Lesson 3
Partial Products in Algorithms
Lesson Purpose
Lesson Narrative
In previous lessons, students multiplied threedigit numbers and twodigit numbers, using strategies based on place value and the properties of operations. Students used diagrams to illustrate and explain their partial products calculations.
In this lesson, students move from diagrams to an algorithm that records partial products which they used in an earlier course when multiplying a twodigit number and a twodigit number. Students relate partial product expressions to diagrams and then analyze a systematic way to record partial products. This work sets students up to learn the standard algorithm in the next lesson.
 Action and Expression
 MLR8
Learning Goals
Teacher Facing
 Multiply a threedigit number and a twodigit number.
 Represent a partial products algorithm.
Student Facing
 Let’s find partial products.
Required Materials
Materials to Copy
 Partial Product Expressions
Required Preparation
Activity 1:
 Create a set of cards from the blackline master for each group of 2.
Lesson Timeline
Warmup  10 min 
Activity 1  20 min 
Activity 2  15 min 
Lesson Synthesis  10 min 
Cooldown  5 min 
Teacher Reflection Questions
Suggested Centers
 Number Puzzles: Multiplication and Division (4–5), Stage 1: Twodigit Factors (Supporting)
Print Formatted Materials
For access, consult one of our IM Certified Partners.
Additional Resources
Google Slides  For access, consult one of our IM Certified Partners. 

PowerPoint Slides  For access, consult one of our IM Certified Partners. 