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- 6.NS.C.5Understand that positive and negative numbers are used together to describe quantities having opposite directions or values (e.g., temperature above/below zero, elevation above/below sea level, debits/credits, positive/negative electric charge); use positive and negative numbers to represent quantities in real-world contexts, explaining the meaning of 0 in each situation.
- 6.NS.C.6Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to represent points on the line and in the plane with negative number coordinates.
- 6.NS.C.7Understand ordering and absolute value of rational numbers.
- 6.NS.C.8Solve 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.

Graphing Integers on the Coordinate Grid

6th Grade Math

» Unit:

Coordinate Plane

Big Idea:Each point on a coordinate grid can be described with a pair of coordinate values (x, y) that describe the horizontal (x) and vertical (y) distance from the origin.

Rational Numbers on the Number line - Stations

6th Grade Math

» Unit:

Number Sense (2)

Big Idea:The number line is a useful tool to use when ordering rational numbers

Benchmark Fractions and more

6th Grade Math

» Unit:

Number Sense

Big Idea:When students understand how to use their benchmark fractions they can work more fluently to compute, compare, and order them.

Measuring and Weighing and Filling, OH MY!

6th Grade Math

» Unit:

Customary System

Big Idea: This lesson drives home the idea that studying for math means practicing problems and reflecting on your strategies

What Are Integers?

6th Grade Math

» Unit:

Integers and Rational Numbers

Big Idea:What are integers? How do integers connect with altitude, temperature, and football? Students work on understanding integers in multiple contexts.

Integers: Number Lines and Absolute Values

6th Grade Math

» Unit:

Integers and Rational Numbers

Big Idea:Opposite rational numbers have the same distance from 0 on a number line.
The absolute value of a number represents the distance from the number to 0.

Polygons on the Coordinate Grid

6th Grade Math

» Unit:

Coordinate Plane

Big Idea:A polygon is made up of line segments that connect the shape’s vertices. The vertices can be identified as unique points on a grid.

Integers in the Real World

6th Grade Math

» Unit:

Integers and Rational Numbers

Big Idea:Rational numbers and number lines can be used to represent real world situations.

Comparing Rational Numbers

6th Grade Math

» Unit:

Integers and Rational Numbers

Big Idea:Rational numbers and number lines can be used to represent real world situations.

Shapes on the Coordinate Grid

6th Grade Math

» Unit:

Coordinate Plane

Big Idea:A polygon is made up of line segments that connect the shape’s vertices. The vertices can be identified as unique points on a grid.

Review of Rational Numbers on the Number Line

6th Grade Math

» Unit:

Number Sense (2)

Big Idea:Preparing for a test requires lots of practice and this review will help students show what they know about how to use a number line.

Comparing and Ordering Integers

6th Grade Math

» Unit:

Integers and Rational Numbers

Big Idea:The order in which numbers are placed on a number line will determine relative value of the numbers.

Identifying and Representing Rational Numbers on a Number Line

6th Grade Math

» Unit:

Integers and Rational Numbers

Big Idea:Rational numbers and number lines can be used to represent real world situations.

Identifying Positive Rational Numbers on Number Lines

6th Grade Math

» Unit:

Integers and Rational Numbers

Big Idea:Rational numbers are all positive and negative integers, fractions, terminating and repeating decimals.

Rational Numbers and Integer Practice

6th Grade Math

» Unit:

Integers and Rational Numbers

Big Idea:What is a rational number? Which is greater: -1.6 or -1.5? Students work to answer these questions while also practicing adding integers.

6.NS.C.6a

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, e.g., –(–3) = 3, and that 0 is its own opposite.

6.NS.C.6b

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.

6.NS.C.6c

Find and position integers and other rational numbers on a horizontal or vertical number line diagram; find and position pairs of integers and other rational numbers on a coordinate plane.