CCSS.Math.Content.6.RP.A.2
The standard
Understand the concept of a unit rate a/b associated with a ratio a:b with b ≠ 0, and use rate language in the context of a ratio relationship.
Common Core State Standards for Mathematics · Ratios and Proportional Relationships
What this standard means
Students need to understand “per 1” thinking. They take a ratio with two amounts and find the amount for one of the second quantity. They should say rates in context, like dollars per ticket, miles per hour, or cups per serving, not just write a fraction.
Mastery looks like moving between a ratio, a unit rate, words, and a simple table. Students often divide the wrong way, ignore labels, or treat 3 to 4 as always 3 divided by 4 without asking “per what?” Watch for answers with no units.
Ways to teach it
- Hands-on: Give pairs recipe cards and measuring cups, then have them find the amount of each ingredient per 1 serving.
- Prompt: Explain the difference between “12 apples for 4 bags” and “4 bags for 12 apples” using the word per.
- Quick assessment: Show “$18 for 6 notebooks” and ask students to write two unit rates with correct labels.
- Real-world connection: Use a grocery ad and have students find which cereal has the lower price per ounce.
Plan a lesson for CCSS.Math.Content.6.RP.A.2
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Related standards
- CCSS.Math.Content.6.RP.A.1
Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities.
- CCSS.Math.Content.4.NF.B.4a
Understand a fraction a/b as a multiple of 1/b.
- CCSS.Math.Content.4.NF.B.4b
Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number.
- CCSS.Math.Content.4.NF.B.3
Understand a fraction a/b with a > 1 as a sum of fractions 1/b.