Routines for Reasoning Recognizing Repetition – Developing Partitioning Concepts (2nd)

Purpose Today we are going to use repetition in our reasoning to generalize a problem situation. We are going to notice how situations are changing and how they are staying the same to help us solve problems. We are going to talk to others to clarify our own thinking about the math problem.

Thinking Goals Think about a problem like a mathematician. Thinking Questions: What is staying the same each time? What is changing each time? What do I think the next example will look like?

1) 2) 3) 4) “I noticed ___________ stayed the same each time.” “I noticed ___________ changed each time.” 2) 3) 4)

1) “We noticed __________, so they thought the next pattern would be…” 2) 5) 3) 4)

Reflection “Looking for what changes and what stays the same in a pattern helps me to…”