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K–12 Standards

6th Grade

Other South Dakota Mathematics sets

Numbers Concepts and ComputationsNC

  •  

    Rational Numbers

    1. 1

      Understand a ratio as a comparison of two quantities.6.NC.1

    2. 2

      Classify numbers (integers, fractions, decimals) as rational numbers.6.NC.2

    3. 3

      Explain positive and negative integers as being opposite (inverse) values or directions from zero. Also, explain zero as its own opposite.6.NC.3

    4. 4

      Understand the meaning of zero in a real-world context.6.NC.4

    5. 5

      Understand the absolute value of rational numbers to be its distance from zero on the number line; interpret absolute value as magnitude for a positive or negative quantity in a real-world situation.6.NC.5

    6. 6

      Determine the absolute value of a rational number by finding its distance from zero on a number line in real-world situations; recognize that the opposite of the opposite of a number is the number itself. 6.NC.6

    7. 7

      Write, interpret, and explain statements of order for rational numbers in real-world contexts.6.NC.7

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    Rational Number Operations

    1. 8

      Use visual models (e.g., area models, number lines) to explore and explain why dividing by a fraction is equivalent to multiplying by its reciprocal.6.NC.8

    2. 9.

      Use visual models (e.g., area models, number lines) to explain, justify, and apply the process of dividing fractions by fractions in real-world contexts.6.NC.9

    3. 10

      Solve word problems involving division of fractions by fractions.6.NC.10

    4. 11

      Compare rational numbers, using inequalities (<, >, ≤, ≥, ≠) and order on a number line. 6.NC.11

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    Common Factors and Multiples

    1. 12

      Find the greatest common factor of two whole numbers less than or equal to 100.6.NC.12

    2. 13

      Find the least common multiple of two whole numbers less than or equal to 12.6.NC.13

    3. 14

      Use the distributive property to rewrite the sum of two whole numbers 1-100 using its greatest common factor.6.NC.14

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    Mathematical Fluency

    1. 15

      Fluently divide multi-digit numbers using various strategies, including but not limited to the standard algorithm. 6.NC.15

    2. 16

      Fluently add, subtract, multiply, and divide multi-digit decimals and fractions using various strategies, including but not limited to the standard algorithm. 6.NC.16

Proportional RelationshipsPR

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    Ratio and Rates

    1. 1

      Write ratios, rates, and unit rates. Determine the units of a unit rate.6.PR.1

    2. 2

      Use ratio and rate reasoning to solve real-world and mathematical problems including making ratio tables, solving unit rate problems, and using percentages.6.PR.2

    3. 3

      Solve unit rate problems including those involving unit pricing and constant speed.6.PR.3

    4. 4

      Find a percent of a quantity as a rate per 100.6.PR.4

AlgebraA

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    Expressions

    1. 1

      Write and evaluate numerical expressions involving whole-number exponents, including those with parentheses.  6.A.1

    2. 2

      Translate verbal descriptions into algebraic expressions and evaluate them for given values.6.A.2

    3. 3

      Identify parts of an expression using mathematical terms (sum, term, product, factor, quotient, coefficient, variable, constant) and view one or more parts of an expression as a single entity.6.A.3

    4. 4

      Evaluate expressions at specific values of their variables, including expressions with whole number exponents and those from formulas in real-world problems. Explain how the structure of an expression affects its value by justifying each step using the order of operations and properties of operations.6.A.4

    5. 5

      Apply properties of operations (distributive, commutative, associative) to generate equivalent expressions.6.A.5

  •  

    Equations and Inequalities

    1. 6

      Use substitution to determine if a given value in a specified set makes an equation or inequality true. Include the following inequality symbols: <, >, ≤, ≥, ≠.  6.A.6

    2. 7

      Write and solve one-step equations in real-world and mathematical problems, involving positive rational numbers and zero.6.A.7

    3. 8

      Write, solve, and graph one-step inequalities in real-world and mathematical problems, involving positive rational numbers and zero.6.A.8

    4. 9

      Understand an equation with two variables as a statement expressing a relationship between two quantities, and recognize that this relationship can often be represented as a function, where one variable depends on the other.6.A.9

    5. 10

      Analyze the relationship between the dependent and independent variables in an equation using tables and graphs, relating these to the equation.6.A.10

GeometryG

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    Area, Volume, and Surface Area

    1. 1

      Find the area of triangles, special quadrilaterals, and polygons by composing or decomposing to solve real-world problems.6.G.1

    2. 2

      Find the volume of right rectangular prisms with fractional edge lengths by packing and relate it to multiplication. 6.G.2

    3. 3

      Draw polygons in the coordinate plane when given coordinates for the vertices.6.G.3

    4. 4

      Use coordinates to calculate vertical and horizontal distances between points with the same 𝑥𝑥-coordinate or the same 𝑦𝑦-coordinate to solve real-world and mathematical problems.6.G.4

    5. 5

      Construct nets of a rectangular prism, rectangular pyramid, triangular prism, and triangular pyramid, using the nets to find the surface area of these prisms and pyramids. 6.G.5

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    Coordinate Plane System

    1. 6

      Find and graph pairs of rational numbers in all four quadrants of the coordinate plane in realworld and mathematical problems.6.G.6

    2. 7

      Understand that signs of a coordinate pair indicate locations in a quadrant of the coordinate plane, opposite signs indicate reflections across one or both axes.6.G.7

MeasurementM

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    Conversions

    1. 1

      Use ratio reasoning to convert measurement units within the U.S. Customary and metric measuring systems.6.M.1

Statistics and ProbabilitySP

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    Statistical and Nonstatistical 

    1. 1

      Understand the four components of the statistical process (question formulation, data collection, data analysis, interpretation).6.SP.1

    2. 2

      Recognize that data sets collected to answer a statistical question can be analyzed by their distributions. 6.SP.2

  •  

    Numerical Data

    1. 3

      Represent numerical data on a number line, histogram, and box plot.6.SP.3

    2. 4

      Interpret a box plot to answer statistical questions about a data set. 6.SP.4

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    Measures of Center

    1. 5

      Distinguish between a measure of center (mean, medium, and mode) and measure of variation (range and/or mean absolute deviation).6.SP.5

    2. 6.

      Calculate and interpret any measure of center (mean, median, and mode) of a numerical data set. 6.SP.6

    3. 7

      Determine which measure of center (mean or median) is more appropriate to describe the center of data; justify the choice.6.SP.7

  •  

    Measures of Variation

    1. 8

      Compare and interpret range and interquartile range (IQR) to describe how data varies in a distribution.6.SP.8

    2. 9

      Calculate and interpret the measure of variation (range, interquartile range (IQR), and/or mean absolute deviation) of a numerical data set.  6.SP.9

Frequently asked questions

What grade levels do these standards cover?
Grade 6
Where can I read the official document?
South Dakota Mathematic Standards

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