No, they do not.
You may use any course names that you would like. It is not possible to convey exactly what has been covered by course names alone. When you submit semester grades, you will check a box to verify that your child has received or will receive instruction in the required subjects during the school year. Colorado law requires that private school students receive a “Basic academic education”, which includes instruction in specific subjects. It is entirely up to you to determine how those requirements have been met.