How do I ransfer my photos from my Samsung smart phone to my Facebook page?

1.) Sync your smartphone with your facebook account. Generally this can be done under (Apps --> Settings --> Accounts or Accounts and Sync [Varies by samsung model] --> Choose add account --> Choose Facebook and Login with your credentials.
2) Now you can open your gallery. You can chose the picture you want to share to facebook and click on it to make it take up the full screen. At the top of the screen a symbol that looks like this should appear
After clicking this symbol it should ask you what you want to share the photo to. Simply choose facebook and you're all set. Add a caption or tags right there.

Hope this helps