Elementary Mathematics Content II focuses on measurement and geometry with emphasis
on conjecture, justification and proof.
Standard 7: Measurement
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7A1.
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Knows how to measure length, area, volume, capacity, time, temperature, angles,
weight and mass.
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7B1.
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Uses customary, metric, and non-standard measures.
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7B2.
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Selects and uses appropriate tools to perform above measurements.
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7A2.
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Has knowledge of non-standard and emerging units such as graphic screen pixels and
font size.
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7A4.
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Understands how changing one measure of a multi-dimensional object may affect other
measures.
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7C5.
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Explains how changing one measure of a multi-dimensional object impacts other measurements.
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7A5.
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Understands conversion factors as they apply to dimensional analysis.
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7B3.
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Estimates measurement.
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7B4.
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Determines acceptable measures of accuracy and calculates relative error.
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7C1.
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Measures objects using both direct and indirect measurement.
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7C2.
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Uses formulas to aid in indirect measurement.
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7C3.
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Applies measurements and formulas to irregular shapes, regions, and solids.
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7C4.
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Reads and interprets scale drawings.
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7C6.
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Reads and interprets topographical maps and architectural drawings.
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Standard 8: Algebra
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8C2.
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Understands concepts of distance, area, volume, and shapes that lead to limits.
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Standard 9: Geometry
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9A.
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Understands terminology, properties of two- and three-dimensional shapes, and the
relationships among them.
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9E1.
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Translates between two- and three-dimensional representations of the same figure including
the use of coordinate geometry and graph theory.
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9C1.
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Understands inductive and deductive reasoning.
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9F2.
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Constructs inductive, deductive, and indirect arguments and explains the difference
among them.
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9F1.
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Makes and identifies mathematical conjectures and provides justification to support or
refute conjectures using
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(a)
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manipulatives
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(b)
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constructions
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(c)
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algebraic, coordinate, and transformational methods
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(d)
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interactive technology
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(e)
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paragraph and two-column proofs
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9C2.
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Understands the appropriate uses of different types of proof.
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9D1.
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Recognizes relationships and patterns in geometric figures.
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9D2.
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Uses characteristics of geometric figures including symmetry, congruence, and similarity
to recognize, identify, build, draw, describe, analyze, and categorize two- and three-dimensional
figures and tessellation.
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9D3.
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Applies geometric concepts to solve practical applications.
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9E2.
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Uses manipulative, Euclidean geometry, coordinate geometry, transformational geometry,
and appropriate technology to model mathematical concepts and solve problems.
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9D4.
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Explains the relationships between perimeter, area, and volume of similar figures.
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9E3.
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Generates solids of revolution from two-dimensional figures.
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(a)
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manipulatives
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(b)
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constructions
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(c)
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interactive technology
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(d)
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paragraph and two-column proofs.
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