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Grade 12 Math Courses - Texas Curriculum

Discover Texas Grade 12 math courses, including Precalculus, Statistics, and Advanced Quantitative Reasoning. Prepare for college-level mathematics and real-world applications with our comprehensive curriculum.

Precalculus (P)

Mathematical Models with Applications (MMA)

Advanced Quantitative Reasoning (AQR)

Statistics (S)

Algebraic Reasoning (AR)

Texas Grade 12 Math Curriculum - Precalculus & Advanced Math

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ID
Strand & Expectation
StudyPug Topic
TX.AQR.2.A
Numeric reasoning: Use precision and accuracy in real-life situations related to measurement and significant figures
Upper and lower bound
Conversions between metric and imperial systems
Metric systems
Imperial systems
Conversions involving squares and cubic
TX.AQR.2.B
Numeric reasoning: Apply and analyze published ratings, weighted averages, and indices to make informed decisions
Median and mode
Mean
Range and outliers
Application of averages
TX.AQR.2.C
Numeric reasoning: Solve problems involving quantities that are not easily measured using proportionality
Direct variation
Joint and combined variation
Ratios
Rates
Proportions
TX.AQR.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
Similar triangles
Combination of SohCahToa questions
Law of sines
Law of cosines
Pythagorean theorem
TX.AQR.2.E
Numeric reasoning: Solve problems involving large quantities using combinatorics
Fundamental counting principle
Permutations
Combinations
Factorial notation
Path counting problems
Problems involving both permutations and combinations
TX.AQR.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
Adding and subtracting matrices
Scalar multiplication of matrices
Matrix multiplication
Notation of matrices
The three types of matrix row operations
TX.AQR.2.G
Numeric reasoning: Analyze various voting and selection processes to compare results in given situations
Determining probabilities using tree diagrams and tables
Probability of independent events
TX.AQR.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
Finance: Compound interest
Arithmetic sequences
Geometric sequences
Continuous growth and decay
Logarithmic scale: Richter scale (earthquake)
Logarithmic scale: pH scale
Logarithmic scale: dB scale
TX.AQR.3.A
Algebraic reasoning: 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
Money related questions in linear equations
Box-and-whisker plots and scatter plots
TX.AQR.3.C
Algebraic reasoning: Use arrays to efficiently manage large collections of data and add, subtract, and multiply matrices to solve applied problems
Exponential growth and decay by a factor
Exponential decay: Half-life
Exponential growth and decay by percentage
TX.AQR.3.D
Algebraic reasoning: Solve geometric problems involving indirect measurement
Cosine graph: y = cos x
Tangent graph: y = tan x
Cotangent graph: y = cot x
Secant graph: y = sec x
Cosecant graph: y = csc x
Graphing transformations of trigonometric functions
Determining trigonometric functions given their graphs
TX.AQR.3.E
Algebraic reasoning: Represent and analyze mathematical models for various voting and selection processes to compare results in given situations
Evaluating piecewise functions
Graphing piecewise linear functions
Graphing piecewise non-linear functions
TX.AQR.3.F
Algebraic reasoning: Use regression methods available through technology to model linear and exponential functions, interpret correlations, and make predictions
Regression analysis
Equation of the best fit line
Taxes, discounts, tips and more
Simple interest
TX.AQR.3.G
Algebraic reasoning: Generate and use linear, exponential, logistic, and trigonometric functions to model and solve problems involving periodic data
Graphing exponential functions
Graphing logarithmic functions
Sine graph: y = sin x
TX.AQR.3.H
Algebraic reasoning: Create, represent, and analyze mathematical models for various types of income calculations to determine the best option for a given situation
Demand, revenue, cost & profit
Finance: Future value and present value
TX.AQR.3.I
Algebraic reasoning: Create, represent, and analyze mathematical models for expenditures, including those involving credit, to determine the best option for a given situation
Marginal revenue, and maximizing revenue & average revenue
TX.AQR.3.J
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
Consumer and producer surplus
Continuous money flow
TX.AQR.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
Probability with Venn diagrams
Reading and drawing Venn diagrams
TX.AQR.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
Addition rule for "OR"
TX.AQR.4.C
Probabilistic and statistical reasoning: Calculate conditional probabilities and probabilities of compound events using tree diagrams, Venn diagrams, area models, and formulas
Multiplication rule for "AND"
Conditional probability
TX.AQR.4.E
Probabilistic and statistical reasoning: Use probabilities to make and justify decisions about risks in everyday life
Probability involving permutations and combinations
Probability distribution - histogram, mean, variance & standard deviation
TX.AQR.4.F
Probabilistic and statistical reasoning: Calculate expected value to analyze mathematical fairness, payoff, and risk
Properties of expectation
TX.AQR.4.G
Probabilistic and statistical reasoning: Determine the validity of logical arguments that include compound conditional statements by constructing truth tables
Truth tables
Conditionals
Inverses, converses, and contrapositives
TX.AQR.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
Census and bias
Influencing factors in data collection
TX.AQR.4.I
Probabilistic and statistical reasoning: Interpret and compare statistical results using appropriate technology given a margin of error
Margin of error
TX.AQR.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
Sampling methods
Shapes of distributions
TX.AQR.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
Null hypothesis and alternative hypothesis
Organizing data
TX.AQR.4.N
Probabilistic and statistical reasoning: Identify the variables to be used in a study
Bivariate, scatter plots and correlation
Relationship between two variables
Understand relations between x- and y-intercepts
Domain and range of a function
Identifying functions
TX.AQR.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
Frequency distribution and histograms
Frequency polygons
Stem and leaf plots
Reading and drawing bar graphs
Reading and drawing histograms
Reading and drawing line graphs
Frequency tables and dot plots
TX.AQR.4.Q
Probabilistic and statistical reasoning: Analyze possible sources of data variability, including those that can be controlled and those that cannot be controlled
Spread of a data set - standard deviation & variance
TX.AQR.4.S
Probabilistic and statistical reasoning: Justify the design and the conclusion(s) of statistical studies, including the methods used
Proving claims
Point estimates
Confidence levels and critical values
Making a confidence interval

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