Probability-Based Decision Making

A comprehensive prep sequence for the most challenging questions on the ACT Math and Science sections. It focuses on high-level conceptual blueprints for math topics like complex numbers and matrices, alongside speed-reading and data-interpretation strategies for the Science section.

A comprehensive 7th-grade unit exploring probability through game design, where students move from understanding basic likelihood to analyzing mathematical fairness and building their own chance-based simulations.

A high-stakes dive into the mathematics of probability, risk assessment, and expected value, teaching students how to analyze games of chance and skill through a professional lens.

A two-part, 90-minute sequence designed for French Terminale Section Européenne (Maths in English) students, exploring probability models, expected value, decision trees, and game theory with a strong emphasis on oral communication.

A Tier 2 intervention sequence focused on using probability to analyze decisions, specifically targeting medical testing (false positives/negatives) and game-time strategies. Students learn to use tree diagrams and contingency tables to navigate complex conditional probability scenarios.

A comprehensive unit focused on practical applications of probability for high school students, emphasizing decision-making, fairness, and risk assessment.

A small group intervention sequence focused on understanding and applying probability to ensure fair decision-making, specifically designed for students needing extra support in High School Statistics.

A high school statistics intervention sequence focused on decision-making through expected value calculations. Students learn to construct payoff tables, assign probabilities, and compare outcomes in real-world scenarios.

A targeted intervention sequence focused on helping High School students master the calculation and interpretation of expected value using concrete game scenarios and scaffolded table methods.

A targeted intervention sequence focused on foundational probability concepts, specifically developing discrete probability distributions and calculating expected values through visual scaffolds like tree diagrams and organized counting.

A graduate-level exploration of expected value applications in finance, covering utility theory, portfolio optimization, risk-neutral pricing, and tail risk metrics. Students transition from theoretical foundations to computational implementation using Monte Carlo methods.

An advanced 11th-grade statistics sequence focusing on the selection, application, and ethical implications of two-population inference tests through a professional consultant simulation.

A comprehensive lesson covering probability rules, counting principles, discrete random variables, and empirical distributions. Includes a condensed reference sheet and a practice review worksheet.

A comprehensive summary of probability concepts tailored for the Algebra 2 Regents exam, featuring visual aids for Venn diagrams, two-way tables, and independence tests.

Master planning resources, pacing guides, and curriculum frameworks for advanced high school mathematics courses.

An introductory exploration of random variables, probability distributions, and statistical measurements including mean, standard deviation, and linear transformations.

A targeted Tier 2 intervention lesson focusing on evaluating model consistency through simulations, designed for small group support in High School Statistics.

A Tier 2 intervention lesson focused on calculating expected payoffs for games of chance using a vintage carnival theme. Students use probability distributions to determine if carnival games are 'fair' through scaffolded, hands-on simulations.

A Tier 2 intervention lesson focusing on using probability and expected value to analyze real-world decisions in medical testing, product quality, and sports strategy. Students use decision trees and justification templates to move from calculations to reasoned arguments.

A targeted Tier 2 intervention lesson focused on calculating and comparing expected values to make informed decisions in sports and business contexts. Students will learn to evaluate competing strategies through scaffolded practice and peer justification.

A targeted small group intervention lesson focused on using probability to make and analyze real-world decisions in sports and medicine. Students will use expected value and tree diagrams to justify strategies like pulling a hockey goalie or interpreting medical tests.

A Tier 2 intervention lesson designed for small groups to master calculating and interpreting expected value through scaffolded practice with real-world scenarios like smartphone insurance and carnival games.

A targeted Tier 2 intervention lesson designed to help high school students evaluate and compare different strategies using expected value calculations and decision-making frameworks.

A targeted intervention lesson for high school students to master the calculation of expected value in games of chance, focusing on defining random variables and determining game fairness.