Skills available for
South Carolina sixth-grade math standards
Standards
are in bold, followed by a list of the IXL math
skills that are aligned to that
standard.
Students can practice
these skills
online at www.ixl.com.
Standards: South Carolina College- and Career-Ready Standards
6.NS The Number System
6.NS.1 Compute and represent quotients of positive fractions using a variety of procedures (e.g., visual models, equations, and real-world situations).
Divide whole numbers by unit fractions using models (Sixth grade - W.1)
Reciprocals (Sixth grade - W.2)
Divide whole numbers and unit fractions (Sixth grade - W.3)
Divide fractions by whole numbers in recipes (Sixth grade - W.4)
Divide fractions (Sixth grade - W.5)
Estimate quotients when dividing mixed numbers (Sixth grade - W.6)
Divide fractions and mixed numbers (Sixth grade - W.7)
Divide fractions and mixed numbers: word problems (Sixth grade - W.8)
6.NS.2 Fluently divide multi-digit whole numbers using a standard algorithmic approach.
Divisibility rules (Sixth grade - L.1)
Division patterns with zeroes (Sixth grade - L.2)
Divide numbers ending in zeroes: word problems (Sixth grade - L.3)
Add, subtract, multiply, and divide decimals (Sixth grade - X.4)
Add, subtract, multiply, and divide decimals: word problems (Sixth grade - X.5)
6.NS.4 Find common factors and multiples using two whole numbers.
6.NS.4.a Compute the greatest common factor (GCF) of two numbers both less than or equal to 100.
Greatest common factor (Sixth grade - N.7)
GCF and LCM: word problems (Sixth grade - N.9)
6.NS.4.b Compute the least common multiple (LCM) of two numbers both less than or equal to 12.
Least common multiple (Sixth grade - N.8)
GCF and LCM: word problems (Sixth grade - N.9)
6.NS.4.c Express sums of two whole numbers, each less than or equal to 100, using the distributive property to factor out a common factor of the original addends.
Identify factors (Sixth grade - N.4)
6.NS.5 Understand that the positive and negative representations of a number are opposites in direction and value. Use integers to represent quantities in real-world situations and explain the meaning of zero in each situation.
Understanding integers (Sixth grade - C.1)
Working with temperatures above and below zero (Sixth grade - Y.9)
6.NS.6 Extend the understanding of the number line to include all rational numbers and apply this concept to the coordinate plane.
6.NS.6.a Understand the concept of opposite numbers, including zero, and their relative locations on the number line.
Absolute value and opposite integers (Sixth grade - C.2)
Integers on number lines (Sixth grade - C.3)
6.NS.6.b Understand that the signs of the coordinates in ordered pairs indicate their location on an axis or in a quadrant on the coordinate plane.
Coordinate graphs review (Sixth grade - Q.1)
Graph points on a coordinate plane (Sixth grade - Q.2)
6.NS.6.c Recognize when ordered pairs are reflections of each other on the coordinate plane across one axis, both axes, or the origin.
Reflections: graph the image (Sixth grade - Z.18)
6.NS.6.d Plot rational numbers on number lines and ordered pairs on coordinate planes.
Decimal number lines (Sixth grade - B.9)
Integers on number lines (Sixth grade - C.3)
Graph integers on number lines (Sixth grade - C.4)
Coordinate graphs review (Sixth grade - Q.1)
Graph points on a coordinate plane (Sixth grade - Q.2)
6.NS.7 Understand and apply the concepts of comparing, ordering, and finding absolute value to rational numbers.
6.NS.7.a Interpret statements using equal to (=) and not equal to (≠).
6.NS.7.b Interpret statements using less than (<), greater than (>), and equal to (=) as relative locations on the number line.
Inequalities on number lines (Sixth grade - P.22)
6.NS.7.c Use concepts of equality and inequality to write and to explain real-world and mathematical situations.
Write variable expressions to represent word problems (Sixth grade - P.1)
Does x satisfy the equation? (Sixth grade - P.5)
Solve one-step equations with whole numbers (Sixth grade - P.6)
Solutions to variable inequalities (Sixth grade - P.23)
Solve one-step linear inequalities (Sixth grade - P.24)
6.NS.7.d Understand that absolute value represents a number's distance from zero on the number line and use the absolute value of a rational number to represent real-world situations.
Absolute value and opposite integers (Sixth grade - C.2)
Absolute value of rational numbers (Sixth grade - D.3)
6.NS.7.e Recognize the difference between comparing absolute values and ordering rational numbers. For negative rational numbers, understand that as the absolute value increases, the value of the negative number decreases.
Put rational numbers in order (Sixth grade - D.2)
Absolute value of rational numbers (Sixth grade - D.3)
6.NS.8 Extend knowledge of the coordinate plane to solve real-world and mathematical problems involving rational numbers.
