Category: Standards for Mathematical Practice

“Prove the following conjecture: The sum of any 3 positive consecutive odd integers will be divisible by 3.”

First, I just love the question. Second: theorize! What happened to this student? What are some good signs in the student’s work?

Thanks to Bree for the submission.

Also: I categorized this under “Standards for Mathematical Practice.” Does anyone have another CCSS standard that fits this problem and work?

This one is fun. It comes from a lesson on problem-solving strategies where the focus was on sniffing around for patterns.

This is a great snapshot of student thinking. Here are some questions to start thinking about:

Is it a mistake?
Let’s say you want students to focus on a different pattern. How might you modify the problem?
What general lessons about teaching can you glean from this student work?

When you’re done here, go check out this post.