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North Carolina Math Standards - 6th Grade

MathScore aligns to the North Carolina Math Standards for 6th Grade. The standards appear below along with the MathScore topics that match. If you click on a topic name, you will see sample problems at varying degrees of difficulty that MathScore generated. When students use our program, the difficulty of the problems will automatically adapt based on individual performance, resulting in not only true differentiated instruction, but a challenging game-like experience.

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View the North Carolina Math Standards at other levels.

Number and Operations

6.N.1 Use a variety of strategies (including models, pictures, mental computation) to solve problems involving multiplication and division of non-negative rational numbers.
   6.N.1.1 Apply multiplication and division to non-negative decimal numbers. (Unit Cost , Decimal Multiplication , Decimal Division )
   6.N.1.2 Apply multiplication and division to non-negative fractions. (Fraction Multiplication , Fraction Division , Fraction Word Problems 2 )

6.N.2 Use combinations of addition, subtraction, multiplication and division for non-negative rational numbers to solve multi- step problems. (Arithmetic Word Problems , Making Change , Unit Cost , Fraction Word Problems , Fraction Word Problems 2 )
   6.N.2.1 Use formal algorithms for all four operations for non-negative rational numbers. (Money Multiplication , Money Division , Fraction Addition , Fraction Subtraction , Fraction Multiplication , Fraction Division , Decimal Addition , Decimal Subtraction , Decimal Multiplication , Decimal Division )
   6.N.2.2 Understand when the associative and commutative properties hold true for non-negative rational numbers. (Associative Property 1 , Associative Property 2 , Commutative Property 1 , Commutative Property 2 )

6.N.3 Understand the relationship between integers, non-negative decimals, fractions and percents. (Positive Number Line , Number Line , Compare Integers )
   6.N.3.1 Compare integers and non-negative decimals, fractions and percents using the number line. (Compare Mixed Values , Compare Mixed Values 2 )
   6.N.3.2 Represent percents as decimals and fractions; fractions as decimals and percents; and decimals as fractions and percents. (Fractions to Decimals , Decimals To Fractions , Repeating Decimals , Percentages , Percentage Pictures )

6.N.4 Use the concept of unit rate to solve problems.
   6.N.4.1 Use ratio tables or graphs to represent unit rates.
   6.N.4.2 Use unit rates to solve problems. (Unit Cost , Distance, Rate, and Time )

6.N.5 Understand large and small numbers using exponents and exponential notation.
   6.N.5.1 Represent numbers using scientific notation. (Scientific Notation )
   6.N.5.2 Represent numbers as prime factors with exponents. (Prime Factoring 2 )
   6.N.5.3 Compare numeric expressions using repeated multiplication and exponential notation. (Exponent Basics )

Algebra

6.A.1 Apply mathematical operations and properties for non-negative rational numbers to solve one- step equations and inequalities.
   6.A.1.1 Use verbal descriptions and algebraic equations and inequalities to represent problem situations. (Algebraic Word Problems , Algebraic Sentences 2 , Algebraic Sentences )
   6.A.1.2 Use mathematical operations and properties to solve one-step equations. (Single Variable Equations )
   6.A.1.3 Use mathematical operations and properties to solve inequalities. (Single Variable Inequalities )

6.A.2 Analyze patterns to determine the rule that enables accurate predictions of missing numbers, including the nth term, of arithmetic sequences (x1, x2, x3, xn).
   6.A.2.1 Analyze patterns of arithmetic sequences to determine the rule that defines the pattern. (Function Tables , Function Tables 2 )
   6.A.2.2 Use the rule to predict the nth term of an arithmetic sequence.
   6.A.2.3 Use a given rule to determine the pattern.

6.A.3 Analyze the data presented in qualitative graphs in terms of position, time, change and rate of change.
   6.A.3.1 Represent the essential elements of a scenario in graphical form.
   6.A.3.2 Analyze the data presented in a qualitative graph to solve problems or answer questions. (Line Graphs )

Geometry

6.G.1 Represent one- and two- dimensional geometric figures in the Cartesian coordinate system.
   6.G.1.1 Identify the origin, axes, quadrants and coordinates on the Cartesian coordinate system. (Ordered Pairs )
   6.G.1.2 Describe the intersection of two or more geometric figures in the Cartesian coordinate system (e.g. intersection of a circle and a line).
   6.G.1.3 Summarize the effect of translations. (Translations and Reflections )
   6.G.1.4 Summarize the effect of reflections across horizontal and vertical lines. (Translations and Reflections )

Measurement

6.M.1 Use the relationship between customary and metric measurements to estimate measures given in one system to its measure in the other system.
   6.M.1.1 Use the relationships between customary and metric measurements to make estimates between systems.

6.M.2 Use attributes of polygons and formulas to determine perimeter and area.
   6.M.2.1 Calculate the perimeter of polygons. (Perimeter , Compare Rectangle Area and Perimeter )
   6.M.2.2 Calculate the area of polygons. (Triangle Area , Parallelogram Area , Compare Rectangle Area and Perimeter , Trapezoids )

6.M.3 Use the approximate value of π to calculate the circumference and area of circles.
   6.M.3.1 Compare the ratio of the circumference to the diameter to identify an approximate value of π.
   6.M.3.2 Use formulas to determine the area and circumference of circles. (Circle Area , Circle Circumference )

Statistics and Probability

6.S.1 Understand the relationships between experimental and theoretical probabilities for simple events.
   6.S.1.1 Predict the outcomes of probability experiments for simple events based on theoretical probability. (Probability )
   6.S.1.2 Compare the outcomes from random experiments (experimental probability) to an expected outcome based on a theoretical probability.

6.S.2 Use strategies to identify sample spaces and probabilities.
   6.S.2.1 Use tree diagrams and Fundamental Counting Principle to identify sample space and identify probabilities.
   6.S.2.2 Use organized lists to display a sample space and identify probabilities.

6.S.3 Understand graphical displays of data in terms of shape, measures of center and variability.
   6.S.3.1 Represent data using dot plots, stem and leaf plots and histograms.
   6.S.3.2 Interpret distributions of data in terms of measures of center (mean, median and mode), shape (clusters, peaks and gaps) and variability (range). (Mean, Median, Mode , Stem And Leaf Plots )
   6.S.3.3 Compare the meanings and uses of means, medians and modes.
   6.S.3.4 Interpret information from a data set in terms of supporting or refuting statements about the data group.

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