[CN, PS, R]
Note: This outcome is very similar to P20.5 from Pre-calculus 20. The difference is that in Foundations of Mathematics 20, students are expected to explain steps in a given proof for either the cosine law or the sine law, but not to generate the proof on their own. | |
(a) |
Identify and describe situations relevant to self, family, or community that involve triangles without a right angle. |
(b) |
Develop, generalize, explain, and apply strategies for determining angles or side lengths of triangles without a right angle. |
(c) |
Draw diagrams to represent situations in which the cosine law or sine law could be used to solve a question. |
(d) |
Explain the steps in a given proof of the sine law or cosine law. |
(e) |
Illustrate and explain how one, two, or no triangles could be possible for a given set of measurements for two side lengths and the non-included angle in a proposed triangle. |
(f) |
Develop, generalize, explain, and apply strategies for determining the number of solutions possible to a situation involving the ambiguous case. |
(g) |
Solve situational questions involving triangles without a right angle. |