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Rate of Change

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Rate of Change

Graph showing rate of change with arrows

📊 Part 1: Finding Rate of Change

I can define the rate of change and find it from tables and graphs.

1. Look at this table showing water filling a container:

Time (minutes): 0, 1, 2, 3, 4

Volume (liters): 0, 4, 8, 12, 16

What is the rate of change? _______ liters per minute

2. Another container is being filled:

Time (minutes): 0, 1, 2, 3, 4

Volume (liters): 0, 6, 12, 18, 24

What is the rate of change? _______ liters per minute

3. A car travels at a constant speed. In 2 hours, it travels 120 miles. What is the rate of change?

60 miles per hour

120 miles per hour

240 miles per hour

30 miles per hour

4. Show your work for question 3:

🔍 Part 2: Comparing Functions

I can compare two functions and explain which changes faster.

5. Use the data from questions 1 and 2 above. Complete this sentence:

"Function _____ changes _____ times faster than Function _____ because _________________________________."

6. Look at these two scenarios:

Scenario A: Temperature increases 3°F every hour

Scenario B: Temperature increases 9°F every hour

Which scenario has a greater rate of change?

Scenario A

Scenario B

They are the same

7. Complete the comparison sentence for question 6:

✏️ Part 3: Real-World Applications

I can identify rate of change in real-world situations.

8. Create your own example! Think of two activities that change at different rates (like filling containers, walking speeds, or earning money). Describe them below:

Activity 1: ________________________________________

Rate of change: ___________________________________

Activity 2: ________________________________________

Rate of change: ___________________________________

9. Write a comparison sentence using your examples from question 8:
10. Explain in your own words: What does "rate of change" mean?

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