Divide multiples of powers of ten by multiples of ten without remainders. Estimate multi-digit quotients by rounding numbers to their largest place value.
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Throughout Lessons 11—19, students see and make use of structure (MP.7) and attend to precision (MP.6) as they decompose numbers into sums of multiples of base-ten units to multiply or divide them.
In the book Teaching Student-Centered Mathematics, Grades 3-5, vol.1, John A. Van de Walle writes, “Language plays an enormous role in thinking conceptually about the standard division algorithm. More adults are accustomed to the “goes into” language that is hard to let go. For the problem $${583\div4}$$, here is some suggested language:
(Van de Walle, Teaching Student-Centered Mathematics, Grades 3—5, vol. 2, p. 191).
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1. Solve.
a. $${24\div6=}$$ __________
b. $${240\div6=}$$ __________
c. $${240\div60=}$$ __________
d. $${2,400\div60=}$$ __________
2. What do you notice about Problem 1? What do you wonder?
Grade 5 Mathematics > Module 2 > Topic E > Lesson 16 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..
Modified by The Match Foundation, Inc.Solve.
a. $$40\div8=$$ __________
b. $$400\div80=$$ __________
c. $$4,000\div80=$$ __________
Grade 5 Mathematics > Module 2 > Topic E > Lesson 17 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..
Modified by The Match Foundation, Inc.Estimate the following quotients.
Grade 5 Mathematics > Module 2 > Topic E > Lesson 17 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..
Modified by The Match Foundation, Inc.?
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Compute the quotient for the following problems:
$${120\div40}$$
$${4,800\div60}$$
Estimate the quotient for the following problems:
$${608\div23}$$
$${9,136\div31}$$
Grade 5 Mathematics > Module 2 > Topic E > Lesson 17 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..
Modified by The Match Foundation, Inc.?