Lesson 3

Modeling Division

Est. Class Sessions: 2

Summarizing the Lesson

Ask students to refer to the Division Strategies Menu in the Student Activity Book or in the Reference section of their Student Guide. Show a display of the menu as well. See Figure 3.

  • What strategies on the menu did you use for division in this lesson? (Students used the column method and the rectangle model.)
  • Which strategy did you use for division in the previous lesson? (Mental math)
  • Which strategy do you find most helpful for dividing by single-digit numbers?
  • What is helpful about that method?
  • Which strategy is the most accurate for you? When do you make the fewest mistakes?
  • Are there any strategies you used that do not appear on the menu?

Have students share any additional strategies with the class. Invite them to add strategies that are mathematically sound into the blank space in the Division Strategies Menu in the Student Activity Book.

Some students may suggest adding to the menu previously learned paper-and-pencil algorithms, such as the traditional algorithm for long division. Allow students to share these strategies if they bring them up, but it is not necessary or useful at this point to spend a great deal of class time explaining and practicing these paper-and-pencil procedures. The emphasis in this lesson is for students to develop a conceptual foundation for division before working with more formalized algorithms. The partial quotients method will be developed from these conceptual models in Lesson 6.

Ask students to use the Division Strategies Menu to complete Check–In: Questions 19–24 in the Student Guide. Students should solve the problems using the methods they choose, but encourage them to use all the strategies at least once.

Use Check-In: Questions 19–24 in the Student Guide to document students' progress toward: demonstrating understanding of division of multidigit numbers by 1-digit numbers using models [E1]; showing connections between multiplication and division [E3]; and interpreting remainders from division of multidigit numbers [E4].

The Workshop in Lesson 5 provides targeted practice with connecting multiplication and division [E3].

Division Strategies Menu
X
+