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Introduction
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Elkhorn Public Schools
Math
Mathematics - Geometry

Algebraic Concepts

Equations: Interpret/Graph
The learner will be able to use coordinate geometry to verify parallel, perpendicular, midpoint and distance relationships.
Strand Scope Source
Equations Reinforce NE: Standards, February 6, 1998, Grade 12, 12.4.4
  
Connecting: Algebra/Geometry
The learner will be able to use algebra equations to solve for missing measurements.
Strand Scope Source
Connecting Master NE: Standards, February 6, 1998, Grade 12, 12.6.2
  
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Geometric Vocabulary: Relationships
The learner will be able to apply geometric relationships to explain the physical world by exploring two and three dimensional space.
Strand Scope Source
Geometric Vocabulary Master NE: Standards, February 6, 1998, Grade 12, 12.4.2
  
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
  
Properties: Investigate/Transformations
The learner will be able to apply transformations to explore geometric properties.
Strand Scope Source
Properties of Figures Master NE: Standards, February 6, 1998, Grade 12, 12.4.3
  
Angles: Properties/Postulates
The learner will be able to find angle measures involving angle addition, linear pair, and adjacant angle relationships.
Strand Scope Source
Angles Master Elkhorn High School NE Standard 12.4.6
  
Angles: Problem Solve/Real World
The learner will be able to classify types angles.
Strand Scope Source
Acute/Right/Obtuse Angles Master Elkhorn High School.; NE: Standards, Feb 6, 1998, Grade 12, 12.4.3
  
Angles: Relationships/Informal Argument
The learner will be able to prove relationships between angles, such as vertical angles, angles formed by parallel lines cut by transversals, supplementary angles, etc.
Strand Scope Source
Lines/Angles/Polygons Master Elkhorn High School.; NE: Standards, Feb 6, 1998, Grade 12, 12.4.7
  
Angles: Measurements
The learner will be able to apply knowledge of angles, angle bisectors, perpendicular bisectors, and congruent angles to solve geometry problems.
Strand Scope Source
Angles Master Elkhorn High School.; NE: Standards, Feb 6, 1998, Grade 12, 12.4.6
  
Angles: Solve Probs w/Parallel Lines
The learner will be able to find angle measures involving vertical angles and angles formed by transversals with parallel lines.
Strand Scope Source
Angles Master Elkhorn High School.; NE: Standards, Feb 6, 1998, Grade 12, 12.4.6
  
Angles/Triangles
The learner will be able to apply the triangle sum property to find the value of the third angle.
Strand Scope Source
Lines/Angles/Polygons Master Elkhorn High School.; NE: Standards, Feb 6, 1998, Grade 12, 12.4.6
  
Congruency/Similarity
The learner will be able to distinguish between congruent and similar, identify correspondence, and use relationships to calculate unknown side lengths.
Strand Scope Source
Congruence/Similarity/Symmetry Master Elkhorn High School.; NE: Standards, Feb 6, 1998, Grade 12, 12.4.3
  
Proportional Reasoning: Indirect Measure
The learner will be able to apply proportional reasoning to find indirect measurements.
Strand Scope Source
Angles Master Elkhorn High School.; NE: Standards, Feb 6, 1998, Grade 12, 12.4.6
  
Congruency Proofs: Triangles
The learner will be able to prove two triangles are congruent when given information in the form of a figure or statement.
Strand Scope Source
Congruence/Similarity/Symmetry Master Elkhorn High School.; NE: Standards, Feb 6, 1998, Grade 12, 12.4.7
  
Pythagorean Theorem: Problem Solving
The learner will be able to solve problems using the Pythagorean Theorem.
Strand Scope Source
Pythagorean Theorem Master Elkhorn High School.; NE: Standards, Feb 6, 1998, Grade 12, 12.4.6
  
Special Triangles
The learner will be able to identify the lengths of the missing sides of a 30-60-90 degree right triangle or a 45-45-90 degree right triangle given the length of one side.
Strand Scope Source
Right Triangles Master Elkhorn High School.; NE: Standards, Feb 6, 1998, Grade 12, 12.4.6
  
Quadrilateral Properties
The learner will be able to identify and use properties of quadrilaterals to solve for missing sides and angles.
Strand Scope Source
Polygons Master Elkhorn High School(a) NE Standard 12.4.3
  
Polygons Relationships
The learner will be able to apply angle relationships between regular and irregular polygons.
Strand Scope Source
Angle Relationships Master Elkhorn High School.; NE: Standards, Feb 6, 1998, Grade 12, 12.4.6
  
Figures: Identify/Describe
The learner will be able to classify two and three-dimensional shapes, figures, and models.
Strand Scope Source
Figures: Two-/Three-Dimensional Master Elkhorn High School.; NE: Standards, Feb 6, 1998, Grade 12, 12.4.3
  
