Number and Number Sense
Focus: Proportional Reasoning
The student will
e) identify and describe absolute value for rational numbers. 


Essential Knowledge and Skills 
 Demonstrate absolute value using a number line.
 Determine the absolute value of a rational number.
 Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle to solve practical problems.† Revised March 2011

Essential Understandings 
 Why is the absolute value of a number positive? The absolute value of a number represents distance from zero on a number line regardless of direction. Distance is positive.


Vertical Articulation 
 SOL 5.2ab  a) recognize/name fractions in
their equivalent decimal form and
vice versa; b) compare/order fracts
and decimals
 SOL 6.2ab  a) frac/dec/%  a) describe as
ratios; b) ID from representation;
 SOL 6.2cd  c)
equiv relationships; d)
compare/order
 SOL 8.1b  compare/order fract/dec/%,
and scientific notation
 SOL A.1  represent verbal quantitative
situations algebraically/evaluate
expressions for given replacement
values of variables

Instructional Materials 
 VDOE Enhanced Scope and Sequence Lesson: Absolute Value (PDF)  Identifying and describing absolute value for rational numbers (Word)
 Notes: Absolute Value (ppt)
 Notes: Absolute Value (flipchart)
 Interactive Notes: Absolute Value TEI (flipchart)

Real World Lessons 

Practice 

SOL Mini Quiz 
 SOL 7.1e Mini Quiz: Absolute Value (pdf)  (doc)

Skills 

Videos 
 Khan Academy: Absolute Value of Integers
 Khan Academy: Absolute Value and Number Lines
 PH: Comparing and ordering integers using absolute value or a number line

Explore
Learning 
 Comparing and Ordering Integers: Compare and order integers using draggable points on a number line. Also explore the opposites of numbers on the number line.
 Real Number Line  Activity A: Use a number line to compare numbers. Change values by dragging points on the number line. Compare the opposites and absolute values of the numbers.

Websites 
 Math Goodies: Notes on Absolute Value
 Math is Fun: Absolute Value
 XP Math: Absolute Value Game

VDOE Interventions 
 VDOE Algebra Readiness Curriculum Companion: Exploring Decimals  The lessons focus on identifying place values, rounding decimals through hundredths, and
performing operations of decimals and writing and solving problems with decimals.(pdf)
 VDOE Algebra Readiness Curriculum Companion: Working with Fractions  The lessons focus on fraction computation, factors, and multistep practical problems with
fractions. Students are expected to model multiple representations of the multiplication and division of
fractions. (pdf)

Common Core
Standards 
6.NS.7b 
6.NS.7c 
6.NS.7d 
7.NS.1b 
7.NS.1c 
