Take the Torah, Or Else... (Jethro)

Jews did not have much choice when offered the Torah. God told them that if they did not accept it, He would destroy the world and turn it back to void. 

To make the offer actionable, God formulated it as such: "And it was on the third day" (בהית הבקר ויהי). The first letters of these three words spell bohu (בהו) - which implies destruction.

(Incidentally, other nations were also offered the Torah but refused it as not fitting their nature.)

Art: Moses with the Tablets by Guido Reni

Travel to Israel for burial (Beshalach)

Moses took Joseph's remains with him from Egypt to Israel. That was not easy. Egyptians buried Joseph in a metal coffin in the river Nile. However, Moses came to this place and said, "Ox, come up!" And Joseph's coffin floated up. 

Earlier, when Joseph told Egyptians to get circumcised, he also converted them. Moses cared for them and took them out of Egypt. These were the "mixed multitude" who went together with the Jews out of Egypt. Since Joseph started their conversion process, he now merited to see the mitzvah to the end.

Even though the mixed multiple caused multiple troubles to the Jewish people, they nevertheless represent the purpose for which the Jews ended up in the dispersion - to collect these souls and bring them back.

Art: The Water of the Nile by Frederick Goodall

Finger of God (Vayera)

When Moses turned the dust into lice, the Egyptian magicians could not repeat this feat. Until now, they could duplicate the plagues, what with the snakes and blood, but lice were out of their reach. They said in explanation, "This is the finger of God."

It is well known that magicians were operating through demons. Since demons cannot control objects smaller than a barleycorn, they could not reproduce this feat. However, what led them to believe that God was involved and not, say, Moses's magic?

The answer lies in the name of God, אלהים. The possible permutations of the letters of God's name number 120. Like this:

אלהים

אלהמי

אלמיה

אלמהי

...

Since the first letter can be one of 5, the following letter one of 4, and so on, you end up with 5*4*3*2*1=120 permutations. The Gematria (numerical value) of "lice" (כנים) is 120. That is how the magicians knew.

Pharaoh's death also came through this. Even evil people are sustained by God, albeit unwillingly. Pharaoh's sustenance came from the last two letters of God's name. Pharaoh was drowned in the Red Sea (ים סופ). The Red Sea combined the last two letters of God's name (ים) with the word (סוף), meaning "end."

Art: Pharaoh and His Army Drowning in the Red Sea by David Colijns