1. Understanding Unit Rate
Presented by G. laws
6th grade math

2. NC Standard/Goal
6.RP.2 – Understand that ratios can be expressed as equivalent unit ratios by finding and interpreting both unit rations in context.

3. ESSENTIAL QUESTION
How do I use rate and unit rate language in the context of a ratio relationship?

4. Comparison, Equivalent, Ratio, Rate, Unit Rate
Key Vocabulary Words
Comparison, Equivalent, Ratio, Rate, Unit Rate

5. What is a ratio? A ratio is a way to compare two different quantities?
Example 24 apples to 6 bananas; 4 tennis balls : 5 baseballs.
Remember: Ratios can be compared in 3 ways; Part to Part, Part to Whole; Whole to Part.

6. What is a rate and unit rate?
2. A rate is an equivalent ratio that compares the first quantity in a ratio to only one of the second quantity.
Example : 4 cups of nuts to 2 cups of dried fruit; 4:2
3. A unit rate is a rate in which the second quantity in the comparison is one unit.
Example: $18 for 3 books; the unit rate is $6.00 per 1 book.

7. Marco earned $85 for 10 hours of work.
Practice Problems
Marco earned $85 for 10 hours of work.
What is the ratio of dollars earn to hours worked?: Answer:_________
What is the unit rate? Explain

8. Marco earned $85 for 10 hours of work.
Practice Problems
Marco earned $85 for 10 hours of work.
What is the ratio of dollars earn to hours worked?: Answer: 85 to 10, 85:10, 85/10
What is the unit rate? Explain
$8.50 per hour or $8.50

9. Practice Problems
2. Ryan purchased 3 apples for $1.80, and at a different store, his friend Thomas bought 6 apples for $2.50. Who paid less per apple – Ryan or Thomas?
Explain your answer.

10. Practice Problems
2. Ryan purchased 3 apples for $1.80, and at a different store, his friend Thomas bought 6 apples for $2.50. Who paid less per apple – Ryan or Thomas?
Ryan paid $.60 per apple by dividing $1.80 by 3.
Thomas paid approx. $.42 per apple by dividing $ by 6.
Thomas paid less per apple.

11. 3. Fill in the following table:
Practice Problems
3. Fill in the following table:
Hour 1 3 5 6
Miles
165
330
825
4. What is the unit rate? Explain

12. 3. Fill in the following table:
Practice Problems
3. Fill in the following table:
Hour 1 2 3 4 5 6 15
Miles 55
110
165
220
275
330
825
4. What is the unit rate? Explain
55 mph

13. Summary What are some key things to remember about this lesson?
Do you have any more questions or concerns about this lesson?
Did you highlight or circle key vocabulary words, underline key concepts, write level 1 or level 2 questions, and write a summary?