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Advanced Quantitative Reasoning

Texas 12th Grade Math Curriculum

Video lessons and practice for every 12th grade math topic. Aligned to Texas Essential Knowledge and Skills (TEKS) standards. Master quantitative reasoning skills for college and career.

Texas 12th Grade Math Curriculum | StudyPugHelp

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ID

Strand & Expectation

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.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.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.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