Gizmos for South Carolina - Mathematics: 6th Grade (2025 College- and Career-Ready Standards adopted 2023)

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.

6.MPS: : Mathematical Process Standards

6.MPS.PS: : PROBLEM SOLVING

6.MPS.PS.1: : Make sense of problems and persevere in solving them strategically.

6.MPS.RC: : REPRESENTATION & COMMUNICATION

6.MPS.RC.1: : Explain ideas using precise and contextually appropriate mathematical language, tools, and models.

6.MPS.C: : CONNECTIONS

6.MPS.C.1: : Demonstrate a deep and flexible conceptual understanding of mathematical ideas, operations, and relationships while making real-world connections.

6.MPS.AJ: : ANALYZE & JUSTIFY

6.MPS.AJ.1: : Use critical thinking skills to reason both abstractly and quantitatively.

6.MPS.SP: : STRUCTURE & PATTERNS

6.MPS.SP.1: : Identify and apply regularity in repeated reasoning to make generalizations.

6.DPSR: : Data, Probability, and Statistical Reasoning

6.DPSR.1: : Analyze data sets to identify their statistical elements.

6.DPSR.1.1: : Identify the sample size for a numerical set of data in mathematical and real-world situations.

6.DPSR.1.2: : Create box plots to represent numerical data sets in mathematical and real-world situations.

6.DPSR.1.3: : Use the shape of the graph to determine whether median or mode best describes the data set.

6.DPSR.1.4: : Calculate and interpret the median, mode, range, interquartile range in mathematical and real-world situations.

6.DPSR.2: : Calculate and interpret probability.

6.DPSR.2.1: : Given the probability of a random event, expressed as a number from 0 to 1, state the likelihood of the event occurring.

6.DPSR.2.2: : Find the probability of simple events in mathematical and real-world situations. Limit denominators to 2, 4, 5, 8, 10, 25, 50, and 100.

6.DPSR.2.3: : Given the probability of an event, identify and calculate the complement of that event.

6.MGSR: : Measurement, Geometry, and Spatial Reasoning

6.MGSR.1: : Determine the measurements of geometric figures.

6.MGSR.1.1: : Find the area of a triangle, square, rectangle, parallelogram, and trapezoid.

6.MGSR.1.2: : Create nets to represent three-dimensional shapes.

6.MGSR.1.3: : Calculate the surface area of rectangular prisms, right triangular prisms, rectangular pyramids, and right triangular pyramids using two-dimensional nets.

6.MGSR.1.4: : Find the area of composite figures by decomposing them into triangles and rectangles to solve mathematical and real-world situations.

6.MGSR.1.5: : Calculate the volume of a right rectangular prism using the formula (V = Bh) in mathematical and real-world situations.

6.MGSR.2: : Determine angle and/or side relationships.

6.MGSR.2.1: : Determine if two angles are complementary or supplementary.

6.MGSR.3: : Graph on the coordinate plane.

6.MGSR.3.1: : Plot ordered pairs in all four quadrants and identify points on a graph by writing ordered pairs.

6.MGSR.3.2: : Graph a polygon on a coordinate plane given the coordinates of the vertices.

6.NR: : Numerical Reasoning

6.NR.1: : Translate among multiple representations of rational numbers.

6.NR.1.1: : Convert positive rational numbers into equivalent forms among terminating decimals, fractions (including mixed numbers), and percentages. Limit fractions to denominators of 2, 4, 5, 8, 10, 20, 25, 50, 100, and 200.

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

6.NR.2.1: : Compare two positive rational numbers and write statements using the symbols for is equal to (=), is not equal to, is less than (<), and/or is greater than (>) in mathematical and real-world situations. Limit fractions to denominators of 2, 4, 5, 8, 10, 20, 25, 50, 100, and 200.

6.NR.2.2: : Sort a set of positive rational numbers in ascending and/or descending order in mathematical and real-world situations. Limit sets to no more than 5 numbers. Limit fractions to denominators of 2, 4, 5, 8, 10, 20, 25, 50, 100, and 200.

6.NR.2.3: : Represent quantities with integers in real-world situations and explain the meaning of zero.

6.NR.2.4: : Identify and compare the opposite value and absolute value of positive and negative rational numbers.

6.PAFR: : Patterns, Algebra, and Functional Reasoning

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

6.PAFR.1.1: : Use tables, graphs, verbal descriptions, and equations to represent the relationship between independent and dependent variables of functions.

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

6.PAFR.2.1: : Identify parts of an algebraic expression using the mathematical terms sum, difference, term, variable, product, factor, quotient, coefficient, and constant.

6.PAFR.2.2: : Write and evaluate numerical expressions containing powers. Limit to positive whole number bases and positive whole number exponents.

6.PAFR.2.3: : Evaluate numerical expressions with positive whole number bases and positive whole number exponents using the Order of Operations.

6.PAFR.2.5: : Write and solve one-step equations and inequalities with one variable involving positive rational numbers in mathematical and real-world situations.

6.PAFR.2.6: : Interpret the concept of a ratio as the relationship between two quantities, including part-to-part and part-to-whole.

6.PAFR.2.7: : Explain the relationship between ratios and rates, including unit rates.

6.PAFR.2.8: : Solve ratio and rate problems in real-world situations.

6.PAFR.2.9: : Use one-step dimensional analysis to convert units within the metric or customary systems.

6.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.

6.PAFR.3.1: : Represent the solutions of inequalities on a number line and explain that the solution set may contain an infinite number of solutions. Limited to the symbols for is less than (<) and is greater than (>).

6.PAFR.3.4: : Apply the properties of operations to create equivalent algebraic expressions and justify the properties used. Limit properties to the Identity, Inverse, Commutative, Associative, and Distributive Properties.

6.PAFR.3.5: : Add, subtract, multiply, and divide integers in mathematical and real-world situations.

6.PAFR.3.6: : Add, subtract, multiply, and divide positive fractions, including mixed numbers in mathematical and real-world situations. Limit fractions to denominators of 2, 4, 5, 8, 10, 20, 25, 50, 100, and 200.

6.PAFR.3.7: : Add, subtract, multiply, and divide multidigit positive decimals, up to the thousandths place, to solve problems in mathematical and real-world situations.

Correlation last revised: 8/22/2024

South Carolina - Mathematics: 6th Grade

2025 College- and Career-Ready Standards | Adopted: 2023

6.MPS: : Mathematical Process Standards

6.DPSR: : Data, Probability, and Statistical Reasoning

6.MGSR: : Measurement, Geometry, and Spatial Reasoning

6.NR: : Numerical Reasoning

6.PAFR: : Patterns, Algebra, and Functional Reasoning