Mix up a strawberry and lime syrup. Start with 1 cup of diced strawberries, .25 cup white sugar, and half a lime. Add the strawberries and sugar to a small saucepan, squeeze the juice from the lime into the saucepan and drop the skins in too. Heat the mixture over medium-low heat for 15 minutes, stirring continuously until a syrup forms. Discard the lime skins and set them aside to cool before using.
Combine all liquids but soda in a shaker with ice.
Add the tapioca pearls and finished syrup in the bottom of your serving glass