M111

Modeling with Data: One-Variable Measurement Data

About This Badge

Some questions have a precise answer. For example, “How many years old is my little brother?” Other questions do not lead to a single answer, but to a set of data. In particular, some important questions about the world around us involve one-variable measurement data. This includes questions such as: “How much carbon dioxide is emitted daily in New York City?” or “How many hours do my classmates spend on social media?” By allowing us to analyze such questions, the tools and methods of statistics with one-variable measurement data can help us better understand our world, address the challenges of our time, and advocate for change. In M111 Modeling with One-Variable Measurement Data, you will pose and analyze meaningful statistical questions that yield one-variable measurement data. You will strategically use data displays and quantitative methods to draw conclusions, gain insight into the situation, and generate new questions. As you learn modeling with one-variable measurement data, you will use technology to create and analyze histograms and other visual displays. You will summarize data sets with measures of center, spread, and reason interpreting the meaning of differences in center, shape, and spread. Finally, you will model data with normal distribution and estimate population percentages. The work for this badge builds a foundation for the future study of topics such as modeling with two-variable data, statistical inference, and data science. Modeling with one-variable measurement data is useful for careers in a variety of fields, like statistics, economics, biology, and computer science.

Suggested prerequisites for this badge: understanding of fractions, decimals, and percentages; comfort with using formulas.

XQ has developed a project-based unit aligned to Badge 111 as a part of the XQ Math Algebra 1 course. Find a teacher guide, content overview, and project overview for _Module 1 - Beyond Average_ under Learning Principles and Learning Activities, below. You can access the full folder of module materials HERE.

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 M111 2024

Points of Emphasis in M111

Introduction to Alignment Guidance Final

M111 Alignment Guidance x

Learning Principles 2024

Annotated Examples M111 2024

Student-facing Assignment Templates M111 (2)

Welcome to XQ Math - Teacher Guide (2)

XQ Math - Mod 1 Project Overview

XQ Math - Mod 1 Module Overview

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.

M111 Student Facing Pre Task

M111 Student Facing Post Task

sleep data - Sheet1

M111 Pre Post Scoring Guide

M111 Task Analysis

M111 Task Analysis

M111 Class Summary File

M111 Class Summary File.docx

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.

Evidence of Learning 2024

Introduction to Performance Assessments

M111A Better Meals Student-Facing

M111A Better Meals Student-Facing

M111A Better Meals Teacher-Facing

M111A Better Meals Teacher-Facing

ESP M111A Better Meals Student-Facing

ESP M111A Better Meals Student-Facing

M111B Measuring Up Performance Task Teacher-Facing

M111B Measuring Up Performance Task Teacher-Facing

M111B Measuring Up Performance Task Student-Facing

M111B Measuring Up Performance Task Student-Facing

M111B Measuring Up Option A Scoring Guide

M111B Measuring Up Option B Scoring Guide

M111B Measuring Up Option C Scoring Guide

Assessment: Portfolio Resources

IM Portfolio M111

Assessment: Professional Development Resources

M111 Baseline 2024 w student work

Baseline PL Handout M111 2024 w student work

Baseline PL Handout M111 2024 w student work

M111 Baseline 2024 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.