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This lesson focuses on key terminologies and concepts related to angles and lines used in roofing structures such as gable, hip, and mansard roofs. Students will engage in brainstorming sessions to identify common angles (22.5°, 30°, 45°, 60°, 90°, 180°, 360°) and explore tools for their construction. The lesson will cover essential angle relationships, including supplementary, complementary, adjacent, and vertically opposite angles. By analyzing images of different roof designs, students will develop a practical understanding of how these angles are applied in real-world architecture.
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Workplace & Apprenticeship 10 Outcome 10.09 Lesson #1
Angles and Lines • Brainstorm some terminology related to angles and lines. • Discuss the following images in terms of the angles and lines present.
Common Angles • Draw the following common angles. What methods/tools can be used to construct the angles? 22.5° 30° 45° 60° 90° 180° 360°
Referents • Brainstorm referents for the common angles 22.5° 30° 45° 60° 90° 180° 360° • Use referents to identify angle measures found in common roof designs.
Lines and Angles • Using a straight edge, draw 2 lines (not necessarily parallel) and a transversal to identify and remember • Supplementary angles – two angles that add up to 180° • Complementary angles – two angles that add up to 90° • Adjacent angles – two angles that share a common vertex and a common arm • Vertically opposite angle - are the angles opposite each other when two lines cross
Identifying Lines and Angles • Identify examples of supplementary, complementary, adjacent and vertically opposite angles found in common roof designs.