What is the difference between construction schedule and construction plan?

Construction planning is the process of gathering all the information required to start and complete a certain project. It means reading all the tender documents, contract, scope of works, BOQ and drawings and defining the logic, the constraints, the production rates and resources required (including risks) in order to achieved the end date on time. 

Construction scheduling is the process of determining the sequential order of activities, assigning planned duration and determining the start and finish dates of each activity.  

Planning is a prerequisite to scheduling because there is no way to determine the sequence until they are defined. Sometimes, they become synonymous because they are performed interactively.