Tools of Algebra: Linear Functions (Part 1) is available at the link above. Part 2 is available here.

Note: When using the packets with your students, we recommend breaking the packets up into assignments. 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.

Mathematics is the study of patterns. These packets introduce students to linear growth patterns and to linear functions used to describe those patterns. Students study patterns of growth in numbers and visual patterns, and then apply this understanding to function machines and linear functions in real-world situations. They are introduced to four different views of functions (written description, tables, graphs, and equations). Each of these representations are connected so that students have a well-rounded understanding of functions and are able to move between them easily. In Part 2 students spend a significant amount of time studying rate of change (slope) and starting amount (y-intercept) in real-world contexts, using all four representations of linear functions. We recommend, if possible, that students complete The Tools of Algebra: Expressions, Equations, & Inequalities and Rigid Transformations: Shapes on a Plane (Part 1) before working on this packet. Though some review is included, we assume students understand the basics of variables, data tables, equations, and graphing on the coordinate grid.

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.

The downloadable PDF version here includes corrections to previous versions. We recommend checking this page regularly to see if there have been any version updates.

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. The packets provided practice in high-priority topic areas by developing underlying concepts as an introduction to each topic. Students then are given practice applying what they have learned in context. Students work through HSE-style questions followed by guidance on test-taking skills and explanation of answer choice design. Finally, an optional section on the language of the math topic is provided. We hope that this section is helpful for all students, but especially useful for lower-level students and English Language Learners. (Click here for more information about other Math Packets)

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

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.