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Grade Level/ Course: 8th Grade Standard with code: 8.F.3 Interpret the equation y=mx+b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear. For example, the function A=s 2 giving the area of a square as a function of its side length is not linear because its graph contains the points (1,1), (2,4), and (3,9), which are not on a straight line. Domain: Functions Cluster: Define, evaluate & compare functions Type: ______Knowledge ___X____Reasoning Knowledge Targets Recognize that a linear function is graphed as a straight line. ______Performance Skill ______Product Reasoning Targets Compare the characteristics of linear and nonlinear functions using various representations. Performance Skills Targets Product Targets Recognize the equation y=mx+b is the equation of a function whose graph is a straight line where m is the slope and b is the y-intercept. Provide examples of nonlinear functions using multiple representations. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. Look for and make use of structure. Look for and express regularity in repeated reasoning. Copyright © 2011 Kentucky Department of Education The content of this document constitutes original works of authorship owned by the Kentucky Department of Education (KDE) and may not be reproduced without the express, written permission of the KDE.