Final answer:
A group of teachers working together to lobby for better compensation and work environments is known as a Union.
Step-by-step explanation:
The name given to a group of teachers who work together toward lobbying for compensation and better work environments is Union. Teachers' unions, such as the National Education Association (NEA), Service Employees International Union (SEIU), and American Federation of Teachers (AFT), are examples of labor unions that advocate on behalf of their members for improvements in pay, benefits, working conditions, and shared governance. These unions may also participate in political activities, supporting policies and candidates aligned with their goals.