M113

Modeling with Probability

About This Badge

What makes a game fair? How can we predict the likelihood of a candidate winning an election or a team winning a championship? Modeling with probability is a powerful way to gain insight into the world around us and answer questions like these. Nature, society, business, and everyday life are full of situations involving uncertainty and randomness. Probability models enable us to go beyond guesswork and handle these situations quantitatively. In M113 Modeling with Probability, you will calculate and estimate probabilities by using data. You will make sense of and interpret these results to make predictions, analyze strategies, and inform decisions. As you learn modeling with probability, you will strategically utilize tools like tables, tree diagrams, counting techniques, and the rules of probability. Using technology, you will simulate random processes, approximate probabilities, interpret results, and make appropriate decisions about everyday events. Constructing and interpreting two-way frequency tables to determine if events are independent, approximating conditional probabilities, and calculating the expected value to make informed decisions are also important topics of this badge. Modeling with probability is useful for careers in a variety of fields, like meteorology, risk management, nursing research, public policy, sports, and finance.

Learning Activities and Alignment Guidance

These resources provide learning activities that can supplement traditional coursework as well as guidance for aligning coursework to this badge.

Standards M113 2024

Points of Emphasis in M113

Learning Principles 2024

Annotated Examples M113 2024

Student-facing Assignment Templates M113

Assessment: Pre-/Post-Task

These tasks should be administered to students before launching instruction on a new badge and again once badge instruction is coming to a close. These tasks are designed to support students' understanding of what they have learned from the beginning to the end of each badge and to support teachers in making relevant, timely decisions about how they support student learning.

M113 Student Facing Pre Task

M113 Student Facing Post Task

M113 Pre Post Scoring Guide

M113 Task Analysis

M113 Task Analysis

M113 Class Summary File.docx

M113 Class Summary File

Assessment: Performance Tasks

There are two available performance tasks for this badge. Each task has a teacher guide, scoring guidance, and student versions (docx format) in English and Spanish. Where available, samples of student work are also provided.

Introduction to Performance Assessments

M113A Final Answer Teacher-Facing

M113A Final Answer Teacher-Facing

M113A Final Answer Student-Facing

M113A Final Answer Student-Facing

ESP M113A Final Answer Student-Facing

ESP M113A Final Answer Student

M113B Voting for Us Teacher-Facing

M113B Voting For Us Teacher-Facing

M113B Voting for Us Student-Facing

M113B Voting For Us Student-Facing (1)

M113B Voting for Us Scoring Guide

M113B Voting for Us Scoring Guide

Evidence of Learning 2024

Assessment: Professional Development Resources

M113 Baseline PL w student work

M113 Baseline PL w student work

Baseline PL Handout M113 w student work

Baseline PL Handout M113 w student work

Content and Practice Expectations

These resources explain the core content and practice expectations for this badge as well as how this badge aligns to content standards.