Lesson 4
Standard Algorithm: One-digit and Multi-digit Numbers with Composing
Lesson Purpose
The purpose of this lesson is for students to use the standard algorithm to multiply up to five-digit numbers and one-digit numbers.
Lesson Narrative
In grade 4, students interpreted the standard algorithm for multiplication and compared it to a partial products algorithm to multiply up to four-digit numbers and one-digit numbers. In this lesson, students extend their understanding of the standard algorithm to multiply up to five-digit numbers and one-digit numbers, including problems where one or more new units are composed. This is the first in a series of lessons to support students in developing fluency using the standard algorithm to multiply multi-digit numbers.
- Representation
Learning Goals
Teacher Facing
- Use the standard algorithm to multiply up to five-digit numbers by one-digit factors, including composing new units.
Student Facing
- Let’s use the standard algorithm to multiply one-digit numbers and multi-digit numbers.
Required Preparation
CCSS Standards
Addressing
Lesson Timeline
| Warm-up | 10 min |
| Activity 1 | 20 min |
| Activity 2 | 15 min |
| Lesson Synthesis | 10 min |
| Cool-down | 5 min |
Teacher Reflection Questions
What evidence do you see that your students are applying what they learned about partial products to make sense of the standard algorithm?
Suggested Centers
- Number Puzzles: Multiplication and Division (4–5), Stage 2: Multi-digit Factors (Addressing)