Lesson 6

Paper-and-Pencil Division

Est. Class Sessions: 2–3

Summarizing the Lesson

Have students play the Division Digits Game. The directions and digit cards are in the Student Activity Book. The rules are similar to those in earlier digits games except this time the operation is division. Students can also take the game home to play with family members as homework.

Before students begin the Paper-and-Pencil Division Quiz, ask them for suggestions about ways to use Expectations 3, 4, and 5 on the Math Practices page of the Reference section for Question 2.

  • What should your explanation include to show that you checked for reasonableness? (It should explain how I estimated, what convenient numbers I used, and what operation I used.)
  • How can you show that you checked your calculations? (Possible responses: I can show how I solved the problem a different way and got the same answer; I can multiply the divisor and the quotient and add the remainder to get the dividend.)
  • How can you show your work? (Possible responses: If I used the column method, I should show my columns; I can do all my figuring right on the quiz paper.)
  • What if you have a remainder? (I should explain what the remainder means in my final answer.)

Tell students to circle Question 2 on the quiz. Question 2 will be reviewed for how well the “reasonableness” of the answer is explained, as well as for whether the answer is correct. Use the Paper-and-Pencil Division Quiz Feedback Box to provide feedback to students about their progress.

Use the Paper-and-Pencil Division Quiz with Feedback Box to document students' progress toward showing connections between models and strategies for multidigit division [E2]; showing connections between multiplication and division (e.g., fact families, using multiplication to divide) [E3]; interpreting remainders from division of multidigit numbers [E4]; and dividing multidigit numbers by 1-digit divisors using paper and pencil [E7].

Use responses to Question 2 to evaluate progress toward the Math Practices Expectations below:

MPE3.
Check for reasonableness. I look back at my solution to see if my answer makes sense. If it does not, I try again.
MPE4.
Check my calculations. If I make mistakes, I correct them.
MPE5.
Show my work. I show or tell how I arrived at my answer so someone else can understand my thinking.

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

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