"school magazine" is a perfectly valid phrase used in written English.
Here's an example sentence: My favorite article in last month's school magazine was about the importance of good nutrition.
It is also starting a school magazine, "Nature & Science".
Meanwhile there's a school magazine to edit, Troubador.
But I'd been the editor of my school magazine.
"I was writing for the school magazine and I was a big shot".
A poem I wrote when I was twelve appeared in a school magazine.
Enrolling at Yale in 1935, he also wrote stories for its school magazine and yearned for a literary life.
I still have a copy of the poem; my mother kept the school magazine in which it appeared.
His first short stories were published in the school magazine, the Grotonian, of which he became editor.
It appeared in the medical school magazine: "Bruce's genetic theory of diarrhoea (4,2,3)".
_ A poem I wrote when I was twelve appeared in a school magazine.
My poems in the school magazine were often influenced by Miss Kay's lessons on relativity.
