Aligned Standard

M.EE.5.NBT.6-7: Illustrate the concept of division using fair and equal shares.

Grade Level Standard

This is aligned with the following California State Standards:

  • 5.NBT.6 - 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.
  • 5.NBT.7 - Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.

Linkage Level Descriptions

Initial Precursor

Communicate understanding of separateness by recognizing objects that are not joined together. Communicate understanding of set by recognizing a group of objects sharing an attribute. Communicate understanding of a subset by recognizing a subset as a set or group of objects within a larger set that share an attribute.

Distal Precursor

Recognize two sets that contain the same number of objects, and name those sets as equal sets. Communicate understanding that same amount means equal. Create a set that contains the same number of objects as the given set.

Proximal Precursor

Divide a set containing 10 or fewer objects into equal subsets (e.g., divide a set consisting of 10 counters into two subsets with 5 counters each).

Target

Divide a set containing 10 or fewer objects into equal subsets (e.g., divide a set consisting of 10 counters into two subsets with 5 counters each).

Successor

Communicate understanding of division as total number of objects (i.e., dividend) divided by number of groups (i.e., divisor) equals number of objects in each group (i.e., quotient) (e.g., 20/5 = 4). Understand that division is similar to repeated subtraction, where a single number (i.e., divisor) is subtracted repeatedly from a given number (i.e., dividend) and the quotient equals the number of times the number is subtracted (e.g., 20/5 = 20 - 5 - 5 - 5 - 5 = 0; thus, the quotient = 4).