First, gather your ingredients. These are all ingredients that you can most likely find around your house (perhaps with the exception of "Cream of Tartar." Before I made Play-Doh, I would have guessed it was something to do with Tartar sauce. Apparently it helps with the elasticity of the Play-Doh, but we didn't have any in my house and it still worked fine.)
With the exception of the food coloring, mix together all these ingredients in a pot and stir over medium heat. Stir until the Play-Doh resembles mashed potatoes; it should be sticky and thick. Let cool.
Now comes the fun part, and that's the food coloring. There are multiple ways you could do this. However, if you don't mind getting your hands dirty, then I would recommend kneading in the dye, just because it's a whole lot more fun! Now, my friend and I didn't have any food coloring available, but we did have blueberries!
After the dough is fully dyed, either place it in a plastic container or seal it in a Zip-Loc bag. Keep refridgerated. Enjoy your homemade Play-Doh!