Learn on PengienVision, Mathematics, Grade 5Chapter 5: Use Models and Strategies to Divide Whole Numbers

Lesson 7: Choose a Strategy to Divide

In this Grade 5 lesson from enVision Mathematics Chapter 5, students learn how to select and apply different division strategies — including estimation, area models, and partial quotients — to solve multi-digit division problems. Using real-world contexts such as distributing items into bins and cartons, students practice dividing four-digit numbers by one- and two-digit divisors while checking answers for reasonableness.

Section 1

Finding Compatible Numbers

Property

To set up a division problem for estimation, change the original problem a÷ba \div b into an approximate problem a÷ba' \div b'.
First, round the divisor bb to the nearest ten to get bb'.
Then, find a compatible number aa' by choosing a multiple of bb' that is close to the original dividend aa.

Examples

Section 2

Using Estimation to Check Reasonableness

Property

To assess reasonableness, round the numbers in the problem to nearby, easy-to-work-with values. Then, perform the same two steps of the problem using these rounded numbers. The result of your estimation should be close to your calculated answer.

Examples

Book overview

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Chapter 5: Use Models and Strategies to Divide Whole Numbers

  1. Lesson 1

    Lesson 1: Use Patterns and Mental Math to Divide

  2. Lesson 2

    Lesson 2: Estimate Quotients with 2-Digit Divisors

  3. Lesson 3

    Lesson 3: Use Models and Properties to Divide With 2-Digit Divisors

  4. Lesson 4

    Lesson 4: Use Partial Quotients to Divide

  5. Lesson 5

    Lesson 5: Use Sharing to Divide: Two-Digit Divisors

  6. Lesson 6

    Lesson 6: Use Sharing to Divide: Greater Dividends

  7. Lesson 7Current

    Lesson 7: Choose a Strategy to Divide

Lesson overview

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Section 1

Finding Compatible Numbers

Property

To set up a division problem for estimation, change the original problem a÷ba \div b into an approximate problem a÷ba' \div b'.
First, round the divisor bb to the nearest ten to get bb'.
Then, find a compatible number aa' by choosing a multiple of bb' that is close to the original dividend aa.

Examples

Section 2

Using Estimation to Check Reasonableness

Property

To assess reasonableness, round the numbers in the problem to nearby, easy-to-work-with values. Then, perform the same two steps of the problem using these rounded numbers. The result of your estimation should be close to your calculated answer.

Examples

Book overview

Jump across lessons in the current chapter without opening the full course modal.

Continue this chapter

Chapter 5: Use Models and Strategies to Divide Whole Numbers

  1. Lesson 1

    Lesson 1: Use Patterns and Mental Math to Divide

  2. Lesson 2

    Lesson 2: Estimate Quotients with 2-Digit Divisors

  3. Lesson 3

    Lesson 3: Use Models and Properties to Divide With 2-Digit Divisors

  4. Lesson 4

    Lesson 4: Use Partial Quotients to Divide

  5. Lesson 5

    Lesson 5: Use Sharing to Divide: Two-Digit Divisors

  6. Lesson 6

    Lesson 6: Use Sharing to Divide: Greater Dividends

  7. Lesson 7Current

    Lesson 7: Choose a Strategy to Divide