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Mathematical Models with Applications

Texas Mathematical Models with Applications

Video lessons and practice for every Mathematical Models with Applications topic. Aligned to Texas TEKS standards for high school math.

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ID

Strand & Expectation

StudyPug Topic

TX.MMA.2.A

Use rates and linear functions to solve problems involving personal finance and budgeting, including compensations and deductions

TX.MMA.3.A

Use formulas to generate tables to display series of payments for loan amortizations resulting from financed purchases

TX.MMA.4.B

Investigate and compare investment options, including stocks, bonds, annuities, certificates of deposit, and retirement plans

TX.MMA.4.C

Analyze types of savings options involving simple and compound interest and compare relative advantages of these options

TX.MMA.5.A

Use proportionality and inverse variation to describe physical laws such as Hook's Law, Newton's Second Law of Motion, and Boyle's Law

TX.MMA.5.B

Use exponential models available through technology to model growth and decay in areas, including radioactive decay

TX.MMA.6.A

Use similarity, geometric transformations, symmetry, and perspective drawings to describe mathematical patterns and structure in architecture

TX.MMA.6.B

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

TX.MMA.8.A

Determine the number of ways an event may occur using combinations, permutations, and the Fundamental Counting Principle

TX.MMA.8.C

Use experiments to determine the reasonableness of a theoretical model such as binomial or geometric

TX.MMA.9.A

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

TX.MMA.9.B

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

TX.MMA.9.C

Distinguish the purposes and differences among types of research, including surveys, experiments, and observational studies

TX.MMA.9.D

Use data from a sample to estimate population mean or population proportion

TX.MMA.9.E

Analyze marketing claims based on graphs and statistics from electronic and print media and justify the validity of stated or implied conclusions

TX.MMA.9.F

Use regression methods available through technology to model linear and exponential functions, interpret correlations, and make predictions

TX.MMA.10.A

Formulate a meaningful question, determine the data needed to answer the question, gather the appropriate data, analyze the data, and draw reasonable conclusions

What Is Mathematical Models with Applications?

Mathematical Models with Applications (MMA) is a Texas high school math course designed to show students how math works in the real world. It is aligned to the Texas Essential Knowledge and Skills (TEKS) and covers topics from personal finance and banking to geometry, trigonometry, probability, and statistics.

Personal Finance and Banking Topics

A large portion of MMA focuses on financial literacy. Students learn to use rates and linear functions to solve problems in personal budgeting, compensation, and deductions. The course also covers personal taxes, banking options including checking accounts and overdraft protection, and how to analyze credit options in retail purchasing.

  • Budgeting with linear functions and rates
  • Personal income taxes and deductions
  • Checking accounts, debit cards, and online banking fees
  • Loan amortization tables and financed purchases
  • Home financing: buying vs. renting
  • Automobile financing: buying vs. leasing
  • Insurance coverage options and rates
  • Investment options: stocks, bonds, annuities, CDs, and retirement plans
  • Simple and compound interest savings options

Mathematical Models: Functions and Physical Laws

Students explore how math describes the physical world. This includes proportionality and inverse variation applied to physical laws such as Hooke's Law, Newton's Second Law of Motion, and Boyle's Law. Exponential models are used to study growth and decay, including radioactive decay, and quadratic functions are applied to model motion.

Geometry and Measurement Applications

The geometry unit connects math to architecture, art, and real-world measurement. Students use similarity, geometric transformations, symmetry, and perspective drawings to describe mathematical patterns. Key skills include applying the Pythagorean Theorem and special right-triangle relationships, using trigonometric ratios to find distances and angle measures, and working with scale factors to analyze changes in surface area and volume.

  • Pythagorean Theorem and special right triangles
  • Trigonometric ratios and distances
  • Periodic motion modeled with trigonometric functions
  • Scale factors and proportional changes in 2D and 3D objects
  • Geometric transformations in art, music, and photography

Probability and Statistics

The probability and statistics unit teaches students to count outcomes using combinations, permutations, and the Fundamental Counting Principle. Students compare theoretical and empirical probability, use experiments to test theoretical models like binomial and geometric distributions, and interpret data from a wide variety of graphs including histograms, scatterplots, box-and-whisker plots, and dot plots.

  • Combinations, permutations, and the Fundamental Counting Principle
  • Theoretical vs. empirical probability
  • Binomial and geometric probability models
  • Measures of central tendency: mean, median, and mode
  • Variability: range, IQR, and standard deviation
  • Normal distributions and inferences
  • Surveys, experiments, and observational studies
  • Sample data and population estimates
  • Regression models: linear and exponential
  • Evaluating marketing claims using statistics

How StudyPug Supports MMA Students in Texas

StudyPug provides video lessons and practice problems for every topic covered in Mathematical Models with Applications. All content is aligned to Texas Essential Knowledge and Skills (TEKS). Students can find their topic, watch a short video lesson, and then practice with problems that include step-by-step solutions. Whether a student needs help with loan amortization, trigonometry, or reading a scatterplot, StudyPug has a lesson ready to watch anytime.