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Principles and Standards for School Mathematics
Number and Operations Standard
Number and Operations Standard (pre-K - 2)
understand various meanings of addition and subtraction of whole numbers and the relationship between the two operations;
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ORC Resources
understand the effects of adding and subtracting whole numbers;
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ORC Resources
understand situations that entail multiplication and division, such as equal groupings of objects and sharing equally.
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ORC Resources
Number and Operations Standard (3 - 5)
understand various meanings of multiplication and division;
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ORC Resources
understand the effects of multiplying and dividing whole numbers;
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identify and use relationships between operations, such as division as the inverse of multiplication, to solve problems;
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ORC Resources
understand and use properties of operations, such as the distributivity of multiplication over addition.
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ORC Resources
Number and Operations Standard (6 - 8)
understand the meaning and effects of arithmetic operations with fractions, decimals, and integers;
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ORC Resources
use the associative and commutative properties of addition and multiplication and the distributive property of multiplication over addition to simplify computations with integers, fractions, and decimals;
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ORC Resources
understand and use the inverse relationships of addition and subtraction, multiplication and division, and squaring and finding square roots to simplify computations and solve problems.
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ORC Resources
Number and Operations Standard (9 - 12)
judge the effects of such operations as multiplication, division, and computing powers and roots on the magnitudes of quantities;
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ORC Resources
develop an understanding of properties of, and representations for, the addition and multiplication of vectors and matrices;
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ORC Resources
develop an understanding of permutations and combinations as counting techniques.
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