The small rocket that Professor Carlock, the science teacher, launches to celebrate Temple Grandin's success with the "perspective" room is a model of the "Little Joe II" which in 1962 was in the fabrication stage. The details needed would not have been available for modeling. The little Joe II's first test flight wasn't for another year still. Also, the size and configuration of the model rocket and its motor are too advanced for that time period. It wouldn't be until 1970 that a model of that size would be viable.