Here’s three simple activites for your toddler group about snow. The two songs use melodies you and the parents will already know. Follow the links to get the chords to play along on guitar.
The Snow
… standing fingerplay activity
The snow is falling down from the sky!
We have to put on our warm hats.
The snow is all over the ground!
Let’s walk very carefully.
Let’s put on our snow shoes.
The cold wind is blowing!
Let’s put on our heavy jackets.
The snow is so thick!
Can you stomp in the snow?
Can you jump in it?
Can you make snowballs and throw them?
Winter is Coming
…to the tune of The Muffin Man
Can you feel the wind blow cold?
The wind blow cold?
The wind blow cold?
Can you feel the wind blow cold?
Winters coming soon.
This is the Way We Dress For Winter
…to the tune of The Mulberry Bush
This is the way we dress for winter,
Dress for winter, dress for winter.
This is the way we dress for winter,
Because it’s cold outside.
We’ll wear pants and jackets today
jackets today, jackets today.
We’ll wear pants and jackets today,
Because it’s cold outside.
Get chords for the above song here.

Another idea for a snow storytime is a Draw and Tell with a shortened version of the song Frosty the Snowman. Everyone sings together as you illustrate the song. I’m not a great artist, so I just do a simple snowman (with all his accessories) then clap out the “thumpity-thump” part.
Frosty the Snowman
Was a jolly happy soul
With a corncob pipe and a button nose
And two eyes made out of coal
Frosty the Snowman
Is a fairytale they say
He was made of snow
But the children know
How he came to life one day
There must have been some magic
In that old silk hat they found
For when they placed it on his head
He began to dance around
Thumpety thump thump
Thumpety thump thump
Look at Frosty go
Thumpety thump thump
Thumpety thump thump
Over the hills of snow