Fractal Geometry · SHS3 Design And Communication…

Lesson notes

Learning Objectives

Indicator: 3.2.3.LI.2 - Use the idea of fractal geometry to create complex fractal designs.

By the end of the lesson, learners can:

Explain the two key properties of a fractal design: self-similarity at different scales and iterative repetition of a base shape.
Select an appropriate geometric shape (triangle, square, or line segment) and a transformation rule to build a complex fractal design by hand.
Construct a 2-level and 3-level fractal design accurately using drawing instruments such as a pair of compasses, set-squares, a protractor, and dividers.
Produce a step-by-step pictorial report (manual drawing with annotations) documenting the process used to create their fractal design.
Evaluate their own and peers’ fractal designs against set criteria for accuracy, complexity, and neatness of construction.

Sign in with your phone number to read the full note and download the GES plan - free.

Sign in with phone number

Curriculum details

Strand: Geometry (Strand 2)
Sub-strand: Fractal Geometry (2.3)
Content standard: 3.2.3.CS.1 - 3.2.3.CS.1 Demonstrate knowledge and understanding of fractal geometry in creating fractal designs. 3.2.3.LO.1 Demonstrate knowledge and understanding of fractal geometry in creating fractal designs.
Indicator: 3.2.3.LI.2 - Use the idea of fractal geometry to create complex fractal designs.
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. 96

Exemplars (from the NaCCA curriculum)

Collaborative Learning/Managing talk for learning: Learners in groups brainstorm to select the types of geometric shapes they will want to use to create complex fractal designs and the relevant tools and materials that will be used.

Project-based Learning, Activity-based learning: Guide learners in groups/individuals to create complex fractal designs using the selected geometric shapes and relevant tools and materials

Project-based Learning, Activity-based learning: Let learners generate manual/digital pictorial reports individually on how they created the complex designs with the geometric shapes and the relevant materials and tools
- drawing instruments such as set-squares
- protractor

Assessment (3.2.3.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. - reference books LCD Projector

Teaching and Learning Materials:
- Models
- Charts
- pair of compasses
- dividers
- drawing studio
- access to internet