[C, CN, PS, R, T]
(a) |
Provide a diagram or picture to illustrate a situation relevant to one’s self, family, or community that involves a triangle without a right angle. |
(b) |
Develop, explain, and apply strategies for solving a non-right angle triangle using the primary trigonometric ratios. |
(c) |
Derive and explain a proof of the sine law or cosine law. |
(d) |
Provide an example of a situation relevant to one’s self, family, or community that involves the need to consider the ambiguous case and provide a diagram or picture to illustrate the situation and explain why the ambiguous case needs to be considered. |
(e) |
Apply the sine law and/or cosine law to solve situational questions. |
(f) |
Critique the statement “For every possible pair of angles (whose sum is less than $180°$) and line segment, a triangle can be constructed”. |
(g) |
Critique the statement “The sine law and the cosine law only apply to non-right triangles”. |