Changes

(As per standards of the Massachusetts Department of Education)

(As per standards of the Massachusetts Department of Education)

*4.N.2 - 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 - 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 - 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).  

*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).  

*4.N.11 - 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.