South Carolina

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Skills available for South Carolina high school math standards

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South Carolina College- and Career-Ready Standards (adopted in 2023): Algebra 1 South Carolina College- and Career-Ready Standards (adopted in 2023): Algebra 1
South Carolina College- and Career-Ready Standards (adopted in 2023): Algebra 2 with Probability South Carolina College- and Career-Ready Standards (adopted in 2023): Algebra 2 with Probability
South Carolina College- and Career-Ready Standards (adopted in 2023): Applications and Modeling South Carolina College- and Career-Ready Standards (adopted in 2023): Applications and Modeling
South Carolina College- and Career-Ready Standards (adopted in 2023): Calculus South Carolina College- and Career-Ready Standards (adopted in 2023): Calculus
South Carolina College- and Career-Ready Standards (adopted in 2023): Geometry with Statistics South Carolina College- and Career-Ready Standards (adopted in 2023): Geometry with Statistics
South Carolina College- and Career-Ready Standards (adopted in 2023): Grade 8 & Geometry Compacted South Carolina College- and Career-Ready Standards (adopted in 2023): Grade 8 & Geometry Compacted
South Carolina College- and Career-Ready Standards (adopted in 2023): Mathematical Practices South Carolina College- and Career-Ready Standards (adopted in 2023): Mathematical Practices
South Carolina College- and Career-Ready Standards (adopted in 2023): Pre-Calculus South Carolina College- and Career-Ready Standards (adopted in 2023): Pre-Calculus
South Carolina College- and Career-Ready Standards (adopted in 2023): Reasoning in Mathematics South Carolina College- and Career-Ready Standards (adopted in 2023): Reasoning in Mathematics
South Carolina High School Employability Credential: Essentials of Math I South Carolina High School Employability Credential: Essentials of Math I
South Carolina High School Employability Credential: Essentials of Math II South Carolina High School Employability Credential: Essentials of Math II
South Carolina High School Employability Credential: Essentials of Math III South Carolina High School Employability Credential: Essentials of Math III
South Carolina High School Employability Credential: Essentials of Math IV South Carolina High School Employability Credential: Essentials of Math IV

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AM.DPSR Data, Probability, and Statistical Reasoning

AM.DPSR.1 Summarize and interpret data represented in tables or graphs to make predictions.
- AM.DPSR.1.1 Summarize and interpret trends to make predictions in real-world situations.
  - Interpret regression lines (A2-TT.5)
- 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 Solve problems involving probability and probability models, and use expected value to make informed decisions in real-world situations.
- 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.
  - Choose the better bet (A2-QQ.10)
- 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.

AM.MGSR Measurement, Geometry, and Spatial Reasoning

AM.MGSR.1 Apply trigonometric principles to solve real-world geometric situations involving inaccessible distances.
- 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 Critique the appropriateness of measurements in terms of precision, accuracy, and approximate error.
- AM.MGSR.2.1 Determine dimensions by scaling plans or blueprints.
  - Scale drawings: word problems (A2)
- AM.MGSR.2.2 Apply knowledge of fractions for reading a ruler to ¹/₁₆ inch to interpreting blueprints and measuring materials.
  - Precision (G-V.4)
- AM.MGSR.2.3 Compare the metric and the British imperial systems of measurements used in industry.
  - Convert between customary and metric systems (G)
AM.MGSR.3 Apply two- and three-dimensional representations, geometric transformations, and scale models in planning, designing, and constructing solutions to real-world situations.
- AM.MGSR.3.1 Calculate lengths utilizing the Pythagorean Theorem.
  - Pythagorean Theorem and its converse (A2-HH.1)
- 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.
  - Heron's formula (G-S.14)
AM.MGSR.4 Apply two- and three-dimensional representations in coordinate systems to find solutions to real-world situations.
- 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°, 180°, or 270° about the x, y, and z axes; reflections over the xy, yz, and xz planes; and dilations from the origin.
AM.MGSR.5 Use vectors and matrices to represent, organize, and describe data to solve problems in mathematical and real-world situations.
- 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.

AM.NR Numerical Reasoning

AM.NR.1 Solve problems using fractions, percents, and ratios for real-world situations involving linear, quadratic, exponential, and absolute functions.
- AM.NR.1.1 Apply numerical reasoning to real-world situations involving percent increase and decrease.
  - Percent of change: word problems (A2)

AM.PAFR Patterns, Algebra, and Functional Reasoning

AM.PAFR.1 Create and analyze mathematical models to make decisions on real-world situations.
- 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 Analyze and solve application-based problems relating to direct, inverse, and joint variation.
- 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 Analyze and apply linear programming to mathematical and real-world situations.
- AM.PAFR.3.1 Calculate the values of the variables that maximize or minimize the objective function, given four or more constraints.
  - Find the vertices of a solution set for a system of linear inequalities (A2-F.5)
  - Linear programming (A2-F.6)

South Carolina

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AM.DPSR Data, Probability, and Statistical Reasoning

AM.DPSR.1 Summarize and interpret data represented in tables or graphs to make predictions.

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 Solve problems involving probability and probability models, and use expected value to make informed decisions in real-world situations.

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.

AM.MGSR Measurement, Geometry, and Spatial Reasoning

AM.MGSR.1 Apply trigonometric principles to solve real-world geometric situations involving inaccessible distances.

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 Critique the appropriateness of measurements in terms of precision, accuracy, and approximate error.

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 Apply two- and three-dimensional representations, geometric transformations, and scale models in planning, designing, and constructing solutions to real-world situations.

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 Apply two- and three-dimensional representations in coordinate systems to find solutions to real-world situations.

AM.MGSR.4.1 Plot coordinates on a three-dimensional Cartesian coordinate system and use relationships between coordinates to solve design problems.

AM.MGSR.5 Use vectors and matrices to represent, organize, and describe data to solve problems in mathematical and real-world situations.

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.

AM.NR Numerical Reasoning

AM.NR.1 Solve problems using fractions, percents, and ratios for real-world situations involving linear, quadratic, exponential, and absolute functions.

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

AM.PAFR Patterns, Algebra, and Functional Reasoning

AM.PAFR.1 Create and analyze mathematical models to make decisions on real-world situations.

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 Analyze and solve application-based problems relating to direct, inverse, and joint variation.

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 Analyze and apply linear programming to mathematical and real-world situations.

AM.PAFR.3.1 Calculate the values of the variables that maximize or minimize the objective function, given four or more constraints.

AM.MGSR.2.2 Apply knowledge of fractions for reading a ruler to ¹/₁₆ inch to interpreting blueprints and measuring materials.