South Carolina flagSouth Carolina: Applications and Modeling Math Standards

26 standards · 4 domains

DATA, PROBABILITY, AND STATISTICAL REASONING

  • AM.DPSR.1.1 Summarize and interpret trends to make predictions in real-world situations.
  • AM.DPSR.1.2 Calculate and explain pay scale based on occupational outlook projections.
  • AM.DPSR.1.3 Calculate and explain operating costs, including cost of materials, supplies, equipment, license fees, and insurance fees.
  • AM.DPSR.1.4 Construct and analyze charts that reflect current demographics in various industries.
  • AM.DPSR.2.1 Determine the probability of simple and compound events in real-world situations.
  • AM.DPSR.2.2 Use probabilities to make and justify decisions about risk in real-world situations.
  • AM.DPSR.2.3 Calculate and analyze the expected value of a probability model (binominal, normal, and Poisson distributions) for a real-world situation to make decisions about fairness, payoff, and risk.

MEASUREMENT, GEOMETRY, AND SPATIAL REASONING

  • AM.MGSR.1.1 Apply sine, cosine, and tangent ratios and the Law of Sines and the Law of Cosines to discover distances.
  • AM.MGSR.2.1 Determine dimensions by scaling plans or blueprints.
  • AM.MGSR.2.2 Apply knowledge of fractions for reading a ruler to 1/16 inch to interpreting blueprints and measuring materials.
  • AM.MGSR.2.3 Compare the metric and the British imperial systems of measurements used in industry.
  • AM.MGSR.3.1 Calculate lengths utilizing the Pythagorean Theorem.
  • AM.MGSR.3.2 Apply the concepts of area, volume, scale factors, and scale drawings to applied problems for a specific project.
  • AM.MGSR.3.3 Determine the level of precision and the appropriate tools for taking measurements in constructing a two-dimensional visual representation of a three-dimensional object or structure.
  • AM.MGSR.3.4 Apply Heron's Formula for finding the area of a triangular region.
  • AM.MGSR.4.1 Plot coordinates on a three-dimensional Cartesian coordinate system and use relationships between coordinates to solve design problems.
  • AM.MGSR.4.2 Use 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 90 degrees, 180 degrees, or 270 degrees about the x, y, and z axes; reflections over the xy, yz, and xz planes; and dilations from the origin.
  • AM.MGSR.5.1 Apply vectors to mathematical and real-world situations by recognizing vectors as mathematical objects having both magnitude and direction.
  • AM.MGSR.5.2 Use and apply matrices to represent geometric transformations in real-world situations.

NUMERICAL REASONING

  • AM.NR.1.1 Apply numerical reasoning to real-world situations involving percent increase and decrease.

PATTERNS, ALGEBRA, AND FUNCTIONAL REASONING

  • AM.PAFR.1.1 Use exponential functions to model change in a variety of financial situations.
  • AM.PAFR.1.2 Compare the various means of paying for an automobile, including leasing, purchasing by cash, and purchasing by loan.
  • AM.PAFR.1.3 Use sequences to represent simple and compound interest and depreciation.
  • AM.PAFR.2.1 Apply variations to mathematical and real-world situations to describe troubleshooting in business and industrial applications.
  • AM.PAFR.2.2 Utilize mathematical skills for troubleshooting in business and industrial applications.
  • AM.PAFR.3.1 Calculate the values of the variables that maximize or minimize the objective function, given four or more constraints.
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