Last summer I had a 10-week internship in Colorado. Because I don't like dealing with a lot of luggage and waiting around at the airport to claim my baggage, I decided to pack light. Very light.
1.) Figure out exactly what you will be taking. If feasible, I suggest picking clothing items that are made of thin fabrics. Select items that can be mixed and matched for the widest range of outfit options.
2.) Don't fold. Instead, roll all your clothing. This will save you a lot of room and your clothes won't wrinkle as much.
3.) Now start putting your clothing into the suitcase in layers.
4.) I forgot to take a photo, but all my solid beauty/personal care items were placed in a makeup bag that I put in the center of the suitcase with a "wall" of clothing on all four sides. Any liquids were placed in a ziplock bag and put into the front pocket for quick retrieval. Don't bring items that you can inexpensively purchase at your destination (such as sunscreen and toothpaste).
5.) I put my notebooks, folders, and tablet on the top since flat items tend to fit really well here. I wore my bulky shoes with me to the airport. The white shoes shown in above photos were placed on top of the notebooks.