This document describes a strategy for teaching 4th grade students how to multiply 2-4 digit numbers by 1 digit numbers using place value disks. The strategy involves decomposing the numbers, creating a place value chart, representing the problem with disks, and showing multiplication by arranging the disks and writing the numbers. Students can build their understanding of place value and regrouping by using the disks to model standard multiplication algorithms. While time-consuming, this approach helps students comprehend the steps in the standard written algorithm.

1. 4th Grade Multiplication
Strategy
Using place value disks to represent multiplying 2 - 4 digit numbers
by 1 digit numbers and to explain the standard algorithm.

2. Step 1 - Decompose the number being multiplied

3. Step 2 - Create a Place Value Chart

4. Step 3 - Represent the problem with place value disks

5. Step 4 - Represent multiplication with disks and
numbers

6. Here’s How it works for a bigger number

7. Now let’s try one with regrouping

8. And more regrouping

9. In Conclusion
The Pros
Using place value disks helps students build their understanding of place value.
Decomposing the numbers shows students how they can use the associative property for paper and mental
calculations.
Regrouping using place value disks helps students understand what is happening when they begin to use the
standard algorithm.
The Cons
Drawing the place value models is time consuming and if kids get confused drawing the disks they get errors.
Find it online in Module 3 from Engage NY at
https://www.engageny.org/resource/grade-4-mathematics