CCSS.Math.Content.6.RP.A.3b
The standard
Solve unit rate problems including those involving unit pricing and constant speed.
Common Core State Standards for Mathematics
What this standard means
Students need to find a rate for one unit, then use it to solve a related problem. They should move between words, tables, equations, and double number lines for situations like price per ounce, miles per hour, or lawns per hour.
Mastery looks like choosing the correct unit rate, labeling it clearly, and using multiplication or division to answer a new question. Common trouble spots are flipping the rate, ignoring units, and using addition when the situation calls for scaling. Students also need practice with fractions and decimals in rates.
Ways to teach it
- Hands-on activity: Give pairs grocery ads and ask them to find the better buy by calculating price per ounce for three products.
- Discussion or writing prompt: Ask, “How do you know whether to divide or multiply in a unit rate problem?” and require one example.
- Quick assessment: Show 180 miles in 3 hours and ask for miles per hour, then miles in 7 hours.
- Real-world connection: Use a bus schedule or running app screenshot to calculate average speed and predict travel time for a longer trip.
Plan a lesson for CCSS.Math.Content.6.RP.A.3b
Generate a complete lesson plan aligned to this standard, with objectives, activities, and materials. Free, no account needed.
Related standards
- CCSS.Math.Content.4.MD.A.2
Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involvin...
- CCSS.Math.Content.6.RP.A.2
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.
- CCSS.Math.Content.7.RP.A.2b
Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.
- CCSS.Math.Content.HSF-LE.A.1b
Recognize situations in which one quantity changes at a constant rate per unit interval relative to another.