Robinson made his professional acting debut in a stage version of Charles Dickens' A Christmas Carol. In 2009, after only his second television audition, Robinson landed the role of Ryder Scanlon, nephew of Melissa Joan Hart's character on the ABC Family sitcom, Melissa & Joey, where he acted until the show concluded in 2015. In 2011, while on hiatus from Melissa & Joey, Robinson began filming of the Disney Channel original movie Frenemies with fellow Disney stars Bella Thorne and Zendaya of “Shake It Up.” Robinson played the role of Jake Logan. Frenemies premiered on January 13, 2012, on the Disney Channel. In 2012, Robinson was cast in the lead role of Joe Toy in director Jordan Vogt-Roberts feature film-debut The Kings of Summer. Filming began in May 2012 in the Cleveland, Ohio-area and ended August 2012. During the summer of 2012, Robinson began starring in a series of television commercials for Cox Communications entitled "Buffer Time is Bonding Time." In late 2013, Robinson was cast in Jurassic World, the long awaited reboot of the Jurassic Park franchise which was ultimately released in 2015. He co-starred with Ty Simpkins, playing a pair of brothers whom visit their aunt played by Bryce Dallas Howard at Jurassic World. Jurassic World went on to become the highest grossing film of 2015.