6.NS

6.NS.C.6

Understand 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.

36 Lesson(s)

Scroll to child tags

Graphing Integers on the Coordinate Grid

6th Grade Math » Unit: Coordinate Plane

Carla Seeger

New Haven, CT

Environment: Urban

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.

Standards:

6.NS.C.6 6.NS.C.8 6.G.A.3 MP2 MP3 MP4 MP6 MP8

Favorites (100)

Resources (18)

Rational Numbers on the Number line - Stations

6th Grade Math » Unit: Number Sense (2)

Michelle Schade

Plainfield, IL

Environment: Suburban

Big Idea:

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

Standards:

6.NS.C.6 MP1 MP2 MP3 MP5 MP6

Favorites (34)

Resources (14)

Benchmark Fractions and more

6th Grade Math » Unit: Number Sense

Michelle Schade

Plainfield, IL

Environment: Suburban

Big Idea:

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

Standards:

6.NS.C.6 MP1 MP2 MP3 MP5

Favorites (7)

Resources (23)

Reflections (2)

Measuring and Weighing and Filling, OH MY!

6th Grade Math » Unit: Customary System

Michelle Schade

Plainfield, IL

Environment: Suburban

Big Idea:

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

Standards:

6.RP.A.3d 6.NS.C.6 MP1 MP2 MP3 MP4 MP5

Favorites (6)

Resources (14)

What Are Integers?

6th Grade Math » Unit: Integers and Rational Numbers

Andrea Palmer

Somerville, MA

Environment: Urban

Big Idea:

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

Standards:

6.NS.C.5 6.NS.C.6 MP1 MP2 MP3

Favorites (91)

Resources (30)

Integers: Number Lines and Absolute Values

6th Grade Math » Unit: Integers and Rational Numbers

Carla Seeger

New Haven, CT

Environment: Urban

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.

Standards:

6.NS.C.5 6.NS.C.6 6.NS.C.7 MP1 MP4 MP6 MP7

Favorites (78)

Resources (18)

Reflections (1)

Polygons on the Coordinate Grid

6th Grade Math » Unit: Coordinate Plane

Carla Seeger

New Haven, CT

Environment: Urban

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.

Standards:

6.NS.C.6 6.NS.C.8 6.G.A.3 MP2 MP3 MP6 MP8

Favorites (29)

Resources (19)

Reflections (1)

Integers in the Real World

6th Grade Math » Unit: Integers and Rational Numbers

Carla Seeger

New Haven, CT

Environment: Urban

Big Idea:

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

Standards:

6.NS.C.5 6.NS.C.6 6.NS.C.6a MP1 MP2 MP6 MP7

Favorites (40)

Resources (20)

Reflections (1)

Comparing Rational Numbers

6th Grade Math » Unit: Integers and Rational Numbers

Carla Seeger

New Haven, CT

Environment: Urban

Big Idea:

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

Standards:

6.NS.C.6 6.NS.C.6a 6.NS.C.7 6.NS.C.7a 6.NS.C.7b 6.NS.C.7c 6.NS.C.7d MP1 MP2 MP3 MP4 MP6 MP7

Favorites (17)

Resources (18)

Reflections (1)

Shapes on the Coordinate Grid

6th Grade Math » Unit: Coordinate Plane

Carla Seeger

New Haven, CT

Environment: Urban

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.

Standards:

6.NS.C.6 6.NS.C.8 6.G.A.3 MP2 MP3 MP6 MP8

Favorites (26)

Resources (18)

Reflections (1)

Review of Rational Numbers on the Number Line

6th Grade Math » Unit: Number Sense (2)

Michelle Schade

Plainfield, IL

Environment: Suburban

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.

Standards:

6.NS.C.5 6.NS.C.6 6.NS.C.7 6.NS.C.8 MP1 MP2 MP3 MP4 MP5 MP6

Favorites (15)

Resources (17)

Reflections (1)

Comparing and Ordering Integers

6th Grade Math » Unit: Integers and Rational Numbers

Carla Seeger

New Haven, CT

Environment: Urban

Big Idea:

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

Standards:

6.NS.C.5 6.NS.C.6 6.NS.C.7 6.NS.C.7a 6.NS.C.7b 6.NS.C.7c MP1 MP2 MP3 MP4 MP6 MP7

Favorites (16)

Resources (17)

Reflections (1)

Identifying and Representing Rational Numbers on a Number Line

6th Grade Math » Unit: Integers and Rational Numbers

Carla Seeger

New Haven, CT

Environment: Urban

Big Idea:

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

Standards:

6.NS.C.6 MP3 MP4 MP6

Favorites (19)

Resources (17)

Reflections (1)

Identifying Positive Rational Numbers on Number Lines

6th Grade Math » Unit: Integers and Rational Numbers

Carla Seeger

New Haven, CT

Environment: Urban

Big Idea:

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

Standards:

6.NS.C.6 MP4 MP6

Favorites (18)

Resources (18)

Reflections (1)

Rational Numbers and Integer Practice

6th Grade Math » Unit: Integers and Rational Numbers

Andrea Palmer

Somerville, MA

Environment: Urban

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.

Standards:

6.NS.C.6 7.NS.A.1d MP1 MP2 MP3 MP4 MP5

Favorites (18)

Resources (25)

See all 36 aligned lessons

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.

13 Lesson(s)

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.

11 Lesson(s)

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.

