- 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.* - Write, interpret, and explain statements of order for rational numbers in real-world contexts.
*For example, write -3*^{o}C > -7^{o}C to express the fact that -3^{o}C is warmer than -7^{o}C. - 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.* - 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.*

**Subject Area:**Mathematics

**Grade:**6

**Domain-Subdomain:**The Number System

**Cluster:**Level 2: Basic Application of Skills & Concepts

**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

**Assessment Limits :**N/A

**Calculator :**No

**Context :**Allowable

**Test Item #:**Sample Item 1**Question:**Which value is furthest from 0 on the number line?

**Difficulty:**N/A**Type:**MC: Multiple Choice

**Test Item #:**Sample Item 2**Question:**The elevations of several cities are shown.

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

**Difficulty:**N/A**Type:**MI: Matching Item

**Test Item #:**Sample Item 3**Question:**Chicago has a temperature of degrees Fahrenheit (ºF). It is colder in Minneapolis than in Chicago.

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

**Difficulty:**N/A**Type:**MS: Multiselect

## Related Courses

## Related Access Points

## Related Resources

## Formative Assessments

## Lesson Plans

## Problem-Solving Tasks

## Tutorials

## MFAS Formative Assessments

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

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

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

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

## Student Resources

## Problem-Solving Tasks

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

Type: Problem-Solving Task

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

Type: Problem-Solving Task

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.

Type: Problem-Solving Task

## Tutorials

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

Type: Tutorial

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

Type: Tutorial

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

Type: Tutorial

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

Type: Tutorial

This video demonstrates solving absolute value inequality statements.

Type: Tutorial

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

Type: Tutorial

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.

Type: Tutorial

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

Type: Tutorial

## Parent Resources

## Problem-Solving Tasks

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

Type: Problem-Solving Task

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

Type: Problem-Solving Task

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.

Type: Problem-Solving Task

## Tutorial

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

Type: Tutorial