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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RM.DPSR Data, Probability, and Statistical Reasoning

RM.DPSR.1 Apply statistical reasoning to complete investigations.
- RM.DPSR.1.1 Formulate a statistical question and develop a statistical method to address questions/studies through exploration of the research cycle.
- RM.DPSR.1.2 Write and identify a null hypothesis and an alternative hypothesis, as well as what makes up an experimental study.
- RM.DPSR.1.3 Identify the population of interest and the variables to be used in each study. Determine the appropriate sampling design, sampling technique, and statistical analysis for each research question.
  - Experiment design (A2-SS.9)
RM.DPSR.2 Analyze data of a statistical experiment.
- RM.DPSR.2.1 Compare and contrast categorical and quantitative data.
- RM.DPSR.2.2 Identify the variable of interest, interpret a variety of graphical displays (particularly histograms and box plots), and estimate center, spread, shape, outliers, and unusual features.
- RM.DPSR.2.3 Analyze histograms in depth, analyzing the effect of changing the bin size (also known as interval width).
- RM.DPSR.2.4 Analyze the appropriateness and usefulness of the chosen measure of center and of the graphical display.
  - Choose appropriate measures of center and variation (A2)
- RM.DPSR.2.5 Analyze the shape, spread, and unusual features of data sets and identify limitations based on data collection.
  - Identify an outlier and describe the effect of removing it (A2-SS.5)
RM.DPSR.3 Explore the sources of variability in sampling methods.
- RM.DPSR.3.1 Analyze possible sources of variability in the data, including biased sampling methods (such as non-representative sampling and under coverage) and biased statistics, as well as natural and induced variability.
  - Identify biased samples (A2-SS.1)
- RM.DPSR.3.2 Identify and explore various possible sources of statistical bias (such as response bias, nonresponse bias, and observer effect) and examine the effects of statistical bias on the generalizability of results.

RM.MGSR Measurement, Geometry, and Spatial Reasoning

RM.MGSR.1 Identify transformations using matrices.
- RM.MGSR.1.1 Use matrices to organize information and identify matrices that can be used to describe geometric transformations.
  - Identify transformation matrices (A2-UU.16)
- RM.MGSR.1.2 Represent figures using matrices and explore ways of determining different transformations (translations, reflection, rotations, dilations, or combinations).
  - Transformation matrices: write the vertex matrix (A2-UU.17)
  - Transformation matrices: graph the image (A2-UU.18)
RM.MGSR.2 Analyze truth tables to validate real-world situations.
- RM.MGSR.2.1 Analyze truth tables to determine and verify the validity of arguments.
  - Truth tables (G-A.7)
  - Truth values (G-A.8)
- RM.MGSR.2.2 Create arguments and statements to validate arguments.
  - Identify hypotheses and conclusions (G-A.1)

RM.NR Numerical Reasoning

RM.NR.1 Analyze numerical data through estimation and approximation in real-world situations.
- RM.NR.1.1 Use various numerical techniques when estimating and calculating very large and small values.
  - Convert between standard and scientific notation (A1-T.1)
- RM.NR.1.2 Apply proportional reasoning with aspect ratios.
- RM.NR.1.3 Use weighted averages and sums.
  - Weighted averages (G-B.7)
- RM.NR.1.4 Investigate and validate identification numbers.
RM.NR.2 Analyze present and future value of investments involving interest.
- RM.NR.2.1 Compare and contrast the nominal interest rate with the annual percentage rate (APR).
- RM.NR.2.2 Determine the future value of an investment, given the present value.
RM.NR.3 Analyze real-world scenarios involving credit card debt and loans.
- RM.NR.3.1 Determine the monthly payment to retire a debt at a fixed rate.
- RM.NR.3.2 Compare and contrast different credit card offers using minimum payments.

