The video is about Adam and Judy making a table from newspapers, a piece of chip board, and masking tape. They make the legs of the table from rolling up the news paper and taping it and using it as legs, then puts the chip board on the top as the table top and then putting heaver objects on top to see if it will work.
The "Design Squad" is a T.V show and a website that tries "to give kids a stronger understanding of the connection between engineering and the things we all use in everyday life." The "Design Squad" helps them with math and science skills as well.
Sources: Design Squad