"worry" and "be worried"

Thank you always for your information and help.
I have a question.

What would be the difference between "begin to worry" and " begin to be worried"?

Personally I tend to say "I began to worry" instead of "I began to be worried".
I would say "I'm worried" instead of "I worry".

Google search yields 45400 instances of "begin or began to worry" while only 462 hits are found for "begin or began to be worried".

But there are 86800 instances of "she or he worries" and 44300 examples of "she or he is worried".

How am I supposed to account for this for EFL students?

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