Circles: Problem Solving
The learner will be able to solve problems involving circles using the properties of angles, arcs, chords, tangents, and secants.
Strand Scope Source
Circles Master Elkhorn High School, 12.4.6
  
Perimeter/Area/Volume: Change
The learner will be able to determine how changing dimensions affects perimeter, area, and volume.
Strand Scope Source
Acute/Right/Obtuse Angles Master NE: Standards, February 6, 1998, Grade 12, 12.4.3
  
Area of a Polygon: Formula
The learner will be able to calculate the perimeter and area of a polygon.
Strand Scope Source
Acute/Right/Obtuse Angles Master Elkhorn High School.; NE: Standards, Feb 6, 1998, Grade 12, 12.4.1
  
Circle: Circumference & Area
The learner will be able to solve problems involving circumference and area of circles.
Strand Scope Source
Acute/Right/Obtuse Angles Master Elkhorn High School.; NE: Standards, Feb 6, 1998, Grade 12, 12.4.1
  
Area of an Irregular Figure: Combining
The learner will be able to find the area of an irregular figure.
Strand Scope Source
Acute/Right/Obtuse Angles Master Elkhorn High School.; NE: Standards, Feb 6, 1998, Grade 12, 12.4.1
  
Area/Volume: Apply Concepts
The learner will be able to calculate volume and surface area of three-dimensional figures.
Strand Scope Source
Acute/Right/Obtuse Angles Master Elkhorn High School.; NE: Standards, Feb 6, 1998, Grade 12, 12.4.1
  
Triangles: Apply Trigonometry
The learner will be able to apply trigonometry in finding the unknown sides and/or angles of right triangles.
Strand Scope Source
Geometry Master Elkhorn High School.; NE: Standards, Feb 6, 1998, Grade 12, 12.4.5
  
Triangles: Right/Problem Solving
The learner will be able to find the solution to a real world problem by applying an appropriate right triangle trigonometric model.
Strand Scope Source
Geometry Master Elkhorn High School.; NE: Standards, Feb 6, 1998, Grade 12, 12.4.5
  
Definitions
The learner will be able to use and apply geometric definitions.
Strand Scope Source
Geometry Master Elkhorn Public Schools(a) NE Standard 12.4.3
  
Laws
The learner will be able to apply laws of logic including conditionals, converses, inverses, contrapositives, syllogisms.
Strand Scope Source
Geometry Master Elkhorn Public Schools(a) NE Standard 12.4.7
  
identify
The learner will be able to identify and use algebraic properties of equality.
Strand Scope Source
Geometry Master Elkhorn Public Schools(a) NE Standard 12.4.7
  
isosceles
The learner will be able to apply properties of isosceles and equilateral triangles.
Strand Scope Source
Geometry Master Elkhorn Public Schools(a) NE Standard 12.4.6
  
sides
The learner will be able to classify triangles according to sides and angles.
Strand Scope Source
Geometry Master Elkhorn Public Schools(a) NE Standard 12.4.3
  
segments
The learner will be able to identify, draw and apply characteristics of triangle segments.
Strand Scope Source
Geometry Master Elkhorn Public Schools(a) NE Standard 12.4.3
  
triangles
The learner will be able to apply properties of inequalities in one triangle and in two triangles.
Strand Scope Source
Geometry Master Elkhorn Public Schools(a) NE Standard 12.4.6
  
volume
The learner will be able to calculate volume and surface area of three-dimensional figures.
Strand Scope Source
Geometry Master Elkhorn Public Schools(a)
  
relationships
The learner will be able to apply geometric mean relationships.
Strand Scope Source
Geometry Master Elkhorn Public Schools(a) NE Standard 12.4.6
  
identify
The learner will be able to identify three-dimensional shapes using two-dimenstional net layouts.
Strand Scope Source
Geometry Master Elkhorn Public Schools(a) NE Standard 12.4.2
  
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Angles: Constructions
The learner will be able to draw and measure using protractors and rulers.
Strand Scope Source
Accuracy Master Elkhorn High School.; NE: Standards, Feb 6, 1998, Grade 12, 12.3.1
  
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Computation/Estimation

Expressions: Simplify/Radicals
The learner will be able to simplify expressions applying radicals.
Strand Scope Source
Numeration Master Elkhorn High School.; NE: Standards, Feb 6, 1998, Grade 12, 12.2.1
  
Equations: Solve/Ratio/Proportion
The learner will be able to use ratios and proportions to solve problems.
Strand Scope Source
Computation/Estimation Master Elkhorn High School.; NE: Standards, Feb 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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