Place Value, Rounding, Addition, and Subtraction

Lesson 9

Math

Unit 1

4th Grade

Lesson 9 of 19

Objective


Compare numbers based on the meanings of the digits using >, <, or = to record the comparison.

Common Core Standards


Core Standards

  • 4.NBT.A.2 — Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. Compare two multi-digit numbers based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.

Foundational Standards

  • 2.NBT.A.4

Criteria for Success


  1. Compare up to six-digit numbers by making use of the structure of the place value system (MP.7), namely that 1 of any unit is greater than any amount of a smaller unit. Thus, the largest place values in each number contains the most relevant information when comparing numbers. If both numbers have the same number of largest units, the next largest place value should be attended to next, iteratively until one digit is larger than another in the same unit.
  2. Record the result of comparisons using >, <, or =.
  3. Compare numbers written in various forms, including standard, word, and expanded form. 
  4. List numbers in ascending or descending order.

Tips for Teachers


Before the Problem Set, you could have students play "Corn Shucks" or "Appalachian Climb" from Building Conceptual Understanding and Fluency Through Games by the Public Schools of North Carolina ("Corn Shucks" is especially fun since it requires some strategic thinking!).

Lesson Materials

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Anchor Tasks


Problem 1

Would you rather have...

Option A:

3 thousands
1 ten

Option B:

2 thousands
4 tens

Explain.

Guiding Questions

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Problem 2

a.   Given 53,021 and 45,302, which one is larger? Use <, >, or = to record your comparison. 

b.   Given 970,461 and 907,641, which one is larger? Use <, >, or = to record your comparison.

c.   Given 2,540 and 23,805, which one is larger? Use <, >, or = to record your comparison.

Guiding Questions

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References

EngageNY Mathematics Grade 4 Mathematics > Module 1 > Topic B > Lesson 5Concept Development

Grade 4 Mathematics > Module 1 > Topic B > Lesson 5 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

List the following numbers in order from greatest to least.

32,434 32,644 3,856 33,534

Guiding Questions

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References

EngageNY Mathematics Grade 4 Mathematics > Module 1 > Topic B > Lesson 5Concept Development

Grade 4 Mathematics > Module 1 > Topic B > Lesson 5 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 4

Compare seven hundred thirteen thousand twenty-eight and 700,000 + 30,000 + 80 + 2. Record the result of your comparison using <, >, or =. 

Guiding Questions

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References

EngageNY Mathematics Grade 4 Mathematics > Module 1 > Topic B > Lesson 5Concept Development

Grade 4 Mathematics > Module 1 > Topic B > Lesson 5 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

  • How is comparing numbers in #1(a) different from #1(b)?
  • How does your understanding of place value help to compare and order numbers?
  • How can ordering numbers apply to real life?
  • What challenges arise in comparing numbers when the numbers are written in different forms, such as in #1d—f?
  • Look at #9. What digit did you choose to fill in the box? Is there more than one right answer? How do you know? 
  • Look at #10. What number did you choose for Kate? Is there more than one right answer? How do you know?

Target Task


Problem 1

Which of the following number sentences is true?

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Problem 2

Write the following numbers in order from greatest to least. 

41,897     6,284       50,361     47,030     4,908

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 8

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Lesson 10

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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