Elementary Mathematics Content I addresses number, numerations systems, and fundamental
concepts of algebra, with emphasis on conjecture and justification.
Standard 6: Number
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6A1.
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Understands number sense, including concepts of order, magnitude, mental math, estimation,
place value, and senses the reasonableness of results.
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6B1.
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Understands composition, decomposition, and recomposition of numbers including
place value of any base, factors and multiples, prime and composite numbers, inverses,
and the application of these concepts.
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6C1.
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Uses number sense to judge reasonableness of results.
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6D1.
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Chooses appropriately from mental math, paper and pencil, manipulative, and technology
to perform computations.
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6A2.
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Understands decimals, fractions, ratios, proportions, and percents as ways to represent
numbers and relationships.
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6C2.
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Applies proportional reasoning to solve problems.
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6A3.
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Knows the properties of prime and composite numbers.
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6C3.
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Uses the properties of prime and composite numbers to determine greatest common
factors and least common multiples to solve problems.
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6C4.
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Performs operations in any base and converts between bases.
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Standard 8: Algebra
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8A1.
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Understands the order of operations.
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8E1.
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Applies the order of operations to numerical and algebraic expressions.
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8A2.
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Understands the concept of variables.
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8E2.
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Identifies, completes, and extends patterns and sequences.
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8A3.
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Understands symbolic, numeric, and graphical representations of mathematical situations.
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8E3.
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Represents mathematical situations symbolically, numerically, and graphically.
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8A4.
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Understands the properties and operations of real number including exponents, in an
algebraic context.
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8E4.
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Applies properties and operations of real numbers in an algebraic context.
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8D1.
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Understands the properties of the real number systems.
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8D2.
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Understands the properties of sets and Venn diagrams.
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8D3.
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Understands the properties of complex and modular systems and their applications.
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Standard 9: Geometry
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9C1.
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Understands inductive and deductive reasoning.
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9C2.
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Understands the appropriate uses of different types of proof.
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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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