Multiplication and Division of Whole Numbers
Lesson 19
Objective
Divide multi-digit numbers by one- and two-digit divisors and assess the reasonableness of the quotient.
Common Core Standards
Core Standards
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5.NBT.B.6 — 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.
Foundational Standards
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4.NBT.B.4
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4.NBT.B.6
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5.NBT.A.1
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5.NBT.A.2
Criteria for Success
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- Estimate partial quotients of up to four-digit dividends and up to two-digit divisors with up to three-digit quotients.
- Use the estimate to approximate each value in the quotient, adjusting when the estimate is either too high or too low.
- Divide up to four-digit dividends by up to two-digit divisors with up to three-digit quotients and remainders in the ones place.
- Check that the solution to a division problem is correct by using inverse operations, multiplying the quotient by the divisor and adding the remainder, seeing if it is equivalent to the dividend.
- Assess the reasonableness of an answer by rounding and/or using the relationship between multiplication and division to check answers (MP.1).
- Solve word problems involving division, including those that require interpretation of the remainder (MP.1, MP.4).
Tips for Teachers
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Remote Learning Guidance
If you need to adapt or shorten this lesson for remote learning, we suggest prioritizing Anchor Task 2 (can be done independently). Find more guidance on adapting our math curriculum for remote learning here.
Anchor Tasks
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Problem 1
Make the largest quotient by filling in the boxes using the whole numbers $${1-9}$$ no more than one time each.
Guiding Questions
References
Dividing Two-Digit Numbers (Elementary) by is made available on Open Middle under the CC BY-NC-SA 4.0 license. Accessed Dec. 5, 2017, 4:13 p.m..
Modified by Fishtank Learning, Inc.Problem 2
Solve. Then assess the reasonableness of your answer.
a. $${8,801\div33}$$
b. $${6,132\div15}$$
c. $${7,464 \div 92}$$
Guiding Questions
Problem Set & Homework
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- Problem Set Answer Key
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- Homework Answer Key
Discussion of Problem Set
- Look at #1b. What did you do when you got to the tens place?
- Look at #1c. What did you do when you got to the tens place?
- What made #1h easier than #1g or #1j?
- Look at #1. Were there any problems where your estimate was incorrect and you had to adjust it?
- I think the principal now needs to buy 54 cartons of eggs in #3b. I saw a student write that the principal now needs to buy 53 cartons of eggs. Who do you agree with? Why?
Target Task
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Problem 1
For parts (a) and (b) below,
- Solve. Show or explain your work.
- Assess the reasonableness of your answer.
- $$1,534\div6$$
- $$344\div18$$
Problem 2
Henry says the solution to $${8,{18}8\div19 }$$ is $${43}$$ with a remainder of $${18}$$. His work is shown below.
- Use estimation to explain why Henry’s answer is not reasonable.
- What error do you think Henry made? Why do you think he made that error?
- Find the correct quotient of $${8,{18}8\div19 }$$.
Mastery Response
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Additional Practice
Unit Practice
With Fishtank Plus you can access our Daily Word Problem Practice and our content-aligned Fluency Activities created to help students strengthen their application and fluency skills.
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