Mathematical Models with Applications

Other Texas Mathematics sets

• Grade K
• Grade 1
• Grade 2
• Grade 3
• Grade 4
• Grade 5
• Grade 6
• Grade 7
• Algebra I (2012)
• Grade 8
• Algebra II
• Algebraic Reasoning
• Discrete Mathematics
• Grade 9
• Statistics
• Advanced Quantitative Reasoning
• Geometry (2012)
• Grades 10, 11, 12
• Independent Study in Mathematics
• Precalculus

The student uses mathematical processes with graphical and numerical techniques to study patterns and analyze data related to personal financeMMA.9-12.2

use rates and linear functions to solve problems involving personal finance and budgeting, including compensations and deductionsMMA.9-12.2.A

solve problems involving personal taxesMMA.9-12.2.B

analyze data to make decisions about banking, including options for online banking, checking accounts, overdraft protection, processing fees, and debit card/ATM feesMMA.9-12.2.C

The student uses mathematical processes with algebraic formulas, graphs, and amortization modeling to solve problems involving creditMMA.9-12.3

use formulas to generate tables to display series of payments for loan amortizations resulting from financed purchasesMMA.9-12.3.A

analyze personal credit options in retail purchasing and compare relative advantages and disadvantages of each optionMMA.9-12.3.B

use technology to create amortization models to investigate home financing and compare buying a home to renting a homeMMA.9-12.3.C

use technology to create amortization models to investigate automobile financing and compare buying a vehicle to leasing a vehicleMMA.9-12.3.D

The student uses mathematical processes with algebraic formulas, numerical techniques, and graphs to solve problems related to financial planningMMA.9-12.4

analyze and compare coverage options and rates in insuranceMMA.9-12.4.A

investigate and compare investment options, including stocks, bonds, annuities, certificates of deposit, and retirement plansMMA.9-12.4.B

analyze types of savings options involving simple and compound interest and compare relative advantages of these optionsMMA.9-12.4.C

The student applies mathematical processes with algebraic techniques to study patterns and analyze data as it applies to scienceMMA.9-12.5

use proportionality and inverse variation to describe physical laws such as Hook's Law, Newton's Second Law of Motion, and Boyle's LawMMA.9-12.5.A

use exponential models available through technology to model growth and decay in areas, including radioactive decayMMA.9-12.5.B

use quadratic functions to model motionMMA.9-12.5.C

The student applies mathematical processes with algebra and geometry to study patterns and analyze data as it applies to architecture and engineeringMMA.9-12.6

use similarity, geometric transformations, symmetry, and perspective drawings to describe mathematical patterns and structure in architectureMMA.9-12.6.A

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 fieldsMMA.9-12.6.B

use the Pythagorean Theorem and special right-triangle relationships to calculate distancesMMA.9-12.6.C

use trigonometric ratios to calculate distances and angle measures as applied to fieldsMMA.9-12.6.D

The student uses mathematical processes with algebra and geometry to study patterns and analyze data as it applies to fine artsMMA.9-12.7

use trigonometric ratios and functions available through technology to model periodic behavior in art and musicMMA.9-12.7.A

use similarity, geometric transformations, symmetry, and perspective drawings to describe mathematical patterns and structure in art and photographyMMA.9-12.7.B

use geometric transformations, proportions, and periodic motion to describe mathematical patterns and structure in musicMMA.9-12.7.C

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 fieldsMMA.9-12.7.D

The student applies mathematical processes to determine the number of elements in a finite sample space and compute the probability of an eventMMA.9-12.8

determine the number of ways an event may occur using combinations, permutations, and the Fundamental Counting PrincipleMMA.9-12.8.A

compare theoretical to empirical probabilityMMA.9-12.8.B

use experiments to determine the reasonableness of a theoretical model such as binomial or geometricMMA.9-12.8.C

The student applies mathematical processes and mathematical models to analyze data as it applies to social sciencesMMA.9-12.9

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 conclusionsMMA.9-12.9.A

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 distributionsMMA.9-12.9.B

distinguish the purposes and differences among types of research, including surveys, experiments, and observational studiesMMA.9-12.9.C

use data from a sample to estimate population mean or population proportionMMA.9-12.9.D

analyze marketing claims based on graphs and statistics from electronic and print media and justify the validity of stated or implied conclusionsMMA.9-12.9.E

use regression methods available through technology to model linear and exponential functions, interpret correlations, and make predictionsMMA.9-12.9.F

The student applies mathematical processes to design a study and use graphical, numerical, and analytical techniques to communicate the results of the studyMMA.9-12.10

formulate a meaningful question, determine the data needed to answer the question, gather the appropriate data, analyze the data, and draw reasonable conclusionsMMA.9-12.10.A

communicate methods used, analyses conducted, and conclusions drawn for a data-analysis project through the use of one or more of the following: a written report, a visual display, an oral report, or a multi-media presentationMMA.9-12.10.B