Grade Level

Designed for 7th Grade Students (approx. 12-13 years old)

Duration

45 minutes

Class Size

20 Students

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Learning Objectives (NZC Te Mātaiaho Framework Alignment)

• Identify, read, write, and represent fractions including halves, thirds, quarters, fifths, sixths, eighths, and tenths as parts of sets and regions, including positioning on number lines.
• Understand numerator and denominator roles in fractions; the denominator indicates the number of equal parts of a whole, the numerator indicates how many parts are considered.
• Compare and order fractions involving halves, quarters, and eighths; identify equivalent fractions and represent fractions in simplest form.
• Connect fractions to multiplication and division (e.g., identifying a fraction of a whole number using multiplication/division).
• Use different models: fraction walls, number lines, bar models, paper strips, and digital tools to visualize and compare fractions.
• Use mathematical language accurately (numerator, denominator, equivalent, whole, partition, simplify).
• Practice saying, reading, and writing fractions in words and symbols.

(References: NZC Phase 2 and Te Mātaiaho Maths 0-8 documents, rational numbers progression for years 4-7)

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Key Competencies Addressed

• Thinking: Reasoning about fraction concepts, relating fractions to division and multiplication.
• Using Language, Symbols, and Texts: Reading, writing, comparing fractions, using correct mathematical terminology.
• Relating to Others: Working collaboratively on fraction tasks and discussions.
• Managing Self: Engaging in individual and group practices.
• Participating and Contributing: Sharing strategies and solutions verbally and visually.

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Lesson Breakdown

Activity	Description	Time	Notes
Warm-Up and Introduction	- Start with a brief recall of division and equal sharing concepts connected to fractions. - Engage students with a real-world fraction question (e.g., “If you share 12 cookies equally among 4 friends, how many does each get?”). Introduce fractions as numbers that represent parts of a whole with numerator and denominator terms explained using paper strips.	8 minutes	Use tangible objects (cookies, paper strips). Use correct terminology.
Interactive Fraction Wall Creation	- Students fold paper strips to create halves, quarters, eighths, and label each part (words and symbols). - Create a collective fraction wall to visually compare fractions and identify equivalent fractions. - Facilitate discussion on equivalent fractions (e.g., 2/4 = 1/2).	12 minutes	Hands-on with peer collaboration. Use fraction walls to promote visual understanding and comparison.
Number Line Placement Activity	- Using prepared number lines, students place fractions like 1/2, 1/4, 3/4, 1/8, 5/8 in correct positions. - Discuss how fractions can be represented on a number line emphasizing that a fraction is a number.	10 minutes	Use small group discussion to encourage reasoning about size and position of fractions.
Application: Finding Fractions of a Set	- Present problems: “Find 1/3 of 15,” “If 1/4 of the set is 3, what is the whole set?” - Students use multiplication and division and connect to prior knowledge. - Represent with bar models or discrete objects for visual support.	10 minutes	Individual work with teacher assistance as needed. Encourage use of mathematical language and reasoning.
Wrap-up and Reflection	- Recap key ideas: fraction parts, equivalent fractions, numerator/denominator roles. - Quick formative assessment: students say/read/write 3 fractions from the lesson. - Address any questions. - Provide a challenge question for advanced learners (e.g., Compare 3/8 and 1/2 using fraction walls or number lines).	5 minutes	Use question and answer format. Encourage students to articulate understanding verbally.

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Assessment

• Formative Assessment during Activities:

  • Observe students' ability to fold and label fractions correctly.
  • Check placement on number lines for accuracy.
  • Evaluate problem-solving process and correctness for fraction of a set problems.
  • Listen for use of correct mathematical terms.

• Exit Card:

  • On a small card, students write one fraction in symbolic form, read it aloud, and write the fraction in words.
  • Teacher reviews for correct understanding before next lesson.

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Materials Needed

• Paper strips for folding fractions (one per student)
• Fraction wall poster or collective paper strip wall
• Number line charts for fraction placement (enough for small groups)
• Sets of discrete objects (counters, cubes) for "fractions of a set" problems
• Whiteboard and markers to model examples
• Small cards for exit tickets

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Teacher Tips & WOW Factor Ideas

• Use the folding paper strips to create a large classroom fraction wall displayed during the lesson, reinforcing visual learning.
• Employ think-aloud strategies when solving fraction problems to model reasoning (e.g., “I know that halves mean two equal parts, so the denominator is 2...”).
• Incorporate a digital tool simulation or fraction app for quick visual fraction comparisons for tech-friendly engagement.
• Integrate students’ cultural examples or contexts relevant to them to make fractions relatable.
• Use choral responses to build confidence in fraction terminology.
• Employ pair-share for the "fraction of a set" activity to deepen conceptual understanding.

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This lesson plan closely follows the NZ Te Mātaiaho curriculum (2024 refresh) with precise alignment to the learning goals, competencies, and indicators for the intermediate grades (years 6-7) introducing and developing fraction understanding, using a mix of representations and problem solving, and encouraging mathematical language and collaboration.