Mathematics - Fundamental Math

Mathematics

·	Kindergarten
·	Grade 1
·	Grade 2
·	Grade 3
·	Grade 4
·	Grade 5
·	Grade 6
·	Grade 7
·	Algebra I
·	Algebra A
·	Grade 8
·	Geometry
·	Fundamental Math
·	Algebra II
·	Algebra B
·	AP Calculus
·	Math Analysis
·	Precalculus
·	Practical Math
·	Statistics
·	AP Calculus BC

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Elkhorn Public Schools

Math

Mathematics - Fundamental Math

Goals and Descriptions

Algebraic Concepts

Algebraic Concepts Description

Variable expressions
The learner will be able to identify and use operations to write variable expressions.

Strand	Scope	Source
Absolute Value	Introduce	Elkhorn High School, NE: Standards, February 6, 1998, Grade 12, 12.6.2

Equations: Steps
The learner will be able to demonstrate an understanding of the steps needed to solve a given equation using order of operations, properties of real numbers, combining like terms, and the distribution property.

Strand	Scope	Source
Solve Equations	Master	Elkhorn High School.; NE: Standards, February 6, 1998, Grade 12, 12.6.2

Formulas: Problem Solving
The learner will be able to demonstrate an understanding of using the rules of solving equations to solve problems using a formula.

Strand	Scope	Source
Formulas	Introduce	Elkhorn High School.; NE: Standards, February 6, 1998, Grade 12, 12.6.2

Word problems
The learner will be able to use the order of operations in evaluation and solving word problems given the real number system.

Strand	Scope	Source
Write/Create Story Problems	Introduce	Elkhorn High School(a).; NE: Standards, February 6, 1998, Grade 12, 12.2.1

Distribution Property
The learner will be able to apply the distribution property.

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

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Geometry

Geometry Description

Figures: 2D/3D/Classify
The learner will be able to identify and classify characteristics of two- and three-dimensional figures.

Strand	Scope	Source
Figures: Attributes	Master	NE: Standards, February 6, 1998, Grade 12, 12.4.3

Figures: 2D/3D/Compare
The learner will be able to compare characteristics of two- and three-dimensional figures.

Strand	Scope	Source
Figures: Attributes	Master	NE: Standards, February 6, 1998, Grade 12, 12.4.3

Geometric Vocabulary: Relationships
The learner will be able to discuss geometric vocabulary to explain the physical world (example: perimeter, parallel, area, etc).

Strand	Scope	Source
Geometric Vocabulary	Introduce	NE: Standards, February 6, 1998, Grade 12, 12.4.2

Geometric Relationships: Analyze
The learner will be able to examine relationships among geometric figures.

Strand	Scope	Source
Geometric Relationships	Introduce	NE: Standards, February 6, 1998, Grade 12, 12.4.3

Properties: Understand
The learner will be able to comprehend geometric properties in relation to parallel and perpendicular lines and their resultant angles.

Strand	Scope	Source
Properties of Figures	Introduce	NE: Standards, February 6, 1998, Grade 12, 12.4.3, 12.4.6

Constructions
The learner will be able to use a protractor to measure and draw angles.

Strand	Scope	Source
Angles	Master	Elkhorn High School(a).; NE: Standards, February 6, 1998, Grade 12, 12.3.1

Pythagorean Theorem
The learner will be able to use the Pythagorean theorem to solve calculation and application problems.

Strand	Scope	Source
Problem Solving	Introduce	Elkhorn High School(a).; NE: Standards, February 6, 1998, 12.4.5, 12.4.6

Scale drawings
The learner will be able to write ratios in lowest terms to interpret scale drawings.

Strand	Scope	Source
Angles	Introduce	Elkhorn High School(a).; NE: Standards, February 6, 1998, Grade 12, 12.4.2, 12.3.1

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Measurement

Measurement Description

Perimeter/Area/Volume: Calculate
The learner will be able to compute perimeter, area, and volume of two- and three-dimensional shapes.

Strand	Scope	Source
Perimeter/Area/Volume	Master	NE: Standards, February 6, 1998, Grade 12, 12.4.1

Accuracy: Units/Tools/Technology
The learner will be able to choose and apply appropriate measuring units, instruments, and/or technology to achieve a specific degree of accuracy and precision using standard and metric units.

Strand	Scope	Source
Accuracy	Introduce	NE: Standards, February 6, 1998, Grade 12, 12.3.1

Perimeter/Area/Volume: Change
The learner will be able to describe how changing dimensions affects perimeter, area, and volume.

Strand	Scope	Source
Acute/Right/Obtuse Angles	Introduce	NE: Standards, February 6, 1998, Grade 12, 12.4.3

Identify Conversion Factors
The learner will be able to determine conversion factors from a table or resource book and perform dimensional analysis.

