Boulder Valley School District has a really great interactive boundary map you can use:
For elementary schools, it will be difficult to determine which is the neighborhood school without a specific property address, since the intersection at Table Mesa and Broadway is right at the boundary of three schools. It could be Creekside, Bear Creek, or Mesa.
Middle school will be either Manhattan Middle or Southern Hills Middle, again because the middle school boundaries meet at Table Mesa and Broadway.
High School will mostly likely be Fairview High School.