Learn on PengiEureka Math, Grade 5Chapter 14: Measurement Word Problems with Multi-Digit Division

Lesson 2: Solve division word problems involving multi-digit division with group size unknown and the number of groups unknown.

In this Grade 5 Eureka Math lesson from Chapter 14, students solve multi-step division word problems by distinguishing between "group size unknown" and "number of groups unknown" problem types using multi-digit division. Students apply skills such as dividing decimals by two-digit numbers and using tape diagrams to solve real-world scenarios involving kilograms, area, and large quantities. Unit conversions with metric and customary measurements are also practiced to support problem solving throughout the lesson.

Section 1

Differentiating Between Division Problem Types

Property

Division word problems can be categorized into two types based on what is unknown:

  1. Group Size Unknown: You know the total amount and the number of groups.
Total÷Number of Groups=Group SizeTotal \div Number\ of\ Groups = Group\ Size
  1. Number of Groups Unknown: You know the total amount and the size of each group.
Total÷Group Size=Number of GroupsTotal \div Group\ Size = Number\ of\ Groups

Lesson overview

Expand to review the lesson summary and core properties.

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Section 1

Differentiating Between Division Problem Types

Property

Division word problems can be categorized into two types based on what is unknown:

  1. Group Size Unknown: You know the total amount and the number of groups.
Total÷Number of Groups=Group SizeTotal \div Number\ of\ Groups = Group\ Size
  1. Number of Groups Unknown: You know the total amount and the size of each group.
Total÷Group Size=Number of GroupsTotal \div Group\ Size = Number\ of\ Groups