This unit aims to deepen students' understanding of probability and statistics by engaging them in a real-world investigation inspired by Minecraft speedrunning. Through hands-on activities and data analysis, students will explore the nuances between luck and cheating, applying statistical methods to assess controversial scenarios. By examining the 2020 Dream scandal, students will develop critical thinking skills, learn to interpret statistical evidence, and draw informed conclusions about complex issues. The reflection journal will serve as a tool for students to document their evolving mindset and metacognition, encouraging them to consider how statistics and probability shape their understanding of the world. This project-based approach encourages students to actively participate in their learning journey, fostering a strong sense of identity and belonging within the context of mathematical inquiry.
Learning goals
Students will develop a deep understanding of statistical concepts, including sampling methods, normal distribution, and hypothesis testing, while applying these to real-world scenarios. They will design experiments, collect and analyze data, and interpret p-values to make informed conclusions. Throughout the unit, students will engage in critical thinking and problem-solving, examining controversies like the Dream speedrunning scandal through a statistical lens. Reflection journals will support students in considering their evolving understanding of statistics and probability, enhancing their self-directed learning and academic mindset.
Standards
[Common Core] CCSS.Math.Content.HSS-MD.B.5 - (+) Weigh the possible outcomes of a decision by assigning probabilities to payoff values and finding expected values.
[Next Generation Science Standards] 6-8.AF.4.6 - Consider limitations of data analysis (e.g., measurement error), and/or seek to improve precision and accuracy of data with better technological tools and methods (e.g., multiple trials).
[Next Generation Science Standards] 4-PS4-3 - Generate and compare multiple solutions that use patterns to transfer information.
Competencies
Self Directed Learning - Students use teacher and peer feedback and self-reflection to monitor and direct their own learning while building self knowledge both in and out of the classroom.
Academic Mindset - Students establish a sense of place, identity, and belonging to increase self-efficacy while engaging in critical reflection and action.
Critical Thinking & Problem Solving - Students consider a variety of innovative approaches to address and understand complex questions that are authentic and important to their communities.
Products
Throughout this learning experience, students will create a series of data-driven projects, including a Minecraft diamond collection experiment report and a statistical analysis of the Dream scandal. They will develop visual aids such as graphs and charts to illustrate their findings on probability and statistics. By the end, students will collaboratively design and present a comprehensive statistical analysis report, showcasing their understanding of sampling methods, normal distribution, and hypothesis testing. Additionally, students will maintain a reflection journal documenting their evolving understanding of how statistics and probability can be used to make conclusions about the world, with a focus on their mindset and metacognition.
Launch
Begin the learning experience by transforming the classroom into a Minecraft-inspired setting, where students will embark on a quest to collect diamonds using various methods, including traditional mining and an X-Ray mod. Set up interactive stations where students can simulate these methods and gather data on their findings. Encourage students to reflect in their journals on their initial thoughts about probability and statistics, considering how these concepts can help differentiate between luck and skill. This immersive activity will engage students in the world of Minecraft speedrunning and provide a foundation for exploring statistical analysis throughout the unit.
Exhibition
At the conclusion of the unit, students will host a "Statistics in Gaming" showcase where they present their findings on the Dream scandal through interactive exhibits. Each group will display their statistical analysis reports, complete with visual aids like graphs and charts, and explain their conclusions to peers, teachers, and invited guests. The event will also feature live demonstrations of Minecraft gameplay, illustrating the methods used for data collection and analysis, allowing attendees to engage with the process and results. Students will also share insights from their reflection journals, discussing how their understanding of statistics and probability has evolved and how these tools can be applied to make informed conclusions about real-world scenarios.
