I showed my 7 year old a video of some origami animals that pop into their 3D shape when they are dropped on the table. He really wanted to make one so I did a quick search to find some 3D paper animals. What I found was this site, which was great!
http://www.3dgeography.co.uk/3d-model-animals
We printed out the tiger and cut, folded and glued it together. I think it turned out pretty well. They had more realistic patterns, but they looked a lot more difficult.
A cool tip that they gave in the instructions was to use a ball point pen or something to go over the lines of the folds. I didn’t want to write on it so I tried several alternatives (scissors, fork, knife, etc.). I ended up using a meat thermometer and it worked out great. Making that indention in the paper made it super easy to fold where you wanted it.
Below are several pictures of the process.