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South Carolina Standards

South Carolina 8th Grade Math Standards

All 39 South Carolina math standards for 8th grade, each explained in plain English. The official wording is in South Carolina Department of Education's document, linked at the end of this page.

39 standards

Data, Probability, and Statistical Reasoning

6 standards
8.DPSR.1.1
Make scatterplots of paired numerical data from math and real-life situations and describe the patterns, like hours studied versus test scores.
8.DPSR.1.2
Draw conclusions about two populations from representative random samples by comparing shape, mean, median, mode, interquartile range, range and mean absolute deviation.
8.DPSR.1.3
Describe how adding or removing data values changes a data set's mean, median, mode and overall shape, like an outlier pulling the mean up.
8.DPSR.1.4
Compare two data sets in back-to-back stem-and-leaf plots, double box plots or double line graphs by their centers, spreads and overlap to draw conclusions.
8.DPSR.2.1
Find every possible outcome of a compound event, like the 12 results of flipping a coin and rolling a number cube.
8.DPSR.2.2
Find and explain probabilities of compound events, both independent and dependent, like drawing two red marbles with or without putting the first back.

Measurement, Geometry, and Spatial Reasoning

16 standards
8.MGSR.1.1
Use the given formulas to work out the volumes of cylinders, cones and spheres, like how much water a can or ball holds, in math and real-life problems.
8.MGSR.1.2
Work out how far apart any two points on the coordinate plane are by drawing a right triangle between them and applying the Pythagorean Theorem.
8.MGSR.1.3
Use the Pythagorean Theorem to find a missing side of a right triangle in math and real-life problems, like how high a 10-foot ladder reaches.
8.MGSR.1.4
Decide whether three side lengths make a right triangle by checking if a² + b² = c², like 5, 12 and 13.
8.MGSR.2.1
Find unknown angles where a transversal crosses two parallel lines, using angle pairs such as corresponding or alternate interior angles.
8.MGSR.2.2
Decide whether two flat figures are congruent, same shape and size, or similar, same shape but a different size.
8.MGSR.2.3
Match up the equal corresponding angles of similar polygons, like the angles at matching corners of a small and a large triangle.
8.MGSR.2.4
Discover the Exterior Angle Theorem, that an outside angle of a triangle equals the two far inside angles added, and use it to find a missing angle.
8.MGSR.2.5
Use proportions to find missing side lengths in two similar figures, like a shadow problem with a 6-foot person and a tree.
8.MGSR.3.1
Tell whether a figure was moved by a rotation, reflection, translation or a combination, with rotations in 90° steps about the origin.
8.MGSR.3.2
Find the matching congruent angles and congruent sides of a figure and its image after a transformation, like a triangle and its reflection.
8.MGSR.3.3
Slide figures up, down, left or right on the coordinate plane, like moving a triangle 3 units left and 2 units up.
8.MGSR.3.4
Reflect figures over the x-axis, the y-axis or both, and find the new coordinates, like a y-value of 5 becoming −5 after a flip over the x-axis.
8.MGSR.3.5
Turn figures 90°, 180° or 270° about the origin, clockwise or counterclockwise, and find where each vertex ends up.
8.MGSR.3.6
Make a dilation of a figure with a given scale factor and describe how it changes, like a factor of 2 doubling every side while angles stay the same.
8.MGSR.3.7
Use coordinates to describe what a sequence of translations, reflections, rotations and dilations does to a flat figure, like a slide then a flip.

Numerical Reasoning

3 standards
8.NR.1.1
Change any rational number from one form to any other, among fractions, mixed numbers, decimals and percents, like 1/3 = 0.333... = 33 1/3%.
8.NR.2.1
Compare real numbers, including irrational ones like √2 and π, and record the comparison with =, ≠, <, >, ≤ or ≥.
8.NR.2.2
Sort numbers into the natural, whole, integer, rational and irrational sets, and arrange those sets to show how they nest within the real numbers.

Patterns, Algebra, and Functional Reasoning

14 standards
8.PAFR.1.1
Explain that an equation written as y = mx + b, called slope-intercept form, always describes a linear function, like y = 2x + 3.
8.PAFR.1.2
Find a linear function's starting value, the y-intercept, and its steady rate of change, and describe what each means, like a $20 fee plus $5 per hour.
8.PAFR.1.3
Decide whether a graph, table, mapping or verbal description shows a function, and if so whether it is linear or nonlinear.
8.PAFR.1.4
Describe the main features of a function, like its domain, range, intercepts, where it rises, falls or stays flat, and whether it is discrete or continuous.
8.PAFR.1.5
Compare two functions given as mappings, tables, graphs, words or linear equations, possibly in different forms, and draw conclusions, like which plan grows faster.
8.PAFR.1.6
Move between mappings, tables, graphs, verbal descriptions and linear equations for the same function, like turning a table into y = 3x + 1.
8.PAFR.2.1
Solve equations and inequalities that need several steps and have the variable on both sides with rational coefficients, like 0.5x + 3 = 2x − 6.
8.PAFR.2.2
Tell whether a one-variable equation has one solution, no solution or infinitely many, like x + 3 = x + 5 having none.
8.PAFR.2.3
Recognize that the rate of change of a linear function is the slope of its graph, like a rate of 3 miles per hour giving a slope of 3.
8.PAFR.2.4
Explain why the slope of a line comes out the same no matter which two points on it you use, like with similar right triangles drawn along the line.
8.PAFR.2.5
Find the slope and y-intercept of a line from a table or graph and write its equation, like y = −2x + 5.
8.PAFR.3.1
Use patterns of perfect squares and cubes to find square roots of numbers up to 400 and cube roots of numbers up to 1,000, like √196 = 14 and ∛125 = 5.
8.PAFR.3.2
Estimate square roots of non-perfect squares up to 400 and cube roots of non-perfect cubes up to 1,000 to the nearest tenth, like √50 ≈ 7.1.
8.PAFR.3.3
Simplify algebraic expressions with integer exponents and up to three variables using the exponent laws, like x³y⁻² · x²y⁵ = x⁵y³.

The official South Carolina documents

The plain-English lines on this page are EMStudio's own explanations of South Carolina's standards, not the official wording, which South Carolina Department of Education publishes in the documents above. Codes and strand names identify each standard.