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South Carolina Standards

South Carolina 6th Grade Math Standards

All 39 South Carolina math standards for 6th 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

7 standards
6.DPSR.1.1
Tell how many values make up a numerical data set, its sample size, in math and real-life situations, like 25 survey answers.
6.DPSR.1.2
Make box plots that show the minimum, quartiles, median and maximum of numerical data from math and real-life situations, like test scores.
6.DPSR.1.3
Look at the shape of a graph to decide whether the median or the mode gives the better picture of a data set.
6.DPSR.1.4
Find and explain the median, mode, range and interquartile range of data sets from math and real-life situations, like daily temperatures.
6.DPSR.2.1
Describe how likely an event is from its probability between 0 and 1, like 0.9 meaning very likely and 0.5 meaning equally likely or not.
6.DPSR.2.2
Work out how likely simple events are in math and real-life situations, like 3/8 for a spinner, with denominators of 2, 4, 5, 8 or 10, or 20, 25, 50, 100 or 200.
6.DPSR.2.3
Given an event's probability, name its complement and find that probability by subtracting from 1, like 0.3 for rain means 0.7 for no rain.

Measurement, Geometry, and Spatial Reasoning

9 standards
6.MGSR.1.1
Find the area of triangles, squares, rectangles, parallelograms and trapezoids, like a trapezoid with bases 6 and 10 and height 4.
6.MGSR.1.2
Draw nets, flat patterns that fold up into solids, to show three-dimensional shapes like cubes, prisms and pyramids.
6.MGSR.1.3
Use nets to find the surface area of right rectangular and triangular prisms and right rectangular and triangular pyramids.
6.MGSR.1.4
Split composite shapes into triangles and rectangles to find their area in math and real-life problems, like the floor of an oddly shaped room.
6.MGSR.1.5
Find the volume of a right rectangular prism with V = Bh, base area times height, in math and real-life problems, like a fish tank.
6.MGSR.2.1
Decide whether two angles are complementary, adding to 90°, or supplementary, adding to 180°.
6.MGSR.2.2
Use a protractor to measure angles, like reading 135° for an obtuse angle.
6.MGSR.3.1
Place points in any of the four quadrants from their ordered pairs, and read the ordered pair for any point shown on a graph.
6.MGSR.3.2
Graph a polygon on the coordinate plane from the coordinates of its vertices, like a rectangle with corners in different quadrants.

Numerical Reasoning

5 standards
6.NR.1.1
Rewrite positive rational numbers as fractions, mixed numbers, terminating decimals or percents, like 3/8 = 37.5%, with denominators of 2, 4, 5, 8 or 10, or 20, 25, 50, 100 or 200.
6.NR.2.1
Compare two positive rational numbers in math and real-life situations, record it using =, ≠, < or >, with denominators of 2, 4, 5, 8 or 10, or 20, 25, 50, 100 or 200.
6.NR.2.2
Put up to 5 positive rational numbers in increasing or decreasing order in math and real-life problems, with denominators of 2, 4, 5, 8 or 10, or 20, 25, 50, 100 or 200.
6.NR.2.3
Use positive and negative integers to show real-life amounts, like a temperature of −5° or a $20 debt, and explain what zero stands for in each case.
6.NR.2.4
Find the opposite and absolute value of rational numbers, positive or negative, and compare them, like −2.5 and 2.5 both sitting 2.5 from zero.

Patterns, Algebra, and Functional Reasoning

18 standards
6.PAFR.1.1
Show how a dependent variable changes with an independent variable using tables, graphs, words and equations, like cost = 3 × number of tickets.
6.PAFR.1.2
Tell which variable is independent and which is dependent in a function, like hours worked and pay earned, in math and real-life situations.
6.PAFR.2.1
Name the parts of an algebraic expression with words like term, variable, coefficient, constant, factor, sum, difference, product and quotient, like in 4x + 7.
6.PAFR.2.2
Write and evaluate numerical expressions with powers that have positive whole-number bases and exponents, like 2⁴ = 16 or 3² + 5.
6.PAFR.2.3
Evaluate numerical expressions with whole-number powers by following the order of operations, like 2 + 3² × 4 = 38.
6.PAFR.2.4
Use variables to stand for amounts in math and real-life situations, write expressions with them, and evaluate, like 5n for the cost of n notebooks at $5.
6.PAFR.2.5
Write and solve one-variable, one-step equations and inequalities with positive rational numbers, like x + 2.5 = 7 or 3x > 12, including real-life problems.
6.PAFR.2.6
Explain a ratio as a comparison of two amounts, either part to part, like 3 boys to 5 girls, or part to whole, like 3 boys to 8 students.
6.PAFR.2.7
Explain how ratios and rates are related, including unit rates, like 120 miles in 2 hours being 60 miles per hour.
6.PAFR.2.8
Solve real-life ratio and rate problems, like finding the better buy or how much paint covers 3 walls.
6.PAFR.2.9
Use one-step dimensional analysis, multiplying by a conversion factor, to change units within metric or customary measures, like 5 km × 1,000 m per km = 5,000 m.
6.PAFR.3.1
Graph inequalities that use < or > on a number line, and explain why such an inequality can have infinitely many solutions, like every number above 4 for x > 4.
6.PAFR.3.2
Find a number's multiplicative inverse, or reciprocal, and show that the two multiply to 1, like 3/4 × 4/3 = 1.
6.PAFR.3.3
Find a number's additive inverse, or opposite, and show that the two add to zero, like 7 + −7 = 0.
6.PAFR.3.4
Write equivalent expressions using the commutative, associative, distributive, identity and inverse properties and name each property used, like 4 + x + 6 = x + 10.
6.PAFR.3.5
Add, subtract, multiply and divide integers in math and real-life problems, like −8 + 3 or −6 × −4.
6.PAFR.3.6
Add, subtract, multiply and divide positive fractions and mixed numbers in math and real-life problems, like 2 1/2 ÷ 3/4.
6.PAFR.3.7
Use all four operations on positive multi-digit decimals up to thousandths to solve math and real-life problems, like 12.375 ÷ 2.5 or 4.08 × 3.6.

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.