6.NS.8.a Plot points in all four quadrants to represent the problem.
Graph points on a coordinate plane (Sixth grade - Q.2)
6.NS.8.b Find the distance between two points when ordered pairs have the same x-coordinates or same y-coordinates.
Distance between two points (Sixth grade - Q.4)
6.NS.8.c Relate finding the distance between two points in a coordinate plane to absolute value using a number line.
Distance between two points (Sixth grade - Q.4)
6.NS.9 Investigate and translate among multiple representations of rational numbers (fractions, decimal numbers, percentages). Fractions should be limited to those with denominators of 2, 3, 4, 5, 8, 10, and 100.
Convert decimals to mixed numbers (Sixth grade - B.4)
Convert between improper fractions and mixed numbers (Sixth grade - T.8)
Convert between decimals and fractions or mixed numbers (Sixth grade - T.9)
Convert between percents, fractions, and decimals (Sixth grade - AA.11)
6.RP Ratios and Proportional Relationships
6.RP.1 Interpret the concept of a ratio as the relationship between two quantities, including part to part and part to whole.
Write a ratio to describe objects in a picture (Sixth grade - AA.1)
Ratios: word problems (Sixth grade - AA.3)
6.RP.2 Investigate relationships between ratios and rates.
6.RP.2.a Translate between multiple representations of ratios (i.e., a/b, a:b, a to b, visual models).
Write a ratio to describe objects in a picture (Sixth grade - AA.1)
6.RP.2.b Recognize that a rate is a type of ratio involving two different units.
Unit rates and equivalent rates (Sixth grade - AA.8)
Unit rates: word problems (Sixth grade - AA.9)
6.RP.2.c Convert from rates to unit rates.
Unit rates and equivalent rates (Sixth grade - AA.8)
Unit rates: word problems (Sixth grade - AA.9)
6.RP.3 Apply the concepts of ratios and rates to solve real-world and mathematical problems.
6.RP.3.a Create a table consisting of equivalent ratios and plot the results on the coordinate plane.
Coordinate graphs review (Sixth grade - Q.1)
Ratio tables (Sixth grade - AA.2)
6.RP.3.b Use multiple representations, including tape diagrams, tables, double number lines, and equations, to find missing values of equivalent ratios.
Equivalent ratios (Sixth grade - AA.4)
Equivalent ratios: word problems (Sixth grade - AA.5)
6.RP.3.c Use two tables to compare related ratios.
Compare ratios: word problems (Sixth grade - AA.6)
6.RP.3.d Apply concepts of unit rate to solve problems, including unit pricing and constant speed.
Unit prices: which is the better buy? (Sixth grade - G.2)
Unit prices with fractions and decimals (Sixth grade - G.3)
Unit prices with customary unit conversions (Sixth grade - G.4)
Unit rates and equivalent rates (Sixth grade - AA.8)
Unit rates: word problems (Sixth grade - AA.9)
6.RP.3.e Understand that a percentage is a rate per 100 and use this to solve problems involving wholes, parts, and percentages.
Which is the better coupon? (Sixth grade - G.1)
Unit prices: which is the better buy? (Sixth grade - G.2)
Sale prices (Sixth grade - G.5)
Sale prices: find the original price (Sixth grade - G.6)
Percents - calculate tax, tip, mark-up, and more (Sixth grade - G.7)
Percents of numbers and money amounts (Sixth grade - AA.14)
Percents of numbers: word problems (Sixth grade - AA.15)
6.RP.3.f Solve one-step problems involving ratios and unit rates (e.g., dimensional analysis).
Unit rates and equivalent rates (Sixth grade - AA.8)
Unit rates: word problems (Sixth grade - AA.9)
Scale drawings (Sixth grade - AA.10)
6.EEI Expressions, Equations, and Inequalities
6.EEI.1 Write and evaluate numerical expressions involving whole-number exponents and positive rational number bases using the Order of Operations.
Write multiplication expressions using exponents (Sixth grade - E.1)
Evaluate exponents (Sixth grade - E.2)
Exponents: solve for the variable (Sixth grade - E.3)
Exponents with decimal bases (Sixth grade - E.4)
Exponents with fractional bases (Sixth grade - E.5)
6.EEI.2 Extend the concepts of numerical expressions to algebraic expressions involving positive rational numbers.
6.EEI.2.a Translate between algebraic expressions and verbal phrases that include variables.
Write variable expressions to represent word problems (Sixth grade - P.1)
Evaluate variable expressions with whole numbers (Sixth grade - P.2)
6.EEI.2.b Investigate and identify parts of algebraic expressions using mathematical terminology, including term, coefficient, constant, and factor.
Identify terms, coefficients, and monomials (Sixth grade - P.16)
6.EEI.2.c Evaluate real-world and algebraic expressions for specific values using the Order of Operations. Grouping symbols should be limited to parentheses, braces, and brackets. Exponents should be limited to whole-numbers.
