Virginia SOL 6.PFA.2.a
The Standard
Identify the unit rate of a proportional relationship represented by a table of values, a contextual situation, or a graph.
Virginia Standards of Learning for Mathematics · The student will identify and represent proportional relationships between two quantities, including those in context (unit rates are limited to positive values).
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students find how much of one quantity corresponds to one unit of another quantity. They divide paired values, use points on a graph, and explain the rate with correct units.
What Mastery Looks Like
- A student calculates the same y divided by x value from every pair in a proportional table. On a graph, the student finds the y-value when x equals 1 or uses another point to calculate the rate. The student labels the rate with correct units.
Common Misconceptions
- Students may divide in the wrong order and report units per dollar instead of dollars per unit. They may use the change in y without considering the change in x, or treat any y-value on a graph as the unit rate.
How to Assess It
- Exit ticket: A cost graph passes through (0, 0), (2, 7), and (5, 17.5). Find the unit rate, include units, and calculate the cost of 8 pounds.
Lesson moves
Ways to Teach It
Students weigh groups of 5, 10, and 15 identical cubes, record total grams, then calculate and graph grams per cube.
Display the pairs (2, 6), (4, 12), and (7, 21), then ask how students can prove the unit rate is 3.
Students match cards showing tables, graphs, situations, and unit rates, then explain one match to a partner.
Bring grocery price labels and have students calculate dollars per ounce to decide which package costs less per ounce.
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Printable 6.PFA.2.a Worksheet
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Related Standards
- 6.PFA.2.c
Determine whether a proportional relationship exists between two quantities, when given a table of values, context, or graph.
- 6.PFA.2
The student will identify and represent proportional relationships between two quantities, including those in context (unit rates are limited to positive values...
- 6.PFA.2.d
When given a contextual situation representing a proportional relationship, find the unit rate and create a table of values or a graph.
- 6.PFA.2.b
Determine a missing value in a ratio table that represents a proportional relationship between two quantities using a unit rate.
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