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(Random) (2.D) Numeric Reasoning. 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;
(Random) (2.H) Numeric Reasoning. 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.
(Random) (3.A) Algebraic Reasoning. 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;
(Random) (3.B) Algebraic Reasoning. 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;
(Random) (3.H) Algebraic Reasoning. 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.
(Random) (4.H) Probabilistic and statistical reasoning. Identify limitations and lack of relevant information in studies reporting statistical information, especially when studies are reported in condensed form;
(Random) (4.J) Probabilistic and statistical reasoning. Identify potential misuses of statistics to justify particular conclusions, including assertions of a cause-and-effect relationship rather than an association, and missteps or fallacies in logical reasoning;
(Random) (4.K) Probabilistic and statistical reasoning. Describe strengths and weaknesses of sampling techniques, data and graphical displays, and interpretations of summary statistics and other results appearing in a study, including reports published in the media;
(Random) (4.L) Probabilistic and statistical reasoning. Determine the need for and purpose of a statistical investigation and what type of statistical analysis can be used to answer a specific question or set of questions;
(Random) (4.R) Probabilistic and statistical reasoning. Report results of statistical studies to a particular audience, including selecting an appropriate presentation format, creating graphical data displays, and interpreting results in terms of the question studied;