Graphing: Rates of Change (Math 8)
Have you ever wondered how much the US dollar is worth in another country?
Standard(s) Supported: 8.F.B.5
Quick Review: Ratio, Input Value and Output Value
What is a ratio? A ratio is the comparison of two numbers and in math is typically written in fraction form.
Quick Review.pdfWhat is an input or output value? An input value is the value that goes into the relationship. An output value is the value created by the input value and the relationship.
What is a rate of change?
First, what is a rate? A rate is a special ratio. A rate compares two numbers with different units of measures, such as distance (miles) and time (hours).
Rates.pdfSo, what is a rate of change? A rate of change is how one quantity changes in relation to another quantity. In math we look at how the output values change in relationship to the input values.
Typically, you will ask yourself,
“As the input values are increasing, what is going on with the output values?”.
Positive Rates of Change
Positive Rate of Change.pdfNegative Rates of Change
Negative Rate of Change.pdfZero Rate of Change
Zero Rate of Change.pdfHow do you describe (interpret) the rate of change from a graph?
The following graphs (or functional relationships) are all going to represent you riding your bike. Each graph will start the bike ride at your home. The input values will represent the time (in hours) you are biking and the output values will represent the distance (in miles) you are from home while biking.
How do you describe.pdfWhy do we learn about rates of change?
Why we learn about.pdf