Rudolph's song was performed at the school

https://www.youtube.com/watch?v=hega-GxyW6o

A song that shows us how much information we can learn.

The famous Christmas song Rudolph the Red-Nosed Reindeer started life as a poem created by an American advertising executive called Robert May. He was requested to produce a poem that could be given away to children by the Santa Claus employed by Department Stores at Christmas! Working as an Advertising Executive Robert May had a natural flair with words and was able to compose the Rudolph the red-nosed reindeer poem which was specifically designed to appeal to children. It was commissioned by the Montgomery Ward department store who up to this time purchased third party colouring books to give away at Christmas, this idea was conceived as a cheaper "in-house" option!

You know Dasher, and Dancer, and

Prancer, and Vixen,
Comet, and Cupid, and
Donder and Blitzen

These are the names of the fictional reindeer that helps Santa Claus power his magical flying sleigh to deliver presents to all the children of the world. 

But do you recall

The most famous reindeer of all

This indicates that Rudolph is very famous.

Rudolph, the red-nosed reindeer

This is the name of the reindeer in question.

had a very shiny nose

His nose would glow from time to time, giving it a “shiny” appearance.

and if you ever saw it

you would even say it glows.

This assures the listener/reader that his nose glows like a flashlight, another common household object used to provide an untethered, portable light source.

All of the other reindeer

used to laugh and call him names

This is a reference to the previously mentioned reindeer. They would laugh and call him names, and that made him sad. The writer made a reference to Pinocchio, a common household legend about a wooden doll whose nose would grow everytime he told a lie.

They never let poor Rudolph
play in any reindeer games.
Then one foggy Christmas eve
Santa came to say:
"Rudolph with your nose so bright,
won't you guide my sleigh tonight?"

Then all the reindeer loved him
as they shouted out with glee,
Rudolph the red-nosed reindeer,
you'll go down in history!