Simple Fractions Intro

Overview

This 45-minute lesson introduces Year 5 students in New Zealand to fractions using simple examples. It follows the New Zealand Curriculum Refresh (Te Mātaiaho) guidelines, focusing on developing students’ understanding of fractions as parts of a whole, linking symbolic notation with concrete materials and real-life contexts. The lesson emphasizes clear mathematical language, concrete and visual representations, and opportunities for reasoning, aligned with the curriculum's vision for positive relationships with mathematics and developing key competencies.

Curriculum Alignment

Learning Area: Mathematics and Statistics

Level: Year 5 (Phase 2)

Strand: Number and Algebra

Substrand: Rational Numbers (Fractions)

Key Achievement Objectives:

Identify, read, write, and represent simple fractions (halves, quarters, thirds, eighths) as parts of a whole or sets, using equal shares and grouping.
Understand and use correct mathematical language (numerator, denominator, equal parts).
Compare and order fractions involving halves, quarters, and eighths, and identify equivalences.
Place fractions on a number line to develop understanding of size and order.

Key Competencies:

Thinking: Reasoning about fractional parts and their relationships.
Using language, symbols, and texts: Express fractions using words, symbols, and diagrams.
Managing self: Engage actively with hands-on materials and visual models.
Relating to others: Share and discuss strategies and ideas about fractions.

Learning Intentions

Students will:

Understand a fraction as a number representing parts of a whole.
Identify and use numerator and denominator in fractions.
Recognise simple fractions such as ½, ¼, ⅓, and ⅛ in everyday contexts.
Compare and order these fractions using physical models and visual aids.

Success Criteria

Can explain what the numerator and denominator represent.
Can create and name simple fractions using physical materials (e.g., paper strips, pizza slices).
Can identify fractions on a number line and compare sizes of fractions confidently.
Can recognise equivalent fractions visually (e.g., 2/4 = 1/2).

Lesson Breakdown

Time	Activity	Description	Resources / Materials
0-5 min	Connect & Engage	Warm-up discussion: Ask students how they share things equally (e.g., slicing a pizza). Discuss what happens if the pizza is cut into halves, quarters, etc.	Whiteboard, images of pizza or cake
5-15 min	Explicit Teaching	Introduce fraction vocabulary: numerator, denominator. Show fraction symbols for ½, ¼, ⅓, ⅛. Use paper strips folded into equal parts. Demonstrate labeling numerator/denominator.	Paper strips, marker pens, fraction wall poster
15-25 min	Guided Practice	Students fold own paper strips to make halves, quarters, thirds, and eighths. Label parts. Then, students create equivalent fractions using fraction walls. Discuss equivalence (e.g., 2/4 = 1/2).	Paper strips, fraction wall templates, pens
25-35 min	Interactive Activity: Number Line	Draw a large number line on the board or floor. Mark 0 and 1. Together, place halves, quarters, and eighths on the number line with students placing fraction cards. Discuss ordering.	Tape, large floor number line, fraction cards
35-40 min	Think-Pair-Share	Pose questions: “Which is bigger: 1/4 or 1/3?” “How do you know?” Students discuss in pairs, then share with class using fraction wall or number line as evidence.	Fraction walls, number line
40-45 min	Reflection & Assessment	Oral questioning and exit ticket: Students write or say one thing they learned about fractions today. Quick quiz: identify fractions on a visual model and number line.	Exit ticket slips, quiz worksheet

Teaching Considerations

Use multiple representations: concrete (paper strips), visual (fraction walls, number lines), and symbolic (fraction notation).
Encourage mathematical talk, incorporating correct vocabulary, to build understanding.
Incorporate Māori language optionally, e.g., "hana" (half), to connect with heritage languages.
Provide examples from everyday life to enhance relevance and engagement.
Scaffold understanding by starting with simple fractions with denominators 2, 3, 4, and 8 as per curriculum guidance.

Assessment

Formative assessment through observation during activities: Are students able to fold and label fractions correctly?
Questioning during Think-Pair-Share to probe conceptual understanding.
Exit ticket responses provide evidence of individual grasp of key ideas.

Extension Ideas (Optional)

Explore fractions of sets (e.g., 1/4 of 20 pencils).
Use digital tools or apps to manipulate fraction models.
Introduce basic addition of unit fractions with the same denominator if understanding is secure.

Reflection Prompts for Teachers

Did students articulate understanding of numerator and denominator confidently?
Were students able to identify and order fractions on the number line with ease?
Did using physical models make a noticeable difference in engagement and comprehension?
How can cultural contexts or students’ backgrounds be further incorporated into future fraction lessons?

By embedding hands-on, visual, and communicative elements aligned to the New Zealand Curriculum Refresh for Year 5, this lesson plan aims to foster a deep, connected understanding of fractions as part of the students' mathematical foundation .

Teaching Instructions