M100:QuantitativeReasoning
How long will it take to save up for a new phone? Is affordable housing distributed fairly? Math helps us answer questions like these and reason effectively in a variety of real-world situations, including designing a building, interpreting survey results, or comparing costs of credit card offers.
In M100 Quantitative Reasoning, you will:
• Strategically use tools like proportionality and percentages, geometry measurement, and data displays to make sense of and solve real-world problems
• Reason about quantities in different units and use formulas to solve problems, using technology as an aid for calculations
Quantitative reasoning is a critical tool that can lead to more sophisticated modeling with functions and geometry. It is also the bedrock of the mathematics of our daily lives and widely applicable to nearly every professional field.
Associated Badges
Prerequisites for This Badge
Concepts of addition, subtraction, multiplication, and division; fraction and decimal concepts; understanding of positive and negative numbers
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.
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.
M100 Learning Activities Teacher-Facing.pdf
Teacher guide for the sample activities provided with this badge.
M100 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.
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.
Baseline Professional Learning Handout
A handout to accompany the professional learning session for this badge.