Bearing and Triangle Rules: A Visual Guide
Create an 8-slide visual teaching deck for a 15-minute teacher-led explanation for Grade 7 students. Include: (1) lesson goal; (2) compass and three-digit bearings, explicitly using 060°, 135°, and 270°; (3) clockwise-from-north convention; (4) reverse bearings, explicitly showing that the reverse of 060° is 240° and explaining the 180° rule; (5) how to draw north lines and convert a navigation situation into a triangle; (6) the sine rule, with a worked example a = 8, A = 40°, B = 65°, finding b ≈ 11.3; (7) the cosine rule, with a = 7, b = 10, included angle C = 60°, finding c ≈ 8.9; (8) a final decision checklist: draw, identify angles, match opposite pairs, choose sine or cosine rule, calculate in degree mode, and check reasonableness. Include clear diagrams, labels, and common-error callouts. Use exact formulas $$a/sin A=b/sin B=c/sin C$$ and $$c^2=a^2+b^2-2ab cos C$$, with degree symbols in examples.
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