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The mathematical goal of this lesson is for students to experience the full process of doing an experimental study. Students must consider the design of the study, collect data, and then analyze it using a randomization distribution to compare two treatments.
The activities suggest using activities to elevate heart rates for students under different conditions, then analyzing the increase in heart rates. This gives students a chance to be active and collect data about themselves without too many additional tools needed. Consider the needs and abilities of students in the classroom, and prepare an alternative experimental set up if there is something more appropriate for them.
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).
Students will need stopwatches or a stopwatch app to record their heart rates.
Students will need stopwatches or a stopwatch app to record their heart rates. For this activity, use the random assignment created in an earlier lesson.
Students will need stopwatches or a stopwatch app to record their heart rates. For this activity, a new random assignment is needed, which could again be done using a paper bag and slips of paper with students’ names on them. 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.