<create-report-card-form [currentReportCardCount]="providerData.reportCards.length" ...
^^^^^^^^^^^^^^^^^^^^^^^^
In your HomeComponent template, you are trying to bind to an input on the CreateReportCardForm component that doesn't exist.
In CreateReportCardForm, these are your only three inputs:
@Input() public reportCardDataSourcesItems: SelectItem[];
@Input() public reportCardYearItems: SelectItem[];
@Input() errorMessages: Message[];
Add one for currentReportCardCount and you should be good to go.