South Carolina

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Skills available for South Carolina seventh-grade math standards

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South Carolina College- and Career-Ready Standards (adopted in 2023): Grade 7 South Carolina College- and Career-Ready Standards (adopted in 2023): Grade 7
South Carolina College- and Career-Ready Standards (adopted in 2023): Grade 7 & 8 Compacted South Carolina College- and Career-Ready Standards (adopted in 2023): Grade 7 & 8 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 South Carolina College- and Career-Ready Standards

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DPSR Data, Probability, and Statistical Reasoning

7.DPSR.1 Analyze data sets to identify their statistical elements.
- 7.DPSR.1.1 Create stem-and-leaf plots to represent numerical data sets in mathematical and real-world situations.
  - Create stem-and-leaf plots (7-GG.4)
- 7.DPSR.1.2 Use the shape of the graph to select the measure of center (mean, median, or mode) that best describes the data set.
- 7.DPSR.1.3 Calculate and interpret the measures of center (mean, median, mode) and spread (mean absolute deviation, interquartile range, range) in mathematical and real-world situations.
- 7.DPSR.1.4 Create histograms to represent data sets and interpret histograms to answer questions or draw conclusions about data sets.
  - Create histograms (7-GG.8)
  - Interpret histograms (7-GG.9)
- Checkpoint opportunity
7.DPSR.2 Calculate and interpret probability.
- 7.DPSR.2.1 Identify the sample space for a simple event.
  - Sample spaces of simple events (7-II.1)
- 7.DPSR.2.2 Calculate and interpret the theoretical probability of a simple random event.
  - Probability of simple events (7-II.2)
  - Make predictions using theoretical probability (7-II.8)
- 7.DPSR.2.3 Calculate and interpret the experimental probability of a random event related to a simple experiment.
- 7.DPSR.2.4 Compare and contrast the experimental and theoretical probabilities for a simple experiment.
- Checkpoint opportunity

MGSR Measurement, Geometry, and Spatial Reasoning

7.MGSR.1 Determine the measurements of geometric figures.
- 7.MGSR.1.1 Identify the parts of a circle. Limit the parts to center, radius, diameter, and chord.
  - Parts of a circle (7-Z.13)
- 7.MGSR.1.2 Describe the relationship between the radius, diameter, and circumference of a circle.
  - Circumference of circles (7-BB.5)
- 7.MGSR.1.3 Solve mathematical and real-world situations involving circumference or area of circles.
  - Area of circles (7-BB.6)
  - Circles: word problems (7-BB.7)
- 7.MGSR.1.4 Determine if three given side lengths can form a triangle using the Triangle Inequality Theorem.
  - Triangle inequality (7-Z.3)
- 7.MGSR.1.5 In mathematical and real-world situations, find the volume of right prisms and right pyramids having triangular or quadrilateral bases.
- 7.MGSR.1.6 In mathematical and real-world situations, find the surface area of right prisms and right pyramids having triangular or quadrilateral bases.
  - Surface area of cubes and prisms (7-CC.1)
  - Surface area of pyramids (7-CC.2)
- Checkpoint opportunity
  - Checkpoint: Area, circumference, surface area, and volume (7)
7.MGSR.2 Determine angle and/or side relationships.
- 7.MGSR.2.1 Determine the measure of the third angle given the measure of the other two angles of a triangle using the Triangle Sum Theorem.
  - Find missing angles in triangles (7-Z.8)
- 7.MGSR.2.2 Solve mathematical and real-world situations involving dimensions and areas of geometric figures including scale drawings and scale factors.
- 7.MGSR.2.3 Identify the relationships and measures among angles formed by two intersecting lines, given the measure of one angle. Limit to supplementary, complementary, vertical, and adjacent relationships.
  - Identify complementary, supplementary, vertical, and adjacent angles (7-Y.4)
  - Find measures of complementary, supplementary, vertical, and adjacent angles (7-Y.5)
- 7.MGSR.2.4 Write and solve equations to solve mathematical and real-world situations involving the relationships among angles formed by two intersecting lines. Limit to supplementary, complementary, vertical, and adjacent relationships.
  - Write and solve equations using angle relationships (7-Y.6)
- Checkpoint opportunity
  - Checkpoint: Scale drawings (7-DD.5)
7.MGSR.3 Graph on the coordinate plane.
- 7.MGSR.3.1 Find distances between ordered pairs on the coordinate plane, limited to the same x-coordinate or the same y-coordinate.
  - Distance between two points (7-M.4)

