"I worked at an athletic camp" - Is This an Example of Leadership?

For my college app, I am required to write about an instance where I exhibited leadership.

I have decided to write about my recent work experience: (THIS IS NOT THE ACTUAL ESSAY..IT IS JUST A SUMMARY OF WHAT MY ESSAY IS)

I worked at an athletic camp, and while I was there, I realized that there were some kids who were not that skilled and couldn't keep up with the other campers. After observing this, I went to the staff and coaches and volunteered to take them and work on their basic skills for this sport while the other campers did what the schedule intended them to do. I did this for the rest of the week and not only worked with them and saw their skills improve greatly, but I also used different techniques to help boost their confidence because having confidence plays a big role in how an athlete plays, and how a person performs in everyday tasks. It wasn't an easy time, but I stuck with it, determined to make these kids not only improve their game, but allow them to finally experience the joy of playing this sport.

Is this considered leadership? I'm not worried about the grammar or anything, just if this sounds like an example of me acting like a leader/ exerting leadership...

Yes, I think it is. You observed a problem, created a solution, sold it to management, and successfully implemented it. Had you not been there, it would not have happened.

yes, it's leadership.

...volunteered to take them and work work with them on their basic skills for...

this sport while the other campers did what the schedule intended them to do. ---ooh, you worded this quite well. I like the way you personify schedule.

... used different various techniques to help boost their confidence because ...

:-)