Moodle's Youtube repository allows users to search from within the HTML/TinyMCE editor for a YouTube video which they can then embed without the need for any coding. The option needs to be enabled by the administrator before it is available for teachers and students.
To find out how to enable this functionality and how to use it in your Moodle course visit http://docs.moodle.org/20/en/Youtube_videos_repository
NB: Only your schools Moodle administrators will have access to the configuration settings to enable this functionality. If you do not have access then ask for this functionality to be enabled
:-) Happy learning