BaMidbar (Numbers) 4:21

1st Aliyah

HaShem spoke to Moshe, saying: "Take a census of the sons of Gershon, as well, according to their fathers' household, according to their families. From thirty years of age and up, until fifty years of age shall you count them, everyone who comes to join the legion to perform work in the Tent of Meeting."
The Torah teaches us that in the previous Portion (BaMidbar) HaShem had instructed Moshe to count the descendants of Kohath before before the descendants of Gershon, notwithstanding that Gershon was the first-born. This was because the Kohathites were the ones in charge with transporting the Holy Ark and the vessels possessing the highest degree of sanctity. In "Naso" HaShem tells Moshe, "Just as you counted the Kohathites for the purpose of identifying those who fit for the ministry, count the Gershonites and see who among them is suitable for this service."

BaMidbar (Numbers) 4:38

2nd Aliyah

The counting of the sons of Gershon according to their families, and according to their fathers' household; from thirty years of age and up, until fifty years of age, everyone who comes to join the legion to perform work in the Tent of Meeting.

The Torah teaches us that the Gershonites numbered 2630 men while corresponding number of Merarites was 3200, with a total combined for all three families was 8580. The Levites were not only assigned to the transporting of the Tabernacle, some played instruments and sang when sacrifices were offered. While other Levites served as watchmen and gatekeepers.

BaMidbar (Numbers) 5:1

3rd Aliyah

HaShem spoke to Moshe, saying, "Command the Children of Yisra'el that they shall expel from the camp everyone with tzaraas, everyone who has had a zav-emission, and everyone contaminated by a human corpse.

The Torah teaches us that the commandment to isolate all those who became ritually defiled (tzaraas) was to keep the camps where the Divine Presence dwelled spiritually clean.  The Israelites realized that HaShem had set aside a particular site for the Camp of the Divine Presence, another site for the Levite Camp, around the Camp of the Divine Presence, and another site for the Israelites, father away, it appeared as if the Divine Presence was restricted to the Camp of the Divine Presence and the Camp of the Levites which was near it, but was absent from the Camp of the Israelites. Since this inference would have distressed them, HaShem spoke to Moshe, "Where I dwell among them, they are not to defile their camps.  If you desire clear proof that My Presence dwells within all three camps, behold My command to safeguard diligently the sanctity of the three camps, by not defiling them."

BaMidbar (Numbers) 5:11

4th Aliyah

HaShem spoke to Moshe, saying, Speak to the Children of Yisra'el and say to them: "Any man whose wife shall go astray and commit adultery and being false to her husband. A man may have lain with her carnally, keeping it hidden from her husband, and they may have acted secretly so that there could be no witness against the woman; the woman not raped.

The Torah teaches us that the law of "sotah" apply to a women who is suspected by her husband for an act of adultery.  According to the Sages, three kinds of sinners descend to hell and never emerge: one who engages in carnal relation with another man's wife; one who shames another in public; one who refers to another by a nickname, even if the person named does not mind and is not embarrassed by it.

BaMidbar (Numbers) 7:1

5th Aliyah

It was on the day that Moshe finished erecting the Tabernacle that he anointed it, sanctified it and all its utensils, and the Altar and all its utensils, and he had anointed and sanctified them.

The Torah teaches us that the Tabernacle was actually completed on the twenty-third of Adar, which is seven days before Rosh Chodesh Nissan, those days are not counted.  The reason is that on every one of those seven Days of Completion, (Dedication), Moshe assembled the Tabernacle himself, offer the Completion sacrifices, and in the evening disassemble it again. It was not until the eighth day, the first of Nissan, that he assembled it and no longer took it apart.

BaMidbar (Numbers) 7:42

6th Aliyah

On the sixth day, the leader of the children of Gad, Eliasaph son of Deuel.

The Torah teaches us that in bringing his offering, this tribal leader focused on the Exodus from Mitzrayim.  Gad had been blessed by his father, saying "Raiders shall raid Gad, but he will raid at their heels."  In other words, armed troops of this tribe will cross Jordan ahead of their brethren, and after waging war against the Canaanites, will return home with many spoils.

BaMidbar (Numbers) 7:72

7th Aliyah

On the eleventh day, the leader of the children of Asher, Pagiel son of Ochran.

The Torah teaches us that on the eleventh day, the leader of the tribe of Asher presented an offering that was identical to the ones brought by the tribal leaders before him.  Accordingly, in presenting his offering, the leader of Asher allude to the chosen of the Jewish people which the term ashrei of this verse acclaims.

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