Preheat oven to 375 degrees Fahrenheit. Line a cookie sheet with parchment paper or spray with nonstick cooking spray.
In an electric mixer cream together butter and all sugar. Beat in 1 egg and vanilla. Sift together flour, salt, and baking soda before adding to the bowl. Mix well. Add chocolate chips and stir with a spoon or spatula.
Form cookie dough into 8 evenly-sized balls. Mine ended up weighing 4.5 ounces each and were 2.75" wide. Place each ball on the prepared cookie sheet 2 inches apart.
Bake in the oven for 16-18 minutes until they are a golden brown. Allow cookies to cool on the pan for a couple of minutes before transferring to a cooling rack.