All grades
Project
5 weeks
Minecraft Mythbusting: Dream's Data Dilemma!
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Purpose
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.
Rubric
Learning Journey
No learning journey yet!
Plan
| Week 1 |
Day 1
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Day 2
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Day 3
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Day 4
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Day 5
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| Activities |
Unit Introduction - Transform the classroom into a Minecraft-inspired setting and introduce the unit's essential questions about luck and statistics (15 min)
Intro to Stats and Samples - Discuss basic statistical concepts and identify examples of populations and samples (20 min)
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Knot POW - Engage in a problem of the week that involves probability and statistics using knot tying as a practical example (30 min)
Reflection Journal Entry - Reflect on the day's activity and how it relates to understanding probability (20 min)
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Introduction to Sampling Methods - Explore various sampling methods and their applications in real-world scenarios (20 min)
Skittles Experiment Setup - Prepare for a hands-on experiment involving sampling Skittles to understand random sampling (20 min)
Reflection Journal Entry - Document insights gained from initial sampling method discussions (10 min)
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Conduct Skittles Experiment - Perform the Skittles sampling experiment and collect data (25 min)
Data Analysis Discussion - Analyze the collected data to understand sampling accuracy and potential biases (15 min)
Reflection Journal Entry - Record observations about how sampling methods impact data collection (10 min)
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Samples Quality Investigation - Evaluate the quality of different samples and discuss factors affecting data reliability (30 min)
Reflection Journal Entry - Reflect on the importance of sample quality in statistical investigations (10 min)
Sampling Methods Poster - Begin creating a poster that visually represents different sampling methods and their effectiveness (10 min)
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| Deliverables |
1. Reflection journal entries documenting students' understanding of probability and statistics, focusing on sampling methods and their implications in gaming.
2. Sampling Methods Poster showcasing different sampling techniques and their applications. |
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| Preparation |
1. Set up the classroom as a Minecraft-inspired environment with interactive stations for data collection.
2. Prepare materials for the Skittles Experiment, including Skittles packages and data collection sheets. 3. Gather resources for the Knot POW, ensuring students have access to necessary materials for hands-on problem-solving. 4. Provide poster-making supplies for the Sampling Methods Poster activity, including paper, markers, and reference materials. 5. Facilitate access to reflection journals, ensuring students have a dedicated space for documenting their learning experiences. |
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| Week 2 |
Day 6
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Day 7
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Day 8
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Day 9
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Day 10
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| Activities |
Sampling Methods Exploration - Dive into different sampling methods, including random and stratified sampling, through interactive discussions and examples (20 min)
Skittles Sampling Experiment Execution - Conduct the Skittles sampling experiment to gather data and observe sampling methods in action (25 min)
Reflection Journal Entry - Reflect on the effectiveness of sampling methods and initial thoughts on probability (5 min)
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Data Analysis Workshop - Analyze the Skittles experiment data, focusing on sampling accuracy and potential biases (30 min)
Sampling Methods Poster Creation - Begin designing a poster to visually represent different sampling methods and their impact on data accuracy (15 min)
Reflection Journal Entry - Document insights gained from data analysis and how it shapes understanding of statistics (5 min)
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Samples Quality Investigation - Evaluate the quality of collected samples and discuss factors affecting data reliability (20 min)
Sampling Methods Poster Completion - Finalize the poster showcasing sampling methods and their real-world applications (20 min)
Reflection Journal Entry - Reflect on how sample quality affects statistical conclusions and decision-making (10 min)
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Sampling Methods Presentations - Present and discuss the completed sampling methods posters with classmates, exchanging feedback and ideas (30 min)
Introduction to Hypothesis Testing - Introduce the concept of hypothesis testing and its role in statistical analysis (15 min)
Reflection Journal Entry - Reflect on the presentation experience and initial understanding of hypothesis testing (5 min)
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Hypothesis Testing Activity - Engage in hands-on activities to explore hypothesis testing using real-world examples (25 min)
Suspicious Coin Experiment - Conduct an experiment to test hypotheses using a coin flip scenario and analyze the results (20 min)
Reflection Journal Entry - Reflect on the hypothesis testing activity and how it informs conclusions about luck and skill (5 min)
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| Deliverables |
1. Skittles Experiment Data Sheet - a record of the sampling process and results.
2. Sampling Methods Poster - a visual representation of various sampling techniques, including examples and reflections. 3. Reflection Journal Entry - a personal reflection on what students learned about sampling methods and their thoughts on how probability and statistics help make conclusions. |
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| Preparation |
1. Gather materials for the Skittles Experiment, including Skittles, cups, and data recording sheets.
2. Prepare digital or printed handouts for Sampling Assignment 1 related to Minecraft scenarios. 3. Provide poster paper, markers, and art supplies for the Sampling Methods Poster activity. 4. Set up a schedule for poster presentations, ensuring each group has time to present. 5. Organize a reflection journal template for students to document their insights and learning experiences throughout the week. |
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| Week 3 |
Day 11
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Day 12
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Day 13
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Day 14
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Day 15
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| Activities |
Sampling Methods Review - Recap different sampling methods and discuss their real-world applications with examples (20 min)
Sampling Assignment 1: Skittles Experiment - Conduct hands-on Skittles sampling to reinforce understanding of random sampling (30 min)
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Knot POW Analysis - Engage in a problem of the week that explores probability through knot tying, discussing outcomes and probabilities (30 min)
Reflection Journal Entry - Reflect on the knot tying activity and explore how probability concepts apply to everyday scenarios (20 min)
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Sampling Bias Exploration - Identify and discuss different types of sampling biases and their effects on data interpretation (20 min)
Skittles Experiment Data Analysis - Analyze collected data from the Skittles experiment to identify any biases or errors (30 min)
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Quality of Investigation Discussion - Evaluate the quality of various samples collected, focusing on factors affecting data reliability (25 min)
Reflection Journal Entry - Reflect on the importance of sample quality and how it impacts conclusions drawn from data (25 min)
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Sampling Methods Poster Creation - Design a poster that visually represents different sampling methods and their effectiveness (30 min)
Sampling Methods Presentations Preparation - Prepare short presentations to explain the chosen sampling method and its real-world application (20 min)
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| Deliverables |
1. Students will submit a Skittles Experiment Report, which includes data collection, analysis, and a reflection on sampling methods used.
