As a dual status taxpayer, you only need to report US source income on Form 1040-NR and worldwide income on your Form 1040. Yes, each part of the income should be less than the total actual annual income.
Nonresident aliens are generally subject to U.S. income tax only on their U.S. source income. They are subject to two different tax rates, one for effectively connected income, and one for fixed or determinable, annual, or periodic (FDAP) income.
Effectively connected income (ECI) is earned in the U.S. from the operation of a business in the U.S. or is personal service income earned in the U.S. (such as wages or self-employment income). It is taxed for a nonresident at the same graduated rates as for a U.S. person.
FDAP income is passive income such as interest, dividends, rents or royalties. This income is taxed at a flat 30% rate, unless a tax treaty specifies a lower rate. To learn more, click here: Form 1040-NR
For your resident portion, review Form 1040 instructions here:
https://www.irs.gov/pub/irs-pdf/i1040gi.pdf ( Page 107 )
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