In a small saucepan, combine ½ cup of water with ½ cup of granulated sugar and heat until it boils, stirring occasionally for about 3-5 minutes. Remove from heat and let cool.

Cut half a medium watermelon into cubes, place into a blender, and puree until smooth. Strain through a fine mesh sieve to remove pulp and seeds.

In a large pitcher, pour in the strained watermelon juice, add the cooled simple syrup and the juice of 2-3 large lemons, then mix in 3 cups of cold water and stir gently.

Cover the pitcher and chill in the refrigerator for at least 30 minutes to enhance flavor.

Serve the chilled watermelon lemonade over ice and garnish with a watermelon wedge if desired.