Make the blackberry syrup

Cup of Yum
1. Add the fresh blackberries, granulated sugar, and 2 cups of the water to a medium saucepan, and heat over MED heat.
2. Stir as it heats, until the sugar is dissolved. Use a fork or potato masher to mash the berries, bringing out the juices.
3. Simmer, stirring occasionally, for about 5 minutes.
4. Remove from the heat and let cool to room temperature.
5. Place a fine mesh sieve over a mixing bowl, and pour the cooled blackberry syrup to the sieve. Strain to remove any seeds.

Make the lemonade

1. To a large pitcher, add lemon juice, remaining 3 cups of water, and the cooled blackberry syrup.
2. Stir to combine, then cover and refrigerate for 2 hours, or until well chilled.

Serve

1. Rim glasses with a bit of water or lemon juice, then dip rims in granulated sugar.
2. Add ice cubes to glasses, then pour in chilled blackberry lemonade. Top with a couple of fresh blackberries, and a lemon slice if desired.