Solid Geometry · SHS2 Design And Communication…

Lesson notes

Learning Objectives

Indicator: 2.2.2.LI.1 - Construct the surface development of pyramids.

By the end of the lesson, learners can:

Explain the principle of surface development for a pyramid, stating how the true length of a slant edge is obtained.
Draw the surface development of a rectangular (square) pyramid using drawing instruments to an accuracy of plus or minus 1 mm.
Draw the surface development of a pentagonal pyramid by dividing the base into equal parts and finding the true length of the slant edges.
Construct the surface development of a hexagonal pyramid and label all faces, edges and fold lines correctly.
Evaluate completed developments for accuracy, checking that all faces meet along fold lines and that the net closes into the intended pyramid.

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Curriculum details

Strand: Geometry (Strand 2)
Sub-strand: Solid Geometry (2.2)
Content standard: 2.2.2.CS.1 - 2.2.2.CS.1 Apply the concept of solid geometry in designing. 2.2.2.LO.1 Based on the understanding gained from the study of the concepts of solid geometry, construct complex solid geometrical objects. 2.2.2.LO.2 Use the knowledge of AutoCAD to draw simple plane figures.
Indicator: 2.2.2.LI.1 - Construct the surface development of pyramids.
Suggested placement: Semester 1, Week 16 (Week 16 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. 62

Exemplars (from the NaCCA curriculum)

Managing talk for learning:
1. Review learners' understanding of solid geometrical figures and the development of surfaces of prisms through brainstorming board sketches and illustrations.
2. With the aid of models, pictures, videos and charts, assist learners to explain the principles of developing pyramids.
3. Demonstrate the development of the surfaces of types of pyramids with the use of drawing instruments.

Activity based learning: Guide learners to develop the surfaces of some given pyramids such as rectangular, pentagonal and hexagonal pyramids

Assessment (2.2.2.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