Absolute Value Equations and Inequalities
Often absolutely difficult!
In the good ole days when TTG taught Algebra, students often struggled with these types of problems.
What to do?
Write a goofy song parody of course, involving a sweet, cute little puppy!
The four verses below reflect the types of problems Algebra students encounter when dealing with absolute value.
Some absolute-ly actual examples:
Check out the original song sheet!
Apart from a music clip feature and some modest DOM work, where's the JavaScript here? Glad you asked! Novices will be adding a load-verse functionality soon!
... l.o.a.d.i.n.g...
Odie is a special dog,
Odie is my hero!
"Absolute Value of Odie" means
"How far is he from zero?!"
"Abs Val Odie " = n
Odie is excited!
Cuz to plus or minus n
Dear Odie's been invited!
"Abs Val Odie " < n
Odie's sANDwiched dog run
Spans from minus n to n
Dear Odie's bounded - no fun!
"Abs Val Odie " > n
R-A-Y-S of hope depicted....
Free to roam most anywhere
'Cept 'tween the n's - RESTRICTED!
"Abs Val Odie " stuck between
Two numbers - What a Bummer!
(Not so bad?...) A dog run's there
For Winter or for Summer!
This verse is courtesy of Claude! See Ask Copilot Entry #71 for details!
Odie's at the point (x, y)!
Let's call Pythagoras, real quick!
Square x, square y, then sum them up...
The square root does the whole trick!