Mathematical Modeling

MM.1Use the full Mathematical Modeling Cycle or Statistical Problem-Solving Cycle to answer a real-world problem of particular student interest, incorporating standards from across the course.MM.10Construct a two-dimensional visual representation of a three-dimensional object or structure.MM.11Plot coordinates on a three-dimensional Cartesian coordinate system and use relationships between coordinates to solve design problems.MM.12Use technology and other tools to explore the results of simple transformations using three-dimensional coordinates, including translations in the x, y, and/or z directions; rotations of 90º, 180º, or 270º about the x, y, and z axes; reflections over the xy, yz, and xy planes; and dilations from the origin.MM.13Create a scale model of a complex three-dimensional structure based on observed measurements and indirect measurements, using translations, reflections, rotations, and dilations of its components.MM.14Use elements of the Mathematical Modeling Cycle to make predictions based on measurements that change over time, including motion, growth, decay, and cycling.MM.15Use regression with statistical graphing technology to determine an equation that best fits a set of bivariate data, including nonlinear patterns.MM.16Create a linear representation of non-linear data and interpret solutions, using technology and the process of linearization with logarithms.MM.17Use the Statistical Problem Solving Cycle to answer real-world questions.MM.18Construct a probability distribution based on empirical observations of a variable.MM.19Construct a sampling distribution for a random event or random sample.MM.2Use elements of the Mathematical Modeling Cycle to solve real-world problems involving finances.MM.20Perform inference procedures based on the results of samples and experiments.MM.21Critique the validity of reported conclusions from statistical studies in terms of bias and random error probabilities.MM.22Conduct a randomized study on a topic of student interest (sample or experiment) and draw conclusions based upon the results.MM.3Organize and display financial information using arithmetic sequences to represent simple interest and straight-line depreciation.MM.4Organize and display financial information using geometric sequences to represent compound interest and proportional depreciation, including periodic (yearly, monthly, weekly) and continuous compounding.MM.5Compare simple and compound interest, and straight-line and proportional depreciation.MM.6Investigate growth and reduction of credit card debt using spreadsheets, including variables such as beginning balance, payment structures, credits, interest rates, new purchases, finance charges, and fees.MM.7Compare and contrast housing finance options including renting, leasing to purchase, purchasing with a mortgage, and purchasing with cash.MM.8Investigate the advantages and disadvantages of various means of paying for an automobile, including leasing, purchasing by cash, and purchasing by loan.MM.9Use the Mathematical Modeling Cycle to solve real-world problems involving the design of three-dimensional objects.
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