
01 
An easy way to remember how to change the base of a logarithm 




02 
A humorous look at the plural of focus. Makes it easy to remember 




03 
How an ellipse can eventually turn into a circle. What happens when the foci coalesce 




04 
Applications of the conic sections 




05 
A discussion of the difference between combinations and permutations.. selecting and ordering 




06 
Cross multiplication. Yes, it's a shortcut, but what is it, really? 




07 
Application of the distance formula. A simultaneous look at both the distance formula and the equation of a circle. 




08 
The relationship between a, b, and c for the ellipse and hyperbola. Normally, very confusing... an easy way to remember. 




09* 
An absolutely stunning revelation. How to easily associate the following with x & y: horz, vert, domain, range, h, k, abscissa, ordinate, sin, cos, dependent, independent 




10 
Anything to the 0 power is 1. Oh yeah? Why is it true and what's the exception? 




11 
"Cornbread are square". A surefire way to get them to remember the formula for the area of a circle 




12 
Origins of imaginary numbers... a historical perspective 




13 
More revelations about imaginary numbers. Students memorize that i^{2} is 1... but why? 




14 
Students often just go on autopilot and replace square root with the 1/2 power. Give them insight into why.





15 
A special discussion of rationals and irrationals... with a little humor thrown in for good measure 




16 
Give students some hope that there is a practical use for the factoring of a^{2}  b^{2} 




17 
Student confusion with linear inequalities.... tell them to "get out of the rain" and they'll never forget. 




18 
Is there a fourth dimension? What about people who live in just twodimensions? A story from "FlatLand". 




19 
What a big word!... orthogonal. What does it mean? 




20 
An interesting look at the arguments of sine and cosine in terms of frequency. 


