Number Mastery Block

Overview

A 45-minute lesson designed for mixed Year 3 and Year 4 students, focusing on foundational number sense skills to bridge gaps from missed earlier learning. The lesson aligns with the Mathematics National Curriculum for England, specifically aiming to develop fluency in addition and subtraction within 100, and understanding place value of two-digit numbers.

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Curriculum Links

• Number – Number and Place Value (Year 3 & 4)

  • Year 3: Pupils should be taught to count from 0 in multiples of 4, 8, 50 and 100; recognise place value in 3-digit numbers.
  • Year 4: Pupils should be able to count in multiples of 6, 7, 9, 25, and 1,000; recognise place value in 4-digit numbers and beyond.

• Number – Addition and Subtraction (Year 3 & 4)

  • Add and subtract numbers mentally, including:
    • Year 3: a 3-digit number and ones, tens, and hundreds.
    • Year 4: two 4-digit numbers.
  • Solve problems, including missing number problems, using number facts, place value, and more complex addition and subtraction.

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Learning Objectives (WALT)

• WALT:
  • Recognise and represent numbers to 100 using tens and ones.
  • Use place value to add and subtract numbers within 100 confidently.
  • Solve addition and subtraction problems using known number facts and strategies.

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Success Criteria

I can:

• Correctly identify tens and ones in two-digit numbers.
• Add and subtract numbers mentally using number bonds within 100.
• Explain my reasoning using place value language.
• Show working methods clearly.

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Resources

• Printed number cards (0-9)
• Place value charts (dyslexia-friendly font, coloured overlays optional)
• Whiteboards and marker pens
• Speedy Calculations worksheet (adapted from Task 3.pdf)
• Represent Numbers to 100 worksheet (adapted from Task 4.pdf)

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Lesson Structure (45 minutes)

1. Task 1: Representing Numbers to 100 (10 minutes)

Activity:

• Model matching number representations to the corresponding two-digit numbers using physical cards and place value charts.
• Teacher models identifying tens and ones visually with concrete materials.
• Use examples from Task 4.pdf to show tens/ones decomposition.

Teacher modelling:

• Demonstrate “I have 6 tens and 3 ones. What number is this?” — show 63 on chart and digit cards.
• Use visual aids and verbal explanation.

Differentiation:

• Support: Use physical counters/manipulatives on tens and ones frames.
• Challenge: Create own numbers and represent them in three different ways (digits, words, pictures).

Dyslexia-friendly tip:

• Use sans-serif font on worksheets, highlight tens and ones with consistent colour.

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2. Task 2: Mental Addition and Subtraction within 100 (10 minutes)

Activity:

• Use the Speedy Calculations sheet (Task 3.pdf) as a timed group challenge.
• Teacher demonstrates strategies to add/subtract mentally using number bonds (e.g., 20 - 7 = 13).
• Model working out using number line or tens frames on whiteboard.

Modelling:

• "I know 7 + 8 is 15 because 7 + 3 = 10 and 10 + 5 = 15."
• Show subtraction by counting back tens and ones.

Differentiation:

• Support: Practice with number bond posters and verbal prompts.
• Challenge: Create own calculation challenges using larger numbers up to 100.

Dyslexia-friendly tip:

• Present calculations spaced out, with clear font and avoid crowding the page.

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3. Task 3: Applying Place Value to Problem Solving (10 minutes)

Activity:

• Model solving missing number problems using place value insight from Task 4.pdf.
• "Hari says this image represents 76. Is he correct? Why or why not?"
• Work through explanation together, encouraging use of 'tens' and 'ones' vocabulary.

Teacher modelling:

• Write down the tens and ones visible.
• Show how to check by counting tens and ones.

Differentiation:

• Support: Use physical counters for tens and ones to build numbers.
• Challenge: Extend to three-digit problem-solving or create own 'odd one out' tasks.

Dyslexia-friendly tip:

• Provide sentence starters and visual prompts for explanations.

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4. Task 4: Independent or Paired Practice (10 minutes)

Activity:

• Students complete a mixed worksheet combining addition/subtraction within 100 and place value representation.
• Teacher circulates to model problem-solving as needed.

Extension:

• For higher-attainers, challenge to represent numbers using different methods (e.g. number lines, coins, tens frames).

Differentiation:

• Support: Provide partially completed examples.
• Challenge: Encourage explanation in full sentences and justify answers.

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5. Plenary & Assessment (5 minutes)

Activity:

• Quick-fire oral quiz: Teacher shows number cards and asks "How many tens? How many ones? What is the number?"
• Reflect on the success criteria.
• Peer assess with thumbs up/down as they explain answers.

Assess:

• Use observation notes on students' verbal explanations and confidence with place value.
• Note fluency in mental addition/subtraction.

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Differentiation Summary

Group	Strategies
Low Attainers	Manipulatives, visual aids, peer support, verbal scaffolding, simplified tasks with number bonds
Average Attainers	Concrete-pictorial-abstract approach, scaffolded worksheets, guided practice
High Attainers	Extension problems with 3-digit numbers, create own challenges, explain strategies orally/writing

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Extensions for Advanced Learners

• Create own number puzzles using tens and ones.
• Explore addition and subtraction using 3-digit and simple 4-digit numbers.
• Model and explain alternative mental calculation strategies (e.g., rounding and adjusting).

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Final Notes

• Encourage a growth mindset by praising efforts and strategies over just answers.
• Incorporate movement for kinesthetic learners (e.g., physically grouping counters representing tens and ones).
• Use consistent, clear language per national curriculum guidance.
• Maintain accessibility with dyslexia-friendly fonts and task chunking.

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This lesson offers a multisensory, scaffolded approach for building essential number sense as per the National Curriculum, tailored neatly for mixed attainment Year 3 and 4 students, supporting catch-up and confidence building simultaneously.