This can be easily explained with an example...
You are really good in maths...and you teacher wants you to score 100 in you exam...
Then you can say that "Your maths teacher EXPECTS you to score 100 in exam".
This word relates a lot when a person desperately want something to happen.
1. I expect to get an increment of 25% by the end of this year
2. My parents have high expectation from me.