Adding and Subtracting Within 1,000

Lesson 12

Math

Unit 5

2nd Grade

Lesson 12 of 25

Objective


Subtract multiples of 10 and 100 from numbers within 1,000.

Student-Facing

I can subtract many 10s or 100s from numbers within 1,000. 

Common Core Standards


Core Standards

  • 2.NBT.B.7 — Add and subtract within 1000, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method. Understand that in adding or subtracting three-digit numbers, one adds or subtracts hundreds and hundreds, tens and tens, ones and ones; and sometimes it is necessary to compose or decompose tens or hundreds.
  • 2.NBT.B.8 — Mentally add 10 or 100 to a given number 100—900, and mentally subtract 10 or 100 from a given number 100—900.

Foundational Standards

  • 1.NBT.B.2
  • 2.NBT.A.1
  • 2.NBT.A.2

Criteria for Success


  1. Know that when you subtract multiple tens the value of the tens place decreases or in some cases a change in hundreds place.
  2. Know that when you subtract multiple hundreds the value of the hundreds place decreases. 
  3. Represent subtracting multiple tens or hundreds with arrow notation and continuing counting back subtracting one ten or hundred at a time from the total or counting up from the subtrahend.
  4. Represent subtracting multiple tens or hundreds with an empty number line with equal interval jumps for each ten or hundred counting up from the subtrahend or counting back from the minuend. 

Tips for Teachers


Lesson Materials

  • Optional: Base ten blocks
  • Empty Number Line (1 per student) — These should be laminated or in sheet protectors to reuse
  • Sheet protectors (1 per student)
  • Dry erase marker (1 per student)

Warm Up

5-10 minutes


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Anchor Tasks

15-25 minutes


Problem 1

Amelia used an empty number line to show 813 -500. 

a.   Do you agree or disagree with Amelia's solution? Explain. 

b.   Find the following solutions. Use Amelia's strategy to help you.

  1. 572 - 200 =_____
  2. 572 - 20 = _____
  3. 170 - 80 = _____
  4. 946 - 300 = _____

Purpose

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Problem 2

a.   What do you notice and what do you wonder about this solution?

  1. 250 -70 = _____ 

b.   Show subtraction using arrows to record your thinking. 

  1. 560 - 90 = _____
  2. 333 - 50 = _____
  3. 743 - 400 = _____

Purpose

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Problem 3

Solve and show your thinking with an empty number line and arrow recording. 

Be prepared to share reasoning: Which way do you prefer? Why? Are there situations when you prefer one method over the other?

a.   435 - 80 = _____

b.   645 - 500 = _____

Purpose

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Problem Set

15-20 minutes


Target Task

5-10 minutes


Show how you find the value of the missing number.

a.   397 - 50 = _____

b.   575 - 200 = _____

c.   165 - 80 = _____

d.   980 - 600 = _____

Student Response

Additional Practice


Daily Word Problems, Warm Ups, and Center 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

Next

Use constant difference to subtract by subtracting multiples of ten or a hundred.

Lesson 13
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Lesson Map

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

Topic A: Adding with Mental Strategies

Topic B: Adding within 1,000

Topic C: Subtracting with Mental Strategies

Topic D: Subtracting within 1,000

Topic E: Story Problems and Explaining Addition and Subtracting Thinking

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