Virginia SOL 6.PFA.1.e
The Standard
Create a table of equivalent ratios to represent a proportional relationship between two quantities, when given a ratio.
Virginia Standards of Learning for Mathematics · The student will use ratios to represent relationships between quantities, including those in context.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students build a two-column table from a given ratio. They generate equivalent pairs by multiplying or dividing both quantities by the same nonzero number.
What Mastery Looks Like
- Given a ratio such as 3 to 5, a student can produce pairs such as 6 to 10, 9 to 15, and 12 to 20. The student keeps the quantities in the correct columns and explains the shared scale factor.
Common Misconceptions
- Students may add the same number to both quantities instead of multiplying both by the same factor. They may change only one quantity, reverse the column order, or treat any increasing pair as equivalent.
How to Assess It
- Exit ticket: A paint mix uses 2 cups of blue paint for every 3 cups of white paint. Create a four-row table of equivalent amounts and label both columns.
Lesson moves
Ways to Teach It
Give pairs colored cubes in a 2:3 ratio; students build four scaled groups and record each pair in a table.
Students test adding 2 to both parts of 2:5, then explain why 4:7 is not equivalent.
Play Ratio Table Relay: teams draw a ratio card, complete four equivalent rows, and earn a point after another team verifies them.
Use a sports drink recipe of 1 scoop per 3 cups, then table amounts for 2, 4, and 6 scoops.
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Printable 6.PFA.1.e Worksheet
A ready-to-print activity worksheet aligned to 6.PFA.1.e, with an answer key for the teacher on its own page. No account needed.
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Related Standards
- 6.PFA.1.a
Represent a relationship between two quantities using ratios.
- 7.CE.2.a
Given a proportional relationship between two quantities, create and use a ratio table to determine missing values.
- 6.PFA.2.b
Determine a missing value in a ratio table that represents a proportional relationship between two quantities using a unit rate.
- 6.PFA.1.f
Create a table of equivalent ratios to represent a proportional relationship between two quantities, when given a contextual situation.
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