The Awards Mapping in Importacular links to the section of the same name on the Volunteer tab of the Constituent record.

Below, you can see a sample of the Awards Mapping area.

Be sure to review the area settings for the Award mapping to ensure that you handle matched data correctly. You can opt to match by just the name of the Award or by the name of the Award and the date. Then, you will need to determine if you want to add the record even if it matches, just update the existing record or ignore the incoming data.