Virginia SOL 6.PFA.1

6.PFA.1 is a Standards of Learning standard. These are the knowledge and skills expectations under it.

• 6.PFA.1.a

  Represent a relationship between two quantities using ratios.

• 6.PFA.1.b

  Represent a relationship in context that makes a comparison by using the notations 𝑎 𝑏 , a:b, and a to b.

• 6.PFA.1.c

  Represent different comparisons within the same quantity or between different quantities (e.g., part to part, part to whole, whole to whole).

• 6.PFA.1.d

  Create a relationship in words for a given ratio expressed symbolically.

• 6.PFA.1.e

  Create a table of equivalent ratios to represent a proportional relationship between two quantities, when given a ratio.

• 6.PFA.1.f

  Create a table of equivalent ratios to represent a proportional relationship between two quantities, when given a contextual situation.

01

What Students Need to Do

Students compare two quantities and write each ratio as a fraction, with a colon, and in words. They describe part-to-part, part-to-whole, and whole-to-whole comparisons. They create tables by multiplying both quantities by the same factor.

02

What Mastery Looks Like

Students write the same comparison as a fraction, with a colon, and in words. They label the quantities in the correct order and identify part-to-part, part-to-whole, or whole-to-whole comparisons. They build accurate equivalent-ratio tables from numbers or a situation.

03

Common Misconceptions

Students often reverse the order of a ratio or confuse part-to-part with part-to-whole. They may add the same number to both quantities instead of multiplying both by the same factor. Some treat the fraction, colon, and word forms as different values.

04

How to Assess It

Exit ticket: A bag has 6 red and 9 blue tiles. Write blue to red in three forms, write red to total, then complete two equivalent rows in a ratio table.

1. 01

   Give groups colored counters, then have students build, label, and record part-to-part and part-to-whole ratios in three forms.

2. 02

   Ask students to explain how 3 cats to 5 dogs differs from 3 cats to 8 animals.

3. 03

   Play Ratio Table Relay, where teams complete missing table values and name the multiplication factor used in each row.

4. 04

   Use a drink mix recipe to compare scoops of powder with cups of water and scale the recipe for several batch sizes.

• 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...

• 7.CE.2

  The student will solve problems, including those in context, involving proportional relationships.

• 7.PFA.1

  The student will investigate and analyze proportional relationships between two quantities using verbal descriptions, tables, equations in y = mx form, and grap...