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| *4.N.2 - Represent, order, and compare large numbers (to at least 100,000) using various forms, including expanded notation, e.g., 853 = 8 x 100 + 5 x 10 + 3. | | *4.N.2 - Represent, order, and compare large numbers (to at least 100,000) using various forms, including expanded notation, e.g., 853 = 8 x 100 + 5 x 10 + 3. |
| *4.N.8 - Select, use, and explain various meanings and models of multiplication and division of whole numbers. Understand and use the inverse relationship between the two operations. | | *4.N.8 - Select, use, and explain various meanings and models of multiplication and division of whole numbers. Understand and use the inverse relationship between the two operations. |
− | *4.N.9 - Select, use, and explain the commutative, associative, and identity properties of operations on whole numbers in problem situations, e.g., 37 x 46 = 46 x 37, (5 x 7) x 2 = 5 x (7 x 2).
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| *4.N.11 - Know multiplication facts through 12 x 12 and related division facts. Use these facts to solve related multiplication problems and compute related problems, e.g., 3 x 5 is related to 30 x 50, 300 x 5, and 30 x 500. | | *4.N.11 - Know multiplication facts through 12 x 12 and related division facts. Use these facts to solve related multiplication problems and compute related problems, e.g., 3 x 5 is related to 30 x 50, 300 x 5, and 30 x 500. |
| *4.N.12 - Add and subtract (up to five-digit numbers) and multiply (up to three digits by two digits) accurately and efficiently. | | *4.N.12 - Add and subtract (up to five-digit numbers) and multiply (up to three digits by two digits) accurately and efficiently. |
| + | *4.N.13 - Divide up to a three-digit whole number with a single-digit divisor (with or without remainders) accurately and efficiently. Interpret any remainders |
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| [http://www.doe.mass.edu/frameworks/math/2000/final.pdf Link to Mass. Department of Education] | | [http://www.doe.mass.edu/frameworks/math/2000/final.pdf Link to Mass. Department of Education] |