Geo+Unit+4

1. Make sense of problems and perseveres in solving them. 2. Reasons abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity and repeated reasoning. || Remembering Understanding Applying Analyzing Evaluating Creating || ===‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍**Learning Target/Task Analysis**===
 * ===**Common Core Standard(s)**===
 * G-SRT.4**. Prove theorems about triangles. //Theorems include: a line parallel to one side of a triangle divides the other two proportionally, and conversely; the Pythagorean Theorem proved using triangle similarity.//
 * G-SRT.6**. 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.
 * G-SRT.7**. Explain and use the relationship between the sine and cosine of complementary angles.
 * G-SRT.8**. Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.★
 * G-SRT.9**. (+) Derive the formula //A// = 1/2 //ab// sin(C) for the area of a triangle by drawing an auxiliary line from a vertex perpendicular to the opposite side.
 * G-SRT.10**. (+) Prove the Laws of Sines and Cosines and use them to solve problems.
 * G-SRT.11**. (+) Understand and apply the Law of Sines and the Law of Cosines to find unknown measurements in right and non-right triangles (e.g., surveying problems, resultant forces). || ===‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍**Anchor Standard/Mathematical Practice(s)**===
 * ===‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍**Information Technology Standard**=== || ===‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍**Revised Bloom's Level of thinking**===

**I can...**

 * Prove the side-splitter theorem
 * Prove the Pythagorean theorem using triangle similarity
 * Develop the trig ratios using corresponding angles of similar right triangles and the relationship of their sides
 * Explain the relationship between the sine and cosine of complementary angles
 * Use trig ratios to solve right triangles in applied problems
 * Use Pythagorean theorem to right triangles in applied problems
 * Derive the formula A = 1/2ab sin(C) for the area of a triangle
 * Prove and use the Law of Sines
 * Prove and use the Law of Cosines
 * Apply the Law of Sines and Law of Cosines to find unknown measures in triangles

===‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍===

**Essential Vocabulary**
Pythagorean Theorem, sine, cosine, tangent, Law of Sines, Laws of Cosines

===‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍**Sample Assessments**=== ===‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍**Differentiation**===

===‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍**Instructional Resources**===

===‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍**Notes and Additional Information**===