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Determine if a Function is Linear

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Determine if a Function is Linear

TEKS Math: 8.5.H

(H) Identify examples of proportional and non-proportional functions that arise from mathematical and real-world problems

CCSS Math: 8.F.3

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 = s2 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.

This functions lesson teaches students how to determine if a function is linear. The lesson includes research-based strategies and strategic questions that prepare students for assessments. In this lesson, students will learn to determine whether or not a function is linear or not.  Students will look at a wide variety of functions, graphs, and ordered pairs to determine whether they describe linear functions.

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Standard Alignments:

TEKS Math: 8.5.H

(H) Identify examples of proportional and non-proportional functions that arise from mathematical and real-world problems

CCSS Math: 8.F.3

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 = s2 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.


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