Place Value, Rounding, Addition, and Subtraction

Lesson 1

Math

Unit 1

4th Grade

Lesson 1 of 19

Objective


Review place value understanding for numbers within 1,000.

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.A.3 — Use place value understanding to round multi-digit whole numbers to any place.
  • 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
  • 3.NBT.A.1

Criteria for Success


  1. Review the counting sequence to 1,000.
  2. Notice patterns in the count sequence, such as the repeating sequence of ones digits, that the tens digit changes every ten numbers, and the hundreds digit changes every 100 numbers, etc. (MP.7). 
  3. Locate numbers in relation to benchmark numbers (e.g., 700 or 620 or 125).
  4. Given a number, identify the two tens or hundreds that number is in between/closer to.
  5. Identify the number of ones, tens, and hundreds in a three-digit number.

Tips for Teachers


  • This lesson is a review of place value content learned in previous grades. 
  • As a class or grade-level project, you could decide to collect some specific quantity of a small object, such as bread tabs, bottle caps, or can tabs. I would recommend collecting 1,000 or 10,000, since collecting 100,000 may not be and 1,000,000 definitely won’t be feasible to achieve in one school year. You could introduce that idea here or in a subsequent lesson. 
  • There is no Target Task or Extra Practice Problems today to allow teachers to build in math routines throughout the first few days of school.

Lesson Materials

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Anchor Tasks

25-30 minutes


Problem 1

Using blank hundreds charts, create a book that represents numbers 1 to 1,000.

Guiding Questions

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Student Response

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References

John A. Van de Walle Teaching Student-Centered Mathematics: Developmentally Appropriate Instruction for Grades Pre-K-2Activity 8.21

Van de Walle, John A. Teaching Student-Centered Mathematics: Developmentally Appropriate Instruction for Grades Pre-K-2. Pearson, 2nd edition, 2013.

Modified by Fishtank Learning, Inc.
John A. Van de Walle Teaching Student-Centered Mathematics: Developmentally Appropriate Instruction for Grades 3-5 (Volume II)Activity 10.11

Van de Walle, John A. Teaching Student-Centered Mathematics: Developmentally Appropriate Instruction for Grades 3-5 (Volume II). Pearson, 2nd edition, 2013.

Modified by Fishtank Learning, Inc.

Problem 2

a.   Find 249 in your 1,000 book. Which hundreds page is it on? Which two benchmarks tens is it in between? Which ten is it closer to?

b.   I'm thinking of a number. It's on the 400 page. It's close to the number 460. It ends in 2. What number am I thinking of?

Guiding Questions

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Student Response

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References

John A. Van de Walle Teaching Student-Centered Mathematics: Developmentally Appropriate Instruction for Grades 3-5 (Volume II)Activity 10.10

Van de Walle, John A. Teaching Student-Centered Mathematics: Developmentally Appropriate Instruction for Grades 3-5 (Volume II). Pearson, 2nd edition, 2013.

Modified by Fishtank Learning, Inc.
Achievement First Grade 4, Unit 2, Lesson 1

Grade 4, Unit 2, Lesson 1 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. 7, 2017, 9:39 a.m..

Modified by Fishtank Learning, Inc.

Problem Set

15-20 minutes


Discussion of Problem Set

  • What are some strategies that you used to determine the mystery numbers?
  • How did knowing the patterns within the 1,000 book help you locate the numbers or answer the questions more easily?

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.

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.

Next

Build numbers to 10,000 and write numbers to that place value in standard, unit, and expanded form.

Lesson 2
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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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