Add chopped strawberries to a small saucepan. Add sugar and stir to combine, then let sit for 10 minutes.
Add ½ cup (115g) water then bring the strawberry mixture to a simmer over medium-low heat, stirring occasionally until the sugar has dissolved, about 10 minutes. Remove from heat and let cool.
Strain the syrup, reserving the solids for another use (on toast or over oatmeal). Cover and refrigerate until ready to use, up to 1 month.
For the iced matcha latte:
In a small mixing bowl combine ½ cup (115g) room temperature water and the matcha powder. Whisk vigorously until frothy.
In another small bowl whisk together the milk with strawberry syrup.
Fill a glass with ice and add the strawberry milk. Pour the matcha over the top and serve immediately.
Notes
The strawberries can also be swapped for another berry like blueberries or raspberries. Be sure to strain the seeds from the simple syrup before use.