Arkansas Mathematics Standards (adopted in 2023): Grade 6
Skills available for Arkansas Grade 6 math standards
Standard
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NCC
Number Concepts & Computations
Rational Numbers: Students use fractions, decimals, integers, and absolute values to represent real-world situations.
6.NCC.1 Explain positive and negative integers as being opposite values or directions and the meaning of 0 in a real-world context.
6.NCC.1 Explain positive and negative integers as being opposite values or directions and the meaning of 0 in a real-world context.
6.NCC.2 Find and plot rational numbers on horizontal and vertical number lines in real-world and mathematical problems.
6.NCC.2 Find and plot rational numbers on horizontal and vertical number lines in real-world and mathematical problems.
6.NCC.3 Compare rational numbers, using inequalities (<, >, ≤, ≥, ≠) and order on a number line.
Absolute value and integers
Positive decimals
Positive fractions
Positive fractions and decimals
Rational numbers
6.NCC.3 Compare rational numbers, using inequalities (<, >, ≤, ≥, ≠) and order on a number line.
Absolute value and integers
Positive decimals
Positive fractions
Positive fractions and decimals
Rational numbers
6.NCC.4 Interpret the absolute value of numbers for positive or negative quantities in a real-world context.
6.NCC.4 Interpret the absolute value of numbers for positive or negative quantities in a real-world context.
6.NCC.5 Convert between fractions, decimals, and percents in real-world and mathematical problems.
Convert using models
Convert between fractions, decimals, and percents
Word problems
6.NCC.5 Convert between fractions, decimals, and percents in real-world and mathematical problems.
Convert using models
Convert between fractions, decimals, and percents
Word problems
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    Coming soon: Checkpoint: Positive and negative numbers
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    Coming soon: Checkpoint: Positive and negative numbers
Rational Number Operations: Students extend previous knowledge of operations to decimals and fractions, involving positive rational numbers.
6.NCC.6 Interpret and represent quotients of fractions.
6.NCC.6 Interpret and represent quotients of fractions.
6.NCC.7 Solve problems involving the division of fractions in real-world and mathematical problems.
Divide fractions
Word problems
6.NCC.7 Solve problems involving the division of fractions in real-world and mathematical problems.
Divide fractions
Word problems
6.NCC.8 Divide multi-digit numbers fluently in real-world and mathematical problems.
6.NCC.8 Divide multi-digit numbers fluently in real-world and mathematical problems.
6.NCC.9 Use any standard algorithm to fluently add and subtract multi-digit decimals and fractions in real-world and mathematical problems.
Add and subtract decimals
Add and subtract fractions
6.NCC.9 Use any standard algorithm to fluently add and subtract multi-digit decimals and fractions in real-world and mathematical problems.
Add and subtract decimals
Add and subtract fractions
6.NCC.10 Use any standard algorithm to fluently multiply and divide multi-digit decimals and fractions in real-world and mathematical problems.
Multiply and divide decimals
Multiply fractions
Divide fractions
Multiply and divide decimals and fractions
Mixed operations
6.NCC.10 Use any standard algorithm to fluently multiply and divide multi-digit decimals and fractions in real-world and mathematical problems.
Multiply and divide decimals
Multiply fractions
Divide fractions
Multiply and divide decimals and fractions
Mixed operations
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Common Factors and Multiples: Students use factors and multiples to solve problems.
6.NCC.11 Solve real-world and mathematical problems with the greatest common factor of two whole numbers less than or equal to 100.
6.NCC.11 Solve real-world and mathematical problems with the greatest common factor of two whole numbers less than or equal to 100.
6.NCC.12 Solve real-world and mathematical problems with the least common multiple of two whole numbers less than or equal to 12.
6.NCC.12 Solve real-world and mathematical problems with the least common multiple of two whole numbers less than or equal to 12.
6.NCC.13 Use the distributive property and the greatest common factor to rewrite the sum of two whole numbers, 1 through 100.
6.NCC.13 Use the distributive property and the greatest common factor to rewrite the sum of two whole numbers, 1 through 100.
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PR
Proportional Relationships
Ratio & Rates: Students understand ratio concepts and use proportional reasoning to solve problems.
