Parshat B'reishit
Aliya-by-Aliya Sedra Summary
Numbers in [square brackets] are the Mitzva-Count from Sefer HaChinuch.

Kohen - First Aliya - 34 p'sukim - 1:1-2:3
This Aliya contains the first account of Creation.

The Baal HaTurim points out that the G'matriya of B'REISHIT BARA is 1116, as is the numeric value of the phrase: B'ROSH HASHANA NIV'RA - on R.H. it (the world) was created. If we could prove things with G'matriyas, then... But as is, the dispute as to when the world was created stands. 

The First Rashi for Us
Rashi quotes Rabbi Yitzchak who explains why the Torah begins with B'REISHIT and not with the mitzvot and halachic texts in Parshat BO. He says that if the nations of the world will accuse us of stealing the Land of Israel from others who have occupied it through the generations, or from those who claim that there is nothing Jewish in the archaeological finds of the Temple Mount, we will be able to point to the events in the historical portions of the Torah and see that G-d takes land from whom He chooses and gives it to whom He chooses.

But what happens if the nations of the world do not accept the lessons of the Torah? Let's say that they reject the point that Rashi makes. Their problem. We have confidence in the prophecies of the time when the nations will recognize the G-d of Israel and accept our role in this world and our relationship with Him. Maybe we cannot expect Rashi to impress most of the non-Jews of the world. At least, not yet.

We are the ones who need to see in the Torah that G-d is in control. This goes for Jews who feel that we are usurpers here, and this goes for proud Jews who feel that they have accomplished everything here without the help of G-d and without His okay. Whether the Arabs and other people accept what we claim from the Torah is one thing. Do we, the Jewish People, really believe that this Land is ours? 

It is. And we should not be squeamish about asserting our possession of Eretz Yisrael. 

The lesson of the famous first Rashi is for us. The Torah is not just a book of mitzvot and laws. It tells us other things. Hebron belongs to the Jewish People because Avraham Avinu bought it and passed its title to Yitzckak. It does not matter how many Arabs live there and how many Jews do or don't live there. Hebron is ours, Jerusalem is ours. Eretz Yisrael is ours. We do not have to apologize for it. We should seek out ways of living peacefully with our neighbors, how to deal fairly and safely with the Arabs who live among us. G-d has repeated the promises to the Avot so many times in the Torah, that we should have no doubts as to whose claim is legitimate.

Sadly, the protesters in Paris Square and their ilk, don't seem to get the point. But there are probably many points from the Torah that they don't get.
Let us not forget the deal that goes along with the Land. We have to continuously "pay our rent" to the Landlord, in the form of faithfulness, keeping of the mitzvot, learning and living Torah. This is our commitment to G-d, our deal with Him. Let us hope that more and more Jews will make a stronger commitment to Torah and to Eretz Yisrael.

Two-Phase Creation
Here again, is one of the main views about the two essential phases of Creation. There are other ways to understand the opening p'sukim of the Torah; this is but one...

The first two p'sukim describe the totally, exclusively Divine aspect of Creation of Something from Nothing — YEISH MEI'AYIN. Before B'reishit, perhaps nothing existed — except G-d. With the Divine Command of B'reishit, everything that now exists came into existence for the first time. All matter, all energy, thoughts, concepts, time — everything. According to this point of view, SHAMAYIM and ARETZ mean everything in the universe. 

The first form that all of Creation had was TOHU VAVOHU, chaos. That's the second pasuk. And — this stage of Creation occurred BEFORE day 1 of Creation. Not on the first day - before the first day. And not a day before, not an instant before nor and eon before. It is pointless speculation to attempt to give a time-frame for the first two p'sukim, because TIME has meaning only in the context of the ordered world that began to take shape on Day 1. No wonder we are not supposed to concern ourselves with what had happened before the world was created!

And then came Day 1,2,3,4,5,6. And what happened on those days? G-d put everything in order, distinguished one thing from another. It was creation of Something from Something. YEISH MI'YEISH. Forming, shaping. The kind of Creation that we emulate in our lives.

And how long was one of these days of Creation? Maybe they each were a thousand years long. Or maybe they each were 24 hours long. Either that Torah talks "our language" or not. Take your pick. Either answer fits one of our angles. 

Shabbat B'reishit is a time of rediscovery and re-creation. just like on Shavuot we read the events of Matan Torah and we try to put ourselves into the events, to make them fresh, as if today the Torah was given, so too should we enthusiastically read and hear the description of Creation and put ourselves into the position of discovering G-d through the world and nature that He brought into existence for us. Don't just see things as "once upon a time..." — get excited!

Levi - Second Aliya - 16 p'sukim - 2:4-19
Next we have a restatement of Creation, focusing on Gan Eden, the formation of Adam, Adam's dominance over Nature, and his first prohibition - eating from the Tree of Knowledge of Good & Evil.

