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FLORIDA Pre-Algebra Teacher’s Guide Vol. A

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Use this guide to accompany Lesson 6.02, Semester A. Relations LESSON GOALS • Represent relations using sets of ordered pairs, arrow diagrams, tables, and graphs. • Find the domain and range of a relation. FLORIDA STANDARDS • MAFS.8.F.1.1 Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output. PACING One class period, approximately 60 minutes CONTENT BACKGROUND Lessons 6.02, 6.03, and 6.04 work together to introduce students to relations and functions. In Lesson 6.02, students explore the concept of a relation and how it relates inputs and outputs. They discover that relations can be represented in several ways. Arrow diagrams use arrows to pair inputs and outputs, and a table uses columns to show the pairs. Ordered pairs show the input as the first number and the output as the second number. Finally, these ordered pairs can be graphed on a coordinate plane where the horizontal distance from 0 represents the input and the vertical distance from 0 represents the output. In Lesson 6.03, students expand their understanding of relations to include a special case: the function. Fundamental to much of their future mathematics, the concept of a function can be explored through the same representations as a relation, as it is a relation. The function, however, can only have one dependent variable for each independent variable. In practicality, a function only has one y-value for each x-value. As a result, in a set of ordered pairs or a table, a function will not have any repeated x-values. An arrow diagram will have only one arrow extending from MATERIALS • Reference Guide pages 208–210 • Practice Activity Book pages 181–187 • overview and Toolkit presentations KEYWORDS Students can preview definitions of keywords hyperlinked throughout the lesson. • domain • input • output • range • relation Rel ATIoNS 279

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