As I tell my students: If there is something in life you want, make it happen! (And be then willing to handle the consequences of your actions with care and grace!) If there is an equation you wish to solve but wish there were a "+4" on the left ... make it happen! Add a 4 to the left, with the consequence of adding a 4 to the right as well. A beautiful problem-solving technique is to simply change the problem to what you wish it could be!
The Curriculum Bursts and companion Curriculum Inspirations Videos listed below demonstrate the concept of engaging in wishful thinking using problems from the AMC contests.
|Quadratic Values (pdf)||Watch the Video|
|Elite Players and Logarithms (pdf)||Watch the Video|
|Eliminating Roots (pdf)||Watch the Video|
|Three-Digit Reversal (pdf)||Watch the Video|
|One Versus Two Coin Tosses (pdf)||Watch the Video|