In previous lessons, students compared different strategies to divide multi-digit numbers and learned to use a partial-quotients algorithm for division. In this lesson, they refine strategies for using a partial-quotients algorithm. In the first activity, students compare their strategies, giving them an opportunity both to explain why they chose their partial quotients and to see that different choices are possible. In the second activity, students begin by estimating the value of the quotient and then use the estimate to help guide the partial-quotient choices in the algorithm.

Reflect on who participated in math class today. What assumptions are you making about those who did not participate? How can you leverage each student’s ideas to support them in being seen and heard in tomorrow’s math class?