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What else do I need in order to successfully teach this program? Flashcards, specific manipulatives? Does primary mathematics have children memorize math facts?

Thanks

If you are using Level 1 with Beyond, there are activities in the guide. The activities user standard household items and food. So all you need are the workbooks.
If you are using it without the Beyond guide, you would want the textbook at least, if not the home instructors guide.
As for math facts, there are many ways to work on them. We have found Xtramath, a free weekend program that is also available as an app at a nominal price, to be very effective.