Make the strawberry simple syrup. Combine water, sugar and strawberries in a medium saucepan over medium high heat. Bring to a boil, and then reduce to a simmer. Cook until strawberries are soft. Strain and cool.
Pour a little of the strawberry syrup in a bowl. Pour the graham crackers in a second bowl. Dip the rim of your glass into the syrup, and then the graham crackers. Set aside.
Combine the strawberry syrup and vodka in a cocktail shaker filled halfway with ice. Shake for 30 seconds. Strain into glass.