Grid Multiplication Mastery

Learning Objectives

By the end of the lesson, pupils will:

• Understand and accurately use the grid method to multiply 3-digit numbers by 1- or 2-digit numbers.
• Apply place value knowledge to partition numbers effectively within the grid method framework.
• Justify the steps taken and explain how multiplication is structured within the grid method.
• Solve increasingly complex multiplication problems involving larger numbers using this method.

National Curriculum Reference:

• Mathematics Programme of Study (Year 4) – Number: Multiplication and Division

  • "Multiply two-digit and three-digit numbers by a one-digit number using formal written layout"
  • "Use place value, known and derived facts to multiply mentally, including: multiplying by 10 and 100"

• White Rose Maths Scheme

  • Block: Multiplication and Division, Summer Term, Week 6/7

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Success Criteria

• I can partition 3-digit numbers into hundreds, tens, and ones correctly.
• I can set out my grid method neatly and multiply each partition by the single-digit or two-digit number.
• I can add the partial products accurately to find the final answer.
• I can explain the steps I took and why each part of the process works.
• I can identify and correct mistakes in my own and others’ work using the grid method.

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Lesson Structure (45 minutes)

1. Introduction & Engagement (10 minutes)

Hook:
Present this real-world scenario aloud:
"Imagine you run a small cake shop and you need to find out how many cupcakes to prepare if you bake 243 cupcakes each day for 7 days. How can you work this out without counting each cake one by one?"

Engaging Question:

• "What methods can we use to calculate this quickly and accurately?"

Use their ideas to introduce grid method as an organised approach breaking the problem into smaller parts.

Questioning (Bloom’s Taxonomy applied):

• Remembering: "What do you already know about multiplying numbers?"
• Understanding: "Why do you think splitting numbers into hundreds, tens, and ones might help us multiply easier?"
• Applying: "How would you multiply 240 by 7 before learning this method?"
• Analysing: "If you multiply in parts, how do you think adding the parts back together helps?"
• Evaluating: "Can you explain why the grid method might be better than doing it all in one go?"
• Creating: "How would you show your method to explain it to a friend who’s never heard of the grid method?"

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2. Modelling & Guided Practice (15 minutes)

Modelling:

• Use a visual board/grid and walk through multiplying 243 × 7.
• Partition: 200, 40, 3
• Multiply each by 7: 200 × 7, 40 × 7, 3 × 7
• Show the grid with columns and rows clearly labelled.
• Add the partial products: 1400 + 280 + 21 = 1701
• Explain place value importance and careful addition.

AfL (Assessment for Learning) Suggestions:

• During partitioning: Ask pupils to come to the board and explain how they would partition a given number.
• During multiplication steps: Use mini whiteboards for pupils to calculate partial products independently and show answers.
• After adding partial products: Use thumbs up/down to gauge confidence and understanding, then address errors immediately.

Common Misconceptions:

• Mixing column values (e.g., multiplying tens by tens instead of tens by single digit).
• Forgetting to add partial products properly.
• Misunderstanding place value when partitioning three-digit numbers (confusing 43 for 400 + 30).
• Multiplying all numbers together at once instead of separately multiplying each partition.

Use Targeted Layered Questions:

• "Why is it important to multiply each part separately rather than all at once?"
• "What could go wrong if we forget to multiply the tens by the single digit?"
• "If you got a final answer that’s smaller than one of your partial products, what might have happened?"
• "Can you describe how the size of the numbers affects the multiplication process?"

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3. Independent Activity (Tasks Increasing in Complexity) (15 minutes)

Task 1 (Simple): Multiply 312 × 6 using the grid method with support available.

• Pupils partition the number and complete the grid; teacher monitors process and questioning.

Task 2 (Moderate): Multiply 245 × 13

• Now multiply a 3-digit number by a 2-digit number (partition 13 as 10 + 3).
• Pupils build a 3 × 2 grid, practice multiplying and adding partial products.

Task 3 (Challenging - Problem Solving):

• "You have 134 packets with 12 pens in each. How many pens are there in total?"
• Pupils apply grid method and then explain their reasoning in writing or talk partner.

AfL in This Stage:

• Circulate and ask pupils to explain their thinking out loud.
• Use short reflective questions: "What steps did you find tricky? How did you solve them?"
• Spot misunderstood partitions or errors in addition and address individually or in groups.

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4. Plenary (5 minutes)

• Choose a pupil volunteer to show their grid method for 376 × 9 on the board.
• Pose reflective questions to class:
  • "What part of the multiplication was easiest to understand?"
  • "Why do you think the grid method works?"
  • "How could we use this method to multiply numbers even bigger than 3 digits?"
• Reinforce success criteria by checking who can tick each point.
• Use ‘exit ticket’ style quick question: "Explain in one sentence why partitioning numbers helps with multiplication."

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Additional Teacher Notes

• Resources Needed:

  • Whiteboard and pens
  • Individual mini whiteboards
  • Grid method templates/worksheets
  • Counters or base ten blocks for visual support if needed

• Differentiation:

  • Support less confident pupils with partitioning guided sheets and 1-digit multipliers.
  • Challenge more able pupils with 3-digit × 2-digit multiplication and problem-solving questions requiring reasoning.

• Cross-Curricular Links:

  • Real-life context can connect to literacy (explanation writing), and science (calculations in experiments or measurements).

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This lesson plan confidently aligns with the national curriculum requirements for Year 4 multiplication, incorporates White Rose pedagogy, and challenges learners to deepen mathematical understanding through structured scaffolding, discussion, and reflective questioning.