Recognising Simple Fractions

Lesson Overview

Duration: 50 minutes
Class size: 12 students
Subject: Functional Skills Maths (Entry Level / Level 1)
UK National Curriculum Alignment:

• Year 8 Programme of Study for Mathematics
• Number – Fractions (National Curriculum KS3)
• Functional Skills Maths Level 1: Understand and work with fractions as parts of a whole

---

Learning Objectives (WALT)

• WALT: Recognise and find simple fractions (halves, quarters, and tenths) of whole numbers
• Understand how to represent fractions visually and numerically
• Apply knowledge of fractions in practical contexts

National Curriculum References:

• Use common factors to simplify fractions; use common multiples to express fractions in the same denomination
• Recognise and show, using diagrams, families of common equivalent fractions
• Solve problems involving fractions to calculate quantities, including non-unit fractions where the answer is a whole number

---

Success Criteria

• I can identify halves, quarters, and tenths as fractions of a whole number
• I can represent fractions visually using diagrams or bar models
• I can calculate simple fractions of given whole numbers accurately
• I can explain my reasoning when finding fractions of quantities

---

Resources

• PowerPoint presentation (slides with visuals, examples, and activities)
• Worksheet featuring differentiated problems and visual fraction tasks
• Challenge activity for advanced learners (extension task with problem-solving)
• Whiteboard and markers
• Counters or fraction circles for hands-on manipulation

---

Lesson Structure

1. Starter (5 minutes)

Objective: Engage students and activate prior knowledge about fractions.

• Quick question: “What do you know about halves, quarters, and tenths?”
• Show a visual of a pizza divided into 2, 4, and 10 slices.
• Ask students to discuss with a partner what half, quarter, and tenth mean in this context.

2. Introduction & Direct Teaching (10 minutes)

Objective: Introduce recognising simple fractions of whole numbers.

• Use the PowerPoint to explain:
  • What fractions are: parts of a whole
  • How halves, quarters, and tenths are represented (1/2, 1/4, 1/10)
  • Use diagrams (bars/pies) to show these fractions.
• Examples: Find 1/2, 1/4, and 1/10 of numbers like 20, 40, and 50.
• Demonstrate methods: dividing the whole number by denominator; multiplication by the fraction numerator.

3. Guided Practice (15 minutes)

Objective: Practise recognising and calculating simple fractions.

• Use the worksheet with varied tasks:
  • Identifying fractions from shaded parts of a whole
  • Calculating halves, quarters, and tenths of given numbers
  • Real-life contexts (e.g., “A packet has 40 sweets. What is 1/4 of the sweets?”)
• Teacher circulates to support and scaffold as necessary.

4. Independent or Paired Work (10 minutes)

Objective: Consolidate learning and apply in different contexts.

• Students complete fraction problems independently or in pairs.
• Challenge: Find fractions in word problems, e.g., “If you read 1/2 of 60 pages, how many pages have you read?”
• Use fraction manipulatives as required for kinaesthetic learners.

5. Challenge / Extension (5 minutes)

Objective: Stretch advanced learners with higher-order thinking tasks.

• Extension task on worksheet:
  • “Find 3/4 of 40 and explain why you can multiply the whole number by 3/4.”
  • Problem requiring converting mixed numbers or working with multiple fractions combined.
• Encourage explanation and justification.

6. Plenary & Review (5 minutes)

Objective: Reflect on learning and assess understanding.

• Discuss answers and methods as a group.
• Quick quiz on the board: show number (e.g., 80), ask “What is 1/2? What is 1/10?”
• Use thumbs up/down: “Do you feel confident to find these fractions now?”

---

Differentiation Strategies

• Support: Use visual aids, fraction circles, and one-to-one support for learners struggling with abstract concepts.
• Extension: Provide reasoning and problem-solving tasks for higher-attaining students to deepen understanding.
• Communication: Use clear, simple language and repeat/explain key vocabulary (denominator, numerator, fraction).
• Pair Work: Mixed ability pairings encourage peer support and confidence building.

---

Assessment for Learning

• Informal assessment through questioning during guided practice.
• Mark worksheet tasks to monitor understanding; provide immediate feedback.
• Plenary quiz checks for conceptual grasp.
• Extension task to identify advanced learner progress.

---

Lesson Materials Description

PowerPoint Outline

• Slide 1: WALT and Learning Objectives
• Slide 2: What is a fraction? Visual introduction
• Slide 3: Demonstration of halves, quarters, and tenths using diagrams
• Slide 4: Examples calculating fractions of whole numbers
• Slide 5: Real-life examples
• Slide 6-8: Guided practice exercises with answers
• Slide 9: Challenge task explanation
• Slide 10: Summary and key vocabulary
• Slide 11: Plenary quiz question prompts

Worksheet Content

Section A: Visual recognition – Shade parts to show halves, quarters, tenths.
Section B: Calculation – Find 1/2, 1/4, 1/10 of whole numbers provided.
Section C: Word problems – Simple fraction problems in everyday contexts.
Section D: Challenge – Find 3/4, explain multiplication of fractions with examples.

---

This detailed, functional lesson plan provides a clear pathway from understanding and identifying fractions through calculation and real-world application, fully aligned with the National Curriculum and Functional Skills requirements. It offers practical, engaging activities tailored to a small class size and diverse learner needs.