M112:ModelingwithData:Two-VariableMeasurementData
How does national life expectancy correlate with national poverty levels? Some important questions about the world aren't just about one variable in isolation — they're about how two variables relate to each other. The tools and methods of statistics with two-variable measurement data can help us better understand our world, address the challenges of our time, and advocate for change.
In M112 Modeling with Two-Variable Measurement Data, you will:
• Pose and analyze meaningful statistical questions that yield two-variable measurement data
• Reason with scatter plots, equation models, and quantitative methods to draw conclusions and generate new questions
• Use technology to create and analyze scatter plots, investigating patterns of association between two measured quantities and creating linear equation models where appropriate
Examples of careers that use M112 concepts: statistics, psychology, biology, and medicine.
Associated Badges
Prerequisites for This Badge
Learning Goals
Content & Practice Expectations
Each badge framework describes the mathematics skills and understandings that students will need to demonstrate to earn each badge through a set of Content & Practice Expectations (CPEs).
Alignment Guidance
Guidance for aligning badge standards (CPEs) to your existing curriculum and mathematical standards can be found in the documents shared below.
Points of Emphasis
This document highlights key mathematical concepts that should be emphasized in this badge.
Intro to Alignment Guidance
This document describes the structure of the alignment guidance documents provided with each badge.
Alignment Guidance
Guidance for aligning this badge to the open-source Illustrative Mathematics (IM) curriculum.
Intersection of Badge Content with CCSS Clusters
A mapping of each badge to the relevant Common Core State Standards for Mathematics (CCSSM).
Curricular Resources
Learning Activities
These resources provide learning activities that can supplement traditional coursework.
Learning Principles
Descriptions of the XQ Math Badging Learning Principles, which should undergird instructional materials.
M112 Learning Activities Teacher-Facing.pdf
Teacher guide for the sample activities provided with this badge.
M112 Learning Activities Student-Facing.docx
Student-facing worksheets provided for classroom implementation of the sample learning activities.
Assessments
Introduction to Badge Assessments
This document provides an overview of the different badging forms of assessment.
Pre-/Post-Task
These tasks should be administered before instruction begins on a new badge and again as badge instruction comes to a close. The pre-task gives students an opportunity to see where their learning is headed, identify any relevant background knowledge or skills they already possess, and establish a starting point for the badge. The post-task provides an opportunity for students to demonstrate what they have learned and compare their new thinking to their original responses. Together, these tasks help students recognize their growth over time while providing teachers with meaningful information to guide instruction and support learning.
M112 Pre-Task Student-Facing.pdf
M112 Post-Task Student-Facing.pdf
M112 Data.pdf
M112 Pre-/Post-Scoring Guide.pdf
Guidance for scoring the pre-task for this badge (prior to implementing the full unit of study).
Pre-/Post-Task Analysis and Summary
A tool for analyzing class performance on badge pre- and post-tasks.
Performance Assessments
Each task has a teacher guide, scoring guidance, and student versions (docx format) in English and Spanish.
Portfolio Resources
A portfolio of evidence consists of student-produced artifacts that demonstrate proficiency against a badge’s CPEs. The portfolio development process involves students selecting and reflecting on artifacts that showcase their understanding of badge CPEs, followed by iterative teacher review and student-teacher conferencing until the work demonstrates proficiency.
Professional Learning Resources
Download a sample Professional Learning presentation for this badge that you may copy and customize to suit your needs. When available, samples of student work are provided for discussion.
Baseline Professional Learning
A modifiable presentation to introduce teachers to key concepts of math badging, illustrated through sample math tasks for this badge.
Baseline Professional Learning - Student Work
A collection of student work samples with teacher feedback, to aide in assessment of student learning for this badge.