Column Multiplication One Digit

Overview

This 60-minute lesson focuses on teaching Year 4 students how to multiply a two- or three-digit number by a one-digit number using the formal written method of column multiplication. The lesson aligns with the National Curriculum for England for Year 4 Maths, focusing on multiplication methods.

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National Curriculum Links

Key Learning Objective from Year 4 Programme of Study (Mathematics - Number - Multiplication and Division)

• Use formal written methods of columnar multiplication for multiplying a two- or three-digit number by a one-digit number
• Recall multiplication facts up to 12 × 12 fluently
• Develop efficient written methods to calculate products involving larger numbers.

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Learning Objectives (WALT)

• WALT: Use column multiplication to multiply a two- or three-digit number by a one-digit number accurately.
• WALT: Understand the value of place in multiplication and carry digits correctly.
• WALT: Apply column multiplication to solve real-world problems.

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Success Criteria

• Multiply units, tens, and hundreds separately using the column method.
• Correctly write and carry digits between columns.
• Record multiplication steps clearly in column format.
• Solve at least three different multiplication problems correctly using the method.
• Explain the steps and reasoning behind column multiplication.

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Resources

• Whiteboard and markers
• Base-10 blocks or place value counters (for visual aid)
• Student multiplication grids (1-12)
• Worksheet with column multiplication exercises
• Mini whiteboards for individual work
• Real-life word problem cards

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Lesson Structure

0-10 mins: Introduction & Recap

• Begin with a quick oral and written recap of times tables up to 12 x 12.
• Use flashcards or a quick game to warm up multiplication facts (teacher to assess fluency informally).
• Introduce the lesson by explaining the need for column multiplication when numbers are too large for mental calculation.

10-25 mins: Modelling Column Multiplication

• Demonstrate step-by-step how to multiply a two-digit number by a one-digit number using the column method on the whiteboard.
• Example: Multiply 36 × 4
• Show how to multiply the units first, then the tens, including carrying digits over to the next column.
• Use base-10 blocks or place value counters physically to support conceptual understanding.
• Emphasise the importance of place value at each step.

25-40 mins: Guided Practice

• Give the student a set of three multiplication problems (e.g., 47 × 3, 58 × 6, 73 × 5).
• Support the student through working the problems, scaffolding as necessary.
• Encourage the use of mini whiteboards for immediate feedback.
• Correct misconceptions and remind the student to check their work.
• Use questioning to deepen understanding:
  • “Why did we carry over here?”
  • “What does this digit represent?”

40-50 mins: Independent Practice & Application

• Student works independently on a worksheet that includes:
  • Column multiplication problems multiplying two- and three-digit numbers by a single digit.
  • Problem-solving word problems involving column multiplication contextualised in real life (e.g., calculating total cost of multiple items).

50-55 mins: Differentiation and Extension

• Differentiation for learners needing support:

  • Use concrete manipulatives (e.g., base-10 blocks) to visualise the multiplication process.
  • Provide partially completed column layouts to reduce cognitive load.
  • Encourage verbal explanation of each step to reinforce understanding.

• Extension for advanced learners:

  • Introduce multiplying three-digit numbers by a one-digit number (e.g., 146 × 7).
  • Challenge with missing digit problems (e.g., 2_5 × 4 = ?).
  • Encourage creating their own real-life problems requiring column multiplication.

55-60 mins: Plenary and Assessment

• Review key points by asking the student to explain the steps aloud.
• Use a quick quiz: oral questions multiplying two-digit numbers by one digit without showing the method, to assess recall and understanding.
• Provide immediate verbal feedback and celebrate achievements.
• Set a small personal target for improvement or practise (e.g., "Next time, I will remember to carry over correctly").

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Assessment

• Ongoing teacher observation during guided and independent tasks with verbal feedback.
• Check accuracy on worksheet problems.
• Use plenary questioning to assess conceptual understanding and ability to articulate the method.
• Use mini whiteboards during practice for formative assessment.

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Additional Notes for Teachers

• Emphasise place value language throughout (units, tens, hundreds).
• Encourage student to estimate an answer before and after calculation to check for reasonableness.
• Remind to keep neat column alignment to avoid confusion.

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This structured lesson plan carefully scaffolds the learning of column multiplication by one digit, building fluency and conceptual understanding as per the National Curriculum for Year 4 in England. It includes differentiation and extension tasks to support a range of learners, making it suitable for a functional maths skills environment.