Discovering Fractions

Overview

This 45-minute lesson introduces Year 5 students to the concept of fractions, focusing on understanding halves, quarters, and eighths as parts of a whole or sets, and representing these fractions visually and symbolically. The lesson aligns explicitly with the New Zealand Curriculum (nz_nzc_refresh) requirements for Year 5 rational numbers, and supports key mathematical competencies including communicating and reasoning.

Class size: 20 students

Country context: UK spelling and usage

Curriculum Links

Learning Objectives

By the end of the lesson, students will be able to:

Identify and represent halves, quarters, and eighths as fractions of sets and regions, using equal parts of the whole.
Read, write (in symbols and words), and say fractions correctly (e.g., 1/2 as "one half").
Understand the meaning of numerator and denominator in fraction notation.
Use fraction walls and paper strips to visualize and compare fractions.
Place simple fractions involving halves, quarters, and eighths on a number line.

Standards (Year 5 - nz_nzc_refresh)

Rational Numbers: Identify, read, write, and represent halves, quarters, and eighths as fractions of whole sets and regions.
Use equal parts of a whole or set to represent fractions.
Represent fractions using continuous materials (paper strips, bars) and discrete materials (sets of objects).
Compare and order fractions involving halves, quarters, and eighths.
Begin to identify when two fractions are equivalent (e.g., 2/4 = 1/2).

Key competencies developed:

Thinking: Understanding part-whole relationships, reasoning about fractions.
Using language, symbols and texts: Reading and writing fraction symbols and vocabulary.
Participating and contributing: Working collaboratively in pair activities and groups.
Relating to others: Sharing materials and explaining ideas verbally.

Lesson Breakdown

Materials Needed

Fraction wall charts (printed or drawn)
Paper strips for folding into fractional parts
Sets of discrete objects (e.g., counters, cubes) grouped for sharing activities
Whiteboard and markers
Number line displayed on board or projector
Fraction vocabulary cards (numerator, denominator, half, quarter, eighth)
Worksheets with fraction drawing and writing activities

1. Getting Started (5 minutes)

Greet class and explain today’s focus: "Discovering fractions through halves, quarters, and eighths."
Begin with a brief, relatable context: e.g., “Imagine you have a chocolate bar and want to share it with your friends.”
Use a paper chocolate bar image or shape. Ask: "How can we share this into equal parts?"
Introduce vocabulary: numerator (the top number) and denominator (the bottom number).
Write 1/2 on board. Explain denominator is total parts, numerator is how many parts considered.

2. Main Activities (30 minutes)

a) Visual Fraction Exploration (10 minutes)

Distribute paper strips to each student.
Demonstrate folding the strip into 2 equal parts; label parts as halves (1/2).
Repeat folding into 4 parts (quarters) and 8 parts (eighths).
In pairs, students explore folding and label their fractions using fraction vocabulary cards.
Teacher circulates, prompting language use ("How many parts is your strip divided into?", "Which part is one quarter?").

b) Fraction Walls and Number Lines (10 minutes)

Show fraction wall charts.
Compare fractions visually: e.g., notice 2/4 looks the same length as 1/2.
Explain equivalence through this visual.
Place fraction labels on a large number line: start with 0 and 1, mark halves, quarters, and eighths.
Students practice pointing and naming fractions on the number line.

c) Practical Application with Sets (10 minutes)

Provide small sets of objects (e.g., 8 counters).
Guide students to divide sets equally into halves, quarters, and eighths.
Ask: "If I have 8 counters, what is half? What is a quarter?"
Introduce simple fraction word problems (e.g., "You have 8 strawberries. You eat 1/4. How many did you eat?").
Encourage students to solve by grouping and share answers.

3. Connecting and Reflecting (10 minutes)

Class discussion: What new things did you learn about fractions?
Recap vocabulary: numerator and denominator.
Revisit fraction wall: show equivalent fractions again and confirm understanding.
Quick oral quiz with whole class: hold up fractional sections and ask, "What fraction is this?"
Have students place fractions on an empty number line worksheet, drawing their own fraction marks for halves, quarters, and eighths.

Assessment

Formative: Observations during practical and paired activities to check correct fraction identification and use of vocabulary.
Oral questioning during number line and fraction wall activities to assess understanding and correct terminology use.
Worksheet completion: Students accurately folding paper strips, labeling fractions, and marking fractions on number lines.
Peer discussion contributions demonstrating reasoning about fractions.

Differentiation and Extension

Support: For learners needing extra help, provide pre-marked paper strips and guided folding. Use concrete manipulatives extensively.
Extension: Challenge higher achievers with comparing fractions beyond halves, quarters, and eighths; introduce simple improper fractions or equivalent fractions (e.g., 2/4 = 1/2).

Teacher Notes

Use clear, consistent language throughout; emphasise "equal parts" and "whole".
Model explicitly how to read fraction symbols (e.g., "one half," "three quarters").
Incorporate think-alouds to explain folding and fraction equivalence to support reasoning development.
Encourage peer explanation during paired or group tasks to strengthen communication competency.
Connect fractions to everyday contexts such as sharing food or dividing time for relevance.

This lesson plan follows the nz_nzc_refresh rational numbers expectations for Year 5 students, specifically targeting the foundational understanding of fractions with denominators 2, 4, and 8, supporting fluency in reading, writing, and representing fractions as per the curriculum guidance .

Teaching Instructions