Measure out 1 teaspoon (or about 2-3 grams) ceremonial grade matcha. Sift through a fine mesh sieve into a matcha bowl (chawan) or other bowl. Pour over about 2-3 tablespoons (20-30 mL) hot water. Even if you're planning to enjoy it iced, you'll extract the most flavor from the matcha if the water is around 160°F.
If you have a matcha whisk (chasen), whisk vigorously in W shapes for about 15-30 seconds to break up any clumps of matcha and to create a fine foam. Alternatively, you can use an electric frother.
Take a glass and spoon 2-3 tablespoons of the strawberry purée into the bottom. Add in ice and then pour in your milk — about 4-6 ounces depending on how strong you prefer the matcha flavor. Pour the frothed matcha over top, and enjoy. I think this is best sipped through a straw so you can slurp up some of the strawberry purée from the bottom!