Lesson 11
Partial Products and the Standard Algorithm
Lesson Purpose
Lesson Narrative
In previous lessons, students analyzed and used an algorithm that uses partial products to multiply multidigit whole numbers. They learned that an algorithm can represent the baseten diagrams and rectangular diagrams, but it is more efficient for keeping track of and recording partial products.
This lesson extends students’ analysis to include the standard algorithm for multiplication of multidigit numbers. In grade 4, the standards focus on understanding place value and how it is represented in different methods for finding products. The work here serves to build the groundwork for making sense of the standard algorithm in grade 5, so students are not expected to use the standard algorithm at this time.
 Engagement
 MLR8
Learning Goals
Teacher Facing
 Identify similarities and differences between algorithms that use partialproducts and the standard algorithm for multiplication.
 Make sense of the standard algorithm for multiplication.
Student Facing
 Let’s compare multiplication algorithms.
Required Preparation
CCSS Standards
Addressing
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
 Five in a Row: Multiplication (3–5), Stage 3: Twodigit Factors (Addressing)
 Compare (1–5), Stage 3: Multiply within 100 (Supporting)
Print Formatted Materials
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Additional Resources
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