Mastering Long Division
This lesson introduces Year 6 students to the formal written method of long division. It focuses on dividing 3- and 4-digit numbers by 2-digit numbers, helping students build fluency with the 'Divide, Multiply, Subtract, Bring down' process.
Learning objectives
- Divide numbers up to 4 digits by a two-digit whole number using the formal written method of long division.
- Interpret remainders as whole number remainders, fractions, or by rounding, as appropriate for the context.
- Use estimation to check the reasonableness of answers.
Lesson plan (60 minutes)
Starter · 10 min
Introduction: Retrieval of multiplication facts and short division recap.
Teaching · 15 min
Direct instruction: Teacher models the formal method of long division using the 'DMSB' (Divide, Multiply, Subtract, Bring down) acronym.
Guided Practice · 10 min
Guided practice: Students work through three examples on mini-whiteboards with teacher support.
Independent Activity · 20 min
Independent practice: Students work on differentiated worksheets (Support, Core, or Stretch).
Plenary · 5 min
Plenary: 8-question multiple-choice quiz to assess learning.
Key vocabulary
- Dividend
- The number being divided.
- Divisor
- The number you are dividing by.
- Quotient
- The result of a division calculation.
- Remainder
- The amount 'left over' when a number cannot be divided exactly.
- Compatible Numbers
- Numbers that are easy to compute mentally, used for estimating.
Core worksheet (first questions)
- 360 ÷ 15 =
- 325 ÷ 25 =
- 336 ÷ 21 =
- 672 ÷ 32 =
Quiz (sample)
1. What is 465 ÷ 15?
- A. 21
- B. 31
- C. 32
- D. 41
2. What does the acronym DMSB stand for in long division?
- A. Divide, Minus, Share, Back
- B. Divide, Multiply, Subtract, Bring down
- C. Double, Multiple, Subtract, Borrow
- D. Divide, Move, Subtract, Bring down
3. Calculate 576 ÷ 12.
- A. 48
- B. 52
- C. 58
- D. 68
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