Rounding, Addition, and Subtraction

Lesson 2

Math

Unit 1

3rd Grade

Lesson 2 of 14

Objective


Represent three-digit numbers using concrete manipulatives and drawings, including cases with more than 9 of any unit.

Common Core Standards


Core Standards

  • 3.NBT.A.1 — Use place value understanding to round whole numbers to the nearest 10 or 100.
  • 3.NBT.A.2 — Fluently add and subtract within 1000 using strategies and algorithms based on place value, properties of operations, and/or the relationship between addition and subtraction.

Foundational Standards

  • 2.NBT.A.1
  • 2.NBT.A.3

Criteria for Success


  1. Understand that numbers are made up of digits that have value depending on their place.
  2. Understand that 10 of one unit is equivalent to 1 of the next larger unit (e.g., 10 ones is equivalent to 1 ten) (MP.7).  
  3. Represent three-digit numbers with concrete and pictorial base ten blocks and on a place value chart.
  4. Write numbers in standard, expanded, and unit form.
  5. Convert between nontraditional unit form (i.e., unit form with more than 9 of any unit) and standard form.

Tips for Teachers


  • There are no Extra Practice Problems today to allow teachers to build in math routines throughout the first few days of school.
  • Students will play a game in the Problem Set. The directions are at the top of the Problem Set. Ensure students understand the directions before releasing them to work.

Lesson Materials

  • Optional: Base ten blocks (About 5 hundreds, 20 tens, and 20 ones) — 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. Students could use Paper base ten blocks, or you could just use one set for the teacher if materials are limited.
  • Thousands place value chart (2 per student) — Students might need more or less depending on their reliance on this tool.
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Anchor Tasks

25-30 minutes


Problem 1

256 is a number. 

a.   Build the number 256 with base ten blocks or draw a picture to represent it. 

b.   Write it as a sum of 100’s, 10’s, and 1’s. 

c.   Write it in unit form.

Guiding Questions

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Student Response

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References

Illustrative Mathematics Looking at Numbers Every Which Way

Looking at Numbers Every Which Way, accessed on July 31, 2017, 9:51 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 2

Ivette wants to model the number 438 with base ten blocks, but she only has 2 tens rods. She has lots of hundreds and ones blocks. How can she make this number using the blocks she has?

Guiding Questions

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Student Response

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References

Illustrative Mathematics Three Composing/Decomposing Problems

Three Composing/Decomposing Problems, accessed on Sept. 25, 2018, 12:39 p.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

15-20 minutes


Discussion of Problem Set

  • What are some different ways you chose to represent each number?
  • How did you determine whether your partner’s representation was correct or not?

Target Task

5-10 minutes


Problem 1

What number is modeled on the place value chart below?

Student Response

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Problem 2

Find another way to model the same number on the place value chart below.

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.

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

Locate three-digit numbers on a number line and explain their placement.

Lesson 3
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Lesson Map

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Topic A: Foundations of Place Value

Topic B: Rounding to the Nearest Ten and Hundred

Topic C: Addition and Subtraction Within 1,000

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