Plane Geometry · SHS2 Design And Communication…

Lesson notes

Learning Objectives

Indicator: 2.2.1.LI.2 - Explain the principles underlying the working of Loci and construct loci.

By the end of the lesson, learners can:

Define a locus in plane geometry and state the conditions that generate a locus.
Explain the principles underlying the operation of at least three types of loci: the involute, the helix, and the link mechanism.
Construct an involute of a given circle using drawing instruments with accuracy.
Construct a helix of a given cylinder using drawing instruments with accuracy.
Justify how the principles of loci connect to the orthographic projections studied in Week 12 and prepare for artefact design in Week 14.

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Curriculum details

Strand: Geometry (Strand 2)
Sub-strand: Plane Geometry (2.1)
Content standard: 2.2.1.CS.1 - 2.2.1.CS.1 Apply the concept of plane geometry in designing 2.2.1.LO.1 Use the knowledge of plane geometry to draw plane geometrical shapes and design different artefact based on plane geometrical figures.
Indicator: 2.2.1.LI.2 - Explain the principles underlying the working of Loci and construct loci.
Suggested placement: Semester 1, Week 13 (Week 13 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. 58

Exemplars (from the NaCCA curriculum)

Managing talk for learning With the use of pictures, videos and charts, explain the principles underlying the operations of loci, for example Helix, link mechanism and Involute as types of loci.

Experiential learning, Managing talk for learning: With the use of board instruments demonstrate to learners the construction of involutes and helix

Activity based learning: Guide learners to use the principles to construct involutes of various shapes and helix.

Assessment (2.2.1.AS.2). The document marks these depth-of-knowledge levels for this indicator: Level 4 Extended critical thinking and reasoning.

Teaching and Learning Materials:
- Models
- Charts
- reference books
- drawing studio
- Drawing instruments
- access to internet
- LCD Projector