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 standards. 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 (6-L.1)
Reciprocals (6-L.2)
Divide whole numbers and unit fractions (6-L.3)
Divide fractions by whole numbers in recipes (6-L.4)
Divide fractions (6-L.5)
Estimate quotients when dividing mixed numbers (6-L.6)
Divide fractions and mixed numbers (6-L.7)
Divide fractions and mixed numbers: word problems (6-L.8)
6.NS.2 Fluently divide multi-digit whole numbers using a standard algorithmic approach.
Divisibility rules (6-C.1)
Division patterns with zeroes (6-C.2)
Divide numbers ending in zeroes: word problems (6-C.3)
Estimate quotients (6-C.4)
Divide whole numbers - 2-digit divisors (6-C.5)
Divide whole numbers - 3-digit divisors (6-C.6)
6.NS.3 Fluently add, subtract, multiply and divide multi-digit decimal numbers using a standard algorithmic approach.
Add and subtract decimal numbers (6-G.1)
Add and subtract decimals: word problems (6-G.2)
Estimate sums and differences of decimals (6-G.3)
Maps with decimal distances (6-G.4)
Estimate products of decimal numbers (6-H.1)
Multiply decimals (6-H.2)
Inequalities with decimal multiplication (6-H.3)
Divide decimals by whole numbers (6-H.4)
Divide decimals by whole numbers: word problems (6-H.5)
Multiply and divide decimals by powers of ten (6-H.6)
Division with decimal quotients (6-H.7)
Inequalities with decimal division (6-H.8)
Add, subtract, multiply, or divide two decimals (6-O.4)
Add, subtract, multiply, or divide two decimals: word problems (6-O.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 (6-E.7)
GCF and LCM: word problems (6-E.9)
6.NS.4.b Compute the least common multiple (LCM) of two numbers both less than or equal to 12.
Least common multiple (6-E.8)
GCF and LCM: word problems (6-E.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 (6-E.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 (6-M.1)
Compare temperatures above and below zero (6-T.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 (6-M.2)
Integers on number lines (6-M.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.
Objects on a coordinate plane (6-X.1)
Graph points on a coordinate plane (6-X.2)
Quadrants (6-X.3)
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 (6-DD.4)
6.NS.6.d Plot rational numbers on number lines and ordered pairs on coordinate planes.
Decimal number lines (6-F.9)
Integers on number lines (6-M.3)
Graph integers on horizontal and vertical number lines (6-M.4)
Objects on a coordinate plane (6-X.1)
Graph points on a coordinate plane (6-X.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.
Write inequalities from number lines (6-AA.3)
6.NS.7.c Use concepts of equality and inequality to write and to explain real-world and mathematical situations.
Write variable expressions: word problems (6-Y.2)
Does x satisfy an equation? (6-Z.1)
Write an equation from words (6-Z.3)
Solve one-step equations with whole numbers (6-Z.6)
Solutions to inequalities (6-AA.1)
Solve one-step inequalities (6-AA.4)
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 (6-M.2)
Absolute value of rational numbers (6-P.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 (6-P.2)
Absolute value of rational numbers (6-P.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 (6-X.2)
Quadrants (6-X.3)
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 (6-X.5)
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 (6-X.5)
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 (6-F.4)
Convert between improper fractions and mixed numbers (6-I.8)
Convert between decimals and fractions or mixed numbers (6-I.9)
Convert between percents, fractions, and decimals (6-S.1)
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 (6-R.1)
Write a ratio: word problems (6-R.2)
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 (6-R.1)
6.RP.2.b Recognize that a rate is a type of ratio involving two different units.
Unit rates and equivalent rates (6-R.7)
Unit rates: word problems (6-R.9)
6.RP.2.c Convert from rates to unit rates.
Unit rates and equivalent rates (6-R.7)
Unit rates: word problems (6-R.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.
Ratio tables (6-R.5)
Objects on a coordinate plane (6-X.1)
6.RP.3.b Use multiple representations, including tape diagrams, tables, double number lines, and equations, to find missing values of equivalent ratios.
Identify equivalent ratios (6-R.3)
Equivalent ratios: word problems (6-R.6)
6.RP.3.c Use two tables to compare related ratios.
Compare ratios: word problems (6-R.8)
6.RP.3.d Apply concepts of unit rate to solve problems, including unit pricing and constant speed.
Unit rates and equivalent rates (6-R.7)
Unit rates: word problems (6-R.9)
Unit prices (6-V.2)
Unit prices with fractions and decimals (6-V.3)
Unit prices with customary unit conversions (6-V.4)
6.RP.3.e Understand that a percentage is a rate per 100 and use this to solve problems involving wholes, parts, and percentages.
Percents of numbers and money amounts (6-S.4)
Percents of numbers: word problems (6-S.5)
Which is the better coupon? (6-V.1)
Unit prices (6-V.2)
Sale prices (6-V.5)
Sale prices: find the original price (6-V.6)
Percents - calculate tax, tip, mark-up, and more (6-V.7)
6.RP.3.f Solve one-step problems involving ratios and unit rates (e.g., dimensional analysis).
