Tools of Algebra: Nonlinear Functions, Part 1


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

Note: If you are teaching remote online classes during Covid-19 and 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.

These packets help students use what they learn in Linear Functions to support understanding of nonlinear growth in quadratic and exponential functions. Students recognize patterns of growth in number series, apply this understanding to function tables, then learn to use rules and equations, and then graph functions. Each of these representations are connected so that students have a well-rounded understanding of functions. Finally, these functions are used as tools to understand growth and relationships in the world, such as gravity and acceleration, braking distance in a car, population growth, and growth of contagious diseases. We recommend, if possible, that students complete Tools of Algebra: Expressions, Equations, and Inequalities and Tools of Algebra: Linear Functions before working on this packet. Though some review is included, we assume students understand the basics of variables, exponents, data tables, equations, and graphing.

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 will include corrections to previous versions. We recommend checking this page regularly to see if there have been any version updates.

V.1.5, 10/13/2023:
Added Assessment and Placement Recommendations.
Revised Welcome! letter for consistency with other packets.
Moved vocabulary graphic organizer to the Vocabulary Review section for consistency with other packets.

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!
Eric Appleton & Mark Trushkowsky (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.