This summary is not the rule. The rule text controls.
Instead of getting a document notarized, you can sign a written statement declaring that what you wrote is true, under penalty of perjury. This is allowed anytime a juvenile court rule says you need to swear to something in writing or make a sworn statement.
The specific way to do this comes from Idaho Code § 9-1406. That law lets you use a simple written declaration instead of going through the formal process of having a notary witness your oath. It saves time and makes it easier to file sworn statements with the court, but you're still legally responsible for telling the truth, just as if you had taken a formal oath in front of a notary.