The prescribed order of visit and worship on entering a Buddhist temple in the Theravada tradition:-
First the 'Chaitya' has to be worshiped because it contains the holy relics.
Next the 'Bodhi tree' because it reminds one of the Bodhi tree under which the 'Sakyamuni' attained Buddhahood.
Thirdly the statue of the Lord Buddha called with the honoric title the 'Pilimahan Vahanse', reminding one of the Lord Buddha as seen after His Enlightenment.
The 'Chaitya' - 'Saaririka'
The 'Bodhiya' - 'Paaribhogika'
The 'Pilimahan Vahanse' - 'Uddhesika'