Virginia SOL 6.PFA.1.b
The Standard
Represent a relationship in context that makes a comparison by using the notations π π , a:b, and a to b.
Virginia Standards of Learning for Mathematics Β· 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 compare two named quantities and decide which quantity comes first. They write the comparison with a fraction bar, a colon, and the word βtoβ while keeping the same order.
What Mastery Looks Like
- A student identifies which quantity comes first and keeps that order in every form. For 8 red tiles and 12 blue tiles, the student writes 8/12, 8:12, and 8 to 12.
Common Misconceptions
- Students often reverse the order of the quantities or switch the order when changing notation. They may compare one part with the total instead of the other named part.
How to Assess It
- Exit ticket: βA box has 9 blue pens and 4 black pens. Write the ratio of blue pens to black pens in three forms.β
Lesson moves
Ways to Teach It
Give pairs counters in two colors, then have them build a set and record the color comparison in all three forms.
Ask, βHow does changing the order of a ratio change its meaning?β Students explain using a red-tile and blue-tile example.
Play ratio match with cards showing a context, a fraction form, a colon form, and a word form.
Use a classroom supply count, such as pencils to markers, and have students write and label the ratio three ways.
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Related Standards
- 6.PFA.1.a
Represent a relationship between two quantities using ratios.
- 6.PFA.1.d
Create a relationship in words for a given ratio expressed symbolically.
- 2.CE.1.i
Describe the not equal symbol (β ) as representing a relationship where expressions on either side of the not equal symbol represent different values and justify...
- 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).
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