Lesson 2

Partial Products in Diagrams

Lesson Purpose

The purpose of this lesson is for students to multiply multi-digit whole numbers using strategies based on place value and the properties of operations. 

Lesson Narrative

This lesson builds on the partial products representation students saw in grade 4 to help organize calculations of whole number products. This becomes even more important for the product of a two-digit and three-digit number as the number of partial products is larger, depending on the diagram that is used. Part of the value of the standard algorithm which students will also see in later lessons is that it condenses the calculations and the number of partial products.
  • Engagement
  • MLR8

Learning Goals

Teacher Facing

  • Interpret partial products diagrams.
  • Multiply a three-digit number and a two-digit number.

Student Facing

  • Let's interpret diagrams that can help us find products.

Required Preparation

CCSS Standards


Building Towards

Lesson Timeline

Warm-up 10 min
Activity 1 15 min
Activity 2 20 min
Lesson Synthesis 10 min
Cool-down 5 min

Teacher Reflection Questions

Think about which students haven’t shared their strategies in class lately. Were there missed opportunities to highlight their thinking during recent lessons? How can you take advantage of those opportunities when they arise?

Suggested Centers

  • Number Puzzles: Multiplication and Division (4–5), Stage 1: Two-digit Factors (Supporting)

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