Overview

Duration: 30 minutes
Class Size: 30 students
Year Group: 4
Curriculum Link: Mathematics - Number - Multiplication and Division
National Curriculum Reference:

• Key Stage 2, Year 4 Programme of Study: "Recall multiplication and division facts for multiplication tables up to 12 × 12."
• "Use place value, known and derived facts to multiply and divide mentally, including: multiplying by 0 and 1; dividing by 1; multiplying together three numbers."
• Focus on counting in multiples (multiplication tables) as foundation.

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Learning Objectives

By the end of this lesson, pupils will be able to:

• Count confidently in 9s up to 12 × 9 (i.e., 108).
• Recognise patterns and relationships in the 9 times table.
• Explain their reasoning when counting in multiples of 9.
• Use mental strategies to find multiples of 9 efficiently.

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Success Criteria

Pupils will:

• Accurately count forwards and backwards in 9s up to 108.
• Identify and describe the pattern in the digits of multiples of 9 (e.g., the digit sum equals 9).
• Justify their answers using number patterns or mental calculation strategies.
• Demonstrate improved confidence when tackling multiplication and division facts involving 9.

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Resources Needed

• Whiteboard and markers
• Number cards (multiples of 9 from 9 to 108)
• Mini whiteboards and pens for pupils
• Visual aid displaying 9 times table
• Place value counters or base 10 blocks (optional)
• Chart of digit sums for multiples of 9

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Lesson Structure

1. Introduction (5 minutes)

Engaging Starter:

• Start with an interactive “9’s team cheer”: call out multiples of 9 and pupils respond with “Nii-iine!” to energise.
• Show a quick video clip or a rhythmic chant counting in 9s (if accessible) to hook interest.
• Ask: “What do you notice about counting in 9s? Are multiples of 9 similar to other times tables you know?”

Targeted Whole-Class Questions:

• “Who can explain how we get from 9 to 18?” (Apply and explain)
• “Why does adding 9 ten times get us 90 exactly? How does place value help you see this?” (Analyse)
• “Can someone predict what the next number will be after 54? Explain your reasoning.” (Apply and evaluate)

AfL Point:

• Use mini whiteboards: pupils show the next multiple of 9 after a given number. Teacher observes instantly who needs support.

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2. Teaching and Modelling (15 minutes)

Step 1: Pattern Spotting with Multiples of 9

• Display multiples of 9 on the board: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108.
• Ask: “What patterns do you notice?” Guide pupils toward:
  • The digits add up to 9 (e.g., 27 → 2+7=9)
  • The tens digit increases by 1 while the units digit decreases by 1.

Targeted Question:

• “Why do you think the digits of each multiple of 9 add up to 9? Can someone explain using what they know about numbers?” (Analyse / Evaluate)

Step 2: Mental Calculation Strategy

• Demonstrate how to count in 9s by adding 10 then subtracting 1. For example, 27 + 9 = (27 + 10) - 1 = 36.
• Model this on the board with verbal explanation.

AfL Point:

• Ask individuals to explain the mental strategy aloud while the rest jot down their own explanation on mini whiteboards to check understanding.

Step 3: Backwards Counting and Using Division

• Practice counting backwards in 9s from 108 down to 9.
• Ask: “If 54 ÷ 9 = ?, how can knowing the 9 times table help here?”
• Encourage pupils to use reasoning and relate division to multiplication facts.

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3. Independent and Paired Practice (5 minutes)

• Pupils work in pairs with number cards to arrange multiples of 9 in order.
• Challenge pairs to explain the pattern they see while ordering.
• Circulate and ask "How do you know this number comes next?” or “Could there be more than one way to find the next multiple? Explain.”

AfL Point:

• Listen for reasoning and misconceptions during paired work; prompt pupils who struggle.

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4. Plenary (5 minutes)

Activity: "Explain Your Thinking" Round Robin

• Randomly select 4-5 pupils to explain to the class a strategy they used or a pattern they noticed.
• Ask probing questions like:
  • “Can you think of another way to count in 9s?”
  • “Why is understanding the 9 times table useful in everyday maths?”
  • “How can we check if a number is a multiple of 9 quickly?”

Final Whole Class Question Using Bloom’s Taxonomy:

• Evaluate: “If you had to teach someone how to count in 9s, what would you tell them? Why is counting in 9s sometimes tricky?”

Plenary AfL:

• Use thumbs up/down to gauge confidence with counting in 9s. Note those needing additional support in future lessons.

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Common Misconceptions and Areas of Difficulty

• Confusing multiples of 9 with multiples of 10 or other numbers.
• Difficulty understanding the digit sum pattern or dismissing it as coincidence.
• Struggling to apply subtraction of 1 after adding 10 in mental strategies (losing track of the two-step process).
• Forgetting the backward counting sequence or mixing it with other tables.
• Thinking counting in 9s only involves rote memorisation, not recognising the underlying patterns or reasoning.

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Differentiation

• Support: Use physical counters/place value blocks to represent adding 9 concretely.
• Challenge: Encourage pupils to explore relationships between 9 times table and 3 times table or other multiples.

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Alignment with White Rose Maths Scheme

• This lesson aligns with White Rose Step 3, Week 3-4: Multiplication and Division facts – counting in multiples and recognising patterns in times tables. The focus on understanding and reasoning matches the White Rose emphasis on fluency, reasoning, and problem-solving.

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Summary

This 30-minute lesson combines active engagement, pattern exploration, mental strategies, and reflective reasoning to deepen pupils’ understanding of counting in 9s. It encourages class participation, justification of ideas, and continuous assessment of understanding through targeted questions and mini whiteboard work—all grounded in the National Curriculum and White Rose guidance for Year 4 pupils.