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STANDARDS

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US-NC

Math

North Carolina Math

Grade 6: The Number System

Apply and extend previous understandings of multiplication and division to divide fractions by fractions.

NC.6.NS.1

Use visual models and common denominators to:

NC.6.NS.1.a

Fully covered
Interpret and compute quotients of fractions.

NC.6.NS.1.b

Fully covered
Solve real-world and mathematical problems involving division of fractions.

Compute fluently with multi-digit numbers and find common factors and multiples.

NC.6.NS.2

Mostly covered
Fluently divide using long division with a minimum of a four-digit dividend and interpret the quotient and remainder in context.

NC.6.NS.3

Fully covered
Apply and extend previous understandings of decimals to develop and fluently use the standard algorithms for addition, subtraction, multiplication and division of decimals.

NC.6.NS.4

Understand and use prime factorization and the relationships between factors to:

NC.6.NS.4.a

Not covered
Find the unique prime factorization for a whole number.
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NC.6.NS.4.b

Fully covered
Find the greatest common factor of two whole numbers less than or equal to 100.

NC.6.NS.4.c

Fully covered
Use the greatest common factor and the distributive property to rewrite the sum of two whole numbers, each less than or equal to 100.

NC.6.NS.4.d

Partially covered
Find the least common multiple of two whole numbers less than or equal to 12 to add and subtract fractions with unlike denominators.

Apply and extend previous understandings of numbers to the system of rational numbers.

NC.6.NS.5

Understand and use rational numbers to:

NC.6.NS.5.a

Fully covered
Describe quantities having opposite directions or values.

NC.6.NS.5.b

Fully covered
Represent quantities in real-world contexts, explaining the meaning of 0 in each situation.

NC.6.NS.5.c

Understand the absolute value of a rational number as its distance from 0 on the number line to:

NC.6.NS.5.c.1
Fully covered
Interpret absolute value as magnitude for a positive or negative quantity in a real-world context.
NC.6.NS.5.c.2
Fully covered
Distinguish comparisons of absolute value from statements about order.

NC.6.NS.6

Understand rational numbers as points on the number line and as ordered pairs on a coordinate plane.

NC.6.NS.6.a

On a number line:

NC.6.NS.6.a.1
Fully covered
Recognize opposite signs of numbers as indicating locations on opposite sides of 0 and that the opposite of the opposite of a number is the number itself.
NC.6.NS.6.a.2
Fully covered
Find and position rational numbers on a horizontal or vertical number line.

NC.6.NS.6.b

On a coordinate plane:

NC.6.NS.6.b.1
Fully covered
Understand signs of numbers in ordered pairs as indicating locations in quadrants.
NC.6.NS.6.b.2
Fully covered
Recognize that when two ordered pairs differ only by signs, the locations of the points are related by reflections across one or both axes.
NC.6.NS.6.b.3
Fully covered
Find and position pairs of rational numbers on a coordinate plane.

NC.6.NS.7

Understand ordering of rational numbers.

NC.6.NS.7.a

Fully covered
Interpret statements of inequality as statements about the relative position of two numbers on a number line diagram.

NC.6.NS.7.b

Fully covered
Write, interpret, and explain statements of order for rational numbers in real-world contexts.

NC.6.NS.8

Mostly covered
Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate.

NC.6.NS.9

Apply and extend previous understandings of addition and subtraction.

NC.6.NS.9.a

Understand additive inverses when adding and subtracting integers.

NC.6.NS.9.a.1
Fully covered
Describe situations in which opposite quantities combine to make 0.
NC.6.NS.9.a.2
Mostly covered
Understand p + q as the number located a distance q from p, in the positive or negative direction depending on the sign of q. Show that a number and its additive inverse create a zero pair.
NC.6.NS.9.a.3
Mostly covered
Understand subtraction of integers as adding the additive inverse, p - q = p + (-q). Show that the distance between two integers on the number line is the absolute value of their difference.
NC.6.NS.9.a.4
Not covered
Use models to add and subtract integers from -20 to 20 and describe real-world contexts using sums and differences.
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