VEX Robotic Competition
The VEX Robotic Competition (VRC) is a challenging and rewarding experience for middle and high school students interested in robotics. Each year, a new game is created where students must construct a robot using a VEX robotics kit to participate. This competition not only allows young minds to explore robotics, but also teaches them the value of teamwork and good sportsmanship.
A video for the 2015-2016 game can be found here: https://youtu.be/A8daR6qBw3M
Along with VRC, The VEX IQ Challenge allows students in elementary and middle school to start off with the basics in robotics.
RoboRAVE is an international K-12 robotics competition that takes place annually in New Mexico. It is currently New Mexico's largest robotics competition dedicated for kids. Teams of elementary, middle, and high school students can compete in several challenges involving LEGO Mindstorms NXT. The challenges range in difficulty from introductory to advanced, providing opportunities for every age and learning level.
RoboRAVE Website: http://roboquerque.org/