calculus/Trigonometry Master Elkhorn High School
  
Conversion of Angle Measure
The learner will be able to convert between degrees, radians, and revolutions.
Strand Scope Source
Calculus/Trigonometry Master Elkhorn High School
  
Trig. Ratios: Sine/Cosine/Tangent
The learner will be able to find the sine, cosine, and tangent given circular angle degrees and/or radians.
Strand Scope Source
Calculus/Trigonometry Master Elkhorn High School
  
Properties of Trigonometry Graphs
The learner will be able to identify the amplitude, period, frequency, and phase shift of a given trigonometric equation and its graph.
Strand Scope Source
Calculus/Trigonometry Master Elkhorn High School
  
Periodic Phenomena: Apply Trigonometry
The learner will be able to apply circlular trigonometry in problems involving periodic phenomena.
Strand Scope Source
Calculus/Trigonometry Introduce Elkhorn High School
  
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