In a large skillet over medium heat, cook the bacon until crispy. Remove from the skillet and drain on paper towels. Set aside.
In a bowl, beat the eggs with salt and black pepper to taste.
In the same skillet used for bacon, over medium-low heat, pour in the beaten eggs and cheese, cook stirring gently with a spatula, until eggs are scrambled and just set. Remove from heat.
Portion the eggs and bacon onto the wrap.
Fold in the sides and then roll them up tightly. Cut in half.