You can set the slider in such a way that any given one year is selected by adjusting the ends of the slider. After that you can just click anywhere on the slider (not the ends) and move it so that only one year is selected at any given time.
You can also drag and drop your Date dimension on the 'Pages' card and set the granularity to Year so that when you playback only a year's data is shown in progression.
Let me know if this helps!
Thanks so much for your help, Devarsh! You were right - I dropped the Year dimension on the Pages shelf and was able to select the appropriate slider to show the progression.