ID | Standard | StudyPug Topic |
|---|---|---|
TX.AQR.2.A | Use precision and accuracy in real-life situations related to measurement and significant figures |
TX.AQR.2.B | Apply and analyze published ratings, weighted averages, and indices to make informed decisions |
TX.AQR.2.C | Solve problems involving quantities that are not easily measured using proportionality |
TX.AQR.2.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 |
TX.AQR.2.E | Solve problems involving large quantities using combinatorics |
TX.AQR.2.F | Use arrays to efficiently manage large collections of data and add, subtract, and multiply matrices to solve applied problems, including geometric transformations |
TX.AQR.2.G | Analyze various voting and selection processes to compare results in given situations |
TX.AQR.2.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 |
TX.AQR.3.A | Create and use mathematical models to represent and analyze personal financial situations, and to solve problems involving planning, managing, and paying federal and state taxes |
TX.AQR.3.C | Use arrays to efficiently manage large collections of data and add, subtract, and multiply matrices to solve applied problems |
TX.AQR.3.D | Solve geometric problems involving indirect measurement |
TX.AQR.3.E | Represent and analyze mathematical models for various voting and selection processes to compare results in given situations |
TX.AQR.3.F | Use regression methods available through technology to model linear and exponential functions, interpret correlations, and make predictions |
TX.AQR.3.G | Generate and use linear, exponential, logistic, and trigonometric functions to model and solve problems involving periodic data |
TX.AQR.3.H | Create, represent, and analyze mathematical models for various types of income calculations to determine the best option for a given situation |
TX.AQR.3.I | Create, represent, and analyze mathematical models for expenditures, including those involving credit, to determine the best option for a given situation |
TX.AQR.3.J | 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 |
TX.AQR.4.A | Use a two-way frequency table as a sample space to identify whether two events are independent and to interpret the results |
TX.AQR.4.B | Use the Addition Rule, P(A or B) = P(A) + P(B) - P(A and B), in mathematical and real-world problems |
TX.AQR.4.C | Calculate conditional probabilities and probabilities of compound events using tree diagrams, Venn diagrams, area models, and formulas |
TX.AQR.4.E | Use probabilities to make and justify decisions about risks in everyday life |
TX.AQR.4.F | Calculate expected value to analyze mathematical fairness, payoff, and risk |
TX.AQR.4.G | Determine the validity of logical arguments that include compound conditional statements by constructing truth tables |
TX.AQR.4.H | Identify limitations and lack of relevant information in studies reporting statistical information, especially when studies are reported in condensed form |
TX.AQR.4.I | Interpret and compare statistical results using appropriate technology given a margin of error |
TX.AQR.4.K | 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 |
TX.AQR.4.L | 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 |
TX.AQR.4.N | Identify the variables to be used in a study |
TX.AQR.4.P | Create data displays for given data sets to investigate, compare, and estimate center, shape, spread, and unusual features of the data |
TX.AQR.4.Q | Analyze possible sources of data variability, including those that can be controlled and those that cannot be controlled |
TX.AQR.4.S | Justify the design and the conclusion(s) of statistical studies, including the methods used |