Based on the price point, I am assuming this is a static, small scale website intended to showcase the dance school (as opposed to a dynamic/complex site that needs content management system, payment allocation, or commerce).
The first step would be to design the site based on the information you want put on it and the photographs/video you'd like included. After the design is created and approved by you, I'd implement it using HTML, CSS, and Javascript.
The price includes the design and development of a simple website and making that site responsive so it can be used on any size device.