To make a leap means to make a choice decision or commitment without any logical reason to do so. To make a leap can also mean to jump and spring forward with force or energy. To make a leap can also mean to commit to a change in the way that you think or in what you do. 

1. Just because he lied about being at home yesterday doesn't mean that he committed the crime. Why don't you talk to him instead of making the leap that he's guilty?
2. I made a big leap in terms of my commitment to work and study this year and judging by my results, it has paid off.

1. Even though it hasn't been easy, I'm glad I made the leap and started my own business.
2. If we're going to make the leap from small retailer to a national brand then we need heavy investment and forward-thinking leadership.