6 Power Moves Copyright © 2026 Pearson Education, Inc. Power Moves (50 – 60 minutes) Learning Objective(s): ● Students will be able to use given marginal and conditional relative frequencies to construct a two-way relative frequency table. ● Students will be able to create a tree diagram as a tool to organize and calculate relative frequencies. ● Students will be able to interpret joint, marginal, and conditional relative frequencies. ● Students will be able to analyze real-world data for environmental behaviors across countries. Materials needed: ● Student pages: Power Moves ● Calculator Lesson Procedure: Warm–Up 10 minutes Prompt: Varying challenges, such as economy, technology, education, or cultural habits, can affect whether and how people in different places monitor how much energy they use. Are energy-saving habits likely to be the same in the United States as in other countries? Why or why not? Discuss with a partner before discussing as a class. Discuss: associated categorical vs. independent categorical data Guided Instruction 15 minutes Present: scenario for Power Moves. Example: Given that 55% of households are from Elaria and 80% of all households monitor their energy use, how can you determine the proportion of surveyed Elaria households that monitor their energy use? 0.55 • 0.8 What proportion of surveyed Elaria households monitor their energy use? 44% Review: key terms – joint frequencies, marginal frequency, conditional relative frequency, tree diagram joint frequenies: observed frequencies in the interior of a contingency table marginal frequency: frequency that an entire category of one of the variables occurs conditional relative frequency: likelihood of one event happening given that another event has already occurred tree diagram: visual representation of a hierarchical structure used to illustrate all possible outcomes of a process or problem Independent Practice 20 minutes Distribute: student activity Power Moves Allow students to work individually, in pairs, or in groups of three. Closure 10–15 minutes Review Answers: 1. 2. Monitor energy Do not monitor energy Total Elaria 0.44 0.11 0.55 Austara 0.2925 0.1575 0.45 Total 0.7325 0.2675 1.00 3. 0.11 or 11% 4. 0.7325 or 73.25% 5. 0.1575 or 15.75% 6. 60.1% 7. More Elaria households (80%) actively monitor energy vs. Austara households (65%), so campaigns might focus more on Austara to increase monitoring. Discuss: What might explain differences in household energy habits between Elaria and Austara? How might these insights help guide international sustainability efforts?
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