Colleps looked away from the screen and appeared uncomfortable when it was shown.
Prosecutor Elizabeth Beach told the court: 'One of the boys, as will happen with high school seniors, had his cellphone with him.
'And decided that this would be a good thing to get a clip of.'
The Star-Telegram reported that the video did not show Colleps face but only a woman's back while she was engaging in intercourse with at least two students while the others were in the room.
Though the students were over 18 at the time and considered adults, the law protects students from a relationship with someone in a superior position.
A distinctive tattoo can be seen in the video, which the student pointed out and said it belonged to Colleps.
The student, now 20, testified that he had sexual intercourse with his teacher five times in the Spring of 2011, four of which involved group sex with other male students.
Another student testified that after a series of texts from Colleps, she picked him up near his house and drove him to her home, where they had sex two days in a row.
It came after he 'poked' her on Facebook and she poked him back.
After that, he said, he got back together with a girlfriend and did not have sex with Colleps again. But when he told a friend he had sex with the teacher, he asked him to 'work some magic' and set them up.
Though she initially said she could not send them any pictures for fear she would be jailed, both students said she later texted nude pictures of herself as well as a video of her using a sex toy, according to the Star Telegram.
She later modeled lingerie for the students at her house before engaging in group sex in an upstairs bedroom, one of the students testified.
The 28-year-old is charged with several counts, including deviate sex and improper relationship between educator and student.
She has plead not guilty and faces up to 20 years in jail if convicted as well as a $10,000 fine on each of five charges of an improper relationship between an educator and student.
Her husband Christopher Colleps is a soldier stationed at Louisiana’s Fort Polk. He is allegedly standing by his wife.
He was not in the courtroom on Tuesday because he is a potential witness in the case. He is believed to have been overseas on duty with the U.S. military at the time.