TEKS: Chapter 111. Mathematics See All Teacher Resources

111.44.c.2

(2) Numeric reasoning. The student applies the process standards in mathematics to generate new understandings by extending existing knowledge. The student generates new mathematical understandings through problems involving numerical data that arise in everyday life, society, and the workplace. The student extends existing knowledge and skills to analyze real-world situations. The student is expected to:

• (A) use precision and accuracy in real-life situations related to measurement and significant figures;

• (B) apply and analyze published ratings, weighted averages, and indices to make informed decisions;

• (C) solve problems involving quantities that are not easily measured using proportionality;

• (D) solve geometric problems involving indirect measurement, including similar triangles, the Pythagorean Theorem, Law of Sines, Law of Cosines, and the use of dynamic geometry software;

• (E) solve problems involving large quantities using combinatorics;

• (F) use arrays to efficiently manage large collections of data and add, subtract, and multiply matrices to solve applied problems, including geometric transformations;

• (G) analyze various voting and selection processes to compare results in given situations; and

• (H) select and apply an algorithm of interest to solve real-life problems such as problems using recursion or iteration involving population growth or decline, fractals, and compound interest; the validity in recorded and transmitted data using checksums and hashing; sports rankings, weighted class rankings, and search engine rankings; and problems involving scheduling or routing situations using vertex-edge graphs, critical paths, Euler paths, and minimal spanning trees and communicate to peers the application of the algorithm in precise mathematical and nontechnical language.