Topics

Number Line

Integers

Absolute Value
Description
What do elevation, account balances, and temperature have in common? They can all be represented on a number line. Compare integers on a number line and in an inequality statement. Discover the meaning of absolute value.
Sample Learning Goals
 Use positive and negative numbers to represent quantities in multiple contexts.
 Explain the meaning of positive values, negative values, and zero, in multiple contexts.
 Describe the location of a point on a number line with respect to another number.
 Describe the location of a point on a number line with respect to its opposite
 Define the absolute value of a number as its distance from zero.
 Interpret inequality statements as statements about the relative position of two integers on a number line diagram.
Standards Alignment
Common Core  Math
6.NS.C.5
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 realworld contexts, explaining the meaning of 0 in each situation.
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.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.
6.NS.C.7
Understand ordering and absolute value of rational numbers.
6.NS.C.7a
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.
6.NS.C.7b
Write, interpret, and explain statements of order for rational numbers in realworld contexts. For example, write 3 ^{o}C > 7 ^{o}C to express the fact that 3 ^{o}C is warmer than 7 ^{o}C.
6.NS.C.7c
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 realworld situation. For example, for an account balance of 30 dollars, write 30 = 30 to describe the size of the debt in dollars.
6.NS.C.7d
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.
7.NS.A.1a
Describe situations in which opposite quantities combine to make 0. For example, a hydrogen atom has 0 charge because its two constituents are oppositely charged.
7.NS.A.1b
Understand p + q as the number located a distance q from p, in the positive or negative direction depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing realworld contexts.
Version 1.0.0
The new HTML5 sims can run on iPads and Chromebooks, as well as PC, Mac, and Linux systems.
iPad:
iOS 12+ Safari
iPad compatible sims
Android:
Not officially supported. If you are using the HTML5 sims on Android, we recommend using the latest version of Google Chrome.
Chromebook:
Latest version of Google Chrome
The HTML5 and Flash PhET sims are supported on all Chromebooks.
Chromebook compatible sims
Windows Systems:
Microsoft Edge and Internet Explorer 11, latest version of Firefox, latest version of Google Chrome.
Macintosh Systems:
macOS 10.9.5+, Safari 9+, latest version of Chrome.
Linux Systems:
Not officially supported. Please contact phethelp@colorado.edu with troubleshooting issues.