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(Random) (2.A) Numeric Reasoning. Use precision and accuracy in real-life situations related to measurement and significant figures;
(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.F) Numeric Reasoning. Use arrays to efficiently manage large collections of data and add, subtract, and multiply matrices to solve applied problems, including geometric transformations;
(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.C) Algebraic Reasoning. Determine or analyze an appropriate growth or decay model for problem situations, including linear, exponential, and logistic functions;
(Random) (3.D) Algebraic Reasoning. Determine or analyze an appropriate cyclical model for problem situations that can be modeled with periodic functions;
(Random) (3.F) Algebraic Reasoning. Create, represent, and analyze mathematical models for various types of income calculations to determine the best option for a given situation;
(Random) (3.G) Algebraic Reasoning. Create, represent, and analyze mathematical models for expenditures, including those involving credit, to determine the best option for a given situation; and
(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.A) Probabilistic and statistical reasoning. Use a two-way frequency table as a sample space to identify whether two events are independent and to interpret the results;
(Random) (4.B) Probabilistic and statistical reasoning. Use the Addition Rule, P(A or B) = P(A) + P(B) - P(A and B), in mathematical and real-world problems;
(Random) (4.C) Probabilistic and statistical reasoning. Calculate conditional probabilities and probabilities of compound events using tree diagrams, Venn diagrams, area models, and formulas;
(Random) (4.D) Probabilistic and statistical reasoning. Interpret conditional probabilities and probabilities of compound events by analyzing representations to make decisions in problem situations;
(Random) (4.G) Probabilistic and statistical reasoning. Determine the validity of logical arguments that include compound conditional statements by constructing truth tables;
(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.I) Probabilistic and statistical reasoning. Interpret and compare statistical results using appropriate technology given a margin of error; (results of polls is an example)
(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.M) Probabilistic and statistical reasoning. Identify the population of interest for a statistical investigation, select an appropriate sampling technique, and collect data;
(Random) (4.O) Probabilistic and statistical reasoning. Determine possible sources of statistical bias in a study and how bias may affect the validity of the results;
(Random) (4.P) Probabilistic and statistical reasoning. Create data displays for given data sets to investigate, compare, and estimate center, shape, spread, and unusual features of the data;
(Random) (4.Q) Probabilistic and statistical reasoning. Analyze possible sources of data variability, including those that can be controlled and those that cannot be controlled;
(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;
(Random) (4.S) Probabilistic and statistical reasoning. Justify the design and the conclusion(s) of statistical studies, including the methods used; and
(Random) (4.T) Probabilistic and statistical reasoning. Communicate statistical results in oral and written formats using appropriate statistical and nontechnical language.
