Understanding Fractions

Lesson Overview

Unit: Fractions, Decimals, Percentages Unleashed
Lesson: 1 of 20
Grade Level: Year 6
Duration: 60 minutes
Curriculum Area: Western Australian Curriculum – Mathematics | Number and Algebra

• Specific Content Descriptor (WA Curriculum):
  • ACMNA102: Compare fractions with related denominators and locate and represent them on a number line.
  • ACMNA103: Solve problems involving addition and subtraction of fractions with the same or related denominators.

---

Lesson Objectives

By the end of this lesson, students will be able to:
✔️ Define and explain the concept of a fraction.
✔️ Identify and differentiate between proper, improper, and mixed number fractions.
✔️ Represent fractions visually using fraction bars, number lines, and diagrams.
✔️ Explain real-world applications of fractions.

---

Resources & Materials

• Fraction Bars (printed or physical manipulatives)
• Whiteboard markers & whiteboard
• A3 Paper & coloured pencils
• Magnetic fraction tiles (if available)
• Mini whiteboards for student participation
• Fraction flashcards

---

Lesson Structure

1. Warm-Up Activity (10 mins) – Fraction Hunt

Objective: Activate prior knowledge and introduce the concept of fractions in everyday contexts.

Activity:

• Teacher writes "FRACTIONS" in the middle of the board.
• Students brainstorm where they have seen "fractions" used in real life (e.g. pizza slices, measuring cups, time, sports scores).
• Teacher facilitates a discussion on what fractions mean and why they are important.
• Introduce the learning intention and success criteria for the lesson.

---

2. Explicit Teaching (15 mins) – Understanding Fractions

Objective: Introduce the concept of fractions using real-world examples and visual models.

Teacher Explanation & Modelling:

• Define fractions: "A fraction represents a part of a whole" (write on board).
• Introduce vocabulary: numerator, denominator, and fraction bar.
• Show examples using fraction tiles and draw fraction circles on the board.
• Differentiate between:
  • Proper fractions (where the numerator is smaller than the denominator, e.g. 3/4).
  • Improper fractions (where the numerator is equal to or greater than the denominator, e.g. 7/4).
  • Mixed numbers (a whole number and a fraction, e.g. 1 ¾).

Guided Practice (Visual Representation):

• Teacher draws a pizza divided into 8 parts and colours in 5 slices.
• Ask, "How can we write this as a fraction?" (Students respond: 5/8).
• Do the same with improper and mixed fractions, engaging students in discussion.

---

3. Hands-On Activity (20 mins) – Fraction Sorting & Number Line Challenge

Objective: Allow students to physically manipulate fractions and develop a deeper understanding.

Activity 1: Fraction Sorting (10 mins)

• Each pair of students receives a set of fraction flashcards with various proper, improper, and mixed fractions.
• They categorise the fractions into Proper, Improper, and Mixed Numbers using labelled mats.
• Once sorted, they explain their choices to a partner.

Activity 2: Fraction Number Line (10 mins)

• Teacher draws a large number line on the board (0 to 2).
• Students receive fraction cards and must place them in the correct position on the number line.
• Quick discussion: How do we know where to place each fraction?

---

4. Reflection & Wrap-Up (10 mins) – Fraction Art Challenge

Objective: Reinforce learning through creativity and reflection.

• Each student creates their own Fraction Art Picture by colouring a design in fractional parts (e.g. ½ of the drawing is blue, ⅓ is red).
• Underneath, they write the fractions they used in their design.
• Brief gallery walk – students view their peers' work and discuss their fraction choices.
• Exit Ticket: Students write a response to "One thing I learnt today about fractions is…"

---

Differentiation Strategies

✅ For struggling students: Use fraction tiles and colour visual aids to show concepts in multiple ways. Provide extra guided examples.
✅ For advanced learners: Challenge them to convert improper fractions to mixed numbers and vice versa. Introduce equivalent fractions briefly.
✅ For EAL/D students: Use picture representations and hands-on activities for better understanding. Pair them with a supportive peer.

---

Assessment & Homework

✅ Formative Assessment:

• Teacher observation during discussions and activities.
• Exit Ticket responses.
• Student explanations in sorting activity.

✅ Homework (Optional for extra practice):

• Find three real-life examples of fractions at home (e.g. in food, measurements, or games) and write them as fractions.

---

Teacher Reflection (Post-Lesson)

• Did students grasp the difference between proper, improper, and mixed fractions?
• Were students engaged with hands-on activities?
• Did students successfully place fractions on the number line?

---

Extension for Next Lesson:

Next lesson, students will explore equivalent fractions and simplification using models and real-world contexts.

---

🌟 Teacher's Note: This lesson focuses on interactive and engaging activities to lay a solid foundation for fractions. By keeping it hands-on and linked to real-world examples, students will see the relevance of fractions in their daily lives. Happy teaching! 🚀