This is an introduction to using the hi-hat foot in your playing.
You can get some really cool sounds playing 16th note hi-hat beats with alternating hand and foot patterns. The challenge is to alternate the hi-hat with the hand and foot without getting any open hi-hat sounds. This exercise explores some things you can do with this concept.
Here are some more linear beats to work on.
Use these exercises to build your linear vocabulary.
Use the paradiddle to get some melodic phrasing around the drum set.