Lesson 5

Subtracting Multidigit Numbers

Est. Class Sessions: 3

Developing the Lesson

Part 2: Choosing a Strategy

Correct Confused Contessa's Subtraction Mistakes. Display and direct students to the Help Contessa Again pages from the Student Activity Book. Explain to the students that Confused Contessa needs help correcting mistakes she made while subtracting larger numbers. For each problem, ask students to estimate the difference and then discuss Contessa's work with a partner to try to identify her mistake.

  • Can you explain the mistake Contessa made?
  • Solve the problem correctly using the same method Contessa used.
  • Show us how to solve the problem correctly.

Discuss the mistakes Contessa made in Questions 1A–E:

  1. Contessa traded unnecessarily.
  2. Contessa incorrectly subtracted 9 from 0 instead of trading.
  3. Contessa added instead of subtracting.
  4. Contessa made place value and partitioning mistakes e.g., 657 does not equal 6 + 5 + 7.
  5. When Contessa could not take 7 tens from 0 tens, she took 1 from the 9 in the ones column and recorded it as a ten.

Apply Strategies to Solve Word Problems. Display and direct students' attention to the Math Practices page in the Student Activity Book Reference section. As they work on the multidigit subtraction problems on the Swim Camp for Sharks pages in the Student Activity Book, students will apply all the Math Practices Expectations.

  • MPE1 is Know the problem. How will you know what is important when solving these word problems? (Read the problem carefully; think about what the question is asking and what I need to find out.)
  • MPE2 is Find a strategy. Which tools and strategies can help you? (the strategies on the Subtraction Strategies Menu for Larger Numbers, base-ten pieces, open number lines)
  • MPE3 is Check for reasonableness. How does estimating the difference first help you check for reasonableness? (You can compare your estimate to your answer to see if it makes sense. If it doesn't, you can solve it again.)
  • MPE4 is Check your calculations. How can you use addition to check your subtraction calculations? (Add the answer to the amount you took away. If you get the amount you started with, your answer is correct.)
  • MPE5 is Show my work. What is important to remember when you are showing or telling how you arrived at your answer? (It is important to record my steps clearly so that others can understand my thinking.)
  • MPE6 is Use labels. Look at some of the word problems. Can you give an example of a label you might use? (Possible responses: miles, sharks, laps, dollars)

Tell students to refer to the Subtraction Strategies Menu for Larger Numbers in the Student Activity Book Reference section as they complete the word problems on the Swim Camp for Sharks pages.

Use Check-In: Questions 4–6 with the Feedback Box on the Swim Camp for Sharks pages in the Student Activity Book to assess students' abilities to subtract multidigit numbers using mental math strategies [E6] and paper-and-pencil methods [E7]; estimate differences [E8]; know the problem [MPE1]; find a strategy [MPE2]; use estimation to check for reasonableness [MPE3]; use addition to check calculations [MPE4]; show work [MPE5]; and use labels [MPE6].

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Students' strategies for solving subtraction problems on the Mental Math Subtraction Strategies pages in the Student Activity Book
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Representing 1111 with base-ten shorthand
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Representing 1324 with base-ten shorthand
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Representing and comparing 1282 to 1023
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Representing and comparing 872 and 1216
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Considering the Fewest Pieces Rule when using base-ten pieces to compare numbers
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