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12th Grade  Project 8 weeks

"Probability Adventure: Mapping the Numbers"

Stefanie T
Pose and solve problems
Represent and communicate information mathematically
Analyze and interpret data
Find inspiration and ideas
Develop a plan to pursue a goal
+ 4 more
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Purpose

This project aims to equip students with the skills to analyze and interpret real-world data using conditional probabilities and percentages, fostering quantitative reasoning and critical thinking. Through hands-on activities and collaborative projects, students will explore how these mathematical concepts apply to everyday situations, enabling them to make informed decisions and solve complex problems. By engaging in reflective practices and iterative feedback, students will develop a deeper understanding of the mathematical principles and their relevance to societal issues and personal goals.

Learning goals

Students will develop quantitative reasoning skills by posing and solving real-world problems involving percentages, ratios, and conditional probabilities. They will enhance their ability to represent and communicate mathematical information through the creation of scale models and interactive exhibits. By analyzing and interpreting data using two-way tables, students will gain insights into the effectiveness of screening tools and everyday decision-making processes. Throughout the project, students will engage in reflective practices, discussions, and feedback sessions to monitor their progress and adjust their strategies, fostering a deeper understanding of mathematical concepts and their applications.
Standards
  • Common Core - CCSS.MATH.CONTENT.HSS.ID.A.1: Represent data with plots on the real number line (dot plots, histograms, and box plots).
  • Common Core - CCSS.MATH.CONTENT.HSS.CP.A.3: Understand the conditional probability of A given B as P(A and B)/P(B), and interpret independence of A and B as saying that the conditional probability of A given B is the same as the probability of A.
  • Common Core - CCSS.MATH.CONTENT.HSS.CP.B.9: Use permutations and combinations to compute probabilities of compound events and solve problems.
Competencies
  • Reason Quantitatively - Pose and solve problems (RQ.1)
  • Reason Quantitatively - Represent and communicate information mathematically (RQ.3)
  • Reason Quantitatively - Analyze and interpret data (RQ.2)
  • Read The World - Find inspiration and ideas (RW.1)
  • Learn with Purpose - Develop a plan to pursue a goal (LI.1)
  • Learn with Purpose - Monitor progress and adjust (LI.2)
  • Learn with Purpose - Give and receive feedback (LI.3)
  • Learn with Purpose - Reflect (LI.5)
  • Learn with Purpose - Engage in discussion (LI.4)

Products

Students will develop an interactive exhibit showcasing real-world scenarios that utilize percentages and ratios, demonstrating their application in everyday decision-making and problem-solving. They will design and construct a scale model of a local park, accompanied by a detailed visual portfolio that documents their calculations, reflections, and adjustments throughout the project. Additionally, students will collaborate to create an infographic that visually represents data analysis from a two-way table, highlighting key insights and conditional probabilities within a real-world context.

Launch

Kick off the project with the 'Insightful Explorers' Workshop, where students engage in hands-on activities to explore real-world scenarios involving percentages and ratios. Facilitate group discussions to encourage students to share their insights and ideas, setting the stage for deeper exploration. Use this collaborative environment to introduce the essential questions, inspiring students to think critically about how these mathematical concepts apply to everyday life.

Exhibition

Students will host an interactive exhibition where they showcase their projects, including the real-world scenarios analyzed using conditional probabilities and two-way tables, as well as their scale models of local parks. Attendees will engage with students' exhibits, exploring the visual portfolios and collaborative infographics that highlight their data analysis and insights. The exhibition will feature a gallery walk, allowing students to explain their processes, share reflections, and discuss the practical applications of percentages, ratios, and scale factors in everyday decision-making.