In a large mixing bowl, combine 1½ cups of all-purpose flour, 3½ teaspoons of baking powder, 1 tablespoon of sugar, and ½ teaspoon of salt. Use a whisk to blend these ingredients together until they are well incorporated.

In a separate bowl, whisk together 1¼ cups of milk, 1 large egg, and 3 tablespoons of melted butter. Mix until the ingredients come together smoothly.

Pour the wet ingredients into the dry mixture. Gently fold the ingredients together using a spatula, mixing just until combined.

Heat a non-stick skillet or griddle over medium heat, allowing it to warm for about 5 minutes. Add a small pat of butter to the pan.

Pour approximately ¼ cup of batter for each pancake onto the skillet. Cook until bubbles form on the surface, about 2 minutes, then flip and cook for another 1-2 minutes until golden brown.

Transfer cooked pancakes to a plate and cover loosely with aluminum foil to keep warm while finishing the batch.