Strand	Scope	Source
Converting	Master	Elkhorn High School(a).; NE: Standards, February 6, 1998, 12.3.2

Conversion: Between Systems
The learner will be able to perform conversions between metric and standard units of measurement.

Strand	Scope	Source
Converting	Master	NE: Standards, February 6, 1998, Grade 12, 12.3.2

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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	Master	NE: Standards, February 6, 1998, Grade 12, 12.1.2

Whole Numbers and Decimals
The learner will be able to compute using whole numbers and decimals using laws of exponents, order of operations, properties of operations, and the distributive property.

Strand	Scope	Source
Number Theory	Reinforce	Elkhorn High School(a).; NE: Standards, February 6, 1998, Grade 12, 12.1.2

Operations with Fractions
The learner will be able to apply addition, subtraction, multiplication, and division rules to fractions and be able to convert to decimal form.

Strand	Scope	Source
Factors	Master	Elkhorn High School(a).;NE: Standards, February 6, 1998, Grade 12, 12.1.2

Exploring Integers
The learner will be able to demonstrate an ability to add, subtract, multiply, divide and order integers.

Strand	Scope	Source
Number Theory	Master	Elkhorn High School(a).; NE: Standards, February 6, 1998, Grade 12, 12.1.2, 12.2.1

Rounding
The learner will be able to round values to determine the reasonableness of answers.

Strand	Scope	Source
Read Numbers	Reinforce	Elkhorn High School(a).; NE: Standards, February 6, 1998, Grade 12, 12.2.2

Exponential and Scientific Notation
The learner will be able to express and simplify numbers in exponential form and scientific notation.

Strand	Scope	Source
Cardinal Numbers	Master	Elkhorn High School(a).; NE: Standards, February 6, 1998, Grade 12, 12.1.2

Prime Factor
The learner will be able to show prime factorization of integers.

Strand	Scope	Source
Factors	Master	Elkhorn High School(a).; NE: Standards, February 6, 1998, Grade 12, 12.1.2

Factor
The learner will be able to find the greatest common factor of two numbers.

Strand	Scope	Source
Factors	Master	Elkhorn High School(a).;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 mentally, with paper and pencil, and with technology.

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.

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

Direct/Indirect Variation
The learner will be able to compute ratios and proportions.

Strand	Scope	Source
Variations	Introduce	Elkhorn High School(a).;NE: Standards, February 6, 1998, Grade 12, 12.6.4, 12.2.1

Direct/Inverse Variation: Application
The learner will be able to use direct and inverse variations in ratio and proportion applications.

Strand	Scope	Source
Numeration/Number Sense	Introduce	NE: Standards, February 6, 1998, Grade 12, 12.6.4, 12.2.1

Percents
The learner will be able to find the percent of a number and use in computation and application problems.

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

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Probability/Statistics

Probability/Statistics Description

Sampling: Gather Information
The learner will be able to apply sampling techniques to gather data (random, cluster, convenience, systematic).

Strand	Scope	Source
Sampling	Introduce	NE: Standards, February 6, 1998, Grade 12, 12.5.1.;

Data analysis and graphs
The learner will be able to construct and interpret stem-and-leaf plots, pictographs, bar graphs, and line graphs.

Strand	Scope	Source
Data Analysis	Master	Elkhorn High School(a).; NE: Standards, February 6, 1998, Grade 12, 12.5.1

Mean/Median/Mode
The learner will be able to determine the mean, median, and mode for a given set of numbers, and demonstrate the ability to use each measure appropriately.

Strand	Scope	Source
Average/Median/Mode/Range	Master	Elkhorn High School.; NE: Standards, February 6, 1998, Grade 12, 12.5.4

Probability Concepts: Explore/Experiment
The learner will be able to discover basic probability concepts through simple experiments.

Strand	Scope	Source
Probability Concepts	Introduce	Elkhorn High School.; NE: Standards, February 6, 1998, Grade 12, 12.5.6

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

Strand	Scope	Source
Data Analysis, Probability, Statistical	Introduce	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.

Strand	Scope	Source
Algebraic Concepts	Introduce	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	Introduce	NE: Standards, February 6, 1998, Grade 12, 12.2.2

Technology
The learner will be able to use the calculator as a tool in reaching course objectives.

Strand	Scope	Source
Strategies	Master	Elkhorn High School(a).; NE: Standards, February 6, 1998, Grade 12, 12.2.3

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Real Numbers and the Coordinate Plane

Real Numbers and the Coordinate Plane Description

Real Numbers: Relationships/Subsets
The learner will be able to explain the relationships among all subsets of real numbers.

Strand	Scope	Source
Real Numbers	Introduce	NE: Standards, February 6, 1998, Grade 12, 12.1.1

Real Numbers: Relationships/Subsets
The learner will be able to compare the relationships between all subsets of real numbers.

Strand	Scope	Source
Real Numbers	Introduce	NE: Standards, February 6, 1998, Grade 12, 12.1.1

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