Unit rates and equivalent rates (6-R.7)
Unit rates: word problems (6-R.9)
Scale drawings: word problems (6-R.12)
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 (6-D.1)
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 (6-Y.1)
Write variable expressions: word problems (6-Y.2)
Evaluate variable expressions with whole numbers (6-Y.3)
6.EEI.2.b Investigate and identify parts of algebraic expressions using mathematical terminology, including term, coefficient, constant, and factor.
Identify terms and coefficients (6-Y.6)
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.
Write equivalent expressions using properties (6-Y.12)
Identify equivalent expressions (6-Y.14)
6.EEI.4 Apply mathematical properties (e.g., commutative, associative, distributive) to justify that two expressions are equivalent.
Multiply using the distributive property (6-Y.9)
Write equivalent expressions using properties (6-Y.12)
Identify equivalent expressions (6-Y.14)
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 an equation? (6-Z.1)
Which x satisfies an equation? (6-Z.2)
Solutions to inequalities (6-AA.1)
Does (x, y) satisfy an equation? (6-BB.1)
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: word problems (6-Y.2)
6.EEI.7 Write and solve one-step linear equations in one variable involving nonnegative rational numbers for real-world and mathematical situations.
Model and solve equations using algebra tiles (6-Z.4)
Write and solve equations that represent diagrams (6-Z.5)
Solve one-step equations with whole numbers (6-Z.6)
Solve one-step equations with decimals, fractions, and mixed numbers (6-Z.7)
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.
Graph inequalities on number lines (6-AA.2)
Write inequalities from number lines (6-AA.3)
6.EEI.8.b Recognize that inequalities have infinitely many solutions.
Write inequalities from number lines (6-AA.3)
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.
Identify independent and dependent variables (6-BB.2)
Write a two-variable equation (6-BB.6)
6.EEI.9.b Analyze the relationship between independent and dependent variables using graphs and tables.
Complete a table for a two-variable relationship (6-BB.5)
Graph a two-variable equation (6-BB.8)
Write an equation from a graph using a table (6-BB.10)
6.EEI.9.c Translate among graphs, tables, and equations.
Identify the graph of an equation (6-BB.7)
Graph a two-variable equation (6-BB.8)
Write an equation from a graph using a table (6-BB.10)
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 of quadrilaterals (6-FF.5)
Area of compound figures (6-FF.6)
Area between two rectangles (6-FF.7)
Area between two triangles (6-FF.8)
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 (6-FF.14)
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.
Objects on a coordinate plane (6-X.1)
Graph points on a coordinate plane (6-X.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 (6-X.5)
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 three-dimensional figures (6-EE.3)
6.DS Data Analysis and Statistics
6.DS.1 Differentiate between statistical and non-statistical questions.
Identify representative, random, and biased samples (6-HH.5)
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.
Create line plots (6-GG.4)
Stem-and-leaf plots (6-GG.18)
Interpret box-and-whisker plots (6-GG.19)
Calculate mean, median, mode, and range (6-HH.1)
Interpret charts to find mean, median, mode, and range (6-HH.2)
Mean, median, mode, and range: find the missing number (6-HH.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 (6-HH.1)
Interpret charts to find mean, median, mode, and range (6-HH.2)
Mean, median, mode, and range: find the missing number (6-HH.3)
6.DS.4 Select and create an appropriate display for numerical data, including dot plots, histograms, and box plots.
Interpret pictographs (6-GG.1)
Create pictographs (6-GG.2)
Interpret line plots (6-GG.3)
Create line plots (6-GG.4)
Create and interpret line plots with fractions (6-GG.5)
Create frequency tables (6-GG.6)
Interpret bar graphs (6-GG.7)
Create bar graphs (6-GG.8)
Interpret double bar graphs (6-GG.9)
Create double bar graphs (6-GG.10)
Interpret histograms (6-GG.11)
Create histograms (6-GG.12)
Circle graphs with fractions (6-GG.13)
Interpret line graphs (6-GG.14)
Create line graphs (6-GG.15)
Interpret double line graphs (6-GG.16)
Create double line graphs (6-GG.17)
Stem-and-leaf plots (6-GG.18)
Interpret box-and-whisker plots (6-GG.19)
Choose the best type of graph (6-GG.20)
6.DS.5 Describe numerical data sets in relation to their real-world context.
6.DS.5.a State the sample size.
Create frequency tables (6-GG.6)
Create histograms (6-GG.12)
6.DS.5.b Describe the qualitative aspects of the data (e.g., how it was measured, units of measurement).
Identify representative, random, and biased samples (6-HH.5)
6.DS.5.c Give measures of center (median, mean).
Calculate mean, median, mode, and range (6-HH.1)
Interpret charts to find mean, median, mode, and range (6-HH.2)
Mean, median, mode, and range: find the missing number (6-HH.3)
6.DS.5.d Find measures of variability (interquartile range, mean absolute deviation) using a number line.
6.DS.5.e Describe the overall pattern (shape) of the distribution.
6.DS.5.f Justify the choices for measure of center and measure of variability based on the shape of the distribution.
6.DS.5.g Describe the impact that inserting or deleting a data point has on the measures of center (median, mean) for a data set.
Mean, median, mode, and range: find the missing number (6-HH.3)