NR Numerical Reasoning

7.NR.1 Translate among multiple representations of rational numbers.
- 7.NR.1.1 Convert rational numbers into equivalent forms among fractions (including mixed numbers), decimals, and percentages. Exclude the conversion of repeating decimals to fractions.
  - What percentage is illustrated? (7-O.1)
  - Convert between percents, fractions, and decimals (7-O.2)
7.NR.2 Utilize rational numbers in mathematical and real-world situations.
- 7.NR.2.1 Compare two rational numbers and write statements using is equal to (=), is not equal to (≠), is less than (<), is greater than (>), is greater than or equal to (≥), and/or is less than or equal to (≤) in mathematical and real-world situations.
- Checkpoint opportunity

PAFR Patterns, Algebra, and Functional Reasoning

7.PAFR.1 Use tables, graphs, verbal descriptions, or equations to represent a function.
- 7.PAFR.1.1 Apply proportional reasoning to solve problems in mathematical and real-world situations involving ratios and percentages.
- 7.PAFR.1.2 Create a model with functions that address a proportional relationship in real-world situations.
- 7.PAFR.1.3 Identify the constant of proportionality within proportional relationships.
  - Find the constant of proportionality from a table (7-N.1)
  - Find the constant of proportionality from a graph (7-N.4)
- Checkpoint opportunity
7.PAFR.2 Write, simplify, and evaluate algebraic expressions; write and solve algebraic equations and inequalities.
- 7.PAFR.2.1 Write and solve multi-step equations and inequalities in one variable involving rational numbers in mathematical and real-world situations.
- 7.PAFR.2.2 Write and evaluate expressions in one variable that model mathematical and real-world situations.
- 7.PAFR.2.3 Compute unit rates, including those involving complex fractions with like or different units.
- 7.PAFR.2.4 Use dimensional analysis to convert units between metric and customary systems.
- Checkpoint opportunity
7.PAFR.3 Apply mathematical patterns, properties, and algorithms to the set of rational numbers to find sums, differences, products, and quotients and to write equivalent expressions.
- 7.PAFR.3.1 Simplify numerical expressions that include integer exponents using the laws of exponents: the Product of Powers, Quotient of Powers, Power of a Power, Power of a Product, Power of a Quotient, Zero Power, and Negative Exponent.
- 7.PAFR.3.2 Identify linear expressions that are equivalent.
- 7.PAFR.3.3 Recognize that algebraic expressions may have a variety of equivalent forms and determine an appropriate form for a given real-world situation.
  - Identify equivalent linear expressions: word problems (7-S.14)
- 7.PAFR.3.4 Factor linear expressions with integer coefficients using the greatest common factor (GCF).
  - Factor linear expressions: area models (7-S.9)
  - Factors of linear expressions (7-S.10)
- 7.PAFR.3.5 Apply all operations with rational numbers to solve problems in mathematical and real-world situations.
- Checkpoint opportunity
  - Checkpoint: Problem solving with rational numbers (7-I.14)

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Actions

DPSR Data, Probability, and Statistical Reasoning

7.DPSR.1 Analyze data sets to identify their statistical elements.

7.DPSR.1.1 Create stem-and-leaf plots to represent numerical data sets in mathematical and real-world situations.

7.DPSR.1.2 Use the shape of the graph to select the measure of center (mean, median, or mode) that best describes the data set.

7.DPSR.1.3 Calculate and interpret the measures of center (mean, median, mode) and spread (mean absolute deviation, interquartile range, range) in mathematical and real-world situations.

7.DPSR.1.4 Create histograms to represent data sets and interpret histograms to answer questions or draw conclusions about data sets.

Checkpoint opportunity

7.DPSR.2 Calculate and interpret probability.

7.DPSR.2.1 Identify the sample space for a simple event.

7.DPSR.2.2 Calculate and interpret the theoretical probability of a simple random event.

7.DPSR.2.3 Calculate and interpret the experimental probability of a random event related to a simple experiment.

