Place Value, Rounding, Addition, and Subtraction

Lesson 3

Math

Unit 1

4th Grade

Lesson 3 of 19

Objective


Model and write numbers to 10,000 with more than 9 of any unit in standard and unit form.

Common Core Standards


Core Standards

  • 4.NBT.A.1 — Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right. For example, recognize that 700 ÷ 70 = 10 by applying concepts of place value and division.
  • 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.
  • 4.NBT.B.4 — Fluently add and subtract multi-digit whole numbers using the standard algorithm.

Foundational Standards

  • 2.NBT.A.1
  • 2.NBT.A.2
  • 2.NBT.A.3

Criteria for Success


  1. Regroup 10 units into 1 of the next largest unit on a place value chart.
  2. Regroup 1 unit into 10 of the next smallest unit on a place value chart.
  3. Convert between nontraditional unit form (i.e., unit form with more than 9 of any kind of unit) and standard form.
  4. Identify errors in reasoning related to above (MP.3).

Tips for Teachers


Lesson Materials

  • Thousands place value chart (2 per student) — Students might need more or less depending on their reliance on this tool.
  • Optional: Base ten blocks (Various quantities, but about 20 of each type) — Students will need various quantities depending on how they regroup units in Anchor Task 2, or they may not need these at all depending on their reliance on concrete materials. You could just use one set for the teacher if materials are limited.
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Anchor Tasks


Problem 1

Ms. Glynn wants to model the number 2,213 with base ten blocks, but she only has 1 thousand block, as shown below. She has lots of hundreds, tens, and ones blocks. 

How can she make this number using the blocks she has?

Guiding Questions

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References

Achievement First Grade 4, Unit 2, Lesson 3 (2016-2017)

Grade 4, Unit 2, Lesson 3 (2016-2017) is made available by Achievement First as a part of their Open Source web portal under a CC BY 4.0 license. Copyright © 1999-2017 Achievement First. Accessed Sept. 13, 2017, 2 p.m..

Modified by Fishtank Learning, Inc.

Problem 2

a.   What number represents the same amount as 14 hundreds 23 tens?

b.   What are two different ways you could represent 5,641?

Guiding Questions

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References

Illustrative Mathematics Regrouping

Regrouping, accessed on Sept. 26, 2018, 11:45 a.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.

Modified by Fishtank Learning, Inc.

Problem Set


Answer Keys

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Discussion of Problem Set

  • Look at #1b. How did you model 2,130 with no more than 1 ten? Is there another way to model it that still meets that criteria?
  • Look at #2e. Why is the digit in the ones place a 0, despite the way the number was originally written there were many ones?
  • Look at #3. Is Miquel correct? What number was his answer actually equivalent to? How would you fix his answer so that it was correct?

Target Task


Problem 1

Jeremy says he can write 1,456 as 14 thousands 56 ones. Is he correct? Why or why not?

Problem 2

Fill out the following table.

Unit form Standard form
4 thousands 37 tens  
8 thousands 16 hundreds 33 tens 2 ones  
3 thousands 2 hundreds 4 tens 17 ones  

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 2

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Lesson 4

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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