2. Students will create and present a Sampling Methods Poster, showcasing different sampling techniques and their applications. 3. Students will complete reflection journal entries focusing on their experiences with sampling methods and how their understanding of probability and statistics is evolving. |
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| Preparation |
1. Gather materials for the Skittles Experiment, including Skittles, measuring tools, and data recording sheets.
2. Prepare guidelines and rubrics for the Sampling Methods Poster presentations. 3. Set up a classroom space with resources on sampling methods, such as informative posters or digital resources, for students to reference during their activities. 4. Ensure students have access to their reflection journals and provide prompts related to sampling methods and their real-world applications. |
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| Week 4 |
Day 16
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Day 17
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Day 18
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Day 19
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Day 20
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| Activities |
Design the Experiment - Guide students in designing an experiment to collect data on diamond finding methods in Minecraft, focusing on variables and controls (25 min)
Reflection Journal Entry - Reflect on the process of designing an experiment and the importance of controlling variables (15 min)
Collaborative Planning Session - Work in groups to finalize experimental plans and prepare for data collection (10 min)
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Diamonds Data Collection - Conduct the designed experiment in Minecraft, collecting data on diamond finding using various methods (30 min)
Initial Data Analysis - Begin analyzing the collected data, looking for patterns and anomalies (15 min)
Reflection Journal Entry - Reflect on the data collection process and initial findings, considering how luck and strategy play roles (5 min)
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Data Analysis Workshop - Continue analyzing data, using statistical methods to evaluate outcomes and determine significance (30 min)
Group Data Synthesis - Collaborate to synthesize individual findings into a coherent group data set (15 min)
Reflection Journal Entry - Reflect on how statistical analysis deepens understanding of probability and outcomes (5 min)
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Advanced Data Analysis - Explore deeper statistical concepts such as standard deviation and normal distribution using collected data (35 min)
Visual Data Presentation - Create visual aids like graphs and charts to represent data analysis findings (10 min)
Reflection Journal Entry - Document insights on how visual representation aids in interpreting statistical data (5 min)
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Data Presentation Preparation - Prepare group presentations on statistical analysis findings, incorporating visual aids (25 min)
Peer Review Session - Present findings to peers and receive feedback on analysis and presentation clarity (20 min)
Reflection Journal Entry - Reflect on peer feedback and how it informs further understanding of probability and statistics (5 min)
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| Deliverables |
1. Guided Reading Assignment Summary
2. Sampling Bias Activity Reflection 3. Piglin Trading Data Set and Analysis 4. Blaze Rod Data Set and Analysis 5. Reflection Journal Entries on Data Collection and Analysis |
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| Preparation |
1. Prepare selected articles on the Dream scandal for the Guided Reading Assignment.
2. Create materials for the Sampling Bias activity, including survey templates and examples. 3. Set up Minecraft stations for Piglin trading and Blaze Rod data collection. 4. Provide tools for data analysis, such as graph paper, calculators, and software for creating charts. 5. Ensure students have access to their reflection journals and prompts for daily entries. |
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| Week 5 |
Day 21
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Day 22
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Day 23
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Day 24
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Day 25
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| Activities |
Final Project Work Session - Collaborate with peers to refine statistical analysis reports and prepare for presentations (50 min)
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Project Refinement and Peer Feedback - Exchange feedback with classmates to enhance clarity and accuracy of reports (30 min)
Reflection Journal Entry - Document insights gained from peer feedback and reflect on the learning journey throughout the project (20 min)
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Final Presentation Preparation - Organize and rehearse presentations, ensuring all key statistical concepts are clearly communicated (30 min)
Visual Aids Development - Create graphs and charts to effectively illustrate findings and conclusions (20 min)
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Final Project Presentations - Present statistical analysis reports to peers, teachers, and invited guests, focusing on findings and conclusion (40 min)
Reflection Journal Entry - Reflect on the presentation experience and the role of statistics in understanding real-world scenarios (10 min)
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Unit Reflection and Closure - Engage in a group discussion reflecting on the unit's essential questions and personal growth (30 min)
Final Reflection Journal Entry - Summarize the overall learning experience and how understanding of statistics and probability has evolved (20 min)
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| Deliverables |
1. Comprehensive statistical analysis report on the Dream scandal, including visual aids and reflective insights.
2. Final reflection journal entry summarizing the learning journey and personal insights gained. |
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| Preparation |
1. Prepare instructions and rubrics for the final project to guide students' work.
2. Set up a schedule and guidelines for the peer critique session. 3. Ensure access to materials for creating visual aids, such as graph paper, markers, and digital tools if necessary. 4. Prepare a reflection prompt to guide students in their final journal entry, encouraging them to consider their growth and insights gained. |
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