Evaluate variable expressions with whole numbers (Sixth grade - P.2)
Simplify variable expressions using properties (Sixth grade - P.18)
Distributive property (Sixth grade - P.19)
6.EEI.4 Apply mathematical properties (e.g., commutative, associative, distributive) to justify that two expressions are equivalent.
Simplify variable expressions using properties (Sixth grade - P.18)
Distributive property (Sixth grade - P.19)
6.EEI.5 Understand that if any solutions exist, the solution set for an equation or inequality consists of values that make the equation or inequality true.
Does x satisfy the equation? (Sixth grade - P.5)
Does (x, y) satisfy an equation? (Sixth grade - P.15)
Solutions to variable inequalities (Sixth grade - P.23)
6.EEI.6 Write expressions using variables to represent quantities in real-world and mathematical situations. Understand the meaning of the variable in the context of the situation.
Write variable expressions to represent word problems (Sixth grade - P.1)
6.EEI.7 Write and solve one-step linear equations in one variable involving nonnegative rational numbers for real-world and mathematical situations.
Solve one-step equations with whole numbers (Sixth grade - P.6)
6.EEI.8 Extend knowledge of inequalities used to compare numerical expressions to include algebraic expressions in real-world and mathematical situations.
6.EEI.8.a Write an inequality of the form x > c or x < c and graph the solution set on a number line.
Inequalities on number lines (Sixth grade - P.22)
6.EEI.8.b Recognize that inequalities have infinitely many solutions.
Inequalities on number lines (Sixth grade - P.22)
6.EEI.9 Investigate multiple representations of relationships in real-world and mathematical situations.
6.EEI.9.a Write an equation that models a relationship between independent and dependent variables.
Write linear functions (Sixth grade - P.11)
6.EEI.9.b Analyze the relationship between independent and dependent variables using graphs and tables.
Complete a function table (Sixth grade - P.10)
Write the linear function shown in a graph (Sixth grade - Q.6)
Graph linear functions (Sixth grade - Q.7)
6.EEI.9.c Translate among graphs, tables, and equations.
Write the linear function shown in a graph (Sixth grade - Q.6)
Graph linear functions (Sixth grade - Q.7)
6.GM Geometry and Measurement
6.GM.1 Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.
Area (Sixth grade - Z.23)
Area of compound figures (Sixth grade - Z.24)
Area between two rectangles (Sixth grade - Z.25)
Area between two triangles (Sixth grade - Z.26)
6.GM.2 Use visual models (e.g., model by packing) to discover that the formulas for the volume of a right rectangular prism (V = lwh, V = Bh) are the same for whole or fractional edge lengths. Apply these formulas to solve real-world and mathematical problems.
Volume of cubes and rectangular prisms (Sixth grade - Z.36)
6.GM.3 Apply the concepts of polygons and the coordinate plane to real-world and mathematical situations.
6.GM.3.a Given coordinates of the vertices, draw a polygon in the coordinate plane.
Coordinate graphs review (Sixth grade - Q.1)
Graph points on a coordinate plane (Sixth grade - Q.2)
6.GM.3.b Find the length of an edge if the vertices have the same x-coordinates or same y-coordinates.
Distance between two points (Sixth grade - Q.4)
6.GM.4 Unfold three-dimensional figures into two-dimensional rectangles and triangles (nets) to find the surface area and to solve real-world and mathematical problems.
Nets of 3-dimensional figures (Sixth grade - Z.35)
6.DS Data Analysis and Statistics
6.DS.1 Differentiate between statistical and non-statistical questions.
Identify representative, random, and biased samples (Sixth grade - S.4)
6.DS.2 Use center (mean, median, mode), spread (range, interquartile range, mean absolute value), and shape (symmetrical, skewed left, skewed right) to describe the distribution of a set of data collected to answer a statistical question.
Calculate mean, median, mode, and range (Sixth grade - S.1)
Interpret charts to find mean, median, mode, and range (Sixth grade - S.2)
Mean, median, mode, and range: find the missing number (Sixth grade - S.3)
6.DS.3 Recognize that a measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary with a single number.
Calculate mean, median, mode, and range (Sixth grade - S.1)
Interpret charts to find mean, median, mode, and range (Sixth grade - S.2)
Mean, median, mode, and range: find the missing number (Sixth grade - S.3)
6.DS.4 Select and create an appropriate display for numerical data, including dot plots, histograms, and box plots.
Interpret pictographs (Sixth grade - R.1)
Create pictographs (Sixth grade - R.2)
Stem-and-leaf plots (Sixth grade - R.3)
Interpret line plots (Sixth grade - R.4)
Create line plots (Sixth grade - R.5)
Create and interpret line plots with fractions (Sixth grade - R.6)