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Elkhorn Public Schools |
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Math |
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Mathematics - Precalculus |
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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 |
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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 |
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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 |
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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 |
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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 |
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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
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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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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Functions: Discontinuity Types
The learner will be able to
analyze functions to determine types of discontinuities.
| Strand |
Scope |
Source |
| Functions |
Master |
Elkhorn High School |
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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 |
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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 |
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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 |
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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 |
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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: 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 |
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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
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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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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inverse
The learner will be able to
evaluate inverse trig functions.
| Strand |
Scope |
Source |
| Trigonometric Concepts |
Master |
Elkhorn Public Schools(a) |
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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) |
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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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