water samples are first diluted and streaked into the BBM or BG12 or BG 11 media solidified with 1.8% agar ,mean while sample are inoculated into the broth of the above mentioned media.After week of incubation times under continuous day and dark night cycle of illumination colonies of isolated cyanobacteria will grow on the agar plate.Isolated colonies of cyanobacteria are picked and inoculated into the fresh medium.
If you want to grow cyanobacteria in liquid media, instead of agar plates, the serial dilution culture technique can be very effective. This link will take you to paper that explains the basics of the method.