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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.MMA.2.A
Mathematical modeling in personal finance: Use rates and linear functions to solve problems involving personal finance and budgeting, including compensations and deductions
Rate of change
Money related questions in linear equations
TX.MMA.3.A
Mathematical modeling in personal finance: Use formulas to generate tables to display series of payments for loan amortizations resulting from financed purchases
Continuous money flow
Unknown number related questions in linear equations
Applications of linear equations
Rates
Proportions
Taxes, discounts, tips and more
Simple interest
TX.MMA.4.B
Mathematical modeling in personal finance: Investigate and compare investment options, including stocks, bonds, annuities, certificates of deposit, and retirement plans
Finance: Future value and present value
TX.MMA.4.C
Mathematical modeling in personal finance: Analyze types of savings options involving simple and compound interest and compare relative advantages of these options
Finance: Compound interest
Continuous growth and decay
TX.MMA.5.A
Mathematical modeling in science and engineering: Use proportionality and inverse variation to describe physical laws such as Hook's Law, Newton's Second Law of Motion, and Boyle's Law
Direct variation
Inverse variation
TX.MMA.5.B
Mathematical modeling in science and engineering: Use exponential models available through technology to model growth and decay in areas, including radioactive decay
Exponential decay: Half-life
Exponential growth and decay by a factor
Exponential growth and decay by percentage
TX.MMA.5.C
Mathematical modeling in science and engineering: Use quadratic functions to model motion
Applications of quadratic functions
Characteristics of quadratic functions
Finding the quadratic functions for given parabolas
TX.MMA.6.A
Mathematical modeling in science and engineering: Use similarity, geometric transformations, symmetry, and perspective drawings to describe mathematical patterns and structure in architecture
Similar triangles
Similar polygons
Combining transformations of functions
Line symmetry
Rotational symmetry and transformations
Enlargements and reductions with scale factors
Scale diagrams
TX.MMA.6.B
Mathematical modeling in science and engineering: Use scale factors with two-dimensional and three-dimensional objects to demonstrate proportional and non-proportional changes in surface area and volume as applied to fields
Similar solids
Surface area and volume of prisms
Surface area and volume of pyramids
Surface area and volume of cylinders
Surface area and volume of cones
Surface area and volume of spheres
TX.MMA.6.C
Mathematical modeling in science and engineering: Use the Pythagorean Theorem and special right-triangle relationships to calculate distances
Solving expressions using 45-45-90 special right triangles
Solving expressions using 30-60-90 special right triangles
Pythagorean theorem
Using the pythagorean relationship
Applications of pythagorean theorem
TX.MMA.6.D
Mathematical modeling in science and engineering: Use trigonometric ratios to calculate distances and angle measures as applied to fields
Combination of SohCahToa questions
Use sine ratio to calculate angles and sides (Sin = o / h)
Use cosine ratio to calculate angles and sides (Cos = a / h)
Word problems relating ladder in trigonometry
Word problems relating guy wire in trigonometry
Other word problems relating angles in trigonometry
Use tangent ratio to calculate angles and sides (Tan = o / a)
TX.MMA.7.A
Mathematical modeling in fine arts: Use trigonometric ratios and functions available through technology to model periodic behavior in art and music
Ferris wheel trig problems
Tides and water depth trig problems
Sine graph: y = sin x
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.MMA.8.A
Mathematical modeling in social sciences: Determine the number of ways an event may occur using combinations, permutations, and the Fundamental Counting Principle
Fundamental counting principle
Permutations
Combinations
Factorial notation
Path counting problems
Problems involving both permutations and combinations
TX.MMA.8.B
Mathematical modeling in social sciences: Compare theoretical to empirical probability
Comparing experimental and theoretical probability
Organizing outcomes
Probability of independent events
TX.MMA.8.C
Mathematical modeling in social sciences: Use experiments to determine the reasonableness of a theoretical model such as binomial or geometric
Binomial distribution
Negative binomial distribution
Mean and standard deviation of binomial distribution
Geometric distribution
TX.MMA.9.A
Mathematical modeling in social sciences: Interpret information from various graphs, including line graphs, bar graphs, circle graphs, histograms, scatterplots, dot plots, stem-and-leaf plots, and box and whisker plots, to draw conclusions from the data and determine the strengths and weaknesses of conclusions
Frequency distribution and histograms
Frequency polygons
Stem and leaf plots
Bivariate, scatter plots and correlation
Organizing data
Reading and drawing bar graphs
Reading and drawing histograms
Reading and drawing line graphs
Box-and-whisker plots and scatter plots
Frequency tables and dot plots
TX.MMA.9.B
Mathematical modeling in social sciences: Analyze numerical data using measures of central tendency (mean, median, and mode) and variability (range, interquartile range or IQR, and standard deviation) in order to make inferences with normal distributions
Center of a data set: mean, median, mode
Spread of a data set - standard deviation & variance
Normal distribution and continuous random variable
Median and mode
Mean
Range and outliers
Application of averages
Introduction to normal distribution
Z-scores and random continuous variables
TX.MMA.9.C
Mathematical modeling in social sciences: Distinguish the purposes and differences among types of research, including surveys, experiments, and observational studies
Sampling methods
Influencing factors in data collection
TX.MMA.9.D
Mathematical modeling in social sciences: Use data from a sample to estimate population mean or population proportion
Sampling distributions
Central limit theorem
Margin of error
Making a confidence interval
TX.MMA.9.E
Mathematical modeling in social sciences: Analyze marketing claims based on graphs and statistics from electronic and print media and justify the validity of stated or implied conclusions
Census and bias
TX.MMA.9.F
Mathematical modeling in social sciences: 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
Graphing exponential functions
Graphing transformations of exponential functions
Finding an exponential function given its graph
TX.MMA.10.A
Mathematical modeling in social sciences: Formulate a meaningful question, determine the data needed to answer the question, gather the appropriate data, analyze the data, and draw reasonable conclusions
Point estimates
Confidence levels and critical values

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