Exploring Equal Parts

Lesson Overview

Subject: Mathematics
Year Group: Year 3
Lesson Duration: 60 minutes
Unit: Fraction Fun Adventures (Lesson 2 of 9)
Curriculum Area: Number – Fractions
Curriculum Reference: National Curriculum in England – Year 3

• Recognise, find and write fractions of a discrete set of objects: unit fractions and non-unit fractions with small denominators.
• Recognise and use fractions as numbers: unit fractions and non-unit fractions with small denominators.

Lesson Objectives

By the end of the lesson, the student will be able to:
✅ Understand that fractions represent equal parts of a whole.
✅ Identify and create halves, thirds, and fourths.
✅ Compare and discuss different ways of partitioning a shape into equal parts.

Resources Needed

• Circular and rectangular paper cut-outs
• Fraction strips or bars
• Coloured pencils or markers
• Small counters or buttons
• A4 whiteboard and pen
• Scissors and glue

Lesson Structure

1. Introduction (10 minutes) – Engaging the Student

Hook: Start with a real-world example. Ask the student:
"If we were to share a pizza between two people, what would that look like? What if we shared it among three or four people?"

Show a paper circle representing a pizza. Cut it into two equal parts (halves) and then into three and four parts (thirds and fourths). Discuss how each person still gets a fair share.

Key Question: What does "equal parts" mean?

Write the word "equal" on the whiteboard and briefly explain that when we divide something into fractions, every piece must be the same size.

2. Exploring Halves, Thirds, and Fourths (15 minutes) – Hands-on Learning

💡 Activity 1: Paper Folding Challenge

• Give the student a circular and rectangular piece of paper.
• Ask them to fold the circle into two equal parts and shade one half. Then do the same with three and four parts.
• Repeat with the rectangle. Discuss whether the parts are truly equal and adjust folds as needed.

🗣 Discussion Questions:

• How do you know the parts are equal?
• Which fraction means two equal parts?
• What happens if we don’t fold accurately? Is that still a fraction?

3. Making and Identifying Fractions (15 minutes) – Creating Understanding

🎲 Activity 2: Fraction Sorting

• Provide fraction strips labelled with ½, ⅓, and ¼.
• Ask the student to match the fraction strips to different drawn shapes on a worksheet.
• Have them colour in the corresponding fraction amount.

🗣 Discussion Questions:

• Which fraction is the biggest: ½, ⅓, or ¼? Why?
• If you had to share your favourite chocolate bar, which fraction would give you the largest piece?

4. Applying Knowledge (15 minutes) – Problem Solving

🃏 Activity 3: Fraction Puzzle Cards

• Show a set of shape images, some correctly divided into halves, thirds, and fourths, and some incorrectly divided.
• The student must sort the images into two groups: "Equal Parts" and "Not Equal Parts."
• Then, they must explain why some divisions are incorrect.

📢 Extension Challenge:

• Ask the student to create their own "fraction puzzle" by drawing a shape and dividing it into unequal pieces. They will challenge the teacher to figure out what is wrong with their drawing.

5. Reflection & Wrap-Up (5 minutes) – Consolidating Learning

✏ Think, Pair, Share (Modified for 1:1 learning)

• Ask: What did you learn today about fractions?
• Have the student summarise their understanding using their own words.
• Provide a quick review of key points using a checklist on the board:
  ✅ Fractions represent equal parts
  ✅ Halves, thirds, and fourths all mean different numbers of equal parts
  ✅ Shapes and objects must be split fairly for it to be a fraction

Assessment Opportunities

✔ Informal questioning throughout activities
✔ Observing student responses during discussions
✔ Checking accuracy of folding and shading
✔ Reviewing fraction sorting and puzzle tasks

Differentiation Strategies

• For additional support: Use physical fraction tiles for a clearer visual representation. Pre-draw fraction outlines to help with accuracy.
• To extend learning: Ask the student to investigate fifths and eighths with additional paper cut-outs. Introduce the idea of one whole using fraction strips.

Homework/Next Steps

📌 Home Challenge: Ask the student to find real-life examples of halves, thirds, and fourths in daily life (e.g., a clock divided into quarters, a chocolate bar split into three pieces). They can draw or take pictures to share in the next lesson.

📌 Next Lesson Preview: Moving beyond shapes – applying fraction knowledge to groups of objects.

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This lesson plan ensures a strong foundation in fraction concepts by focusing on visual, hands-on, and interactive methods. It aligns with UK curriculum expectations while also encouraging curiosity and real-world connections. Happy teaching! 🎉