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Skills available for Nebraska sixth-grade math standards

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Nebraska's College and Career Ready Standards (adopted in 2022) Nebraska's College and Career Ready Standards (adopted in 2022)
Nebraska's College and Career Ready Standards Nebraska's College and Career Ready Standards

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MA 6.1 Number

MA.6.1.1 Students will demonstrate, represent, and show relationships among fractions, decimals, percents, and integers within the base-ten number system.
- MA 6.1.1.a Determine common factors and common multiples using prime factorization of numbers with and without exponents.
- MA 6.1.1.b Represent non-negative whole numbers using exponential notation.
- MA 6.1.1.c Compare and order rational numbers both on the number line and not on the number line.
- MA 6.1.1.d Convert among fractions, decimals, and percents using multiple representations.
- MA 6.1.1.e Determine ratios from drawings, words, and manipulatives.
- MA 6.1.1.f Explain and determine unit rates.
  - Unit rates (6-R.9)
- MA 6.1.1.g Model integers using drawings, words, manipulatives, number lines, and symbols.
- MA 6.1.1.h Compare and order integers and absolute value both on the number line and not on the number line.
- MA 6.1.1.i Determine absolute value of rational numbers.
MA 6.1.2 Students will compute with fractions and decimals accurately.
- MA 6.1.2.a Multiply and divide non-negative fractions and mixed numbers.
- MA 6.1.2.b Evaluate expressions with positive exponents.
- MA 6.1.2.c Divide multi-digit whole numbers using the standard algorithm.
- MA 6.1.2.d Add, subtract, multiply, and divide decimals using the standard algorithms.
- MA 6.1.2.e Estimate and check reasonableness of answers using appropriate strategies and tools.

MA 6.2 Algebra

MA 6.2.1 Students will demonstrate, represent, and show relationships with expressions, equations, and inequalities.
- MA 6.2.1.a Create algebraic expressions (e.g., one operation, one variable as well as multiple operations, one variable) from word phrases.
- MA 6.2.1.b Recognize and generate equivalent algebraic expressions involving distributive property and combining like terms.
- MA 6.2.1.c Represent and analyze the relationship between two variables using graphs, tables, and one-step equations.
MA 6.2.2 Students will apply the operational properties when evaluating expressions and solving expressions, equations, and inequalities.
- MA 6.2.2.a Simplify expressions using the distributive property and combining like terms.
- MA 6.2.2.b Use substitution to determine if a given value for a variable makes an equation or inequality true.
- MA 6.2.2.c Evaluate numerical expressions, including absolute value and exponents, with respect to order of operations.
- MA 6.2.2.d Given the value of the variable, evaluate algebraic expressions (which may include absolute value) with respect to order of operations (non-negative rational numbers).
- MA 6.2.2.e Solve one-step equations with non-negative rational numbers using addition, subtraction, multiplication and division.
- MA 6.2.2.f Use equivalent ratios relating quantities with whole numbers to create a table. Find missing values in the table.
- MA 6.2.2.g Represent inequalities on a number line (e.g., graph x > 3).
  - Graph inequalities on number lines (6-AA.2)
MA 6.2.3 Students will solve real-world problems involving ratios, unit rates, and percents.
- MA 6.2.3.a Write equations (e.g., one operation, one variable) to represent real-world problems involving non-negative rational numbers.
- MA 6.2.3.b Solve real-world problems involving non-negative rational numbers.
- MA 6.2.3.c Solve real-world problems involving percents of numbers.
- MA 6.2.3.d Solve real-world problems using ratios and unit rates.

MA 6.3 Geometry

MA 6.3.1 Students will identify and describe geometric characteristics and create two- and three-dimensional shapes.
- MA 6.3.1.a Identify and create nets to represent two-dimensional drawings of prisms, pyramids, cylinders, and cones.
  - Nets of three-dimensional figures (6-EE.3)
MA 6.3.2 Students will determine location, orientation, and relationships on the coordinate plane.
- MA 6.3.2.a Identify the ordered pair of a given point in the coordinate plane.
  - Objects on a coordinate plane (6-X.2)
  - Coordinate planes as maps (6-X.6)
- MA 6.3.2.b Plot the location of an ordered pair in the coordinate plane.
  - Graph points on a coordinate plane (6-X.3)
- MA 6.3.2.c Identify the quadrant of a given point in the coordinate plane.
  - Quadrants (6-X.4)
- MA 6.3.2.d Draw polygons in the coordinate plane given coordinates for the vertices.
  - Graph triangles and quadrilaterals (6-CC.8)
- MA 6.3.2.e Calculate vertical and horizontal distances in the coordinate plane to find perimeter and area.
  - Distance between two points (6-X.7)
  - Area and perimeter of squares and rectangles on the coordinate plane (6-X.9)
MA 6.3.3 Students will perform and compare measurements and apply formulas.
- MA 6.3.3.a Determine the area of quadrilaterals, including parallelograms, trapezoids, and triangles by composition and decomposition of polygons as well as application of formulas.
- MA 6.3.3.b Determine the surface area of rectangular prisms and triangular prisms using nets.
- MA 6.3.3.c Apply volume formulas for rectangular prisms.

