6th grade Mathematics worksheets

Grade 6: Standards

• MA.6.NSO.1.1Extend previous understanding of numbers to define rational numbers. Plot, order and compare rational numbers.
• MA.6.NSO.1.2Given a mathematical or real-world context, represent quantities that have opposite direction using rational numbers. Compare them on a number line and explain the meaning of zero within its context.
• MA.6.NSO.1.3Given a mathematical or real-world context, interpret the absolute value of a number as the distance from zero on a number line. Find the absolute value of rational numbers.
• MA.6.NSO.1.4Solve mathematical and real-world problems involving absolute value, including the comparison of absolute value.
• MA.6.NSO.2.1Multiply and divide positive multi-digit numbers with decimals to the thousandths, including using a standard algorithm with procedural fluency.
• MA.6.NSO.2.2Extend previous understanding of multiplication and division to compute products and quotients of positive fractions by positive fractions, including mixed numbers, with procedural fluency.
• MA.6.NSO.2.3Solve multi-step real-world problems involving any of the four operations with positive multi-digit decimals or positive fractions, including mixed numbers.
• MA.6.NSO.3.1Given a mathematical or real-world context, find the greatest common factor and least common multiple of two whole numbers.
• MA.6.NSO.3.2Rewrite the sum of two composite whole numbers having a common factor, as a common factor multiplied by the sum of two whole numbers.
• MA.6.NSO.3.3Evaluate positive rational numbers and integers with natural number exponents.
• MA.6.NSO.3.4Express composite whole numbers as a product of prime factors with natural number exponents.
• MA.6.NSO.3.5Rewrite positive rational numbers in different but equivalent forms including fractions, terminating decimals and percentages.
• MA.6.NSO.4.1Apply and extend previous understandings of operations with whole numbers to add and subtract integers with procedural fluency.
• MA.6.NSO.4.2Apply and extend previous understandings of operations with whole numbers to multiply and divide integers with procedural fluency.
• MA.6.AR.1.1Given a mathematical or real-world context, translate written descriptions into algebraic expressions and translate algebraic expressions into written descriptions.
• MA.6.AR.1.2Translate a real-world written description into an algebraic inequality in the form of x > a, x < a, x ≥ a or x ≤ a. Represent the inequality on a number line.
• MA.6.AR.1.3Evaluate algebraic expressions using substitution and order of operations.
• MA.6.AR.1.4Apply the properties of operations to generate equivalent algebraic expressions with integer coefficients.
• MA.6.AR.2.1Given an equation or inequality and a specified set of integer values, determine which values make the equation or inequality true or false.
• MA.6.AR.2.2Write and solve one-step equations in one variable within a mathematical or real-world context using addition and subtraction, where all terms and solutions are integers.
• MA.6.AR.2.3Write and solve one-step equations in one variable within a mathematical or real-world context using multiplication and division, where all terms and solutions are integers.
• MA.6.AR.2.4Determine the unknown decimal or fraction in an equation involving any of the four operations, relating three numbers, with the unknown in any position.
• MA.6.AR.3.1Given a real-world context, write and interpret ratios to show the relative sizes of two quantities using appropriate notation: a/b, a to b, or a:b where b ≠ 0.
• MA.6.AR.3.2Given a real-world context, determine a rate for a ratio of quantities with different units. Calculate and interpret the corresponding unit rate.
• MA.6.AR.3.3Extend previous understanding of fractions and numerical patterns to generate or complete a two- or three-column table to display equivalent part-to-part ratios and part-to-part-to-whole ratios.
• MA.6.AR.3.4Apply ratio relationships to solve mathematical and real-world problems involving percentages using the relationship between two quantities.
• MA.6.AR.3.5Solve mathematical and real-world problems involving ratios, rates and unit rates, including comparisons, mixtures, ratios of lengths and conversions within the same measurement system.
• MA.6.GR.1.1Extend previous understanding of the coordinate plane to plot rational number ordered pairs in all four quadrants and on both axes. Identify the x- or y-axis as the line of reflection when two ordered pairs have an opposite x- or y-coordinate.
• MA.6.GR.1.2Find distances between ordered pairs, limited to the same x-coordinate or the same y-coordinate, represented on the coordinate plane.
• MA.6.GR.1.3Solve mathematical and real-world problems by plotting points on a coordinate plane, including finding the perimeter or area of a rectangle.
• MA.6.GR.2.1Derive a formula for the area of a right triangle using a rectangle. Apply a formula to find the area of a triangle.
• MA.6.GR.2.2Solve mathematical and real-world problems involving the area of quadrilaterals and composite figures by decomposing them into triangles or rectangles.
• MA.6.GR.2.3Solve mathematical and real-world problems involving the volume of right rectangular prisms with positive rational number edge lengths using a visual model and a formula.
• MA.6.GR.2.4Given a mathematical or real-world context, find the surface area of right rectangular prisms and right rectangular pyramids using the figure’s net.
• MA.6.DP.1.1Recognize and formulate a statistical question that would generate numerical data.
• MA.6.DP.1.2Given a numerical data set within a real-world context, find and interpret mean, median, mode and range.
• MA.6.DP.1.3Given a box plot within a real-world context, determine the minimum, the lower quartile, the median, the upper quartile and the maximum. Use this summary of the data to describe the spread and distribution of the data.
• MA.6.DP.1.4Given a histogram or line plot within a real-world context, qualitatively describe and interpret the spread and distribution of the data, including any symmetry, skewness, gaps, clusters, outliers and the range.
• MA.6.DP.1.5Create box plots and histograms to represent sets of numerical data within real-world contexts.
• MA.6.DP.1.6Given a real-world scenario, determine and describe how changes in data values impact measures of center and variation.