Combinatorics Carnival: Probability Playground

10th Grade Lesson 45 minutes

Combinatorics Carnival: Probability Playground

Vladimir D

CCSS.Math.Content.HSS-CP.B.9

Self Directed Learning

Academic Mindset

Critical Thinking & Problem Solving

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Purpose

Students will dive into the exciting world of combinatorics and probability by working with real sports statistics to make predictions about upcoming games. This interactive experience allows students to collaborate, think critically, and apply math in a context that aligns with their passions. With the chance to engage with sports analysts and refine their models, students will experience the thrill of using math to tackle real-world challenges and see their predictions come to life.

Learning goals

Students will dive into the world of sports analytics, using combinatorial principles to predict game outcomes, making learning both engaging and relevant. They will craft predictive models based on historical data, employing permutations and combinations, and refine these models with insights from sports analysts. Through this process, students will sharpen their critical thinking and problem-solving skills while actively participating in collaborative and reflective learning experiences.

Standards

[Common Core] CCSS.Math.Content.HSS-CP.B.9 - (+) Use permutations and combinations to compute probabilities of compound events and solve problems.

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

Students will collaboratively create an interactive sports prediction game that incorporates their predictive models using combinatorics and probability. Each group will design a game board or digital simulation where classmates can test different outcomes based on their calculations. The project will culminate in a class tournament where students play each other's games, fostering a lively discussion on the accuracy and creativity of the models.

Launch

Begin the lesson with an interactive sports-themed challenge where students form teams and engage in a fast-paced game predicting outcomes of a fictional sports tournament using dice and cards. Each team will simulate different game scenarios, using dice rolls and card draws to determine possible outcomes, while discussing the probability of each result. This engaging activity will ignite curiosity and enthusiasm, encouraging students to explore the real-world applications of combinatorics and probability in a lively and collaborative setting.

Exhibition

Students will host a "Sports Analytics Carnival" featuring interactive booths where they present their predictive models in a fun, game-like format. Each booth will offer engaging activities, such as quizzes or simulations, allowing peers and community members to test predictions and learn about combinatorics and probability in action. Local sports analysts will join as special guests to provide feedback and share insights, making the event both educational and entertaining. This lively atmosphere encourages participation and highlights the real-world applications of mathematics.

Learning Journey

Project Activities

Sports Tournament Simulation

Activity 5m

Introduction to Combinatorics & Probability

Activity 10m

Team Data Analysis

Activity 10m

Expert Q&A Panel

Activity 10m

Predictive Model Creation

Activity 5m

Reflection & Sharing

Activity 5m

Plan

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Combinatorics Carnival: Probability Playground

Purpose

Learning goals

Standards

Competencies

Products

Launch

Exhibition

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