Model Division with Place Value Disks
This Grade 4 Eureka Math skill teaches students to model two-digit division using place value disks arranged into equal groups. Students distribute the tens disks first, then the ones disks, into the number of groups specified by the divisor. For example, to solve 37 divided by 3, model 3 tens and 7 ones: distribute 3 tens into 3 groups (1 ten each), then distribute 7 ones into 3 groups (2 ones each, with 1 remaining). The result is 12 R1. This concrete model from Chapter 13 of Eureka Math Grade 4 builds procedural understanding of the division algorithm.
Key Concepts
To divide a number using place value disks, distribute the disks for each place value, starting with the largest (tens), into a number of equal groups determined by the divisor.
Common Questions
How do you model division with place value disks?
Represent the dividend with tens and ones disks. Distribute the disks into equal groups equal to the divisor, starting with tens. Any remaining undistributed disks become the remainder.
How do you model 37 divided by 3 with place value disks?
Model 37 as 3 ten-disks and 7 one-disks. Distribute 3 tens equally into 3 groups: 1 ten each. Distribute 7 ones into 3 groups: 2 each, with 1 left over. Result: 12 R1.
What do you do when tens disks cannot be distributed evenly?
Trade (decompose) remaining tens into ones: each undistributed ten becomes 10 ones, which are then added to the existing ones before continuing distribution.
What is the connection between place value disk division and the standard algorithm?
Each step of distributing disks corresponds to a step in the written long division algorithm: dividing tens, recording the quotient digit, distributing ones, and recording the remainder.
How do you determine the remainder from a disk model?
The remainder equals the number of disks left over after distributing as evenly as possible into the groups. Remaining disks that cannot form a complete group are the remainder.