Yes, you should claim all of your worldwide income in order to file a complete and accurate tax return.
Since you do not have a tax form reporting your income, you will need to use your own records or bank statements to know how much income to report. It will go on Schedule C Business Income and Expenses since you were self-employed and provided tutoring services.
See the following TurboTax help article to get started:
How do I report income from self-employment?