Standard #: MAFS.6.NS.3.7 (Archived Standard)


This document was generated on CPALMS - www.cpalms.org



Understand ordering and absolute value of rational numbers.
  1. Interpret statements of inequality as statements about the relative position of two numbers on a number line diagram. For example, interpret -3 > -7 as a statement that -3 is located to the right of -7 on a number line oriented from left to right.

  2. Write, interpret, and explain statements of order for rational numbers in real-world contexts. For example, write -3 oC > -7 oC to express the fact that -3 oC is warmer than -7 oC.

  3. 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. For example, for an account balance of -30 dollars, write |-30| = 30 to describe the size of the debt in dollars.

  4. Distinguish comparisons of absolute value from statements about order. For example, recognize that an account balance less than -30 dollars represents a debt greater than 30 dollars.


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 :

    N/A

    Calculator :

    No

    Context :

    Allowable



Sample Test Items (3)

Test Item # Question Difficulty Type
Sample Item 1

Which value is furthest from 0 on the number line?

 

N/A MC: Multiple Choice
Sample Item 2

The elevations of several cities are shown.

Select which city has the greatest elevation and which city is farthest from sea level.

 

 

N/A MI: Matching Item
Sample Item 3

Chicago has a temperature of begin mathsize 12px style negative 10 end style degrees Fahrenheit (ºF). It is colder in Minneapolis than in Chicago.

Select all the values that could represent the temperature of Minneapolis.

 

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
South Pole

Students are asked to interpret an inequality relating two temperatures.

Visualizing Absolute Value

Students are asked to identify a number’s possible locations on a number line when given the number’s absolute value.

Submarines

Students are asked to write integers to represent quantities given in context and to relate the integers with an inequality.

Positions of Numbers

Students are asked to describe the positions of numbers relative to each other on a number line.

Absolute Altitudes

Students are asked to compare two elevations and their absolute values and then interpret these comparisons within a given real-world context.

Lesson Plans

Name Description
Positive or Negative? Does It Matter?

This lesson aligns to the Mathematics Formative Assessment System (MFAS) Task Submarines (CPALMS Resource ID# ). In this lesson, students with similar instructional needs are grouped according to MFAS rubric levels: Getting Started, Moving Forward, Almost There, and Got It. Students in each group complete an exercise designed to move them toward a better understanding of the ordering of rational numbers.

Absolutely Integers

Students will review how to graph positive numbers and then negative numbers on a number line. The students will review absolute value and apply this to different integers. They will then play a fun game to check their understanding.

Problem-Solving Tasks

Name Description
Above and below sea level

The purpose of this task is to help students interpret signed numbers in a context as a magnitude and a direction and to make sense of the absolute value of a signed number as its magnitude. The questions about the elevation of New Orleans are fairly natural: it is a standard convention to use positive numbers to represent elevations above sea level and negative numbers below sea level. However, it is possible to represent them the other way around.

Comparing Temperatures

The purpose of the task is for students to compare signed numbers in a real-world context.

Fractions on the Number Line

The purpose of this task is to help students get a better understanding of fractions on a number line.

Integers on the Number Line 2

The purpose of this task is for students to get a better understanding of the relative positions and values of positive and negative numbers.

Jumping Flea

This purpose of this task is to help students understand the absolute value of a number as its distance from 0 on the number line. The context is not realistic, nor is meant to be; it is a thought experiment to help students focus on the relative position of numbers on the number line.

Tutorials

Name Description
Ordering Negative Numbers

Let's order negative numbers from least to greatest in this video.

Ordering Rational Numbers

In this tutorial, you will learn how to order rational numbers using a number line.

Comparing Absolute Values

In this tutorial you will compare the absolute value of numbers using the concepts of greater than (>), less than (<), and equal to (=).

Sorting Values on Number Line

This video demonstrates sorting values including absolute value from least to greatest using a number line.

Values to Make Absolute Value Inequality True

This video demonstrates solving absolute value inequality statements.

Interpreting Absolute Value

This video is about interpreting absolute value in a real-life situation.

Pre-Algebra - Whole Numbers, Integers, and the Number Line

Number systems evolved from the natural "counting" numbers, to whole numbers (with the addition of zero), to integers (with the addition of negative numbers), and beyond. These number systems are easily understood using the number line.

Ordering Numeric Expressions

The video demonstrates rewriting given numbers in a common format (as decimals), so they can be compared and ordered.

Student Resources

Problem-Solving Tasks

Name Description
Comparing Temperatures:

The purpose of the task is for students to compare signed numbers in a real-world context.

Integers on the Number Line 2:

The purpose of this task is for students to get a better understanding of the relative positions and values of positive and negative numbers.

Jumping Flea:

This purpose of this task is to help students understand the absolute value of a number as its distance from 0 on the number line. The context is not realistic, nor is meant to be; it is a thought experiment to help students focus on the relative position of numbers on the number line.

Tutorials

Name Description
Ordering Negative Numbers:

Let's order negative numbers from least to greatest in this video.

Ordering Rational Numbers:

In this tutorial, you will learn how to order rational numbers using a number line.

Comparing Absolute Values:

In this tutorial you will compare the absolute value of numbers using the concepts of greater than (>), less than (<), and equal to (=).

Sorting Values on Number Line:

This video demonstrates sorting values including absolute value from least to greatest using a number line.

Values to Make Absolute Value Inequality True:

This video demonstrates solving absolute value inequality statements.

Interpreting Absolute Value:

This video is about interpreting absolute value in a real-life situation.

Pre-Algebra - Whole Numbers, Integers, and the Number Line:

Number systems evolved from the natural "counting" numbers, to whole numbers (with the addition of zero), to integers (with the addition of negative numbers), and beyond. These number systems are easily understood using the number line.

Ordering Numeric Expressions :

The video demonstrates rewriting given numbers in a common format (as decimals), so they can be compared and ordered.



Parent Resources

Problem-Solving Tasks

Name Description
Comparing Temperatures:

The purpose of the task is for students to compare signed numbers in a real-world context.

Integers on the Number Line 2:

The purpose of this task is for students to get a better understanding of the relative positions and values of positive and negative numbers.

Jumping Flea:

This purpose of this task is to help students understand the absolute value of a number as its distance from 0 on the number line. The context is not realistic, nor is meant to be; it is a thought experiment to help students focus on the relative position of numbers on the number line.

Tutorial

Name Description
Ordering Numeric Expressions :

The video demonstrates rewriting given numbers in a common format (as decimals), so they can be compared and ordered.



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