Fractal Geometry · SHS1 Design And Communication…

Lesson notes

Learning Objectives

Indicator: 1.2.3.LI.1 - Explain the basic concept of fractal geometry.

By the end of the lesson, learners can:

Explain fractal geometry in their own words, using the key features of self-similarity, recursion, and infinite detail.
Identify common natural and man-made objects (leaves, ferns, fabrics, flowers) that display fractal patterns.
Describe at least three types of fractal geometry (for example, geometric fractals, natural fractals, and algebraic fractals) with one distinguishing feature of each.
State and explain at least three real-world applications of fractal geometry in fields such as medicine, technology, art, and nature studies.
Work collaboratively in mixed-ability groups to observe patterns in given materials and present findings clearly to the whole class.

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Curriculum details

Strand: Geometry (Strand 2)
Sub-strand: Fractal Geometry (2.3)
Content standard: 1.2.3.CS.1 - 1.2.3.CS.1 Demonstrate knowledge and understanding in fractal geometry in creating fractal designs. 1.2.3.LO.1 Use the understanding of plane and solid geometry to create fractal designs.
Indicator: 1.2.3.LI.1 - Explain the basic concept of fractal geometry.
Suggested placement: Semester 2, Week 17 (Week 37 of the year)
Our suggestion, laid out in curriculum order across three terms of twelve weeks. NaCCA does not fix the week, so follow your school's scheme of learning.
Curriculum reference: NaCCA curriculum document, p. 43

Exemplars (from the NaCCA curriculum)

Group work, collaborative learning, Talk for learning: With the use of charts, videos, fabrics, flowers, leaves, and in mixed ability groups guide learners to observe the pattern of given materials and identify the common geometrical shape running through the design of the materials given. Guide learners to present their findings in a whole class discussion.

Group work/collaborative learnings, managing talk for learning: In their groups guide learners to explain fractal geometry in their own words.

Research, group work/Collaborative learning: Using the internet to research, guide learners to identify types of fractal geometry and present their groups findings in a whole class discussion.

Research, group work, collaborative learning, talk for learning: Using the internet to research, guide learners to state and explain at least three applications of fractal geometry in their groups, and present in a whole class discussion.

Assessment (1.2.3.AS.1). The document marks these depth-of-knowledge levels for this indicator: Level 2 Skills of conceptual understanding; Level 3 Strategic reasoning.

Teaching and Learning Materials:
- Models
- Charts
- reference books
- drawing studio
- access to internet
- LCD Projector
- fabrics of different designs
- cutting knife