7.DPSR.2.4 Compare and contrast the experimental and theoretical probabilities for a simple experiment.

Checkpoint opportunity

MGSR Measurement, Geometry, and Spatial Reasoning

7.MGSR.1 Determine the measurements of geometric figures.

7.MGSR.1.1 Identify the parts of a circle. Limit the parts to center, radius, diameter, and chord.

7.MGSR.1.2 Describe the relationship between the radius, diameter, and circumference of a circle.

7.MGSR.1.3 Solve mathematical and real-world situations involving circumference or area of circles.

7.MGSR.1.4 Determine if three given side lengths can form a triangle using the Triangle Inequality Theorem.

7.MGSR.1.5 In mathematical and real-world situations, find the volume of right prisms and right pyramids having triangular or quadrilateral bases.

7.MGSR.1.6 In mathematical and real-world situations, find the surface area of right prisms and right pyramids having triangular or quadrilateral bases.

Checkpoint opportunity

7.MGSR.2 Determine angle and/or side relationships.

7.MGSR.2.1 Determine the measure of the third angle given the measure of the other two angles of a triangle using the Triangle Sum Theorem.

7.MGSR.2.2 Solve mathematical and real-world situations involving dimensions and areas of geometric figures including scale drawings and scale factors.

7.MGSR.2.3 Identify the relationships and measures among angles formed by two intersecting lines, given the measure of one angle. Limit to supplementary, complementary, vertical, and adjacent relationships.

7.MGSR.2.4 Write and solve equations to solve mathematical and real-world situations involving the relationships among angles formed by two intersecting lines. Limit to supplementary, complementary, vertical, and adjacent relationships.

Checkpoint opportunity

7.MGSR.3 Graph on the coordinate plane.

7.MGSR.3.1 Find distances between ordered pairs on the coordinate plane, limited to the same x-coordinate or the same y-coordinate.

NR Numerical Reasoning

7.NR.1 Translate among multiple representations of rational numbers.

7.NR.1.1 Convert rational numbers into equivalent forms among fractions (including mixed numbers), decimals, and percentages. Exclude the conversion of repeating decimals to fractions.

7.NR.2 Utilize rational numbers in mathematical and real-world situations.

7.NR.2.1 Compare two rational numbers and write statements using is equal to (=), is not equal to (≠), is less than (<), is greater than (>), is greater than or equal to (≥), and/or is less than or equal to (≤) in mathematical and real-world situations.

Checkpoint opportunity

PAFR Patterns, Algebra, and Functional Reasoning

7.PAFR.1 Use tables, graphs, verbal descriptions, or equations to represent a function.

7.PAFR.1.1 Apply proportional reasoning to solve problems in mathematical and real-world situations involving ratios and percentages.

7.PAFR.1.2 Create a model with functions that address a proportional relationship in real-world situations.

7.PAFR.1.3 Identify the constant of proportionality within proportional relationships.

Checkpoint opportunity

7.PAFR.2 Write, simplify, and evaluate algebraic expressions; write and solve algebraic equations and inequalities.

7.PAFR.2.1 Write and solve multi-step equations and inequalities in one variable involving rational numbers in mathematical and real-world situations.

7.PAFR.2.2 Write and evaluate expressions in one variable that model mathematical and real-world situations.

7.PAFR.2.3 Compute unit rates, including those involving complex fractions with like or different units.

7.PAFR.2.4 Use dimensional analysis to convert units between metric and customary systems.

Checkpoint opportunity

7.PAFR.3 Apply mathematical patterns, properties, and algorithms to the set of rational numbers to find sums, differences, products, and quotients and to write equivalent expressions.

7.PAFR.3.1 Simplify numerical expressions that include integer exponents using the laws of exponents: the Product of Powers, Quotient of Powers, Power of a Power, Power of a Product, Power of a Quotient, Zero Power, and Negative Exponent.

7.PAFR.3.2 Identify linear expressions that are equivalent.

7.PAFR.3.3 Recognize that algebraic expressions may have a variety of equivalent forms and determine an appropriate form for a given real-world situation.

7.PAFR.3.4 Factor linear expressions with integer coefficients using the greatest common factor (GCF).

7.PAFR.3.5 Apply all operations with rational numbers to solve problems in mathematical and real-world situations.

Checkpoint opportunity