The Improvement Kata + Coaching Kata (IK/CK) are about deliberate practice to develop scientific-thinking skill and mindset. That means IK/CK works well in combination with your existing Lean efforts.
Based on the book: Toyota Kata: Managing People for Improvement, Adaptiveness and Superior Results by Mike Rother.
The Five-Question card is available at http://www-personal.umich.edu/~mrother/KATA_Files/KC2_Opening.pptx
There is a related SlideShare at http://www.slideshare.net/mike734/a3-and-the-improvement-kata