ALEX Classroom Resource

  

Grade 5 Mathematics Module 2, Topic F: Partial Quotients and Multi-Digit Whole Number Division

  Classroom Resource Information  

Title:

 Grade 5 Mathematics Module 2, Topic F: Partial Quotients and Multi-Digit Whole Number Division

URL:

 https://www.engageny.org/resource/grade-5-mathematics-module-2-topic-f-overview

Content Source:

 EngageNY
Type: Lesson/Unit Plan

Overview:

The series of lessons in Module 2, Topic F lead 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).

Content Standard(s):
Mathematics
MA2019 (2019)
Grade: 5
7. Use strategies based on place value, properties of operations, and/or the relationship between multiplication and division to find whole-number quotients and remainders with up to four-digit dividends and two-digit divisors. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
Unpacked Content
Evidence Of Student Attainment:
Students:
  • Choose strategies based on place value, partial quotients, properties of operations, or the relationship between multiplication and division to find whole number quotients and remainders.
  • Solve word problem situations involving division.
  • Justify solution path for quotients using equations, arrays or area models.
      • Note: Standard algorithm for division is not an expectation at grade 5.
Teacher Vocabulary:
  • Quotient
  • Dividend
  • Divisor
  • Divide
  • Multiply
  • Equation
  • Remainder
  • Multiple
  • Area model
  • Decompose
  • Partial quotient
  • Equation
Knowledge:
Students know:
  • Efficient strategies to find a whole number quotient when a multi-digit number (up to 4-digit dividend) is divided by a single-digit divisor.
  • How to justify quotients using an illustration or the relationship between multiplication and division.
Skills:
Students are able to:
  • Find whole number quotients and remainders using a variety of strategies based on place value and properties of operations.
  • Illustrate and explain the calculation using equations, arrays, and area models.
Understanding:
Students understand that:
  • Strategies for division by a one-digit divisor are extended to two-digit divisors.
  • Visual models are used to illustrate division.
  • Remainders may be written as a fraction or decimal and interpreted based on context of the problem situation.
Diverse Learning Needs:
Essential Skills:
Learning Objectives:
M.5.7.1: Construct a division equation with an example of the division algorithm.
M.5.7.2: Illustrate the division algorithm using a one-digit divisor and a 2-digit dividend.
M.5.7.3: Identify the place value of a division problem.
M.5.7.4: Restate the inverse process of division as multiplication.
M.5.7.5: Recall basic multiplication facts.

Prior Knowledge Skills:
  • Use concrete models, drawings, and strategies to add, subtract, multiply, and divide decimals.
  • Relate strategies for operations with decimals to a written method and explain reasoning used.
  • Solve real-world context problems involving decimals.
Alabama Alternate Achievement Standards
AAS Standard:
M.AAS.5.6 Model multiplication with two digit whole numbers by one digit whole numbers with regrouping using strategies such as arrays, decomposition, and manipulatives.

Tags: area, arrays, dividends, division, divisors, equations, multiplication, operations, place value, quotients, wholenumber
License Type: Custom Permission Type
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Comments

There are five lessons in this topic.

This resource is free for teachers to access and use. All resources required for the lessons are available to print from the site.

  This resource provided by:  
Author: Hannah Bradley
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