Aligned Standard

M.EE.6.NS.1: Compare the relationships between two unit fractions.

Grade Level Standard

This is aligned with the following California State Standards:

  • 6.NS.1 - Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem. For example, create a story context for (2/3) (3/4) and use a visual fraction model to show the quotient; use the relationship between multiplication and division to explain that (2/3) (3/4) = 8/9 because 3/4 of 8/9 is 2/3. (In general, (a/b) (c/d) = ad/bc.) How much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 3/4-cup servings are in 2/3 of a cup of yogurt? How wide is a rectangular strip of land with length 3/4 mi and area 1/2 square mi?

Linkage Level Descriptions

Initial Precursor

Communicate understanding of a unit by recognizing a group of countable objects. Communicate understanding of wholeness by recognizing an object that has all the parts joined together. Recognize parts of an object and the whole object.

Distal Precursor

Recognize two glasses with an equal amount of liquid. Divide familiar shapes, such as circles, squares, and/or rectangles, into two or more equal parts.

Proximal Precursor

Recognize a fraction as a number expressed as a quotient of two integers in the form a/b, with b not equal to zero. Demonstrate understanding of a unit fraction (e.g., 1/4) as the quantity formed by one part when a whole is partitioned into n (e.g., 4) equal parts. Recognize the number above the fraction bar as the numerator and the number below the fraction bar as the denominator.

Target

Communicate understanding that when a whole is divided into more parts, each part is smaller than when that same whole is divided into fewer parts (e.g., 1/5 is smaller than 1/2 because in 1/5 the whole is divided into five equal parts and in 1/2 the same whole is divided into two equal parts).

Successor

Communicate understanding that the numerator represents a number of equal parts and the denominator represents how many equal parts make up the whole. Compare fractions (i.e., which fraction is greater than and which is less than) using manipulatives. Add fractions with common denominators (e.g., 2/5 + 1/5 = 3/5), and decompose fractions into sums of unit fractions with the same denominator (e.g., 3/7 = 1/7 + 1/7 + 1/7).