Sophia: Finding Rates of Change From Tabular Data

Don't table the resource—use it now. An AP® Calculus curriculum module encourages the use of tabular data throughout the course. It provides some example topics, such as rate of change, net change, and average value of a function, where...

Bring the sun to your class! Young scholars analyze actual solar wind data in the second lesson of a five-part series. Their analysis includes speed, temperature, and density data.

How do you summarize data that cannot be averaged? Using an exploratory method, learners complete a two-way frequency table on super powers. The subject matter builds upon 8th grade knowledge of two-way tables. 

Use a formula to determine the rate of change for a given table of data.

Using a set of data organized in a table, determine the rate of change.

Can scholars determine the mean if the frequency is for a range? By using a method similar to finding the mean from a frequency table, the video shows how to find an estimated mean for grouped data. It uses the midpoint of the interval...

The data sample comes from the number of glasses of water consumed each day by 15 students. You are trying to find minimum, maximum, median, and quartile from this data set. Minimum is the smallest number that occurs, while maximum is...

The teacher gives a very thorough explanation of numerical or quantitative data being anything where the answer to a question would be a number. Whereas any other answer might be considered categorical. She shows several different ways...

The rate of change is defined as how one quantity changes in relationship to another quantity. The instructor diagrams a graph and demonstrates how to use a formula to calculate the rate of change. It might take two viewings to catch all...

You already know that the mode of a data set is the number that occurs most often in the set. But what if all of the numbers in the set occur the same number of times? I could tell you the answer, but I think you should watch the video.