Unpacked Content
Knowledge
Students know:
- The auxiliary line drawn from the vertex perpendicular to the opposite side forms an altitude of the triangle.
- Properties of the Sine and Cosine ratios.
- Pythagorean Theorem.
- Pythagorean Identity.
- The Laws of Sines and Cosines can apply to any triangle, right or non-right.
- Laws of Sines and Cosines.
- Vector quantities can represent lengths of sides and angles in a triangle.
- Values of the sin(90 degrees) and cos(90 degrees).
Skills
Students are able to:
- Label triangles in context and by convention.
- Perform algebraic manipulations.
- Find inverse sine and cosine values.
Understanding
Students understand that:
- The given information will determine whether it is appropriate to use the Law of Sines or the Law of Cosines.
- Proof is necessary to establish that a conjecture about a relationship in mathematics is always true and may provide insight into the mathematics being addressed.
- Proven laws allow us to solve problems in contextual situations.
Vocabulary
- Law of Sines
- Law of Cosines
- Resultant Force
