Comparing Function Rates 8th grade

Name:

Date:

📊 Part 1: Understanding Rate of Change

I can statements for this lesson:

• I can define rate of change in my own words

• I can compare two functions to determine which changes faster

• I can explain why one function changes faster than another

1. Rate of change tells us how fast something is changing over ___________.

2. Look at these two walking scenarios:

Tom: Walks 3 miles every hour

Sara: Walks 5 miles every hour

Who is changing distance faster? Circle your answer:

Tom

Sara

They are the same

3. Anna walks 4 miles every hour. Mike walks 6 miles every hour. Who changes faster?

Anna

Mike

They are the same

Sentence Frame: "Function _______ changes faster than Function _______ because _____________."

4. Use the sentence frame to compare Tom (3 miles/hour) and Sara (5 miles/hour):

5. Jake saves $2 every week. Emma saves $7 every week. Use the sentence frame to explain who saves money faster:

6. A plant grows 1 inch every month. Another plant grows 3 inches every month. Complete this comparison:

The second plant changes __________ than the first plant because it grows __________ inches per month.

7. Create your own scenario with two different rates. Then use the sentence frame to compare them:

Scenario A: _________________________________________________

Scenario B: _________________________________________________

8. In your own words, what does "changes faster" mean?

9. Extension Challenge: If a car travels 60 miles per hour and a bicycle travels 15 miles per hour, how many times faster does the car travel?