SHS3 Mathematics · Semester 2, Week 2
Spatial Sense
Full lesson notes coming
Notes for this lesson are being prepared. The curriculum details below are complete and ready to use for your planning.
Curriculum details
- Strand
- Geometry Around Us (Strand 3)
- Sub-strand
- Spatial Sense (3.1)
- Content standard
- 3.3.1.CS.2 - Demonstrate knowledge and understanding of geometrical construction, use the knowledge to construct plane shapes and apply these in the world around them. 3.3.1.LO.2 Perform geometric construction of quadrilaterals and given loci.
- Indicator
- 3.3.1.LI.1 - Recall the construction of various angles such as 75°, 105°, 135° and 150°.
- 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. 345
Exemplars (from the NaCCA curriculum)
Group discussions: In convenient groups, learners discuss and draw various angles using the appropriate mathematical tools and/or technology. Example: Construct the following angles and verify by measuring them with a protractor: (i) 75° (ii) 105° (iii) 135° Solution (i) Angle 75° We need to construct two adjacent angles of 60°. The second angle should be bisected twice to get a 15° angle. 75° = 60° + 15° 15° = 30°/2 = (60/2) ÷ 2
(ii) Angle 105° We need to construct two adjacent angles of 60°. In the second angle, we need to bisect it to get two 30° angles. The second 30° angle should be bisected again to get a 15° angle. Altogether, we can make an angle of 105°. 105° = 60° + 45° 105°= 60° + 30° + 15°
(iii) Angle 135° We need to construct three adjacent angles of 60° each. The third angle should be bisected twice successively to get an angle of 15°. Altogether, we will get an angle of 135°. 135° = 15° + 60° + 60° 15° = (60°/2) ÷ 2
Teaching and Learning Resources: - * Mathematical sets, Graph sheet. * Technology tools such as computers, mobile phones, etc. * Computer software applications like GeoGebra. Assessment (3.3.1.AS.1). The document marks these depth-of-knowledge levels for this indicator: Level 2 Skills of conceptual understanding.