# Lesson 7

Multiply Three- and Four-digit Numbers by One-digit Numbers

### Lesson Purpose

The purpose of this lesson is for students to multiply a whole number of up to four digits by a one-digit number by decomposing factors by place value, finding partial products, and using properties of operations.

### 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.

### 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

How can you leverage each of your student’s ideas to support them in being seen and heard in tomorrow’s math class?

### Suggested Centers

• Number Puzzles: Multiplication and Division (4–5), Stage 1: Two-digit Factors (Addressing)
• Compare (1–5), Stage 3: Multiply within 100 (Supporting)

### Print Formatted Materials

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