Operations Enduring Freedom and Operation Iraqi Freedom are some of the most recognizable campaigns as they have to do with the Iraq and a Afghanistan conflicts.<Owens, John, Charles, 2008)>
Battle: this describes a subset of a campaign that will have specific military goals and geographic objectives, as well as clearly defined use of forces, such as the Battle of Gallipoli, which operationally was a combined arms operation originally known as the "Dardanelles landings" as part of the Dardanelles Campaign, where about 480,000 Allied troops took part. Engagement: this describes a tactical combat event or contest for a specific area or objective by actions of distinct units. For example, the Battle of Kursk, also known from its German designation as Operation Citadel, included many separate engagements, several of which were combined into the Battle of Prokhorovka. The Battle of Kursk, in addition to describing the initial German offensive operation, also included two Soviet counter-offensive operations: Operation Kutuzov and Operation Polkovodets Rumyantsev. Strike: this describes a single attack, upon a specified target. This often forms part of a broader engagement. Strikes have an explicit goal, such as rendering facilities such as airports inoperable, assassinating enemy leaders, or limiting the delivery of supplies to enemy troops. Definition
Parallel to and reflecting this framework for operations are organized elements within the armed forces which prepare for and conduct operations at various levels of war.
While there is a general correlation between the size of units, the area within which they operate, and the scope of mission they perform, the correlation is not absolute. In fact, it is ultimately the mission that a unit performs that determines the level of war within which it operates. Operational level of war
The operational level of war occupies roughly the middle ground between the campaigns strategic focus and the tactics of an engagement. It describes "a distinct intermediate level of war between military strategy, governing war in general, and tactics, involving individual battles". For example, during World War II, the concept applied to use of Soviet Tank Armies. See also
Civil-military operations
Effects-Based Operations (EBO)
List of military operations
List of coalition military operations of the Iraq War
List of World War II military operations
Military operation plan
Military operations other than war (MOOTW)
Offensive (military)
Operational View (OV)

Notes
References
Armstrong, Richard N. Red Army Tank Commanders: The Armored Guards. Atglen, Penn. : Schiffer Military History, 1994. ISBN 0-88740-581-9. Glantz, David M. Soviet Military Operational Art: In Pursuit of Deep Battle. London: Frank Cass, 1991. ISBN 0-7146-3362-3, ISBN 0-7146-4077-8.