Original PromptPlease create a one-page set of guided notes and 10 practice problems for Algebra I section 4.3 - Patterns and Non-linear Functions. Please include the section number in the title.Then please create a separate page of 15 independent practice problems. A substitute teacher should be able to send these to the printer.
This learning resource focuses on linear and non-linear functions, helping students to identify, analyze, and differentiate between these two types of functions using tables and graphical representations. The document provides thorough explanations of linear functions, which create straight lines on graphs and have a constant rate of change, versus non-linear functions, which do not follow a straight path and exhibit a varying rate of change. To reinforce understanding, it includes examples, guided notes, and practice exercises where students categorize and analyze different representations of functions, find patterns in data tables, and explore graphs. The resource emphasizes testing for linearity through calculating first differences in value changes and checking consistency in the rate of change. Additionally, it encourages independent practice with a variety of exercises, including sketching non-linear functions and creating their own non-linear equations. Overall, this document serves as a comprehensive guide to understanding the characteristics and behaviors of linear and non-linear functions.