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South Carolina Standards

South Carolina 7th Grade Math Standards

All 33 South Carolina math standards for 7th 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.

33 standards

Data, Probability, and Statistical Reasoning

8 standards
7.DPSR.1.1
Build stem-and-leaf plots to show numerical data from math and real-life situations, like quiz scores with tens as stems and ones as leaves.
7.DPSR.1.2
Choose the mean, median or mode as the best center for a data set based on the shape of its graph, like the median when the data are skewed.
7.DPSR.1.3
Find and explain the mean, median and mode and the range, interquartile range and mean absolute deviation of data in math and real-life situations.
7.DPSR.1.4
Make histograms of data sets and read them to answer questions and draw conclusions, like how many students sleep 6 to 8 hours.
7.DPSR.2.1
List every possible outcome of a simple event, its sample space, like 1 through 6 for rolling a number cube.
7.DPSR.2.2
Find and explain the theoretical probability of a simple random event, like 1/6 for rolling a 4 on a fair number cube.
7.DPSR.2.3
Find and explain the experimental probability of an event from the results of a simple experiment, like 7 heads in 20 coin flips giving 7/20.
7.DPSR.2.4
Compare experimental and theoretical probabilities for a simple experiment and explain how they differ, like 7/20 heads versus the expected 1/2.

Measurement, Geometry, and Spatial Reasoning

11 standards
7.MGSR.1.1
Point out a circle's center, radius, diameter and chords on a drawing, like a chord joining any two points on the circle.
7.MGSR.1.2
Describe how a circle's radius, diameter and circumference are related, like the diameter being twice the radius and C = πd.
7.MGSR.1.3
Find the circumference or area of circles in math and real-life problems, like the area of a pizza with a 7-inch radius.
7.MGSR.1.4
Use the Triangle Inequality Theorem to decide whether three side lengths can make a triangle, like 3, 4 and 8, which cannot.
7.MGSR.1.5
Compute how much space right prisms and right pyramids with triangular or quadrilateral bases hold, in math and real-life problems, like a triangular tent.
7.MGSR.1.6
Find the surface area, the total area of all faces, of right prisms and pyramids with triangular or quadrilateral bases, like wrapping paper for a gift box.
7.MGSR.2.1
Use the Triangle Sum Theorem, that a triangle's angles add to 180°, to find the third angle when two are known, like 180 − 50 − 70 = 60.
7.MGSR.2.2
Use scale drawings and scale factors to find real lengths and areas in math and real-life problems, like room sizes from a floor plan at 1 inch = 4 feet.
7.MGSR.2.3
Given one angle where two lines cross, find the other angles and name how they relate as vertical, adjacent, supplementary or complementary.
7.MGSR.2.4
Write and solve equations about angles formed by two crossing lines, using supplementary, complementary, vertical and adjacent angles, like x + 40 = 180.
7.MGSR.3.1
Find how far apart two points on the coordinate plane are when they share an x-coordinate or a y-coordinate, counting across the axis when signs differ.

Numerical Reasoning

2 standards
7.NR.1.1
Convert rational numbers among fractions, mixed numbers, decimals and percents, like −1 3/4 = −1.75 = −175%, not including turning repeating decimals into fractions.
7.NR.2.1
Compare two rational numbers, including negatives, in math and real-life situations and record it with =, ≠, <, >, ≤ or ≥.

Patterns, Algebra, and Functional Reasoning

12 standards
7.PAFR.1.1
Use proportional reasoning to solve math and real-life problems with ratios and percents, like tax, tips, discounts or a 15% markup.
7.PAFR.1.2
Model a real-life proportional relationship with a function, like y = 2.5x for the cost of x pounds of apples at $2.50 a pound.
7.PAFR.1.3
Find the constant of proportionality in a proportional relationship, the number each x is multiplied by to get y, like 4 in y = 4x.
7.PAFR.2.1
Set up and solve one-variable equations and inequalities that take several steps and use rational numbers, like 2x − 3.5 = 7 or −3x + 4 > 10, from math and real life.
7.PAFR.2.2
Write and evaluate one-variable expressions that model math and real-life situations, like 12 + 0.5m for a phone bill with m extra minutes.
7.PAFR.2.3
Find unit rates, including ones built from complex fractions with the same or different units, like 1/2 mile in 1/4 hour being 2 miles per hour.
7.PAFR.2.4
Use dimensional analysis to convert between metric and customary units, like inches to centimeters or miles to kilometers.
7.PAFR.3.1
Simplify number expressions with integer exponents using all the exponent laws, including powers of products and quotients and zero and negative exponents, like 2³ × 2⁻⁵ = 1/4.
7.PAFR.3.2
Tell whether two linear expressions are equal for every value of the variable, like 2x + 4 + x and 3x + 4.
7.PAFR.3.3
Understand that one algebraic expression can be written in several equivalent ways, and pick the form that best fits a real-life situation, like a 20% discount as 0.8p.
7.PAFR.3.4
Factor linear expressions with integer coefficients by pulling out the greatest common factor, like turning 6x + 9 into 3 groups of 2x + 3.
7.PAFR.3.5
Use all four operations with rational numbers, including negative fractions and decimals, to solve math and real-life problems, like −2.5 × 3/4.

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.