Muddle the strawberries: In a large pitcher, muddle the halved strawberries with a muddler or the back of a spoon until they release their juices.
Make the simple syrup: In a small saucepan over medium heat, combine sugar and 1 cup of water. Stir until the sugar dissolves completely, creating a simple syrup. Remove from heat and let cool slightly.
Combine everything: Pour the cooled simple syrup, lemon juice, and remaining 4 cups of water into the pitcher with the muddled strawberries. Stir well to combine.
Strain (optional): If you prefer a smoother lemonade, strain the mixture through a fine-mesh sieve to remove any strawberry seeds.
Chill and serve: Add ice cubes to the pitcher and refrigerate for at least 30 minutes to allow the flavors to meld.
Serve and enjoy! Garnish with sliced strawberries and lemon wedges for an extra touch of summer flair.