Lesson 7
Multiply Three- and Four-digit Numbers by One-digit Numbers
Lesson Purpose
Lesson Narrative
In the previous lesson, students represented multiplication using base-ten diagrams and rectangular diagrams, and used place value reasoning to multiply two-digit numbers by one-digit numbers. In this lesson, they use rectangular diagrams and expressions to multiply up to four-digit numbers by one-digit numbers. They continue to use place value reasoning to decompose the multi-digit factor and to use partial products in their computation.
Students should have multiple opportunities to hear the term “partial products” as referring to the results of multiplying a part of one factor and the other factor (or a part of one factor and a part of the other factor).
- Representation
- MLR2
Learning Goals
Teacher Facing
- Multiply three- and four-digit numbers using place value understanding and properties of operations.
Student Facing
- Let’s multiply three- and four-digit numbers by one-digit numbers.
Required Preparation
CCSS Standards
Addressing
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
Suggested Centers
- Number Puzzles: Multiplication and Division (4–5), Stage 1: Two-digit Factors (Addressing)
- Compare (1–5), Stage 3: Multiply within 100 (Supporting)