🔑 Key Concepts
- A unit rate compares a quantity to 1 unit of another quantity.
- Miles per hour means the number of miles traveled in 1 hour.
- Unit rates can be found with a ratio table or by dividing.
- When the problem gives minutes but asks for hours, convert the time first or scale the table to 60 minutes.
- For any rate, you can find the unit rate by dividing the first quantity by the second quantity when the units are already matched correctly.
✏️ Worked Examples
🧠 Math Vocabulary
- Rate: a ratio that compares two quantities with different units.
- Unit rate: a rate with a second quantity of 1 unit.
- Miles per hour: the number of miles traveled in 1 hour.
- Ratio table: a table that organizes equivalent rates or ratios.
- Conversion: changing from one unit to another, such as minutes to hours.
💡 Main Idea
Unit rates can be solved in more than one way. A ratio table helps students see equivalent rates, while division gives a direct path to the amount per 1 unit. When a problem asks for miles per hour but gives minutes, make sure the time is converted or scaled to 60 minutes.
📚 What You Should Already Know
Students should know how to divide, multiply fractions, create equivalent ratios, use a ratio table, and convert 60 minutes to 1 hour.
🚀 What Comes Next
After finding unit rates such as miles per hour, students can apply the same reasoning to prices, speed, recipes, constant speed problems, and proportional relationships.
🧩 Embed This Video in Your LMS
Teachers can embed this YouTube video directly into Canvas, Google Classroom, Schoology, or another learning platform. Click below to show the embed code.