Aligned Standard

M.EE.7.RP.1-3: Use a ratio to model or describe a relationship.

Grade Level Standard

This is aligned with the following California State Standards:

  • 7.RP.1 - Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction / miles per hour, equivalently 2 miles per hour.
  • 7.RP.3 - Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error.

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

Divide familiar shapes, such as circles, squares, and/or rectangles, into two or more equal parts. 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 a fraction as a number expressed as a quotient of two integers in the form a/b, with b not equal to zero.

Proximal Precursor

Communicate understanding that a ratio (e.g., 5:1) represents the relationship between two quantities (i.e., 5 of object a for every 1 object b). When shown two groups of objects, one group with one object and another group with multiple objects (e.g., 4), recognize that there are four times as many objects in the second group as in the first group.

Target

When shown two groups of multiple objects (e.g., one group with two objects and another group with three objects), recognize that for every two objects in the first group there are three objects in the second group. When shown two groups of multiple objects, represent a many-to-many ratio of the parts as 2:3.

Successor

Communicate understanding that rates (i.e., a/b) can be expressed as ratios (i.e., a:b). For example, instructions for a craft that uses 2/3 piece of paper for each drawing can be expressed in the ratio of pieces of paper to number of drawings as 2:3.