Virginia SOL 6.PFA.1.f
The Standard
Create a table of equivalent ratios to represent a proportional relationship between two quantities, when given a contextual situation.
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 identify the two related quantities in a situation and organize them in labeled columns. They multiply both quantities by the same factor to create additional matching pairs.
What Mastery Looks Like
- Students label both columns with the correct quantities and units. They generate accurate pairs by scaling both quantities equally and can explain the multiplier used for each row.
Common Misconceptions
- Students may add the same amount to both columns instead of multiplying both quantities by the same factor. They may switch column labels, scale only one quantity, or treat each row as unrelated.
How to Assess It
- Give this exit ticket: “A recipe uses 2 cups of rice for 5 servings. Make a labeled table for 5, 10, 15, and 20 servings.”
Lesson moves
Ways to Teach It
Use red and blue cubes to build copies of a 2-to-3 group, then record each combined group in a labeled table.
Ask students to explain why adding 2 to one column and 3 to the other produces equivalent ratio pairs.
Give pairs of context cards and ratio tables, then have teams match them and correct one table containing an error.
Use a grocery price, such as three cans for $6, and build a table showing costs for several numbers of cans.
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Printable 6.PFA.1.f Worksheet
A ready-to-print activity worksheet aligned to 6.PFA.1.f, 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.
- 6.PFA.1.e
Create a table of equivalent ratios to represent a proportional relationship between two quantities, when given a ratio.
- 7.CE.2.a
Given a proportional relationship between two quantities, create and use a ratio table to determine missing 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.
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