The assumed course of study at Greenwood High School is the Smart Core curriculum developed by the Arkansas Department of Education (ADE).

Students engage in regular and Advanced Placement (AP) coursework and exams to obtain at least 22 units before graduation.

Exceptional students have been recognized as National Merit Finalists and participated in Arkansas Governor's School.

In 2012, Greenwood School District and its high school were recognized in the AP District of the Year Awards program in the College Board's 3rd Annual Honor Roll that consisted of 539 U.S. public school districts (6 in Arkansas) that simultaneously achieved increases in access to AP® courses for a broader number of students and improved the rate at which their AP students earned scores of 3 or higher on an AP Exam.

Competition is primarily sanctioned by the Arkansas Activities Association with the Bulldogs competing in baseball, basketball (boys/girls), bowling, competitive cheer, cross country, dance, debate, football, golf (boys/girls), soccer (boys and girls), softball, speech, swimming (girls), tennis (boys/girls, track and field, volleyball, and wrestling.