Unit rates and equivalent rates

Key Notes :

Understanding Unit Rates:

• Definition: A unit rate is a comparison of two different quantities measured in different units.
• Example: If 8 liters of juice cost $12, the unit rate is $12 ÷ 8 liters = $1.50 per liter.

Finding Unit Rates:

• To find the unit rate, divide the given quantity (usually cost or distance) by the number of units (like liters, miles, etc.).
• Practice problems: Calculate the unit rates for various scenarios involving different units and quantities.

Equivalent Rates:

• Definition: Equivalent rates are rates that express the same relationship between two quantities but may use different units or different amounts of those units.
• Example: 60 miles per hour is equivalent to 1 mile per minute (since 60 minutes = 1 hour).

Solving Problems with Rates:

• Word problems: Solve word problems that involve calculating unit rates and determining equivalent rates.
• Applications: Real-life scenarios such as shopping deals, speed calculations, and consumption rates.

Using Tables and Graphs:

• Representing rates: Use tables and graphs to represent and compare rates visually.
• Conversion: Convert between different units to find equivalent rates and unit rates.

Learn with an example