TEKS: Chapter 111. Mathematics See All Teacher Resources

111.44.c.3

(3) Algebraic reasoning (expressions, equations, and generalized relationships). The student applies the process standards in mathematics to create and analyze mathematical models of everyday situations to make informed decisions related to earning, investing, spending, and borrowing money by appropriate, proficient, and efficient use of tools, including technology. The student uses mathematical relationships to make connections and predictions. The student judges the validity of a prediction and uses mathematical models to represent, analyze, and solve dynamic real-world problems. The student is expected to:

• (A) collect numerical bivariate data to create a scatterplot, select a function to model the data, justify the model selection, and use the model to interpret results and make predictions;

• (B) describe the degree to which uncorrelated variables may or may not be related and analyze situations where correlated variables do or do not indicate a cause-and-effect relationship;

• (C) determine or analyze an appropriate growth or decay model for problem situations, including linear, exponential, and logistic functions;

• (D) determine or analyze an appropriate cyclical model for problem situations that can be modeled with periodic functions;

• (E) determine or analyze an appropriate piecewise model for problem situations;

• (F) create, represent, and analyze mathematical models for various types of income calculations to determine the best option for a given situation;

• (G) create, represent, and analyze mathematical models for expenditures, including those involving credit, to determine the best option for a given situation; and

• (H) create, represent, and analyze mathematical models and appropriate representations, including formulas and amortization tables, for various types of loans and investments to determine the best option for a given situation.