Trophies are a traditional way to congratulate someone for various reasons and it makes a nice remembrance of the occasion. There are dance trophies available that can be engraved and presented to teachers or students with their name and the reason they are receiving the trophy. If they are being congratulated for a particular style of dance, give a trophy with a corresponding figurine. Different styles of dance trophies are available such as ballet, jazz and tap.
A plaque is another good way to congratulate someone because it can be hung on the wall to commemorate their achievement. Plaques also allow more text than a trophy so the congratulatory sentiment can be expanded on. Dance plaques are available in different sizes and with various images such as a ballerina or a pair of dance shoes.
Many dance students and teachers across the country don't have the opportunity to study with leaders in the dance industry because they do not live close to cities like New York or Los Angeles, where many of these people work. Hire a well-known teacher and choreographer to come to your school and teach a master class. Announce at the end of the dance recital that as a way to congratulate the students and teachers, you will be holding a master class taught by the professional for hire, and all are free to attend. Aspiring dancers will appreciate the opportunity to study with a leader in their industry.
Most people enjoy winning and receiving prizes and as a way to congratulate the teachers and students that you want to recognize, consider some relevant prizes such as gift certificates to a dance store or tickets to a professional performance. Because many dancers have rough feet due to the rigors of dancing, consider offering a gift certificate to a nail salon for a pedicure.