MA 6.4 Data

MA 6.4.1 Students will create displays that represent data.
- MA 6.4.1.a Represent data using line plots, dot plots, box plots, and histograms.
MA 6.4.2 Students will analyze data to address the situation.
- MA 6.4.2.a Solve problems using information presented in line plots, dot plots, box plots, and histograms.
- MA 6.4.2.b Compare and interpret data sets based upon their graphical representations (e.g., center, spread, and shape).
- MA 6.4.2.c Find and interpret the mean, median, mode, and range for a set of data.
  - Calculate mean, median, mode, and range (6-HH.2)
  - Interpret charts and graphs to find mean, median, mode, and range (6-HH.3)
- MA 6.4.2.d Compare the mean, median, mode, and range from two sets of data.

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MA 6.1 Number

MA.6.1.1 Students will demonstrate, represent, and show relationships among fractions, decimals, percents, and integers within the base-ten number system.

MA 6.1.1.a Determine common factors and common multiples using prime factorization of numbers with and without exponents.

MA 6.1.1.b Represent non-negative whole numbers using exponential notation.

MA 6.1.1.c Compare and order rational numbers both on the number line and not on the number line.

MA 6.1.1.d Convert among fractions, decimals, and percents using multiple representations.

MA 6.1.1.e Determine ratios from drawings, words, and manipulatives.

MA 6.1.1.f Explain and determine unit rates.

MA 6.1.1.g Model integers using drawings, words, manipulatives, number lines, and symbols.

MA 6.1.1.h Compare and order integers and absolute value both on the number line and not on the number line.

MA 6.1.1.i Determine absolute value of rational numbers.

MA 6.1.2 Students will compute with fractions and decimals accurately.

MA 6.1.2.a Multiply and divide non-negative fractions and mixed numbers.

MA 6.1.2.b Evaluate expressions with positive exponents.

MA 6.1.2.c Divide multi-digit whole numbers using the standard algorithm.

MA 6.1.2.d Add, subtract, multiply, and divide decimals using the standard algorithms.

MA 6.1.2.e Estimate and check reasonableness of answers using appropriate strategies and tools.

MA 6.2 Algebra

MA 6.2.1 Students will demonstrate, represent, and show relationships with expressions, equations, and inequalities.

MA 6.2.1.a Create algebraic expressions (e.g., one operation, one variable as well as multiple operations, one variable) from word phrases.

MA 6.2.1.b Recognize and generate equivalent algebraic expressions involving distributive property and combining like terms.

MA 6.2.1.c Represent and analyze the relationship between two variables using graphs, tables, and one-step equations.

MA 6.2.2 Students will apply the operational properties when evaluating expressions and solving expressions, equations, and inequalities.

MA 6.2.2.a Simplify expressions using the distributive property and combining like terms.

MA 6.2.2.b Use substitution to determine if a given value for a variable makes an equation or inequality true.

MA 6.2.2.c Evaluate numerical expressions, including absolute value and exponents, with respect to order of operations.

MA 6.2.2.d Given the value of the variable, evaluate algebraic expressions (which may include absolute value) with respect to order of operations (non-negative rational numbers).

MA 6.2.2.e Solve one-step equations with non-negative rational numbers using addition, subtraction, multiplication and division.

MA 6.2.2.f Use equivalent ratios relating quantities with whole numbers to create a table. Find missing values in the table.

MA 6.2.2.g Represent inequalities on a number line (e.g., graph x > 3).

MA 6.2.3 Students will solve real-world problems involving ratios, unit rates, and percents.

MA 6.2.3.a Write equations (e.g., one operation, one variable) to represent real-world problems involving non-negative rational numbers.

MA 6.2.3.b Solve real-world problems involving non-negative rational numbers.

MA 6.2.3.c Solve real-world problems involving percents of numbers.

MA 6.2.3.d Solve real-world problems using ratios and unit rates.

MA 6.3 Geometry

MA 6.3.1 Students will identify and describe geometric characteristics and create two- and three-dimensional shapes.

MA 6.3.1.a Identify and create nets to represent two-dimensional drawings of prisms, pyramids, cylinders, and cones.

MA 6.3.2 Students will determine location, orientation, and relationships on the coordinate plane.

MA 6.3.2.a Identify the ordered pair of a given point in the coordinate plane.

MA 6.3.2.b Plot the location of an ordered pair in the coordinate plane.

MA 6.3.2.c Identify the quadrant of a given point in the coordinate plane.

MA 6.3.2.d Draw polygons in the coordinate plane given coordinates for the vertices.

MA 6.3.2.e Calculate vertical and horizontal distances in the coordinate plane to find perimeter and area.

MA 6.3.3 Students will perform and compare measurements and apply formulas.

MA 6.3.3.a Determine the area of quadrilaterals, including parallelograms, trapezoids, and triangles by composition and decomposition of polygons as well as application of formulas.

MA 6.3.3.b Determine the surface area of rectangular prisms and triangular prisms using nets.

MA 6.3.3.c Apply volume formulas for rectangular prisms.

MA 6.4 Data

MA 6.4.1 Students will create displays that represent data.

MA 6.4.1.a Represent data using line plots, dot plots, box plots, and histograms.

MA 6.4.2 Students will analyze data to address the situation.

MA 6.4.2.a Solve problems using information presented in line plots, dot plots, box plots, and histograms.

MA 6.4.2.b Compare and interpret data sets based upon their graphical representations (e.g., center, spread, and shape).

MA 6.4.2.c Find and interpret the mean, median, mode, and range for a set of data.

MA 6.4.2.d Compare the mean, median, mode, and range from two sets of data.