Conceptual Category: Geometry
Similarity, Right Triangles, and Trigonometry
Define trigonometric ratios and solve problems involving right triangles.
 Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles.
 Explain and use the relationship between the sine and cosine of complementary angles.
 Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems
Apply trigonometry to general triangles.
 (+) Derive the formula A = ½ab sin(C) for the area of a triangle by drawing an auxiliary line from a vertex perpendicular to the opposite side.
 (+) Prove the Laws of Sines and Cosines and use them to solve problems.
 (+) Understand and apply the Law of Sines and the Law of Cosines to find unknown measurements in right and nonright triangles (e.g., surveying problems, resultant forces).

Standards For Mathematical Practice
 Make sense of problems and persevere in solving them.
 Reason abstractly and quantitatively.
 Construct viable arguments and critique the reasoning of others.
 Model with mathematics.
 Use appropriate tools strategically.
 Attend to precision.
 Look for and make use of structure.
 Look for and express regularity in repeated reasoning.

