How does the life cycle of a praying mantis differ from the life cycle of a beetle?

A praying mantis life cycle does not include the pupa stage. The adult female praying mantis lays 100 to 400 eggs after fertilization. The eggs are laid safely on a firm leaf or stem with a liquid that hardens to be a protective sac structure known as ootheca. The ootheca is a protective casing (very hard and able to survive extreme weather changes) in which the eggs will stay throughout the winter. In mid-spring when the temperatures are warm, the nymphs will hatch when the egg cases crack.