Arkansas flagArkansas: Grade 6 Mathematics Standards Math Standards

42 standards ยท 5 domains

ALGEBRA

  • 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.3 Write and evaluate expressions for given values of variables, using order of operations, including expressions with whole number exponents.
  • 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.6 Use substitution to determine if a given value in a specified set makes an equation or inequality true. Include the following inequality symbols: <,>,โ‰ค,โ‰ฅ,โ‰ 
  • 6.ALG.7 Write and solve one-step equations in real-world and mathematical problems, involving positive rational numbers and zero.
  • 6.ALG.8 Write, solve, and graph one-step inequalities in real-world and mathematical problems.

GEOMETRY & MEASUREMENT

  • 6.GM.1 Find the area of triangles, quadrilaterals, and polygons by composing or decomposing to solve real-world and mathematical problems.
  • 6.GM.2 Apply the formulas ๐‘‰=๐‘™๐‘คโ„Ž and ๐‘‰=๐ตโ„Ž 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.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.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.7 Convert measurements within and between the metric and customary measurement systems to solve real-world and mathematical problems.

NUMBER CONCEPTS & COMPUTATIONS

  • 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.3 Compare rational numbers, using inequalities (<,>,โ‰ค,โ‰ฅ,โ‰ ) and order on a number line.
  • 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.
  • 6.NCC.6 Interpret and represent quotients of fractions. Fractions include all forms of fractions.
  • 6.NCC.7 Solve problems involving the division of fractions in real-world and mathematical problems. Fractions include all forms of fractions.
  • 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.
  • 6.NCC.10 Use any standard algorithm to fluently multiply and divide multi-digit decimals and fractions in real-world and mathematical 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.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.

PROPORTIONAL RELATIONSHIPS

  • 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.
  • 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.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.

STATISTICS & PROBABILITY

  • 6.SP.1 Identify the difference between statistical and non-statistical questions and write simple statistical questions that allow variable responses.
  • 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.4 Describe how the mean or median is affected by outliers 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.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.9 Interpret a box plot to answer statistical questions about a data set.