Conversion from t-butanol to alkene How can I accomplish the above conversion? 

My thoughts:


One way of introducing the double bond, would be using the appropriate Grignard Reagent after oxidation of t-butanol (somehow) 
I think that initial conversion to carbonyl compound is necessary - only then can we follow up with nucleophilic addition. 


P.S. The question was in the organometallics section of my assignment, possibly hinting that reagents apart from the above species may be used. However, won't it be great if we could design a mechanism using only the starting species and commonly available reagents?
t-butanol + allyltrimethylsilane + Lewis acid

This is called the Hosoni-Sakurai Reaction (see J. Org. Chem. 2006 71 8516)

Can only find an image for the more common addition to carbonyl compounds but there are examples of additions to alcohols (see the JoC reference)