Exploring Fractions

Overview

This 50-minute lesson is the second in a 7-lesson series on fractions tailored for 7–9-year-old students following the IE Curriculum framework. It aims to deepen students' conceptual understanding of fractions as equal parts of a whole through interactive, hands-on activities and guided teacher explanations.

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Learning Objectives

By the end of this lesson, students will:

• Understand that a fraction represents equal parts of a whole.
• Identify and represent fractions using visual models (IE Curriculum, Strand: Number, Sub-strand: Fractions and Decimals, Learning Objective: 2NF1).
• Use language to describe fractions, emphasising numerator and denominator.
• Develop foundational skills to compare simple fractions based on size.

Competencies Addressed:

• Mathematical understanding and fluency
• Communication and reasoning in mathematics
• Problem-solving through visual and interactive learning

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Curriculum Links

• Strand: Number
• Sub-strand: Fractions and Decimals
• Learning Outcome: Recognise and understand fractions as parts of a whole, describe equal sharing scenarios, and represent fractions visually.

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Lesson Structure (50 minutes)

1. Introduction to Fractions (10 mins)

Teacher Explanation:

• Begin by recapping what a ‘whole’ means in maths. Use an apple or a paper circle to represent a whole object.
• Introduce the concept of splitting the whole into equal parts. Show physical models (e.g., partition a paper circle into halves and quarters). Explain that each part is called a fraction of the whole.
• Define numerator (number of parts taken) and denominator (total number of equal parts). Emphasise equal-sized parts.

Interaction:

• Ask children to show “half” using their hands by folding fingers or using gestures.
• Use simple relatable examples: "If I cut this chocolate bar into 4 equal parts and eat 1, what fraction did I eat?"

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2. Visual Fractions Activity: Fraction Circles (15 mins)

Materials: Pre-cut coloured fraction circles (halves, thirds, quarters) for each student or pair.

Activity Instructions:

• Distribute fraction circles and ask students to physically combine pieces to make a whole.
• Call out fractions and have students show the correct pieces (e.g., "Show me 3 quarters").
• Challenge students to find different ways to make a whole using combination of circles (e.g., 2 quarters + 2 quarters = 1 whole).
• Encourage discussion on why some combinations do or do not make a whole.

Teacher Role:

• Circulate and ask guiding questions: "How many equal parts is your circle divided into? What do those parts represent? Can you write the fraction as a number sentence?"

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3. Interactive Story Problem (10 mins)

Teacher Explanation:

• Present a story involving sharing equal parts, e.g., “A pizza is cut into 4 equal slices. If Tim eats 1 slice, what fraction of the pizza did he eat?”

Class Activity:

• Use a large illustrated pizza on the board or projector. Ask students to physically place a marker or coloured token on the eaten slice.
• Have pairs discuss other ways the pizza could be shared equally, reinforcing the idea of equal parts and fractions.
• Invite students to come up and indicate the fraction on the visual model.

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4. Reflective Group Discussion & Language Focus (10 mins)

• Engage students with questions to verbalise their understanding:

  • "What do the top and bottom numbers of a fraction tell us?"
  • "How do we know if parts are equal?"
  • "Can you think of other things that can be shared in equal parts?"

• Write their responses on the board to create a “Fraction Language Wall” for the unit.

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5. Quick Individual Assessment & Plenary (5 mins)

Assessment Activity:

• Provide simple printed fraction cards (e.g., halves, thirds, quarters) and ask students to match these cards to objects or pictures around the room that represent those fractions.
• Circulate to observe understanding and provide instant verbal feedback.

Plenary:

• Summarise key points: fractions are equal parts of a whole; numerator = parts counted; denominator = total parts; fractions represent real-world sharing.
• Preview next lesson focus: comparing fractions with the same denominator.

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Differentiation

• Support: Use larger fraction circles and one-on-one verbal questioning for those needing extra help.
• Extension: Challenge confident students to create fraction sums (e.g., 1/4 + 1/4 = ?) using their circles.

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Materials Required

• Paper circles (whole and fractioned)
• Coloured fraction circle cut-outs (halves, thirds, quarters)
• Illustrated pizza or large fraction diagram on board/projector
• Printed fraction cards (halves, thirds, quarters)
• Coloured tokens or markers for story problem

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Teacher Reflection Notes

• Observe students’ ability to identify equal parts and their use of fraction language.
• Note those who struggle with conceptualising equal parts for targeted support.
• Plan to revisit any misconceptions related to partitioning unequal parts.

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This lesson combines tactile learning, visual aids, story contexts, and reflective dialogue aligned with the Irish Curriculum framework for Number and Fractions. It supports children in confidently recognising, naming, and representing simple fractions — foundational skills for later fraction comparison and operations.