DO NOW Add these vocabulary words to the Ch. 5 Vocab section of your notebook. 1. Rate of Change: the relationship between two quantities that are.

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Presentation transcript:

DO NOW Add these vocabulary words to the Ch. 5 Vocab section of your notebook. 1. Rate of Change: the relationship between two quantities that are changing. THIS IS THE SAME AS SLOPE! 2. Slope: The ratio of the vertical change to the horizontal change

5-1 Rate of Change and slope

? 5-1 Rate of Change and Slope Table of contents Page # topic date ? 5-1 Rate of Change and Slope 1

What is rate of change? Rate of Change: the relationship between two quantities that are changing. THIS IS THE SAME AS SLOPE!

Finding rate of change using a table The table shows the distance a band marches over time. Is the rate of change in distance with respect to time constant? What does the rate of change represent?

Let’s try again… What happens if we try to find the rate of change and use nonconsecutive rows of the table? Explain.

Finding slope using a graph

Finding slope using a graph

Now, choose 2 different points. Do you get the same slope? You try Now, choose 2 different points. Do you get the same slope?

You try

Slope formula

Finding slope using points What is the slope of the line through (-1, 0) and (3, -2)?

You try: Finding slope using points What is the slope of the line through (1, 3) and (4, -1)?

What is the slope?

What is the slope?

You try What is the slope of the line through (4, -3), and (4, 2)?

You try What is the slope of the line through (-1, -3) and (5, -3)?