Place Value, Rounding, Addition, and Subtraction

Lesson 17

Math

Unit 1

4th Grade

Lesson 17 of 19

Objective


Fluently subtract multi-digit whole numbers using the standard algorithm involving multiple decompositions. Solve one-step word problems involving subtraction.

Common Core Standards


Core Standards

  • 4.NBT.B.4 — Fluently add and subtract multi-digit whole numbers using the standard algorithm.

Foundational Standards

  • 3.NBT.A.2

Criteria for Success


  1. Subtract multi-digit numbers with multiple decompositions. 
  2. Solve one-step word problems involving subtraction with multiple decompositions, using a letter to represent the unknown (MP.4).

Tips for Teachers


Students have solved one-step word problems involving subtraction in previous grade levels (1.OA.1, 2.OA.1, 3.OA.8), just not yet with whole numbers of this magnitude. So, the intention of the word problems in this lesson is to have students solve contextual problems that involve computations expected of this grade level (4.NBT.4) as well as prepare students to solve multi-step word problems involving addition and subtraction later in the unit, and eventually multiplication (Unit 3) and division (Unit 4) (4.OA.3).

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Anchor Tasks


Problem 1

Place any digit, 1 through 9, in the boxes below to create the smallest possible difference. Each digit can only be used once.

Guiding Questions

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References

Open Middle Subtraction to Get the Smallest Difference

Subtraction to Get the Smallest Difference by is made available on Open Middle under the CC BY-NC-SA 4.0 license. Accessed Sept. 13, 2017, 8:46 a.m..

Modified by Fishtank Learning, Inc.

Problem 2

Estimate. Then solve.

a.   253,421 − $$\square$$  = 75,832

b.   $$\begin{align} 1,000,000 \\ {-\ 978,564}& \\ \hline \end{align}$$

Guiding Questions

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References

EngageNY Mathematics Grade 4 Mathematics > Module 1 > Topic E > Lesson 15Concept Development

Grade 4 Mathematics > Module 1 > Topic E > Lesson 15 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 Fishtank Learning, Inc.

Problem 3

Last year, there were 620,073 people in attendance at a local parade. There were 163,278 fewer people at the parade this year than there were last year. How many people were in attendance this year?

Guiding Questions

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References

EngageNY Mathematics Grade 4 Mathematics > Module 1 > Topic E > Lesson 15Concept Development

Grade 4 Mathematics > Module 1 > Topic E > Lesson 15 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 Fishtank Learning, Inc.

Problem Set


Answer Keys

Unlock the answer keys for this lesson's problem set and extra practice problems to save time and support student learning.

Discussion of Problem Set

  • Look at #1(d). If you had added 13 to both numbers, would it have resulted in the same difference? What is the advantage of adding 13 to both numbers? 
  • Look at #1(e) and 1(f). Did anyone notice a pattern that could be used to solve these problems?
  • Did anyone count up to solve #1(g)? Why did you decide to do that? What is the advantage of that strategy? 
  • What was different about #1(i) than the previous problems? 
  • What mistake did the student make in #4? How would you correct it? What is the correct difference? 
  • Look at #5 and #6. How are these problems similar? How are they different? 
  • How do you know when you are ready to subtract across the problem?
  • How can you check your answer when subtracting? 
  • Is there a number that you can subtract from 1,000,000 without decomposing across to the ones (other than 1,000,000)? 100,000? 10,000?
  • How can decomposing multiple times be challenging? 
  • How does the tape diagram help you determine which operation to use to find the answer?

Target Task


Problem 1

Solve. Show or explain your work.

a.      ________ = 32,010 – 2,546

b.   829,403 = 175,368 + _____________

Student Response

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Problem 2

A company plans to give free stickers to 100,000 customers. On the first day of the giveaway, they give free stickers to 6,512 customers. How many stickers do they still have to give away? Show or explain your work. 

Student Response

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Additional Practice


The Extra Practice Problems can be used as additional practice for homework, during an intervention block, etc. Daily Word Problems and Fluency Activities are aligned to the content of the unit but not necessarily to the lesson objective, therefore feel free to use them anytime during your school day.

Extra Practice Problems

Answer Keys

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Word Problems and Fluency Activities

Word Problems and Fluency Activities

Help students strengthen their application and fluency skills with daily word problem practice and content-aligned fluency activities.

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Lesson 16

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Lesson 18

Lesson Map

A7CB09C2-D12F-4F55-80DB-37298FF0A765

Topic A: Place Value of Multi-Digit Whole Numbers

Topic B: Reading, Writing, and Comparing Multi-Digit Whole Numbers

Topic C: Rounding Multi-Digit Whole Numbers

Topic D: Multi-Digit Whole-Number Addition and Subtraction

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