Introduction to Functions and Their Properties

Akilah·

Functions

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SubjectFunctions

Original Prompt

Hello, I teach grades 8-12 intervention to the OLS-E; my students have learning, processing and other disabilities. My students have cross-categorical needs. Here is the order of my day; 1st period is math part 1, 2nd period ELA; 3rd period Reading; 4th period planning/lunch (no students during this time); 5th period math part 2; 6th period science and 7th period social studies. We have been learning about reading and interpreting bar graphs, functions and using a Desmos calculator for graphin...

This learning resource introduces the concept of functions in mathematics, emphasizing the definition that a function is a relation where each input (or domain) corresponds to exactly one output (or range). The material uses relatable analogies, such as a vending machine, to explain how functions operate. It details the importance of determining whether a relation is a function through various examples and introduces the Vertical Line Test as a simple method to visually assess functions represented on graphs. Students engage in guided practice by analyzing different examples, completing tables based on functions, and exploring relationships by matching equations to their respective tables and graphs. Additional exercises help reinforce understanding of domain and range, the behavior of linear and quadratic functions, and practical use of graphing tools like Desmos. The resource concludes with a self-assessment section that challenges students to apply their knowledge of functions in various scenarios, encouraging deeper comprehension and fluency in identifying and working with functions in mathematical contexts.