SHS1 Design And Communication Technology · Semester 2 Week 18: Fractal Geometry

Lesson notes

Learning Objectives

Indicator: 1.2.3.LI.2 - Examine the application of fractal geometry in designs.

By the end of the lesson, learners can:

Identify at least three real-world objects or designs that exhibit fractal patterns and explain why they are considered fractals.
Describe how fractal geometry is used in at least two different fields, such as architecture, textile design, or technology.
Work collaboratively in mixed-ability groups to research and present findings on a specific application of fractal geometry.
Create a simple fractal-inspired design using freehand sketches or drawing instruments, based on a geometric figure studied in the previous lesson.
Evaluate their own and others’ fractal designs using criteria such as self-similarity, repetition, and scale.

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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.2 - Examine the application of fractal geometry in designs.
Suggested placement: Semester 2, Week 18 (Week 38 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)

Research, group work, talk for learning, collaborative learnings: Using videos, charts, research and the internet, guide learners to explore varieties of fractal patterns in mixed ability groups and present their findings in a whole class discussion.

Group work, activity-based learning: In mixed ability groups assist learners to use free hand sketches to create fractal patterns from simple geometrical figures. For example, circle, ellipse and various polygons. Ask learners to share and compare designs with other groups.

Group work, activity-based learning: Guide learners in mixed ability groups to use drawing instruments to create fractal patterns of their choice and pin their designs on the board for review.

Assessment (1.2.3.AS.2). 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