For classic cooked syrup, add 1 cup strawberries, 1 cup sugar, and 1 cup water to a small saucepan and stir to combine.
Bring the mixture to a gentle simmer over medium heat, stirring occasionally, until the water turns pinkish-red.
Mash the strawberries against the side of the pan with a fork to release their juices.
Simmer for 10 to 15 minutes, until the liquid thickens slightly into a pourable syrup. Stir in the optional 1/2 teaspoon lemon juice if using.
Remove from the heat, cool for a few minutes, then strain through a fine mesh sieve into a clean jar. Press the pulp gently to extract the syrup.
For honey-sweetened syrup, combine 200 g frozen strawberries, 50 g honey, and a splash of water in a small saucepan.
Simmer over low heat, mashing the strawberries as they soften, and keep the heat low so the honey does not burn.
Cook for 10 to 15 minutes, until thick and almost jam-like. Cool completely, then strain for a smooth syrup or leave chunky for a rustic texture.
For no-cook macerated syrup, toss 226 g chopped fresh strawberries with 100 g sugar in a bowl or zip-lock bag until coated.
Refrigerate for at least 2 hours, or overnight for deeper flavor, until the sugar draws out the strawberry juices.
Strain through a fine mesh sieve for a smooth syrup, or skip straining if you prefer texture.
To make a strawberry matcha latte, add 1 to 2 tablespoons strawberry syrup to the bottom of a glass.
Fill the glass with ice, then pour in your milk of choice.
Slowly pour whisked matcha over the back of a spoon so it layers over the milk and strawberry syrup.
Taste and add more syrup if desired.