Exploring Simple Fractions

Year Level

Year 5 (Aged 9-10)

Duration

45 minutes

Class Size

20 students

Curriculum Alignment

This lesson aligns directly with the New Zealand Curriculum Refresh for Mathematics and Statistics, Year 5, specifically focusing on Number and Algebra > Rational Numbers:

Identify, read, write, and represent simple fractions (halves, quarters, thirds, fifths, eighths) as parts of a whole and parts of sets using equal partitioning.
Use mathematical language associated with fractions such as numerator, denominator, equal parts, and simplify representation with fraction walls and number lines.
Find a unit fraction of a set or whole number.
Compare and order simple fractions by directly comparing and using fraction walls or number lines.

This supports achievement of the learning objectives expressed in Te Mātaiaho (Mathematics and Statistics in the New Zealand Curriculum) for Year 5 students .

Learning Competencies

Thinking: Students will reason about parts of whole objects and sets and understand the meaning and representation of fractions.
Using Language, Symbols, and Texts: Students will develop familiarity with fraction vocabulary and symbolic notation (numerator/denominator).
Participating and Contributing: Students engage actively through hands-on fraction activities and group discussion, sharing methods and solutions.

Learning Objectives

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

Define fractions in simple terms, naming numerator and denominator correctly.
Identify and represent halves, quarters, thirds, fifths, and eighths as equal parts of a whole or set.
Use fraction walls, paper strips, and number lines as visual tools to compare and order simple fractions.
Find simple unit fractions of whole numbers and sets, e.g., 1/3 of 15 objects.
Express fractions orally and symbolically with confidence.

Resources Needed

Paper strips to fold into fractions
Fraction walls (physical or drawn on board)
Large number line marked from 0 to 1 with fractional intervals (halves, quarters, eighths)
Counters or small objects (20 per group for sharing tasks)
Whiteboard and markers
Chart with fraction vocabulary: numerator, denominator, numerator/denominator role explained
Worksheets with simple fraction problems (optional)

Lesson Outline

1. Introduction (5 minutes)

Engage students by asking about sharing: "If we share one chocolate bar between two people, what does each person get?"
Introduce the word fraction as a way to name parts of a whole or set.
Introduce vocabulary: numerator (top number = how many parts we have), denominator (bottom number = total parts the whole is divided into). Use a clear visual on the board with examples such as 1/2, 1/4, 3/4.

2. Activity 1 – Folding Paper Strips (10 minutes)

Each student receives a paper strip representing “one whole.”
Demonstrate folding into halves, quarters, thirds, fifths, eighths — emphasis on equal parts.
Label folded parts with numerator and denominator. Write corresponding fraction notation on board.
Students practise folding and labelling their own strips.

3. Activity 2 – Making and Using a Fraction Wall (10 minutes)

Using paper strips from Activity 1, students build a fraction wall on their desks or collaboratively on a board.
Discuss relationships between parts: how 2/4 equals 1/2, what fractions look bigger or smaller, etc.
Teacher models comparing fractions using the wall (e.g., 1/4 < 1/3).
Introduce ordering of fractions by size visually.

4. Activity 3 – Fraction Number Line (10 minutes)

Introduce a large number line marked 0 to 1 divided into halves, quarters, and eighths.
Place paper strips or cards on number line sections.
Invite students to place fractions like 1/2, 3/4, 5/8 on the number line.
Discuss how fractions are numbers that can be represented on a number line, reinforcing their value and order.

5. Activity 4 – Fractions of a Set (5 minutes)

In groups, give students 20 counters. Ask: “Find 1/5 of this set.”
Use sharing or grouping to find fractional parts of sets.
Ask: “If 1/4 of the set is 5 counters, how many counters are there altogether?”
Students express answers symbolically and orally.

6. Conclusion and Reflection (5 minutes)

Recap key learning points: fractions are parts of a whole or set, numerator/denominator roles, ordering fractions.
Have a short quiz game or oral Q&A to reinforce vocabulary and concepts.
Ask students to share one new thing they learnt about fractions today.

Assessment

Formative: Monitor participation and understanding during activities (folding, fraction wall, number line placement, and set sharing). Use questioning to check conceptual grasp.
Summative: Collect informal observational notes from group activity on fractions of sets and symbolic fraction writing. Optionally, provide a simple worksheet with matching fractions to pictures or number lines for quick completion after the lesson.
Ensure students are able to correctly name parts of fractions and demonstrate ordering using visual supports.

Teaching Considerations

Use concrete materials and visuals extensively to connect abstract fraction concepts to tangible examples — critical for Year 5 students.
Encourage the use of correct mathematical language, modelling it consistently.
Recognise diverse learners: use peer support, provide extra guidance for students struggling to visualise fractions.
Integrate cultural inclusiveness by using examples relevant to students’ lives for sharing scenarios or set sizes.

Extension and Home Learning Ideas

Invite students to create their own fraction walls at home with paper strips and explain it to family members.
Practise finding simple fractions of household items, e.g., dividing fruit, sharing snacks, or dividing chores.
Use digital fraction apps or games if available to reinforce visual fraction understanding.

By following this detailed, engaging plan, teachers in New Zealand will introduce Year 5 students to simple fractions effectively, in line with the refreshed national curriculum's emphasis on hands-on learning, clear conceptual understanding, and appropriate mathematical language.

References:

Te Mātaiaho Mathematics and Statistics, NZ Curriculum Refresh Years 0-8, October 2024
NZ Curriculum Refresh Phase 2 and 3 Guidance relevant for Year 5 fractions

Teaching Instructions