Lesson 10
Concepts of Division (optional)
Lesson Purpose
The purpose of this lesson is for students to reason about the size of a quotient and consider the relationships between the dividend, divisor, and quotient.
Lesson Narrative
In this optional lesson, students revisit whole number division considering the relationship between dividend, divisor, and quotient. This lesson attends to concepts of division developed since grade 3. Students examine the relationship between the numbers in division problems and compare the size of the quotient by reasoning about the relative sizes of the divisor and dividend. This prepares them to make sense of division involving whole numbers and unit fractions in subsequent lessons.
- Representation
Learning Goals
Teacher Facing
- Reason about the size of quotients in division problems.
Student Facing
- Let’s think about the size of quotients.
Required Materials
Materials to Gather
Required Preparation
Lesson Timeline
| Warm-up | 10 min |
| Activity 1 | 20 min |
| Activity 2 | 15 min |
| Lesson Synthesis | 10 min |
| Cool-down | 5 min |
Teacher Reflection Questions
What did you see or hear in your students’ responses today that showed evidence of their understandings of division? How will you leverage this understanding in the rest of this section?
Suggested Centers
- Rolling for Fractions (3–5), Stage 4: Multiply Fractions (Addressing)
- Compare (1–5), Stage 4: Divide within 100 (Supporting)
- How Close? (1–5), Stage 7: Multiply Fractions and Whole Numbers to 5 (Supporting)