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Quantity Relationships
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NQ1– express repeated multiplication using exponential notation
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NQ2– represent whole numbers in expanded form using powers of ten
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NQ3– represent, compare, and order rational numbers
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NQ4– translate between equivalent forms of a number
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NQ5– determine common factors and common multiples using the prime factorization of numbers
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Operational Sense
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NO1– solve multi-step problems arising from real-life contexts and involving whole numbers and decimals, using a variety of tools and strategies
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NO2– solve problems involving percents expressed to one decimal place and whole-number percents greater than 100
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NO3– use estimation when solving problems involving operations with whole numbers, decimals, percents, integers, and fractions, to help judge the reasonableness of a solution;
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NO4– represent the multiplication and division of fractions, using a variety of tools and strategies
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NO5– solve problems involving addition, subtraction, multiplication, and division with simple fractions;
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NO6– represent the multiplication and division of integers, using a variety of tools
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NO7– solve problems involving operations with integers, using a variety of tools
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NO8– evaluate expressions that involve integers, including expressions that contain brackets and exponents, using order of operations;
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NO9– multiply and divide decimal numbers by various powers of ten
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NO10– estimate, and verify using a calculator, the positive square roots of whole numbers, and distinguish between whole numbers that have whole-number square roots and those that do not
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Proportional Relationships
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NP1– identify and describe real-life situations involving two quantities that are directly proportional
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NP2– solve problems involving proportions, using concrete materials, drawings, and variables
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NP3– solve problems involving percent that arise from real-life contexts
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NP4– solve problems involving rates
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