SHS2 Design And Communication Technology · Semester 2 Week 1: Fractal Geometry

Lesson notes

Learning Objectives

Indicator: 2.2.3.LI.1 - Use various geometric shapes to create complex fractal designs.

By the end of the lesson, learners can:

Define fractal geometry and identify the key characteristic of self-similarity in natural and man-made objects.
Identify at least four geometric shapes (e.g., triangle, square, rectangle, circle, hexagon) that can serve as building blocks for fractal designs.
Describe the step-by-step process of creating a simple fractal design, such as a Sierpinski triangle or a Koch snowflake.
Create a manual or digital pictorial chart showing how a chosen geometric shape can be repeatedly subdivided to generate a fractal pattern.
Work collaboratively in groups to generate and present a fractal design based on a geometric shape, explaining the rule of repetition used.

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Curriculum details

Strand: Geometry (Strand 2)
Sub-strand: Fractal Geometry (2.3)
Content standard: 2.2.3.CS.1 - 2.2.3.CS.1 Demonstrate knowledge and understanding of fractal geometry in creating fractal designs. 2.2.3.LO.1 Use the understanding of plane and solid geometry to create fractal designs.
Indicator: 2.2.3.LI.1 - Use various geometric shapes to create complex fractal designs.
Suggested placement: Semester 2, Week 1 (Week 21 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. 66

Exemplars (from the NaCCA curriculum)

Group Work/Collaborative Learning: Learners in groups discuss the characteristics of geometric shapes to be used to create fractal designs with the aid of relevant resources such as photographs, drawings, videos, charts and real objects in the environment.

Problem-based Learning/Experiential Learning: Learners in groups observe how geometric shapes have been used to create fractal designs with the aid of relevant resources such as photographs, drawings, videos, charts and real objects in the environment.

Project-based Learning/Experiential Learning: Let learners in groups generate manual/digital pictorial charts of geometric shapes that can be used to create fractal designs.

Assessment (2.2.3.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
- Drawing instruments
- Access to internet
- LCD Projector