South Carolina College- and Career-Ready Standards (adopted in 2023): Grade 8
Skills available for South Carolina Grade 8 math standards
Strand
Print skill plan
DPSR
Data, Probability, and Statistical Reasoning
8.DPSR.1 Analyze data sets to identify their statistical elements.
8.DPSR.1.1 Create and analyze scatter plots to represent numerical data sets in mathematical and real-world situations.
8.DPSR.1.1 Create and analyze scatter plots to represent numerical data sets in mathematical and real-world situations.
8.DPSR.1.2 Draw inferences about data sets from two populations using the shape of the distribution, measures of center, and measures of variability. Limit measures to mean, median, mode, range, mean absolute deviation, and interquartile range.
8.DPSR.1.2 Draw inferences about data sets from two populations using the shape of the distribution, measures of center, and measures of variability. Limit measures to mean, median, mode, range, mean absolute deviation, and interquartile range.
8.DPSR.1.3 Describe how adding and deleting data throughout the data set can affect the mean, median, mode, and distribution of the data set.
8.DPSR.1.3 Describe how adding and deleting data throughout the data set can affect the mean, median, mode, and distribution of the data set.
8.DPSR.1.4 For two data sets (numerical or graphical), compare and interpret the centers, spreads, and overlap of data to draw inferences about data in mathematical and real-world situations. Limit displays to double line graphs, back-to-back stem-and-leaf plots, and double box plots.
8.DPSR.1.4 For two data sets (numerical or graphical), compare and interpret the centers, spreads, and overlap of data to draw inferences about data in mathematical and real-world situations. Limit displays to double line graphs, back-to-back stem-and-leaf plots, and double box plots.
Checkpoint skill Checkpoint opportunity
Checkpoint skill Checkpoint opportunity
8.DPSR.2 Calculate and interpret probability.
8.DPSR.2.1 Determine the sample space for a compound event.
8.DPSR.2.1 Determine the sample space for a compound event.
8.DPSR.2.2 Calculate and interpret the probability of compound independent and dependent events.
8.DPSR.2.2 Calculate and interpret the probability of compound independent and dependent events.
MGSR
Measurement, Geometry, and Spatial Reasoning
8.MGSR.1 Determine the measurements of geometric figures.
8.MGSR.1.1 Given the geometric formulas, find the volume of cones, cylinders, and spheres in mathematical and real-world situations.
8.MGSR.1.1 Given the geometric formulas, find the volume of cones, cylinders, and spheres in mathematical and real-world situations.
8.MGSR.1.2 Find the distance between any two points in the coordinate plane using the Pythagorean Theorem.
8.MGSR.1.2 Find the distance between any two points in the coordinate plane using the Pythagorean Theorem.
8.MGSR.1.3 Given the Pythagorean Theorem, determine unknown side lengths in right triangles in mathematical and real-world situations.
8.MGSR.1.3 Given the Pythagorean Theorem, determine unknown side lengths in right triangles in mathematical and real-world situations.
8.MGSR.1.4 Determine if a given set of sides forms a right triangle.
8.MGSR.1.4 Determine if a given set of sides forms a right triangle.
Checkpoint skill Checkpoint opportunity
Checkpoint skill Checkpoint opportunity
8.MGSR.2 Determine angle and/or side relationships.
8.MGSR.2.1 Determine missing angle measurements created when parallel lines are cut by a transversal.
8.MGSR.2.1 Determine missing angle measurements created when parallel lines are cut by a transversal.
8.MGSR.2.2 Determine if two-dimensional figures are congruent or similar.
8.MGSR.2.2 Determine if two-dimensional figures are congruent or similar.
8.MGSR.2.3 Identify the congruent corresponding angles of similar polygons.
8.MGSR.2.3 Identify the congruent corresponding angles of similar polygons.
8.MGSR.2.4 Discover and apply the Exterior Angle Theorem of triangles to find a missing angle.
8.MGSR.2.4 Discover and apply the Exterior Angle Theorem of triangles to find a missing angle.
8.MGSR.2.5 Apply proportional reasoning to find the missing side lengths of two similar figures.
8.MGSR.2.5 Apply proportional reasoning to find the missing side lengths of two similar figures.
8.MGSR.3 Graph on a coordinate plane.
8.MGSR.3.1 Identify the transformation as a rotation, reflection, and/or translation. Limit rotations to multiples of 90 degrees centered on the origin.
8.MGSR.3.1 Identify the transformation as a rotation, reflection, and/or translation. Limit rotations to multiples of 90 degrees centered on the origin.
8.MGSR.3.2 Identify congruent angles and congruent line segments of a preimage and its image.
8.MGSR.3.2 Identify congruent angles and congruent line segments of a preimage and its image.
8.MGSR.3.3 Translate geometric figures vertically and/or horizontally.
8.MGSR.3.3 Translate geometric figures vertically and/or horizontally.
8.MGSR.3.4 Reflect geometric figures with respect to the x-axis and/or y-axis.
8.MGSR.3.4 Reflect geometric figures with respect to the x-axis and/or y-axis.
8.MGSR.3.5 Rotate geometric figures 90, 180, and 270 degrees, both clockwise and counterclockwise, about the origin in a coordinate plane.
8.MGSR.3.5 Rotate geometric figures 90, 180, and 270 degrees, both clockwise and counterclockwise, about the origin in a coordinate plane.
8.MGSR.3.6 Create a dilation using a given scale factor and describe the effect of a dilation.
8.MGSR.3.6 Create a dilation using a given scale factor and describe the effect of a dilation.
8.MGSR.3.7 Describe the effect of a series of transformations, including dilations, translations, rotations, and reflections, on two-dimensional figures using coordinates on the coordinate plane.
