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STANDARDS

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US-NY

Math

New York Math

Grade 6: The Number System

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

NY-6.NS.1

Fully covered
Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions.

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

NY-6.NS.2

Fully covered
Fluently divide multi-digit numbers using a standard algorithm.

NY-6.NS.3

Fully covered
Fluently add, subtract, multiply, and divide multi-digit decimals using a standard algorithm for each operation.

NY-6.NS.4

Fully covered
Find the greatest common factor of two whole numbers less than or equal to 100. Use the distributive property to express a sum of two whole numbers 1–100 with a common factor as a multiple of a sum of two whole numbers with no common factor other than 1. Find the least common multiple of two whole numbers less than or equal to 12.

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

NY-6.NS.5

Fully covered
Understand that positive and negative numbers are used together to describe quantities having opposite directions or values. Use positive and negative numbers to represent quantities in real-world contexts, explaining the meaning of 0 in each situation.

NY-6.NS.6

Understand a rational number as a point on the number line. Use number lines and coordinate axes to represent points on a number line and in the coordinate plane with negative number coordinates.

NY-6.NS.6.a

Fully covered
Recognize opposite signs of numbers as indicating locations on opposite sides of 0 on the number line. Recognize that the opposite of the opposite of a number is the number itself, and that 0 is its own opposite.

NY-6.NS.6.b

Fully covered
Understand signs of numbers in ordered pairs as indicating locations in quadrants of the coordinate plane. Recognize that when two ordered pairs differ only by signs, the locations of the points are related by reflections across one or both axes.

NY-6.NS.6.c

Fully covered
Find and position integers and other rational numbers on a horizontal or vertical number line. Find and position pairs of integers and other rational numbers on a coordinate plane.

NY-6.NS.7

Understand ordering and absolute value of rational numbers.

NY-6.NS.7.a

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

NY-6.NS.7.b

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

NY-6.NS.7.c

Fully covered
Understand the absolute value of a rational number as its distance from 0 on the number line. Interpret absolute value as magnitude for a positive or negative quantity in a real-world situation.

NY-6.NS.7.d

Fully covered
Distinguish comparisons of absolute value from statements about order.

NY-6.NS.8

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