RM.PAFR Patterns, Algebra, and Functional Reasoning

RM.PAFR.1 Analyze regression of linear functions.
- RM.PAFR.1.1 Compute and analyze the correlation coefficient of data to determine the strength of the linear model.
  - Calculate correlation coefficients (A2-TT.3)
- RM.PAFR.1.2 Analyze data that follow a linear pattern using recursively defined rules and compare those rules to explicit function rules.
  - Write a formula for an arithmetic sequence (A2-NN.5)
RM.PAFR.2 Analyze step and piecewise functions in real-world situations.
- RM.PAFR.2.1 Explore step and piecewise functions to make predictions and decisions about a variety of mathematical and real-world situations.
RM.PAFR.3 Analyze data that follow an exponential pattern using the idea of a common ratio between consecutive values.
- RM.PAFR.3.1 Find recursive rules to model data and make connections between the recursive rule and the explicit function rule of the exponential relationship.
  - Write a formula for a geometric sequence (A2-NN.6)

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RM.DPSR Data, Probability, and Statistical Reasoning

RM.DPSR.1 Apply statistical reasoning to complete investigations.

RM.DPSR.1.1 Formulate a statistical question and develop a statistical method to address questions/studies through exploration of the research cycle.

RM.DPSR.1.2 Write and identify a null hypothesis and an alternative hypothesis, as well as what makes up an experimental study.

RM.DPSR.1.3 Identify the population of interest and the variables to be used in each study. Determine the appropriate sampling design, sampling technique, and statistical analysis for each research question.

RM.DPSR.2 Analyze data of a statistical experiment.

RM.DPSR.2.1 Compare and contrast categorical and quantitative data.

RM.DPSR.2.2 Identify the variable of interest, interpret a variety of graphical displays (particularly histograms and box plots), and estimate center, spread, shape, outliers, and unusual features.

RM.DPSR.2.3 Analyze histograms in depth, analyzing the effect of changing the bin size (also known as interval width).

RM.DPSR.2.4 Analyze the appropriateness and usefulness of the chosen measure of center and of the graphical display.

RM.DPSR.2.5 Analyze the shape, spread, and unusual features of data sets and identify limitations based on data collection.

RM.DPSR.3 Explore the sources of variability in sampling methods.

RM.DPSR.3.1 Analyze possible sources of variability in the data, including biased sampling methods (such as non-representative sampling and under coverage) and biased statistics, as well as natural and induced variability.

RM.DPSR.3.2 Identify and explore various possible sources of statistical bias (such as response bias, nonresponse bias, and observer effect) and examine the effects of statistical bias on the generalizability of results.

RM.MGSR Measurement, Geometry, and Spatial Reasoning

RM.MGSR.1 Identify transformations using matrices.

RM.MGSR.1.1 Use matrices to organize information and identify matrices that can be used to describe geometric transformations.

RM.MGSR.1.2 Represent figures using matrices and explore ways of determining different transformations (translations, reflection, rotations, dilations, or combinations).

RM.MGSR.2 Analyze truth tables to validate real-world situations.

RM.MGSR.2.1 Analyze truth tables to determine and verify the validity of arguments.

RM.MGSR.2.2 Create arguments and statements to validate arguments.

RM.NR Numerical Reasoning

RM.NR.1 Analyze numerical data through estimation and approximation in real-world situations.

RM.NR.1.1 Use various numerical techniques when estimating and calculating very large and small values.

RM.NR.1.2 Apply proportional reasoning with aspect ratios.

RM.NR.1.3 Use weighted averages and sums.

RM.NR.1.4 Investigate and validate identification numbers.

RM.NR.2 Analyze present and future value of investments involving interest.

RM.NR.2.1 Compare and contrast the nominal interest rate with the annual percentage rate (APR).

RM.NR.2.2 Determine the future value of an investment, given the present value.

RM.NR.3 Analyze real-world scenarios involving credit card debt and loans.

RM.NR.3.1 Determine the monthly payment to retire a debt at a fixed rate.

RM.NR.3.2 Compare and contrast different credit card offers using minimum payments.

RM.PAFR Patterns, Algebra, and Functional Reasoning

RM.PAFR.1 Analyze regression of linear functions.

RM.PAFR.1.1 Compute and analyze the correlation coefficient of data to determine the strength of the linear model.

RM.PAFR.1.2 Analyze data that follow a linear pattern using recursively defined rules and compare those rules to explicit function rules.

RM.PAFR.2 Analyze step and piecewise functions in real-world situations.

RM.PAFR.2.1 Explore step and piecewise functions to make predictions and decisions about a variety of mathematical and real-world situations.

RM.PAFR.3 Analyze data that follow an exponential pattern using the idea of a common ratio between consecutive values.

RM.PAFR.3.1 Find recursive rules to model data and make connections between the recursive rule and the explicit function rule of the exponential relationship.