"All Management is Project Management"
Quite a sweeping statement to make!
If we breakdown the basics of Project Management then it may not seem quite so irregular.
The Project Idea simplified is the outcome you want to achieve. If delegating to someone we have an outcome. If we are engaging in a performance management dialogue, we have an outcome. If we are holding a team meeting, we have an outcome.
The Plan and Design aspect of the process is the consideration of the best method or approach. If you are intending to have a discussion about anothers performance, we are (hopefully) giving consideration to the most appropriate opening to the conversation, the best way to engage the other person to self reflect and feedback etc
The Action part of the process is as it suggests. What we do to meet the outcome based on the plan and consideration we gave to the previous section.
Monitoring is when we are following up on the actions of others or recognsiing the progress we have made towards the outcome we established at the beginning of the process. It the chance to make adjustments to our original plan if that plan to get to the outcome is not succeeding. Your original method of delegating may not have motivated another sufficiently, so the monitoring would identify this and enable a chance to re-engage.
We'd be interested to hear if you agree.