RATE
Definition Of Rate
Rate is a ratio that compares two quantities of different units.
More About Rate
Unit Rate: Unit rate is a rate in which the second term is 1.
For example, Jake types 10 words in 5 seconds.
Jake's unit rate is the number of words he can type in a second.
His unit rate is 2 words per second.
Examples of Rate
20 oz of juice for $4, miles per hour, cost per pound etc. are examples of rate.
Video Examples: Rate of Change
Solved Example on Rate
Ques:"4 lb of meat costs $5." Identify the two rates given by the statement.
Choices:
A.
and 
B. 
and 
C. 
and 
D. none of these
Correct answer: A
Solution:
Step 1: Rate is a ratio that compares two quantities of different units.
Step 2: The two rates given by the statement are 
Quick Summary
- Rate compares two quantities with different units.
- Unit rate is a rate where the second term is 1.
- Examples of rate include miles per hour and cost per pound.
⚠️ Common Mistakes
- Confusing rate with ratio (rate has different units).
- Incorrectly calculating unit rate.
- Not including units when expressing a rate.
🌍 Real-World Uses
- Calculating the gas mileage of a car in miles per gallon to budget for a road trip.
- Determining the cost per unit of different brands of cereal at the grocery store to find the best value.
- Estimating the time it will take to complete a project based on an hourly work rate.
📋 Standards Alignment
CCSS.MATH.CONTENT.6.RP.A.2CCSS.MATH.CONTENT.7.RP.A.1
🔗 Related Links
🍎 Teacher Insights
Use real-world examples to illustrate the concept of rate. Emphasize the importance of units in understanding and calculating rates. Provide ample practice problems involving different units.🎓 Prerequisites
- Fractions
- Ratios
- Proportions
- Division
Check Your Knowledge
Q1: 4 lb of meat costs $5. What are the two rates given by the statement?
Frequently Asked Questions
Q: What is the difference between a rate and a ratio?
A: A rate compares quantities with different units, while a ratio compares quantities with the same units.
Q: How do you calculate a unit rate?
A: Divide the first quantity by the second quantity to get a rate where the second quantity is 1.