Proportional Reasoning (Part 1) is available at the links above. Part 2 is available here.

In this packet, students will explore concepts in proportional reasoning, including ratios, rates, and proportions.

In Part 1, students will study the following topics:

• Part-whole, part-to-part ratios, and rates
• Equivalent ratios
• Double number lines, ratio tables, and bar models
• The language of proportional reasoning

In Part 2, students will build on what they learned in Part 1, and study the following topics:

• Connections between ratios, fractions, percents, and decimals
• Making comparisons between ratios
• Solving proportions

Prerequisites: There are no prerequisites to Proportional Reasoning, Part 1. As long as students are able to read this packet independently, they don’t have to study any other math packets first. Students should complete Proportional Reasoning, Part 1 before working on Proportional Reasoning, Part 2.

The Fast Track GRASP Math Packets are made available for teachers who work with students in distance learning, Fast Track Math classes, and traditional ABE/HSE classes. Click here for more information about other Math Packets.

If you are teaching with the packet, we recommend breaking it up into smaller pieces. We created a step by step guide for folks who are not sure how to break a PDF file into smaller chunks: Breaking Up is (not) Hard to Do.

If you use these materials with your students, please give us feedback on the experience (teacher survey, student survey). Your feedback on the packets will help us improve the materials, and support our students’ success.

Thank you!
Eric Appleton & Mark Trushkowsky (CUNY Adult Literacy/High School Equivalency Program)

Both the PDF and document versions here are the most up-to-date versions. We recommend checking this page regularly to see if there have been any version updates.

If you have any questions about the administration of a Fast Track Program or a GRASP Distance Learning Program, please contact Rosemary Matt, NYS Director of Accountability at Rosemary.Matt@cayuga-cc.edu.

Note: The Fast Track GRASP Math packets use a Creative Commons license of Attribution-NonCommercial 4.0 International (CC BY-NC 4.0), which means that they can be shared, copied and redistributed in any form, as long as the document retains attribution to NYSED and CUNY for their creation.

The Fast Track GRASP Math Packets were made possible through support from the New York State Education Department, Office of Adult Career and Continuing Education Services.