Understanding Functions Workbook

Kimberly·

Mathematics

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At a Glance

Grade Level9th Grade

SubjectMathematics

Original Prompt

Sheltered Lesson Plan – NC Math 1 Focus: Understanding Functions as Input → Output Relationships Lesson Title: Understanding Functions: Input, Output, Domain, Range, and the Vertical Line Test ⸻ Content Objective: Students will build understanding that a function assigns each input (domain) exactly one output (range), interpret function notation f(x) as the output corresponding to an input, and apply the vertical line test to determine if a relation is a function. ⸻ Language Objective (W

This resource explores the concept of functions in mathematics, perfect for grasping foundational ideas in the subject. It defines functions as relations where each input corresponds to exactly one output, utilizing the analogy of a vending machine to illustrate this relationship. Key vocabulary is introduced, including terms such as 'domain', 'range', and 'function notation'. The document also covers the vertical line test (VLT), a method to determine whether a graph represents a function, emphasizing that any vertical line crossing the graph more than once indicates a non-function. Various examples and exercises guide learners through evaluating and identifying functions, both graphically and numerically. The resource combines explanations with hands-on practice, including partner activities and independent exercises to enhance understanding of functions and their properties.