One purpose of this lesson is to introduce students to the Info Gap routine. Students deepen their understanding of standard deviation by interpreting it in various contexts. Students expand on the work from previous lessons by seeing the standard deviation in various contexts. The work of this lesson connects to upcoming work because students will continue to examine how variability, along with the context of a problem, can help determine whether data are outliers and what to do with these values.
Interpreting standard deviation in context is evidence that students are reasoning abstractly and quantitatively (MP2). The information gap activity may take students several rounds of discussion to make sense of and gain the information they need to solve the problem (MP1). The information gap structure also allows them to refine the language they use and ask increasingly more precise questions until they get the information they need (MP6).
- Describe (orally and in writing) the meaning of standard deviation in context.
- Let’s continue to interpret standard deviation.
Print and cut up slips from the blackline master. Prepare 1 copy for every 2 students.
- I can use standard deviation to say something about a situation.
A measure of the variability, or spread, of a distribution, calculated by a method similar to the method for calculating the MAD (mean absolute deviation). The exact method is studied in more advanced courses.
A quantity that is calculated from sample data, such as mean, median, or MAD (mean absolute deviation).