EDIT: formating
I am just leaving this mod note here to clarify for our readers that "Zionism - Lie and Truth" is the topic your teacher gave you and you are asking where the lie comes in since you can't find any info on that (as you explained in your first question that got deleted). Otherwise this question will get reported as a loaded question.
I think it is stupid to generalize this in lies and truth or whatever, as I can't make any sense out of it. Zionism is basically equivalent to 19th century nationalism in other countries. The difference is that most jews who were part of the Zionist movement lived pretty far away from it.
Basically what then pushed the acceleration of Jews moving to Palestina was World War 2 and the holocaust. Before the war a lot of jewish people (often illegaly) emigrated to Palestine, there were pretty tight quotas, but there were organizations that tried to circumvent them.
After the holocaust it was just pretty clear to see for everyone that Jews need their own country for protection and solving of the jewish question in Europe. The were decades of questioning what to do with the large jewish minority in Europe, now the answer was pretty obvious for everyone. Move them into a country of their own.
I don't really understand the question. I mean Zionism within ideologically of course has a lot of "lies" (badhistory) as every other nationalist ideology, but the creation of Israel is pretty straight forward.
edit: The biggest lie is probably that Arabs (in the area) are the big victims. It was them who rejected the two-state solution and who were seeking war and removal of jewish migrants. They just lost the war but never accepted the outcome. edit2: This also shouldn't be taken as me taking sides or whatever.