Kiker was constructed in 1992. The school is named for Bernice Kiker, one of the first female principals in Austin Independent School District. She was born in Dublin, Texas, but she lived in Austin for most of her life until she moved to Gloucester in 1992. She was a graduate of Southern Methodist University and received her M.A. from Colorado. After 21 years of teaching, she was was appointed Assistant Principal of Travis Heights Elementary School in Austin in 1943; she served as principal of the school from 1947 until her retirement in 1970. Bernice Kiker died May 28, 1995 at the age of 91.

In 2010, Kiker was recognized as a NCEA Higher Performing School by the National Center for Educational Achievement (NCEA). Kiker received recognition in the areas of Reading and Writing. The Higher Performing Schools are identified by two measures: consistent improvement in student achievement from previous years (growth) and/or absolute student achievement using the school's Commended Performance results on the spring 2010 TAKS (Texas Assessment of Knowledge and Skills) test. NCEA's higher performing methodology controls for school and student demographics to allow for an apples-to-apples comparison of school achievement and to demonstrate that with the commitment of educators, all schools can have success no matter the zip code. NCEA provided award certificates to each Higher Performing School and the district.

Kiker was also recognized by AISD in 2010, with Gold Performance Awards in:
- Attendance Rate for the 2008-2009 school year
- Commended Performance in Reading ELA/Math/Writing/Science, Spring 2010 TAKS
- Comparable Improvement in Math, Spring 2010 TAKS