Title: |
Grade 5 Mathematics Module 2, Topic E: Mental Strategies for Multi-Digit Whole Number Division |
URL: |
https://www.engageny.org/resource/grade-5-mathematics-module-2-topic-e-overview |
Content Source: |
EngageNY
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Type: |
Lesson/Unit Plan
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Overview: |
Module 2, Topics E through H provide a parallel sequence for division to that offered in Topics A to D for multiplication. Topic E begins concretely with place value disks as an introduction to division with multi-digit whole numbers (5.NBT.6). In Lesson 17, 420 ÷ 60 is interpreted as 420 ÷ 10 ÷ 6. Next, students round dividends and 2-digit divisors to nearby multiples of ten in order to estimate single-digit quotients (e.g., 431 ÷ 58 ≈ 420 ÷ 60 = 7) and then multi-digit quotients. This work is done horizontally, outside the context of the written vertical method. |
Content Standard(s): |
Mathematics MA2015 (2016) Grade: 5 | 5 ) Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10. [5-NBT2]
NAEP Framework
| Mathematics MA2019 (2019) Grade: 5 | 3. Using models and quantitative reasoning, explain that in a multi-digit number, including decimals, a digit in any place represents ten times what it represents in the place to its right and 1/10 of what it represents in the place to its left.
a. Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, using whole-number exponents to denote powers of 10.
b. Explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10, using whole-number exponents to denote powers of 10. Unpacked Content
Alabama Alternate Achievement Standards
| 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
Alabama Alternate Achievement Standards
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Tags:
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arrays, decimal, divide, dividend, divisors, equations, exponents, multidigit, multiply, operations, patterns, place value, powers of 10, quotient, zeros |
License Type:
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Accessibility | Text Resources: Content is organized under headings and subheadings |
Comments | There are three 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. |