12 Lesson(s)

Common Core Math

Kindergarten

Counting & Cardinality

Operations & Algebraic Thinking

Number & Operations in Base Ten

Measurement and Data

Geometry

First Grade

Operations & Algebraic Thinking

Number & Operations in Base Ten

Measurement and Data

Geometry

Second Grade

Operations & Algebraic Thinking

Number & Operations in Base Ten

Measurement and Data

Geometry

Third Grade

Operations & Algebraic Thinking

Number & Operations in Base Ten

Numbers & Operations-Fractions

Measurement and Data

Geometry

Fourth Grade

Operations & Algebraic Thinking

Number & Operations in Base Ten

Number & Operations—Fractions

Measurement and Data

Geometry

Fifth Grade

Operations & Algebraic Thinking

Number & Operations in Base Ten

Number & Operations—Fractions

Measurement & Data

Geometry

Sixth Grade

Ratios & Proportional Relationships

The Number System

Expressions & Equations

Geometry

Statistics & Probability

Seventh Grade

Ratios & Proportional Relationships

The Number System

Expressions & Equations

Geometry

Statistics & Probability

Eighth Grade

The Number System

Expressions & Equations

Functions

Geometry

Statistics & Probability

HS Number & Quantity

The Real Number System

Quantities

The Complex Number System

Vector & Matrix Quantities

HS Algebra

Seeing Structure in Expressions

Arithmetic with Polynomials & Rational Expressions

Creating Equations*

Reasoning with Equations & Inequalities

HS Functions

Interpreting Functions

Building Functions

Linear, Quadratic, & Exponential Models*

Trigonometric Functions

HS Geometry

Congruence

Similarity, Right Triangles, & Trigonometry

Circles

Expressing Geometric Properties with Equations

Geometric Measurement & Dimension

Modeling with Geometry

HS Statistics & Probability

Interpreting Categorical & Quantitative Data

Making Inferences & Justifying Conclusions

Conditional Probability & the Rules of Probability

Using Probability to Make Decisions

Kindergarten

Reading: Literature

Reading: Informational Text

Reading: Foundational Skills

Writing

Speaking & Listening

Language

First Grade

Reading: Literature

Reading: Informational Text

Reading: Foundational Skills

Writing

Speaking & Listening

Language

Second Grade

Reading: Literature

Reading: Informational Text

Reading: Foundational Skills

Writing

Speaking & Listening

Language

Third Grade

Reading: Literature

Reading: Informational Text

Reading: Foundational Skills

Writing

Speaking & Listening

Language

Fourth Grade

Reading: Literature

Reading: Informational Text

Reading: Foundational Skills

Writing

Speaking & Listening

Language

Fifth Grade

Reading: Literature

Reading: Informational Text

Reading: Foundational Skills

Writing

Speaking & Listening

Language

Sixth Grade

Reading: Literature

Reading: Informational Text

Writing

Speaking & Listening

Language

Reading: History/Social Studies

Reading: Science & Technical Subjects

Writing: History/Social Studies, Science, & Technical Subjects

Seventh Grade

Reading: Literature

Reading: Informational Text

Writing

Speaking & Listening

Language

Reading: History/Social Studies

Reading: Science & Technical Subjects

Writing: History/Social Studies, Science, & Technical Subjects

Eighth Grade

Reading: Literature

Reading: Informational Text

Writing

Speaking & Listening

Language

Reading: History/Social Studies

Reading: Science & Technical Subjects

Writing: History/Social Studies, Science, & Technical Subjects

Ninth and Tenth Grade

Reading: Literature

Reading: Informational Text

Writing

Speaking & Listening

Language

Reading: History/Social Studies

Reading: Science & Technical Subjects

Writing: History/Social Studies, Science, & Technical Subjects

Eleventh and Twelfth Grade

Reading: Literature

Reading: Informational Text

Writing

Speaking & Listening

Language

Reading: History/Social Studies

Reading: Science & Technical Subjects

Writing: History/Social Studies, Science, & Technical Subjects

Kindergarten

Physical Sciences

Life Sciences

Earth and Space Sciences

Engineering, Technology, and Applications of Science

First grade

Physical Sciences

Life Sciences

Earth and Space Sciences

Engineering, Technology, and Applications of Science

Second grade

Physical Sciences

Life Sciences

Earth and Space Sciences

Engineering, Technology, and Applications of Science

Third Grade

Physical Sciences

Life Sciences

Earth and Space Sciences

Engineering, Technology, and Applications of Science

Fourth grade

Physical Sciences

Life Sciences

Earth and Space Sciences

Engineering, Technology, and Applications of Science

Fifth grade

Physical Sciences

Life Sciences

Earth and Space Sciences

Engineering, Technology, and Applications of Science

Middle School

Physical Sciences

Life Sciences

Earth and Space Sciences

Engineering, Technology, and Applications of Science

High School

Physical Sciences

Life Sciences

Earth and Space Sciences

Engineering, Technology, and Applications of Science

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The Number System

6.NS

6.NS.C.6

Understand 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.

Graphing Integers on the Coordinate Grid

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

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

Benchmark Fractions and more

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!

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

What Are Integers?

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

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

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

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

Comparing Rational Numbers

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

Shapes on the Coordinate Grid

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

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

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

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

Identifying Positive Rational Numbers on Number Lines

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

Rational Numbers and Integer Practice

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.

Kindergarten

First Grade

Second Grade

Third Grade

Fourth Grade

Fifth Grade

Sixth Grade

Seventh Grade

Eighth Grade

HS Number & Quantity

HS Algebra

HS Functions

HS Geometry

HS Statistics & Probability

Kindergarten

First Grade

Second Grade

Third Grade

Fourth Grade

Fifth Grade

Sixth Grade

Seventh Grade

Eighth Grade

Ninth and Tenth Grade

Eleventh and Twelfth Grade

Kindergarten

First grade

Second grade

Third Grade

Fourth grade

Fifth grade

Middle School

High School

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