Kristen and I shared similar views on how each of three textbooks she looked at approached factoring. We both agreed that having the repetition-style practice. With something like factoring, having that kind of practice allows students plenty of familiarity with the process.
We also agreed that it was nice that the Core Connections book outlines in detail what teachers need to address, especially as first year teachers. It’s easy to get lost in the details, and the CPM curriculum really aims to have an integrated story, so having a detail teachers guide is very beneficial. We also agreed that it was nice that the Core Connections book had activities that broke up the direct instruction. I think it’s beneficial, not just because factoring is something that students need to work at on their own to gain mastery, but also because it allows for avenues for students to connect and see the meaningful background for a concept like factoring.
We also agreed that the common errors alert was great. It’s easy to forget what those errors are because you have so much experience with the concept, but that isn’t true for students. Knowing where they might make mistakes can help both you and your students, both in terms of being less frustrated by the concept and in ensuring that the students are really understanding what they’re doing.