Just constrain the time dimension to the appropriate previous time interval. But dimension-table data requires more thought. Dimensions don't change in predictable ways. Individual customers and products evolve slowly and episodically. Some of the changes are true physical changes.
Customers change their addresses because they move.
A product is manufactured with different packaging. Other changes are actually corrections of mistakes in the data. And finally, some changes are changes in how we label a product or customer and are more a matter of opinion than physical reality. Over the last decade, data warehouse designers have sorted out three major approaches to SCDs. We call these Type 1, Type 2, and Type 3.