There are 100 multiplication facts students are expected to know, from 0X0 to 9X9. These are developed over grades 3 and 4, so full automaticity isn’t expected yet for all the facts. To this we typically add the 10X facts, which are technically double digit multiplication.
Research suggests that sheer memorization is less useful than using an understanding of numbers to help learn the facts. A variety of strategies are used to support memorization. These strategies also help with various number relationships in later years. Most of the strategies rely on derived fact strategies, which have students use a fact or skills they already know to help find the unknown fact.
The menu on the right leads to a variety of strategies.