Combine the strawberries, rum, lime juice, Simple Syrup and ginger in the carafe of a blender and puree until smooth. Pour into frozen drink glasses and garnish with sliced strawberries. Serve immediately.
Combine the sugar and 1 cup water in a small saucepan and bring to a boil. Cook, stirring, until the sugar dissolves. Remove from the heat and let cool completely. Keep covered in the refrigerator up to 1 month.