"It is not good that man shall be alone" is explained in different ways, including that only G-d is singular. Man needs to know that as great as he can become, as much as he can accomplish, he is not a god.

All creatures were brought before Adam as "candidates" for partner-to-Adam. None was suitable, but Adam named them all (as people have done throughout the ages).

In the first account of Creation, Man was the final act of Creation, but not so much the purpose and focus of creation. In this second account, Man seems to be the focus of creation. We have to see things both ways.

Shlishi - Third Aliya - 27 p'sukim - 2:20-3:21
The Torah's wording implies that Adam was first created as a combined male-female being, then (still on Day Six) he was physically separated as Adam and Chava, with the command and challenge of recombining spiritually, emotionally, and physically - "and they shall become one flesh".

Next the Torah tells us cryptically of the episodes of the Serpent's enticement of Chava, the eating from the Tree, the punishments for the Serpent, Chava, and finally, Adam.

The sin(s) of Adam and Chava are not just personal sins, but more importantly, they help us define and understand (a little) human nature.

R'vi'i - Fourth Aliya - 21 p'sukim - 3:22-4:18
This Aliya begins with the expulsion from Gan Eden, which is also seen as a metaphor for a re-definition of the role of humans in this world and of their (our) relationship with G-d.

The Torah continues with the "births" of Kayin and Hevel and Kayin's killing of Hevel following the attempt of each to make an offering before G-d.

Kayin's punishment and fate is presented, as is his lineage. 
It is possible that Kayin sired different species of humanoids. This is how some want to explain the evidence of the existence of pre-historic man. Kayin's whole line was destroyed in the Flood. (Almost, that is. Naama, who descended from Kayin, was No'ach's wife, the mother of us all.)

Chamishi - Fifth Aliya - 8 p'sukim - 4:19-26
This portion contains the story of Lemech, the great-great-great-grandson of Kayin and his accidental killer. Lemech's two wives were Ada and Tzila.
The Torah mentions more descendants of Kayin and their roles as the "firsts" in various fields of human activity.

This portion also contains Lemech's lament for having killed Kayin.
Noteworthy among the descendants of Kayin that are mentioned by the Torah is the sister of Tuval-Kayin, Na'ama. Rashi (quoting B'reishit Rabba) says that she was the wife of No'ach. What is significant about that is that Kayin's line was not completely severed by the Flood. Although we refer to all of mankind as Bnei No'ach, who descended from Adam through Sheit, on the mother's side there is Na'ama and before her, Kayin.

By the way, in case your Chumash does not have the same Aliya breakdown as is presented here, don't worry. There are different opinions.

Shishi - Sixth Aliya - 24 p'sukim - 5:1-24
The lineage from Adam through Sheit (Seth) to No'ach (into the next Aliya) is set down, with the age of the father at the birth of the son, and each person's age at his death. These numbers help us construct the first part of our timeline. Although many sons and daughters are born to this list of patriarchs of the world, only one representative of each generation is named. Some say that only the named individual had the longevity that is recorded; the "average man and woman in the street" lived much shorter lives. Others say that the lifespan of the human was generally much longer before the Flood.

Shishi concludes with mention of Chanoch, who was taken from this world (possibly not by death) at the relatively young age of 365.

Sh'vi'i - Seventh Aliya - 16 p'sukim - 5:25-6:8
Metushelach lived to 969 years, the oldest age recorded in the Tanach. According to Tradition, he died immediately prior to the Flood, which was held up for 7 days of mourning. The generations continue to be counted until No'ach appears on the scene. The Torah describes the deterioration of society and G-d's "regret" for having created Man. No'ach alone found favor in G-d's eyes.

Haftara - 31 p'sukim -Yeshayahu 42:5-43:10
The Haftara opens with a description of G-d as the Creator of the Heavens and the Earth, as does, of course, the sedra. 

G-d's role as Creator is repeated throughout the Haftara. And, as Rabbi Jacobs points out, the different terms of creativity are used in both the sedra and the Haftara.

Rabbi Jacobs also points to the song of Lemech as being the first recorded song of mankind. The Haftara too speaks of a song in the future, that all of mankind will join in its singing.

A deeper connection between sedra and Haftara is seen in the deterioration of the people brought about by sin. In the case of the sedra.
Rabbi Jacobs tells us that R. Shimshon R. Hirsch notes that in the sedra, the description of Creation is in the past tense - B'reishit BARA, created. But in the Navi, G-d is called the "continuing Creator", BOREI HASHAMAYIM... This wording describes well our belief that G-d is always involved in the continued maintenance of the world - "He Who renews the work of Creation with His goodness, every day".