The mathematical goal of this lesson is for students to collect data and analyze it using a randomization distribution to compare 2 treatments. The work of this lesson connects to the work of the previous lesson because students examined a randomization distribution with given data. When students make inferences and justify conclusions using a randomization distribution they are reasoning abstractly and quantitatively (MP2).
- Collect and analyze data using a randomization distribution to compare 2 treatments.
Let’s collect and analyze data.
Students will need stopwatches or a stopwatch app to record their heart rates. For The Counting Experiment you should use the random assignment created in the previous lesson. For The Flapping Experiment a new random assignment is needed which could again be done using a paper bag and slips of paper with student names on it. The students will be doing a simulation using slips of paper (enough so that each student has as many slips of paper as students in the class) and a paper bag from which to draw the slips.
Acquire devices that can run GeoGebra (recommended) or other statistical technology. It is ideal if each student has their own device. (A GeoGebra Statistics tool is available under Math Tools.)
- I can conduct an experiment and analyze the results.
- I can justify when the claims of an experiment are due to a treatment or to the random assignment of groups.
- I know why it is important to question the validity of the claims of an experiment.
In an experiment where you are comparing two groups, one of which is being given a treatment and the other of which is the control group without any treatment, the treatment is the value of the variable that is changed for the treatment group.