Lesson 14

Practice an Algorithm Using Partial Quotients

Lesson Purpose

The purpose of this lesson is for students to practice using an algorithm using partial quotients.

Lesson Narrative

In previous lessons, students learned to use an algorithm using partial quotients to evaluate division expressions involving two-digit divisors. In this lesson, students extend their work in two ways. First, using partial quotients requires care in finding multiples and subtracting those multiples or partial quotients. Students identify and correct errors in multiplication and subtraction. Then they find quotients of larger numbers. Here the multiplication and subtraction demands increase and students see the first cases where they can subtract 100 or a multiple of 100 of the divisor from the dividend.
  • Action and Expression
  • MLR8

Learning Goals

Teacher Facing

  • Divide four-digit dividends by two-digit divisors using an algorithm using partial quotients.

Student Facing

  • Let’s practice using an algorithm using partial quotients.

Required Preparation

CCSS Standards


Lesson Timeline

Warm-up 10 min
Activity 1 20 min
Activity 2 15 min
Lesson Synthesis 10 min
Cool-down 5 min

Teacher Reflection Questions

It is important for students to build procedural skills from conceptual understanding. How will you connect student thinking to support each student in using increasingly more efficient multiples of the divisor when they use an algorithm using partial quotients?

Suggested Centers

  • Number Puzzles: Multiplication and Division (4–5), Stage 2: Multi-digit Factors (Addressing)

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