6.PR.1 Use precise ratio language and notation to describe a ratio as a relationship between two quantities.
6.PR.1 Use precise ratio language and notation to describe a ratio as a relationship between two quantities.
6.PR.2 Calculate unit rates to include unit pricing and constant speed.
Unit rates
Unit prices
Constant speed
6.PR.2 Calculate unit rates to include unit pricing and constant speed.
Unit rates
Unit prices
Constant speed
6.PR.3 Give examples of unit rates as a ratio that compares two quantities with different units of measure, limited to non-complex fractions.
6.PR.3 Give examples of unit rates as a ratio that compares two quantities with different units of measure, limited to non-complex fractions.
6.PR.4 Create various representations to compare ratios and find missing values to solve real-world and mathematical problems.
6.PR.4 Create various representations to compare ratios and find missing values to solve real-world and mathematical problems.
6.PR.5 Find a percent of a quantity as a rate per 100 and solve problems involving finding the whole when given a part and the percent.
Represent percentages
Convert between percents, fractions, and decimals
Solve percent problems with models
Find a percent of a number
Find what percent one number is of another
Find the whole
Solve percent problems
6.PR.5 Find a percent of a quantity as a rate per 100 and solve problems involving finding the whole when given a part and the percent.
Represent percentages
Convert between percents, fractions, and decimals
Solve percent problems with models
Find a percent of a number
Find what percent one number is of another
Find the whole
Solve percent problems
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ALG
Algebra
Expressions: Students extend their understanding of arithmetic to algebraic expressions.
6.ALG.1 Read and write expressions in real-world or mathematical problems in which letters stand for numbers.
6.ALG.1 Read and write expressions in real-world or mathematical problems in which letters stand for numbers.
6.ALG.2 Use mathematical terms to identify parts of an expression, including the names of operations, terms, factors, coefficients, variables, and constants.
6.ALG.2 Use mathematical terms to identify parts of an expression, including the names of operations, terms, factors, coefficients, variables, and constants.
6.ALG.3 Write and evaluate expressions for given values of variables, using order of operations, including expressions with whole number exponents.
Order of operations
Evaluate variable expressions
Real-world formulas
6.ALG.3 Write and evaluate expressions for given values of variables, using order of operations, including expressions with whole number exponents.
Order of operations
Evaluate variable expressions
Real-world formulas
6.ALG.4 Generate equivalent expressions by applying the associative, commutative, distributive, and identity properties.
6.ALG.4 Generate equivalent expressions by applying the associative, commutative, distributive, and identity properties.
6.ALG.5 Identify when two expressions are equivalent by using properties of operations including like terms.
6.ALG.5 Identify when two expressions are equivalent by using properties of operations including like terms.
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Equations & Inequalities: Students focus on reasoning about and solving equations and inequalities.
6.ALG.6 Use substitution to determine if a given value in a specified set makes an equation or inequality true.
6.ALG.6 Use substitution to determine if a given value in a specified set makes an equation or inequality true.
6.ALG.7 Write and solve one-step equations in real-world and mathematical problems, involving positive rational numbers and zero.
Solve equations
Real-world problems
6.ALG.7 Write and solve one-step equations in real-world and mathematical problems, involving positive rational numbers and zero.
Solve equations
Real-world problems
6.ALG.8 Write, solve, and graph one-step inequalities in real-world and mathematical problems.
6.ALG.8 Write, solve, and graph one-step inequalities in real-world and mathematical problems.
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GM
Geometry & Measurement
Area, Volume, & Surface Area: Students solve problems involving area, volume, and surface area.
6.GM.1 Find the area of triangles, quadrilaterals, and polygons by composing or decomposing to solve real-world and mathematical problems.
Triangles
Quadrilaterals
Compound figures
Word problems
6.GM.1 Find the area of triangles, quadrilaterals, and polygons by composing or decomposing to solve real-world and mathematical problems.
Triangles
Quadrilaterals
Compound figures
Word problems
6.GM.2 Apply the formulas V = lwh and V = Bh to find the volume of right rectangular prisms with fractional edge lengths to solve real-world and mathematical problems, including solving for an unknown dimension.
