I wrote this sheet initially to give students an idea of the type of things they could do to start off developing the drum beat for the guitar solo in a Grade 3 Rockschool song called Overrated (2012-18 syllabus). This sheet is also good for learning to develop the bass drum around a standard quarter note hi hat rock ostinato.
Start off by learning each bar separately before attempting a full run through. The hands will be playing the same beat in every bar apart from a crash half way through, and a drum fill in the last bar.
Every hi hat is to be played fairly open – enough to get that nice sizzley or slushy sound on the hi hats. You could play them more closed but with a slightly open feel, so they sound more crunchy – this would give a more hard rock sound.
These drum grooves would work well with classic rock and modern rock styles, and would fit with other styles in some situations, like for a slow metal groove or breakdown section, or played in a lively way in soul music, or in pop music (closed hi hats would also work well for pop).