Step 1: Chop the chocolate into small pieces. Melt in a double boiler or by microwaving for 30 seconds at a time, stirring between each time, until fully melted.
Step 2: Add the hot chocolate mix and sugar to the melted chocolate. Stir until blended.
Step 3: Slowly add half a cup of the milk, and stir until smooth.
Step 4: In a blender, place the remaining cup of milk, the chocolate mixture, and the ice. Blend on high speed until smooth.
Step 5: Pour into cup or mug and top with whipped cream and chocolate shavings.