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 TITLE 19 EDUCATION PART 2 TEXAS EDUCATION AGENCY CHAPTER 111 TEXAS ESSENTIAL KNOWLEDGE AND SKILLS FOR MATHEMATICS SUBCHAPTER C HIGH SCHOOL RULE §111.48 Algebraic Reasoning, Adopted 2015 (One Credit)
 (D) represent and solve systems of two linear equations arising from mathematical and real-world situations using matrices; and     (E) represent and solve systems of three linear equations arising from mathematical and real-world situations using matrices and technology.   (6) Number and algebraic methods. The student applies mathematical processes to estimate and determine solutions to equations resulting from functions and real-world applications with fluency. The student is expected to:     (A) estimate a reasonable input value that results in a given output value for a given function, including quadratic, rational, and exponential functions;     (B) solve equations arising from questions asked about functions that model real-world applications, including linear and quadratic functions, tabularly, graphically, and symbolically; and     (C) approximate solutions to equations arising from questions asked about exponential, logarithmic, square root, and cubic functions that model real-world applications tabularly and graphically.   (7) Modeling from data. The student applies mathematical processes to analyze and model data based on real-world situations with corresponding functions. The student is expected to:     (A) represent domain and range of a function using interval notation, inequalities, and set (builder) notation;     (B) compare and contrast between the mathematical and reasonable domain and range of functions modeling real-world situations, including linear, quadratic, exponential, and rational functions;     (C) determine the accuracy of a prediction from a function that models a set of data compared to the actual data using comparisons between average rates of change and finite differences such as gathering data from an emptying tank and comparing the average rate of change of the volume or the second differences in the volume to key attributes of the given model;     (D) determine an appropriate function model, including linear, quadratic, and exponential functions, for a set of data arising from real-world situations using finite differences and average rates of change; and     (E) determine if a given linear function is a reasonable model for a set of data arising from a real-world situation. Source Note: The provisions of this §111.48 adopted to be effective May 31, 2015, 40 TexReg 3146

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