Division Models and Techniques

This video tutorial covers fourth-grade module three, lesson 15, focusing on division problems with remainders. It introduces the area and array models to help students visualize and solve division problems. The lesson explains two division techniques: measurement and partitive, and demonstrates how to apply these methods using examples like 26 divided by 4 and 44 divided by 7. The video emphasizes understanding the relationship between multiplication and division, and how to represent division problems using visual models.

What is the primary focus of the lesson in this module?

• Learning addition and subtraction

• Using area and array models for division

• Exploring fractions and decimals

• Understanding multiplication with arrays

When dividing 26 by 4 using the array model, how many columns are formed?

• 4 columns with a remainder of 3

• 5 columns with a remainder of 1

• 6 columns with a remainder of 2

• 7 columns with no remainder

In the area model, what does the height of the rectangle represent when dividing 26 by 4?

• The quotient

• The total number of items

• The remainder

• The divisor

How are the array and area models similar when representing division?

• Both use circles to represent numbers

• Both result in the same quotient and remainder

• Both models are used for multiplication

• Both require drawing a triangle

What is the quotient when dividing 24 by 4 using the array model?

• 4 with a remainder of 0

• 6 with no remainder

• 5 with a remainder of 4

• 7 with a remainder of 2

What is the key difference between the partitive and measurement techniques?

• Partitive is for multiplication, measurement is for division

• Measurement uses addition, partitive uses subtraction

• Both techniques are identical

• Partitive focuses on equal groups, measurement on group size

In the partitive technique, how are the groups formed?

• By using a single large group

• By forming groups of varying sizes

• By creating equal-sized groups

• By dividing into unequal groups

What is the remainder when dividing 44 by 7 using the array model?

• 3

• 2

• 4

• 1

How many groups are formed when dividing 37 by 6 using the array model?

• 5 groups with a remainder of 2

• 4 groups with a remainder of 3

• 6 groups with a remainder of 1

• 7 groups with no remainder