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New York State Common Core 5 Mathematics Curriculum GRADE GRADE 5 • MODULE 2 Topic F Partial Quotients and Multi-Digit Whole Number Division 5.NBT.6 Focus Standard: 5.NBT.6 Instructional Days: 5 Coherence -Links from: G4–M3 Multi-Digit Multiplication and Division G6–M2 Arithmetic Operations Including Division of Fractions -Links to: Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. The series of lessons in Topic F leads students to divide multi-digit dividends by two-digit divisors using the written vertical method. Each lesson moves to a new level of difficulty with a sequence beginning with divisors that are multiples of 10 to non-multiples of 10. Two instructional days are devoted to single-digit quotients with and without remainders before progressing to two- and three-digit quotients (5.NBT.6). A Teaching Sequence Towards Mastery of Partial Quotients and Multi-Digit Whole Number Division Objective 1: Divide two- and three-digit dividends by multiples of 10 with single-digit quotients and make connections to a written method. (Lesson 19) Objective 2: Divide two- and three-digit dividends by two-digit divisors with single-digit quotients and make connections to a written method. (Lessons 20–21) Objective 3: Divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients, reasoning about the decomposition of successive remainders in each place value. (Lessons 22–23) Topic F: Date: © 2014 Common Core, Inc. Some rights reserved. commoncore.org Partial Quotients and Multi-Digit Whole Number Division 5/4/17 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported.License. 2.F.1