![]() ![]() The correct solution would be that “50 * 2 * 2 * 2 * 2 = 800 bacteria” This calculation is incorrect because the concept of splitting in half cannot be captured directly by multiplying the initial population repeatedly. How many bacteria would there be after 4 divisions?”Ī common solution given by my students is as follows: “50 * 50 * 50 * 50 = 6250000, so there are 62500000 bacteria after 4 divisions” The bacteria population grows when each bacteria splits in half. “In the beginning of an experiment, there is 50 bacteria cells. The problem I pose to students is as follows: The problem that my students struggled with this year had to do with an application of exponents, specifically with the number of bacteria in a population after it has undergone a period of exponential growth. I find my own student’s misunderstanding to have similar causes. ![]() In the video, Heather’s misconceptions of the videos stem from misinterpretations of common illustrations used in textbooks, and a misconstrued view of the solar system and its planetary bodies. Watching the video provided this week and seeing some of the common misconceptions that even the most educated students have about the solar system reminded me of a recent misconception that was shared among my grade 8 students about the concept of repeated multiplication. ![]()
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