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Divide & Conquer Digits!

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Lesson Plan

Divide & Conquer Digits!

Students will be able to confidently solve long division problems involving 2-digit divisors using a systematic approach.

Understanding long division with 2-digit divisors is crucial for tackling more complex mathematical problems and is a vital skill for real-world scenarios like budgeting and sharing resources equally.

Audience

5th Grade

Time

15 minutes

Approach

Direct instruction, guided practice, and independent application.

Materials

Whiteboard or projector, Markers/pens, Long Division Slide Deck, Practice Worksheet, and Answer Key

Prep

Teacher Preparation

5 minutes

Step 1

Introduction & Warm-Up

2 minutes

Begin by asking students: "When might you need to divide a large number by another number in real life?" (e.g., sharing candy, splitting costs). Introduce the challenge of dividing by bigger numbers, specifically 2-digit divisors. Briefly review the basic steps of long division (Divide, Multiply, Subtract, Bring Down - DMSB).

Step 2

Modeling with the Slide Deck

5 minutes

Use the Long Division Slide Deck to walk students through a complete example of long division with a 2-digit divisor. Emphasize estimating the quotient and the DMSB steps. Model thinking aloud and checking the work.

Step 3

Guided Practice

5 minutes

Present 1-2 problems from the Practice Worksheet for guided practice. Work through them together as a class, encouraging student participation at each step. Address common pitfalls and reinforce the process.

Step 4

Independent Practice & Wrap-Up

3 minutes

Assign the remaining problems on the Practice Worksheet for independent practice. Remind students to use the DMSB steps. Briefly summarize the key takeaways of dividing by 2-digit numbers and collect worksheets or instruct students to finish for homework. Highlight the importance of practice and precision.

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Slide Deck

Divide & Conquer Digits!

Tackling 2-Digit Divisors

  • Why is this important?
  • Real-life connections!
  • Let's make it easy!

Greet students and start with the warm-up question from the lesson plan: "When might you need to divide a large number by another number in real life?" Introduce the topic of dividing by two-digit numbers.

The Long Division Ladder: Steps to Success

Remember DMSB!

D - Divide: How many times does the divisor go into the current part of the dividend?
M - Multiply: Multiply the quotient digit by the divisor.
S - Subtract: Subtract the product from the current part of the dividend.
B - Bring Down: Bring down the next digit of the dividend.

Repeat until no digits are left!

Review the DMSB steps. This is a crucial foundation. You can use a simple example first, like 12 divided by 3, to refresh their memory before moving to 2-digit divisors.

Let's Practice! An Example

Example: 684 ÷ 12

  1. Estimate: How many 12s are in 68?
  2. Divide: Write the quotient digit above the 8.
  3. Multiply: Multiply that digit by 12.
  4. Subtract: Subtract from 68.
  5. Bring Down: Bring down the 4.

Repeat for the new number (44)!

  1. Estimate: How many 12s are in 44?
  2. Divide: Write the next quotient digit above the 4.
  3. Multiply: Multiply that digit by 12.
  4. Subtract: Subtract from 44.

What's left is your remainder!

Walk through a detailed example. For instance, 684 ÷ 12. Guide students through each DMSB step, emphasizing estimation for the 'Divide' step. Show them how to write the remainder or continue to decimals if appropriate for 5th grade (though for 15 minutes, focus on whole number quotients with remainders).

Your Turn to Conquer!

Practice Makes Perfect!

  • Use the Practice Worksheet to try it yourself.
  • Remember the DMSB steps.
  • Don't be afraid to estimate!

You've got this!

Introduce the worksheet and explain that practice is key. Encourage them to refer back to the DMSB steps and the example. Conclude by reiterating the main goal: mastering 2-digit division for future math success.

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Worksheet

Long Division Practice: 2-Digit Divisors

Name: _________________________ Date: _________________________

Instructions:

Solve each long division problem. Show all your work! Remember to use the DMSB steps: Divide, Multiply, Subtract, Bring Down.

Problem 1:

450 ÷ 18 = ?













Problem 2:

735 ÷ 21 = ?













Problem 3:

968 ÷ 22 = ?













Problem 4:

864 ÷ 24 = ?













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Answer Key

Answer Key: Long Division Practice

Instructions:

Review the step-by-step solutions for each problem. Pay attention to each stage of the DMSB process.

Problem 1: 450 ÷ 18

Step 1: Divide 45 by 18.

  • 18 goes into 45 two times (2 x 18 = 36).
  • Write 2 above the 5 in 450.

Step 2: Multiply 2 by 18.

  • 2 x 18 = 36

Step 3: Subtract 36 from 45.

  • 45 - 36 = 9

Step 4: Bring down the 0.

  • You now have 90.

Step 5: Divide 90 by 18.

  • 18 goes into 90 five times (5 x 18 = 90).
  • Write 5 above the 0 in 450.

Step 6: Multiply 5 by 18.

  • 5 x 18 = 90

Step 7: Subtract 90 from 90.

  • 90 - 90 = 0

Answer: 25

Problem 2: 735 ÷ 21

Step 1: Divide 73 by 21.

  • 21 goes into 73 three times (3 x 21 = 63).
  • Write 3 above the 3 in 735.

Step 2: Multiply 3 by 21.

  • 3 x 21 = 63

Step 3: Subtract 63 from 73.

  • 73 - 63 = 10

Step 4: Bring down the 5.

  • You now have 105.

Step 5: Divide 105 by 21.

  • 21 goes into 105 five times (5 x 21 = 105).
  • Write 5 above the 5 in 735.

Step 6: Multiply 5 by 21.

  • 5 x 21 = 105

Step 7: Subtract 105 from 105.

  • 105 - 105 = 0

Answer: 35

Problem 3: 968 ÷ 22

Step 1: Divide 96 by 22.

  • 22 goes into 96 four times (4 x 22 = 88).
  • Write 4 above the 6 in 968.

Step 2: Multiply 4 by 22.

  • 4 x 22 = 88

Step 3: Subtract 88 from 96.

  • 96 - 88 = 8

Step 4: Bring down the 8.

  • You now have 88.

Step 5: Divide 88 by 22.

  • 22 goes into 88 four times (4 x 22 = 88).
  • Write 4 above the 8 in 968.

Step 6: Multiply 4 by 22.

  • 4 x 22 = 88

Step 7: Subtract 88 from 88.

  • 88 - 88 = 0

Answer: 44

Problem 4: 864 ÷ 24

Step 1: Divide 86 by 24.

  • 24 goes into 86 three times (3 x 24 = 72).
  • Write 3 above the 6 in 864.

Step 2: Multiply 3 by 24.

  • 3 x 24 = 72

Step 3: Subtract 72 from 86.

  • 86 - 72 = 14

Step 4: Bring down the 4.

  • You now have 144.

Step 5: Divide 144 by 24.

  • 24 goes into 144 six times (6 x 24 = 144).
  • Write 6 above the 4 in 864.

Step 6: Multiply 6 by 24.

  • 6 x 24 = 144

Step 7: Subtract 144 from 144.

  • 144 - 144 = 0

Answer: 36

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Divide & Conquer Digits! • Lenny Learning