8.MGSR.3.7 Describe the effect of a series of transformations, including dilations, translations, rotations, and reflections, on two-dimensional figures using coordinates on the coordinate plane.
Checkpoint skill Checkpoint opportunity
Checkpoint skill Checkpoint opportunity
NR
Numerical Reasoning
8.NR.1 Translate among multiple representations of rational numbers.
8.NR.1.1 Convert any form of a rational number to any other form including fractions (mixed numbers), decimals, and percentages.
8.NR.1.1 Convert any form of a rational number to any other form including fractions (mixed numbers), decimals, and percentages.
8.NR.2 Utilize real numbers in mathematical and real-world situations.
8.NR.2.1 Compare real numbers and write statements using is equal to (=), is not equal to (≠), is less than (<), is greater than (>), is greater than or equal to (≥), or is less than or equal to (≤).
8.NR.2.1 Compare real numbers and write statements using is equal to (=), is not equal to (≠), is less than (<), is greater than (>), is greater than or equal to (≥), or is less than or equal to (≤).
8.NR.2.2 Classify and order the subsets of real numbers in the number system including natural, whole, integer, rational, and irrational numbers.
Rational and irrational numbers
Classify real numbers
Compare and order real numbers
8.NR.2.2 Classify and order the subsets of real numbers in the number system including natural, whole, integer, rational, and irrational numbers.
Rational and irrational numbers
Classify real numbers
Compare and order real numbers
Checkpoint skill Checkpoint opportunity
Checkpoint skill Checkpoint opportunity
PAFR
Patterns, Algebra, and Functional Reasoning
8.PAFR.1 Determine if a table, graph, verbal description, or equation represents a function and describe its characteristics.
8.PAFR.1.1 Define an equation in slope-intercept form (y = mx + b) as being a linear function.
8.PAFR.1.1 Define an equation in slope-intercept form (y = mx + b) as being a linear function.
8.PAFR.1.2 Identify and describe the constant rate of change and the y-intercept of a linear function.
8.PAFR.1.2 Identify and describe the constant rate of change and the y-intercept of a linear function.
8.PAFR.1.3 Determine if a graph, table, mapping, or verbal description is a function (linear or nonlinear) or not a function.
8.PAFR.1.3 Determine if a graph, table, mapping, or verbal description is a function (linear or nonlinear) or not a function.
8.PAFR.1.4 Describe the key features of given functions, including domain, range, intervals of increasing or decreasing, constant, discrete, continuous, and intercepts.
8.PAFR.1.4 Describe the key features of given functions, including domain, range, intervals of increasing or decreasing, constant, discrete, continuous, and intercepts.
8.PAFR.1.5 Use multiple representations including mappings, tables, graphs, verbal description, and equations (only when linear) of two functions to compare the functions and draw conclusions.
8.PAFR.1.5 Use multiple representations including mappings, tables, graphs, verbal description, and equations (only when linear) of two functions to compare the functions and draw conclusions.
8.PAFR.1.6 Translate among the multiple representations, including mappings, tables, graphs, verbal description, and equations (only when linear) of a function.
8.PAFR.1.6 Translate among the multiple representations, including mappings, tables, graphs, verbal description, and equations (only when linear) of a function.
Checkpoint skill Checkpoint opportunity
Checkpoint skill Checkpoint opportunity
8.PAFR.2 Write, simplify, and evaluate algebraic expressions; write and solve algebraic equations and inequalities.
8.PAFR.2.1 Solve multi-step one-variable equations and inequalities with variables on both sides with rational coefficients.
Variables on both sides
Multi-step equations
Inequalities
8.PAFR.2.1 Solve multi-step one-variable equations and inequalities with variables on both sides with rational coefficients.
Variables on both sides
Multi-step equations
Inequalities
8.PAFR.2.2 Describe single-variable equations as having one solution, no solution, or an infinite number of solutions.
8.PAFR.2.2 Describe single-variable equations as having one solution, no solution, or an infinite number of solutions.
8.PAFR.2.3 Identify the rate of change for a linear function as the slope of the line.
Rate of change
Slope
8.PAFR.2.3 Identify the rate of change for a linear function as the slope of the line.
Rate of change
Slope
8.PAFR.2.4 Explain why the slope, m, is the same between any two distinct points on a linear graph.
8.PAFR.2.4 Explain why the slope, m, is the same between any two distinct points on a linear graph.
8.PAFR.2.5 Given a table or a graph, identify the slope and the y-intercept of a line and write a linear equation to express that line.
Slope
Write equations
8.PAFR.2.5 Given a table or a graph, identify the slope and the y-intercept of a line and write a linear equation to express that line.
Slope
Write equations
Checkpoint skill Checkpoint opportunity
Checkpoint skill Checkpoint opportunity
8.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.
8.PAFR.3.1 Analyze patterns of perfect squares and perfect cubes to evaluate square roots and cube roots. Limit to square roots less than or equal to 400 and cube roots less than or equal to 1,000.
8.PAFR.3.1 Analyze patterns of perfect squares and perfect cubes to evaluate square roots and cube roots. Limit to square roots less than or equal to 400 and cube roots less than or equal to 1,000.
8.PAFR.3.2 Approximate non-perfect square roots and cube roots to nearest tenth. Limit to square roots less than or equal to 400 and cube roots less than or equal to 1,000.
8.PAFR.3.2 Approximate non-perfect square roots and cube roots to nearest tenth. Limit to square roots less than or equal to 400 and cube roots less than or equal to 1,000.
8.PAFR.3.3 Apply laws of exponents to simplify algebraic expressions involving no more than three variables and integer exponents.
8.PAFR.3.3 Apply laws of exponents to simplify algebraic expressions involving no more than three variables and integer exponents.