Florida B.E.S.T. MA.6.AR.3.1
The Standard
Given a real-world context, write and interpret ratios to show the relative sizes of two quantities using appropriate notation: a/b, a to b, or a:b where b ≠ 0.
Florida B.E.S.T. Standards for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students compare two quantities from a real situation and keep the quantities in the stated order. They write the comparison as a/b, a:b, or “a to b” and explain what both numbers mean.
What Mastery Looks Like
- Students identify the two quantities and keep them in the requested order. They write equivalent ratio notation and explain what each number represents in the context.
Common Misconceptions
- Students often reverse the order of the quantities, so apples to oranges becomes oranges to apples. They may confuse part-to-part and part-to-whole comparisons or place zero as the second quantity.
How to Assess It
- Exit ticket: A basket has 8 apples and 5 oranges. Write the ratio of apples to oranges three ways, then explain what 8:5 means.
Lesson moves
Ways to Teach It
Give pairs red and blue counters, have them build a set, then record red to blue in words, colon form, and fraction form.
Display 4 cats and 6 dogs, then ask, “How do 4:6, 6:4, and 4:10 describe different comparisons?”
Use ratio card matches: students pair picture cards with a/b, a:b, and “a to b” cards, then justify each match.
Use a trail mix recipe with 3 cups cereal and 2 cups raisins, then write and explain three relevant ratios.
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Printable MA.6.AR.3.1 Worksheet
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Related Standards
- MA.5.FR.1.1
Given a mathematical or real-world problem, represent the division of two whole numbers as a fraction.
- MA.7.AR.3.2
Apply previous understanding of ratios to solve real-world problems involving proportions.
- MA.6.AR.3.2
Given a real-world context, determine a rate for a ratio of quantities with different units. Calculate and interpret the corresponding unit rate.
- MA.6.NSO.1.2
Given a mathematical or real-world context, represent quantities that have opposite direction using rational numbers. Compare them on a number line and explain ...
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