In this section, students investigate the quantities in a division situation, recall the relationship between multiplication and division, and revisit ways to represent this relationship.

First, students look at how the numbers in a division situation are related. Students observe—in concrete and abstract situations—how the size of the dividend and the divisor affect the size of the quotient. Next, students...

In this section, students apply their insights about multiplication and division, as well as prior knowledge about area and volume, to solve geometric problems.

Students first solve multiplicative comparison problems in contexts that involve fractional lengths in one dimension. They use their understanding of division to answer questions such as “How many times as tall or as far is this...

In this section, students make sense of division situations involving fractions, gradually building an understanding that can be generalized into an algorithm.

The first two lessons explore “How many groups?” questions in various contexts. Students investigate situations in which the number of groups is a fraction greater than 1 or less than 1. For the latter, it makes sense to...

In this final section, students have the opportunity to apply their thinking from throughout the unit. As this is a short section followed by an End-of-Unit Assessment, there are no section goals or checkpoint questions. All lessons in this section are optional.

In this section, students reason about quotients of multi-digit numbers and work toward the standard algorithm for division.

The section begins with an optional lesson that revisits concepts from grade 5 and reinforces the role of place value in division. Students use base-ten diagrams to represent division and use strategies based on place value and properties of operations to find...