6.GM.2 Apply the formulas V = lwh and V = Bh to find the volume of right rectangular prisms with fractional edge lengths to solve real-world and mathematical problems, including solving for an unknown dimension.
6.GM.3 Construct nets of a rectangular prism, rectangular pyramid, triangular prism, and triangular pyramid, using the nets to find the surface area of these prisms.
6.GM.3 Construct nets of a rectangular prism, rectangular pyramid, triangular prism, and triangular pyramid, using the nets to find the surface area of these prisms.
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    Coming soon: Checkpoint: Area of polygons
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    Coming soon: Checkpoint: Surface area and volume
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    Coming soon: Checkpoint: Area of polygons
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    Coming soon: Checkpoint: Surface area and volume
Coordinate Plane System: Students graph points in all four quadrants.
6.GM.4 Find and graph pairs of rational numbers in all four quadrants of the coordinate plane in real-world and mathematical problems.
6.GM.4 Find and graph pairs of rational numbers in all four quadrants of the coordinate plane in real-world and mathematical problems.
6.GM.5 Draw polygons in the coordinate plane when given coordinates for the vertices.
6.GM.5 Draw polygons in the coordinate plane when given coordinates for the vertices.
6.GM.6 Use coordinates to calculate vertical and horizontal distances between points with the same x-coordinate or the same y-coordinate to solve real-world and mathematical problems.
6.GM.6 Use coordinates to calculate vertical and horizontal distances between points with the same x-coordinate or the same y-coordinate to solve real-world and mathematical problems.
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    Coming soon: Checkpoint: The coordinate plane
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    Coming soon: Checkpoint: The coordinate plane
Conversions: Students apply measurement knowledge to solve real-world problems.
6.GM.7 Convert measurements within and between the metric and customary measurement systems to solve real-world and mathematical problems.
6.GM.7 Convert measurements within and between the metric and customary measurement systems to solve real-world and mathematical problems.
SP
Statistics & Probability
Statistical & Nonstatistical: Students recognize that data collected to answer a statistical question can be analyzed by their distributions.
6.SP.1 Identify the difference between statistical and non-statistical questions and write simple statistical questions that allow variable responses.
6.SP.1 Identify the difference between statistical and non-statistical questions and write simple statistical questions that allow variable responses.
Measures of Center: Students explore mean, median, and mode.
6.SP.2 Calculate and interpret any measure of center (mean, median, and mode) of a numerical data set.
6.SP.2 Calculate and interpret any measure of center (mean, median, and mode) of a numerical data set.
6.SP.3 Determine which measure of center (mean or median) is more appropriate to describe the center of data and justify the choice.
6.SP.3 Determine which measure of center (mean or median) is more appropriate to describe the center of data and justify the choice.
6.SP.4 Describe how the mean or median is affected by outliers of a numerical data set.
6.SP.4 Describe how the mean or median is affected by outliers of a numerical data set.
Measures of Variation: Students explore range and interquartile range.
6.SP.5 Calculate and interpret the measure of variation [range and interquartile range (IQR)] of a numerical data set.
6.SP.5 Calculate and interpret the measure of variation [range and interquartile range (IQR)] of a numerical data set.
6.SP.6 Determine which measure of variation (range or interquartile range) is more appropriate to describe the shape; justify the choice.
6.SP.6 Determine which measure of variation (range or interquartile range) is more appropriate to describe the shape; justify the choice.
Numerical Data: Students summarize and describe distributions.
6.SP.7 Represent numerical data on a number line, histogram, and box plot.
6.SP.7 Represent numerical data on a number line, histogram, and box plot.
6.SP.8 Calculate the relative frequency of an interval of data values when given a histogram.
6.SP.8 Calculate the relative frequency of an interval of data values when given a histogram.
6.SP.9 Interpret a box plot to answer statistical questions about a data set.
6.SP.9 Interpret a box plot to answer statistical questions about a data set.
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    Coming soon: Checkpoint: Statistical questions and numerical data
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    Coming soon: Checkpoint: Statistical questions and numerical data