1. School for the Talented and Gifted. Dallas, Texas. For the fourth consecutive year, the School for the Talented and Gifted, a Dallas magnet school known as TAG, was ranked as the No. 1 public high school in the country. BASIS Scottsdale in Arizona took second place in the national rankings for the second year in a row 3. Thomas Jefferson High School for Science and Technology. Alexandria, Virginia. Thomas Jefferson High School for Science and Technology in Virginia moved up one spot to No. 3 4. Gwinnett School of Mathematics, Science and Technology. Lawrenceville, Georgia. Jefferson traded places with...