ALEX Classroom Resource

  

Grade 6 Mathematics Module 2, Topic C: Dividing Whole Numbers and Decimals

  Classroom Resource Information  

Title:

Grade 6 Mathematics Module 2, Topic C: Dividing Whole Numbers and Decimals

URL:

https://www.engageny.org/resource/grade-6-mathematics-module-2-topic-c-overview

Content Source:

EngageNY
Type: Lesson/Unit Plan

Overview:

In Grades 4 and 5, students used concrete models, pictorial representations, and properties to divide whole numbers (4.NBT.6, 5.NBT.6). They became efficient in applying the standard algorithm for long division. They broke dividends apart into like base-ten units, applying the distributive property to find quotients place by place.  In Module 2, Topic C, students connect estimation to place value and determine that the standard algorithm is simply a tally system arranged in place value columns (6.NS.2). Students understand that when they “bring down” the next digit in the algorithm, they are essentially distributing, recording, and shifting to the next place value. They understand that the steps in the algorithm continually provide better approximations to the answer.  Students further their understanding of division as they develop fluency in the use of the standard algorithm to divide multi-digit decimals (6.NS.3). They make connections to the division of fractions and rely on mental math strategies to implement the division algorithm when finding the quotients of decimals. 

Content Standard(s):
Mathematics
MA2019 (2019)
Grade: 6
5. Fluently divide multi-digit whole numbers using a standard algorithm to solve real-world and mathematical problems.
Unpacked Content
Evidence Of Student Attainment:
Students:
Given a context which calls for the division of two whole numbers,
  • Choose the most appropriate strategy for computing the answer.
  • Produce accurate results using a standard algorithm when appropriate.
Teacher Vocabulary:
  • Standard algorithm
  • Dividend
  • Divisor
  • Quotient
Knowledge:
Students know:
  • strategies for computing answers to division mathematical and real-world problems using the standard division algorithm.
Skills:
Students are able to:
  • Strategically choose and apply appropriate strategies for dividing.
  • Accurately find quotients using the standard division algorithm.
Understanding:
Students understand that:
  • Mathematical problems can be solved using a variety of strategies, models, and representations.
  • Efficient application of computation strategies is based on the numbers and operations in the problems,
  • The steps used in the standard algorithms for division can be justified by using properties of operations and understanding of place value.
  • Among all techniques and algorithms that may be chosen for accurately performing multi-digit computations, some procedures have been chosen with which all should be fluent for efficiency, communication, and use in other mathematics situations.

Alabama Alternate Achievement Standards
AAS Standard:
M.AAS.6.5 Apply the concepts of dividing multi-digit numbers without remainders to real-world problems.


Mathematics
MA2019 (2019)
Grade: 6
6. Add, subtract, multiply, and divide decimals using a standard algorithm.
Unpacked Content
Evidence Of Student Attainment:
Students:
Given a context which calls for complex computation involving multi-digit decimals,
  • Choose the most appropriate strategy for computing the answer.
  • Produce accurate results efficiently using a standard algorithm for each operation when appropriate.
Teacher Vocabulary:
  • Standard algorithms (addition, subtraction, multiplication, and division)
  • Quotient
  • Sum
  • Product
  • Difference
  • Tenths
  • Hundredths
  • Thousandths
  • Ten thousandths
  • Hundred thousandths
Knowledge:
Students know:
  • Place value conventions (i.e., a digit in one place represents 10 times as much as it would represent in the place to its right and 1/10 of what it represents in the place to its left).
  • Strategies for computing answers to complex addition, subtraction, multiplication, and division problems involving multi-digit decimals, including a standard algorithm for each operation.
Skills:
Students are able to:
  • Strategically choose and apply appropriate computation strategies.
  • Accurately find sums, differences, products, and quotients using the standard algorithms for each operation.
Understanding:
Students understand that:
  • Place value patterns and values continue to the right of the decimal point and allow the standard algorithm for addition and subtraction to be applied in the same manner as with whole numbers.
  • Mathematical problems can be solved using a variety of strategies, models, and representations.
  • Efficient application of computation strategies is based on the numbers and operations in the problem.
  • The steps used in the standard algorithms for the four operations can be justified by using properties of operations and understanding of place value.
  • Among all techniques and algorithms that may be chosen for accurately performing multi-digit computations, some procedures have been chosen with which all should be fluent for efficiency, communication, and use in other mathematics situations.

Alabama Alternate Achievement Standards
AAS Standard:
M.AAS.6.6 Solve two-factor multiplication problems with products up to 100 (whole numbers only).


Tags: add, algorithm, decimals, divide, multidigit, multiply, subtract
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Comments

There are four lessons in this topic.

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  This resource provided by:  
Author: Hannah Bradley