Halving Collections

Overview

This 10-minute session is designed for a Reception student to develop an early understanding of halves through practical exploration, in line with the Early Years Foundation Stage (EYFS) and the National Curriculum for England’s Mathematics programme of study for Reception. By engaging in hands-on activities with collections of objects, the child will build foundational skills in recognising, sharing, and halving quantities.

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National Curriculum Links

Mathematics – Number: Number and Place Value

• Early Learning Goal: Children count reliably with numbers from 1 to 20, place them in order and say which number is one more or one less than a given number.
• Develop fast recognition of up to 3 objects, without having to count them individually (subitising).
• Solve problems, including doubling, halving and sharing.

Mathematics – Numerical Patterns

• Recognise and create patterns in numbers and quantities.

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Learning Objectives

By the end of the session, the student will:

• Understand the concept of halving a collection of objects as sharing equally into two parts.
• Recognise when a collection can be split evenly or when one object remains.
• Use language associated with halving (e.g., “half,” “share,” “equal parts”).
• Begin to subitise small quantities and appreciate the relationship between whole and halves.

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Resources

• A small collection of 6 to 10 similar objects (e.g., counters, cubes, toy animals).
• Two clear trays or plates for sorting.
• Visual cue cards with half shapes and simple illustrations of halving.
• Number card showing the total number of objects.

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Lesson Structure

1. Introduction (2 minutes)

• Engage: Show the total collection to the student, e.g., 8 counters.
• Discuss: "Here we have 8 counters. Today, we’re going to share them into two smaller groups. This is called halving."
• Use fingers to model the number 8, then fold fingers to ‘split’ into two halves.

2. Main Activity (5 minutes)

• Practical Demonstration:
  Give the student the collection and two trays.
  Ask them, "Can you share these counters into two groups that are the same?"
• Encourage counting out loud as the child puts counters into each tray.
• Check equality: "Do both trays have the same number?" Count together to verify.
• Repeat with different totals (e.g., 6, 10).
• Introduce an odd number collection (e.g., 7) and explore what happens when trying to halve. Discuss “one left over” - an early recognition that some numbers can’t be halved equally with whole objects.

3. Language Focus (2 minutes)

• Use the visual cue cards to reinforce the vocabulary: half, equal, share, same, left over.
• Encourage the student to repeat sentences like "I shared 8 counters into two halves" or "Each tray has 4 counters."
• Highlight pairs or groups of objects visually or tangibly.

4. Assessment and Reflection (1 minute)

• Ask: “Can you show me half of this collection on your own?”
• Observe if the student shares the objects equally and uses the correct vocabulary.
• Provide positive reinforcement: “Great sharing! You found the two halves perfectly.”

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Additional Recommendations

• If the student masters halving with small numbers quickly, challenge by asking if they can halve a slightly bigger group (up to 12 objects).
• Use real-life examples in follow-up sessions, such as halving fruit or splitting snacks in half, to consolidate learning in everyday contexts.
• Incorporate digital tools or apps with touch manipulation for halving activities if accessible and age-appropriate.

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Notes for the Teacher

• Maintain a calm, encouraging tone to build confidence.
• Use concrete objects rather than abstract drawings at this stage.
• Always link back new concepts to prior learning about counting and sharing.
• Tailor follow-up questions to the child’s responses to deepen understanding.

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This plan fully aligns with the Reception goals of the National Curriculum, laying a clear foundation for numerical reasoning involving halving and sharing. The hands-on and language-rich approach fosters active engagement and supports individualised learning needs in a one-to-one setting.