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 twodigit 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 fourdigit dividends by twodigit divisors using an algorithm using partial quotients.
Student Facing
 Let’s practice using an algorithm using partial quotients.
Required Preparation
CCSS Standards
Addressing
Lesson Timeline
Warmup  10 min 
Activity 1  20 min 
Activity 2  15 min 
Lesson Synthesis  10 min 
Cooldown  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: Multidigit Factors (Addressing)
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