Go to My Account > Visibility > Profile Visibility
Click the Profile View button to see how your profile will display on the platform.
You can adjust the visibility of your address, email, phone number, family pictures, and whether you allow chat messages. If you want to hide these data points, toggle off "Show my profile details."
Note that you cannot fully hide your presence from the network as a teacher. At a minimum, your name and group memberships will be displayed in the School Directory and applicable Classroom Directory. If you do not want this, deactivate your account.