-CH3 IS a one carbon group.
In order to "activate" the CH3-THF we get from our diet we must take its methyl group off (-CH3). We do this by giving the methyl group to Homocysteine (via Homocysteine methyltransferase aka Methionine synthase) but this happens ONLY if B12 is present (B12 is a cofactor for the enz and B12 transfers the methyl group as methylcobalamin). Once Homocysteine gets methylated, it becomes Methionine.
Now we have to regenerate Homocysteine, so we can "activate" some more folate. In order to do this Methionine has to give the methyl group to someone else, that's when SAM comes in. SAM takes the methyl group from Methionine, so Methionine can become Homocystine and start this process over.
I like to think of the -CH3 group as a Hot Potato.