Monday’s TV highlights

SERIES

The Sing-Off: The remaining groups perform guilty-pleasure songs for the judges in this new episode (8 p.m. NBC).

Terra Nova: An orphaned “Sixer” girl seeks asylum, but Jim and Shannon aren’t sure if they can trust her, in this new episode (8 p.m. Fox).

House: House and Park (Hugh Laurie, Charlyne Yi) suspect that a patient’s (Wentworth Miller) over-the-top altruism might be a symptom of a medical condition. With Odette Annable and Olivia Wilde (9 p.m. Fox).

Gene Simmons Family Jewels: “Shannon and Gene enroll in an intense marriage boot camp in the first of three new episodes (9, 10 and 10:30 p.m. A&E).

Bored to Death: While on the run with Ray (Zach Galifianakis), Jonathan (Jason Schwartzman) tries to track down the person who framed him, while George (Ted Danson) fights his own paranoia to cover for them in this new episode (9 p.m. HBO).

Craft in America: This documentary series returns with a look at four families of craft artists, including father and son glass artists in Seattle and an Oklahoma bootmaker who inspires her daughters (10 p.m. KOCE).

Invitation Only: Maritna McBride performs before an intimate audience in this new episode (10 p.m. CMT).

Castle: An insurance investigator (Kristin Lehman) joins Castle and Beckett (Nathan Fillion, Stana Katic) investigating a murder related to an art theft in this new episode (10 p.m. ABC).

MOVIES

I Am Number Four: An alien with extraordinary abilities poses as an ordinary teenager in the hope of evading those sent to kill him in this 2011 science fiction thriller starring Alex Pettyfer and Timothy Olyphant (7 p.m. Showtime).

SPORTS

Pro football: The Miami Dolphins visit the New York Jets (5:30 p.m. ESPN).

Hockey: The Ducks visit the San Jose Sharks (7:30 p.m. FS Prime).