Standard Algorithm for Division - Grades 3-5

Goals and Standards

Colorado Academic Standards:

• 6th Grade: Fluently divide multi-digit numbers using the standard algorithm. (CCSS: 6.NS.B.2)
• 5th Grade: Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. (CCSS: 5.NBT.B.6)
• 4th Grade: Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. (CCSS: 4.NBT.B.6)
• 3rd Grade: Interpret whole-number quotients of whole numbers, e.g., interpret 56÷8 as the number of objects in each share when 56 objects are partitioned equally into 8 shares, or as a number of shares when 56 objects are partitioned into equal shares of 8 objects each. For example, describe a context in which a number of shares or a number of groups can be expressed as 56÷8. (CCSS: 3.OA.A.2)

Mathematical Practice Standards:

• MP2 Reason abstractly and quantitatively.
• MP8 Look for and express regularity in repeated reasoning.

Learning Goal:

• Students will develop conceptual understanding of division as the partitioning of quantities into equal groups
• Students will build understanding of conservation of quantity in division - recognizing that the sum of divided parts equals the original whole
• Students will master the relationship between divisor, dividend, and quotient in the standard division algorithm with multi-digit numbers
• Students will deepen their grasp of how place value underlies each step of the division