| GRADES | PRE-KINDERGARTEN thru 4
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05.0.1.0.1
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Students will use real-life experiences, physical materials and technology to construct meanings for whole numbers, commonly used fractions and decimals
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05.0.1.0.2
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Students will understand our numeration system by modeling, counting, grouping and using place-value-concepts
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05.0.1.0.3
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Students will use numbers to count, as measures, labels and as indicators of location
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05.0.1.0.4
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Students will use models and pictures to demonstrate understanding of equivalent forms of numbers
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05.0.1.0.5
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Students will understand and use properties of numbers, including odd, even, ordinal and cardinal
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05.0.1.0.6
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Students will develop a sense of magnitude of numbers by ordering and comparing whole numbers, commonly used fractions, decimals and money amounts.
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| GRADES | 5 thru 8
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05.0.1.5.1
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Students will use real-life experiences, physical materials and technology to construct meanings for whole numbers, commonly used fractions, decimals and money amounts, and extend these understandings to construct meanings for integers, rational numbers, percents, exponents, roots, absolute value and scientific notation
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05.0.1.5.2
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Students will model, represent and use numbers in a variety of equivalent forms (integer, fraction, decimal, percent, exponential and scientific notation) as they arise from real-world situations
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05.0.1.5.3
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Students will use the equivalence of fractions, decimals and percents to select appropriate and efficient ways to write, order, compare, estimate and compute
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05.0.1.5.4
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Students will develop and use a sense of order and magnitude of fractions, decimals, integers, powers and roots
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05.0.1.5.5
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Students will develop and apply number theory concepts (primes, factors, multiples and divisibility rules), as appropriate, in various real-world problem situations.
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| GRADES | 9 thru 12
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05.0.1.9.1
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Students will use real-life experiences, physical materials and technology to construct meanings for rational and irrational numbers, including integers, percents and roots
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05.0.1.9.2
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Students will use number sense and the properties of various subsets of real numbers to solve real-world problems
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05.0.1.9.3
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Students will develop and use an intuitive sense of the magnitude of numbers (including very large and very small numbers) and relate them to place value and exponential forms
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05.0.1.9.4
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Students will select an appropriate form to represent and use numerical data (integer, fraction, decimal, ratio, percent, exponential, scientific notation, irrational, complex) as they arise from real-world situations involving magnitude, order, measures, labels, locations and scales.
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05.0.10.0.1
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Students will classify data according to attributes
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05.0.10.0.2
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Students will solve simple counting problems
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05.0.10.0.3
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Students will use diagrams and models of simple networks that represent everyday situations
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05.0.10.0.4
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Students will identify and investigate sequences
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05.0.10.0.5
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Students will follow, devise and describe practical algorithmic procedures.
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05.0.10.5.1
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Students will use systemic listing and counting strategies, including simple combinations and permutations
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05.0.10.5.2
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Students will use recursive processes, including iteration, to explore and solve problems
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05.0.10.5.3
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Students will devise, describe and test algorithms for solving optimization problems.
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05.0.10.9.1
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Students will represent problem situations using finite graphs, matrices, sequences and recurrence relations
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05.0.10.9.2
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Students will develop, analyze, describe, invent and test algorithms
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05.0.10.9.3
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Students will define and use permutations, combinations, mathematical induction and recursion to solve combinatorial and algorithmic problems
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05.0.10.9.4
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Students will understand and use appropriate strategies to solve optimization problems.
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