Discover how the study of repeating patterns and number sequences can lead to ideas of functions, learn how to read tables and graphs to interpret phenomena of change, and use algebraic notation to write function rules.

College-level math courses for elementary and middle-school teachers. "Patterns, functions, and algebra" explores the "big ideas" in algebraic thinking, such as finding, describing, and using patterns; using functions to make predictions; understanding linearity and proportional reasoning; understanding non-linear functions; and understanding and exploring algebraic structure.

Algebra, patterns, functions, algorithms, proportional reasoning

Introduces students in pre-algebra and algebra to the fundamental concept of function and its multiple representations. Use these progressively paced activities as either an introductory unit or as specialized review. Recognize geometric patterns and number patterns, use T-tables to record the sequences of patterns, graph linear and non-linear functions, write formulas in fuction and x-y notation, and navigate between multiple forms of function.

This series brings students who have gaps in their understanding of math skills and concepts up to speed. "Low Gear" lessons review the basics; "High Gear" lessons extend understanding. 96-page work texts are built around NCTM standards. Units include: Numeric and Visual Patterns; Working with Patterns; Representing Data; Working with Variables; Equations; Solving Linear Equations; Solving Inequalities; Using Formulas.