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

Lesson notes

Learning Objectives

Indicator: 2.2.3.LI.2 - Experiment with the creation of various fractal designs using geometric shapes.

By the end of the lesson, learners can:

Identify and describe the key characteristics of self-similar fractal designs, including the concept of a repeating pattern at different scales.
Create at least two different fractal designs by applying repeated transformations (such as scaling, rotation, and reflection) to basic geometric shapes.
Use manual drawing tools to construct a simple fractal design with at least three levels of iteration with reasonable accuracy.
Work collaboratively in groups to discuss and document the process of creating a fractal design, presenting findings to the class.
Evaluate the visual and mathematical properties of their own and peers’ fractal designs against given criteria.

This lesson builds on Week 1 (2.2.3.LI.1), where learners used geometric shapes to create complex fractal designs. It extends that work by focusing on experimentation with different techniques, tools, and shape combinations to generate novel self-similar designs. The lesson stops short of orthographic views (Week 3) and loci (Week 4), which will be treated in later sessions.

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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.2 - Experiment with the creation of various fractal designs using geometric shapes.
Suggested placement: Semester 2, Week 2 (Week 22 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 self -similar fractal designs and how they can be created with the aid of relevant resources such as photographs, drawings, videos, charts and actual objects in the environment.

Project-based Learning/Experiential Learning: Let learners in groups generate manual/digital pictorial charts of self-similar fractal designs created using geometric shapes

Project-based Learning: Let learners in groups/individuals experiment with relevant tools and techniques to create self- similar fractal designs

Assessment (2.2.3.AS.2). The document marks these depth-of-knowledge levels for this indicator: Level 1 Recall; Level 2 Skills of conceptual understanding; Level 3 Strategic reasoning; Level 4 Extended critical thinking and reasoning.

Teaching and Learning Materials:
- Models
- Charts
- Reference books
- Drawing studio
- Drawing instruments
- Access to internet
- LCD Projector