As we've begun to cover and solidify more facts, we are starting to expand to 2 digit by 1 digit multiplication. Math Coach's Corner is one of my favorite blogs. She is great at moving students from concrete to representational, and finally, abstract understanding of math. I purchased her unit on 2 digit by 1 digit multiplication, it was so detailed, and the student's really seemed to "get it."
Click the picture to learn more and purchase the unit from TPT if you would like!
Along the way, students have been shown different strategies to solve multiplication problems. About half of my students use the standard algorithm, the other half prefer the latis method. All students were given opportunities to learn both of these methods as well as partial products, and as long as they show their work and understand why they are doing what they are doing, I'm perfectly okay with them choosing the method that works best for them.