Standard #: MAFS.6.NS.3.5 (Archived Standard)


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Understand 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, credits/debits, positive/negative electric charge); use positive and negative numbers to represent quantities in real-world contexts, explaining the meaning of 0 in each situation.


General Information

Subject Area: Mathematics
Grade: 6
Domain-Subdomain: The Number System
Cluster: Apply and extend previous understandings of numbers to the system of rational numbers. (Major Cluster) -

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

Date Adopted or Revised: 02/14
Date of Last Rating: 02/14
Status: State Board Approved - Archived
Assessed: Yes

Test Item Specifications

    N/A

    Assessment Limits :
    Items should not require the student to perform an operation.
    Calculator :

    No

    Context :

    Required



Sample Test Items (3)

Test Item # Question Difficulty Type
Sample Item 1 Chicago, Illinois has an elevation of 600 feet above sea level. The elevation of Desert Shores, California is −200 feet. 

Select all the true statements. 

 

N/A MS: Multiselect
Sample Item 2 Desert Shores, California is located at an elevation that is below sea level. 

What is a possible elevation of Desert Shores, California? 

 

N/A MC: Multiple Choice
Sample Item 3 Chicago, Illinois, has an elevation of 600 feet above sea level. The elevation of Desert Shores, California, is 800 feet less than the elevation of Chicago. 

Select all options that apply to Desert Shores. 

 

N/A MS: Multiselect


Related Courses

Course Number1111 Course Title222
1205010: M/J Grade 6 Mathematics (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
1205020: M/J Accelerated Mathematics Grade 6 (Specifically in versions: 2014 - 2015, 2015 - 2020, 2020 - 2022, 2022 and beyond (current))
1204000: M/J Foundational Skills in Mathematics 6-8 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
7812015: Access M/J Grade 6 Mathematics (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2022, 2022 and beyond (current))
7912110: Fundamental Explorations in Mathematics 1 (Specifically in versions: 2013 - 2015, 2015 - 2017 (course terminated))


Related Resources

Formative Assessments

Name Description
Relative Fractions

Students are given positive and negative fractions and asked to explain their meanings within the context of a problem.

Relative Integers

Students are asked to use numbers to represent gains/losses and to interpret the meaning of zero in the context of football.

Relative Decimals

Students are asked to explain the meaning of positive and negative decimals within the context of a problem.

Rainfall Change

Students are asked to interpret values given in a chart that represent positive and negative deviations from average rainfall.

Lesson Plans

Name Description
Too Hot, Too Cold-6th Grade STEM Lesson

A two day STEM lesson where students get a hands-on experience understanding positive and negative integers. Students will understand how temperature demonstrations and their own created models are used to visualize positive and negative integers in relation to 0 in real-world settings. Students will summarize their understanding of the relationship between positive and negative integers in relation to 0 for the evaluation of this lesson in a journal format.

The Layers of the Atmosphere, Guest Starring the Integers!

Students will learn the functions and characteristics of the four main layers of Earth's atmosphere. They will also determine the thickness of each layer and display them to scale. Students will plot the layers' temperatures, noting the change in temperature from the bottom to the top on a number line.

Raja Rangoli

Rangoli is a traditional Indian art that is used in decorating the entrance of the house to welcome guests. In this activity students will explore and practice the concepts of positive numbers, negative numbers, absolute value, origin, coordinates etc. and will create their own Rangoli design at the end.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.

Let's Ride!

Let's Ride! is a model-eliciting activity that asks students to use pluses and minuses to indicate if eight models of 4-door sedans meet specific standards based on gas mileage, seating capacity, warranty, and type of engine. The students then have to rank the cars and indicate their top four choices.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.

Understanding Integers

This lesson is an introduction to integers. Students will compare, order, and describe real-life situations using positive and negative whole numbers. The concepts of opposites and vertical as well as horizontal number lines are addressed.

Positive or Negative, It's All About Shopping!

This lesson introduces students to the concept of negative and positive integers as opposites and as indicators of movement, beginning with elevation and ending with real-world application to money.

Positive, Zero, or Negative?

This lesson involves students using positive and negative numbers to represent quantities in real-world contexts, explaining the meaning of zero in each situation. Students will understand the positive and negative numbers are used together to describe quantities having opposite values.

Original Student Tutorial

Name Description
Rational Numbers in Alaska

Follow Matteo as he explores opposite numbers, positive and negative rational numbers, and zero in real-world contexts while planning and going on a cruise in Alaska in this interactive tutorial. 

Problem-Solving Tasks

Name Description
Mile High

Students are asked to reason about and explain the position of two locations relative to sea level.

Distances on the Number Line 2

The purpose of this task is meant to reinforce students' understanding of rational numbers as points on the number line and to provide them with a visual way of understanding that the sum of a number and its additive inverse (usually called its "opposite") is zero.

It's Warmer in Miami

The purpose of this task is for students to apply their knowledge of integers in a real-world context.

Student Center Activity

Name Description
Edcite: Mathematics Grade 6

Students can practice answering mathematics questions on a variety of topics. With an account, students can save their work and send it to their teacher when complete.

Tutorial

Name Description
Adding Integers

Students will be able to see examples of addition of integers while watching a short video, and practice adding integers using an online quiz.

Student Resources

Original Student Tutorial

Name Description
Rational Numbers in Alaska:

Follow Matteo as he explores opposite numbers, positive and negative rational numbers, and zero in real-world contexts while planning and going on a cruise in Alaska in this interactive tutorial. 

Problem-Solving Tasks

Name Description
Mile High:

Students are asked to reason about and explain the position of two locations relative to sea level.

Distances on the Number Line 2:

The purpose of this task is meant to reinforce students' understanding of rational numbers as points on the number line and to provide them with a visual way of understanding that the sum of a number and its additive inverse (usually called its "opposite") is zero.

It's Warmer in Miami:

The purpose of this task is for students to apply their knowledge of integers in a real-world context.

Student Center Activity

Name Description
Edcite: Mathematics Grade 6:

Students can practice answering mathematics questions on a variety of topics. With an account, students can save their work and send it to their teacher when complete.

Tutorial

Name Description
Adding Integers:

Students will be able to see examples of addition of integers while watching a short video, and practice adding integers using an online quiz.



Parent Resources

Problem-Solving Tasks

Name Description
Mile High:

Students are asked to reason about and explain the position of two locations relative to sea level.

Distances on the Number Line 2:

The purpose of this task is meant to reinforce students' understanding of rational numbers as points on the number line and to provide them with a visual way of understanding that the sum of a number and its additive inverse (usually called its "opposite") is zero.

It's Warmer in Miami:

The purpose of this task is for students to apply their knowledge of integers in a real-world context.

Tutorial

Name Description
Adding Integers:

Students will be able to see examples of addition of integers while watching a short video, and practice adding integers using an online quiz.



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