The D.C. Department of Employment Services will hold a special registration for the city's Summer Youth Employment Program from 10 a.m. to 3 p.m. Feb. 27 at 500 C St. NW, Room 103. District residents between 14 and 21 years old who have interest in architecture, dance, drama, music, photography, radio, video, visual arts or writing may submit applications to D.C. Art/Works (formerly ARTS DC) during this special registration. Applicants are asked to bring to the registration a birth certificate, Social Security card, proof of District residence and proof of family income. For more information, call Deborah Carrington at 727-3412.Smithsonian Internships

The Smithsonian Institution will offer five-week internships to 40 students of the high school class of 1988. Students from local high schools and throughout the country may apply for the internships, which will net assignments in various Smithsonian offices and departments. For applications and information, high school seniors should write to Intern '88 Program, Office of Elementary and Secondary Education, Smithsonian Institution, Washington, D.C. 20560, or call 357-3049 or a number for the hearing impaired, 367-1696. Job Training Available

The D.C. Office of Employment Services is holding a job training program for bookkeeping, catering and word processing through the Latin American Youth Center. Day care and transportation allowance are provided. Call Teresa Rosa or Fred Mills at 483-1140.Science/Math Project Cited

The D.C. Public Schools' Science/Math Project has won a Tupperware Apple Tree Award. The volunteer program, in which about 100 scientists, mathematicians and engineers serve as lecturers and mentors in public schools, is in its third year. The award winners were selected by the National School Volunteer Program. SAT Review Available

The University of the District of Columbia continues its free Scholastic Aptitude Test review courses in English, mathematics and test-taking strategies. The courses will be from 9 a.m. to 1 p.m. on Saturday and Feb. 27. For information, call 282-2115. Dunbar PTA to Meet

Dunbar High School will hold its third annual Parents Teachers Association meeting from 7 to 9 tonight at the school, 1301 New Jersey Ave. NW. A Black History Month program will be presented. Retail Training Offered

A seven-week training course in practical skills needed in the retailing field is being offered by the Retail Skills Training Center, starting March 7.

For information, call Mr. Palacios or Mr. Goodson at 332-2447, or visit the center at 2701 Ontario Rd. NW, Suite 3B.Forum on the Black Family

The St. John Christian Methodist Episcopal Church, 2801 Stanton Rd. SE, will hold a community forum, "The Survival of the Black Family: Foster Care and Adoption of Our Children," at 10 a.m. Saturday.

The speakers will be Jean Boone of the Children's Defense Fund; Geneva Ware of the foster care and adoption division of the D.C. Department of Human Services; Deborah Bailey of the special needs adoption program of Lutheran Social Services, and Evelyn Whitehead, a foster parent.

The forum is free. For information, call Marilyn Thomas, 678-7788.