For everyone involved in this thread, great job! You're doing a great job of leading the OP towards the answer Grafter, and rayan is picking up on the proper answers as she's going along. This is what I like to see.
So rayan, take a look at the periodic table and compare the observations you have made to the location of those elements on the periodic table. For the elements that have reacted the quickest, what common trait to they seem to have? Remember that a chemical reaction involves the movement of electrons. So if something doesn't want to get rid of its electrons, it's not going to react as quickly.
Where is lithium on the periodic table?
How many electrons does lithium have?
How many electrons does it need to give up in order to have a full outer shell? (By full outer shell, I mean how many electrons must it lose in order to have the same number of electrons as the noble gas that precedes it? In this case it would be helium).
That electron(s) that it needs to give up; how far away from the positively charged nucleus is it/are they?
So how tightly is the nucleus holding onto that electron(s) compared to say potassium or rubidium?
Since reactions involve the movement of electrons from one substance to another, why did you see that potassium and sodium reacted with water faster than lithium did?
With calcium, where is calcium on the periodic table? (I.E. what column?)
Based on its position, how many electrons do you think it has to give up in order to have a full outer shell?
What do you think would be easier, removing one electron from something or removing two electrons?
Since chemical reactions involved the movement (transfer is probably a better word) of electrons, how do you think the group two metals would react with water in relation to the group 1 metals? Would it be faster, slower, or the same?