In this Grade 5 Illustrative Mathematics lesson, students estimate and solve multi-digit division problems using strategies such as partial quotients and the relationship between multiplication and division. Set in the context of a world record Peruvian folk dance with 4,704 dancers arranged in groups of 8, students practice dividing multi-digit whole numbers in ways that build on their Grade 4 understanding of place value and division. This lesson from Chapter 4 prepares students for more efficient division methods aligned to standard 5.NBT.B.6.
Section 1
Strategic Placement and Maximum Carry
To maximize a product, place the largest available digits in the positions with the highest place value.
The maximum value that can be composed (carried) in any single step of multiplication is 8.
Section 2
Applying Multiplication to Equal Groups
To find the total number of items in a collection of equal-sized groups, you multiply the number of groups by the number of items in each group.
Multiplication is an efficient method for finding the total when combining multiple groups of the same size. In a word problem, one factor represents the number of equal groups, while the other factor represents the quantity within each group. The product of these two numbers gives you the total quantity across all groups. This concept is fundamental for solving real-world problems involving repeated addition.
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Section 1
Strategic Placement and Maximum Carry
To maximize a product, place the largest available digits in the positions with the highest place value.
The maximum value that can be composed (carried) in any single step of multiplication is 8.
Section 2
Applying Multiplication to Equal Groups
To find the total number of items in a collection of equal-sized groups, you multiply the number of groups by the number of items in each group.
Multiplication is an efficient method for finding the total when combining multiple groups of the same size. In a word problem, one factor represents the number of equal groups, while the other factor represents the quantity within each group. The product of these two numbers gives you the total quantity across all groups. This concept is fundamental for solving real-world problems involving repeated addition.
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter