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Curriculum Map for: Time Frame / Content 2-3 week Geometry 21/22 Essential Question(s) How do you find a side length or angle measure in a right triangle? How do trigonometric ratios relate to similar right triangles? Skills Vocabulary Words: Pythagorean Theorem Square root (radicals) Hypotenuse Similar triangles Trigonometric ratios Angles (Theta) Rationalize denominator Simplify radicals Angle of depression and angle of elevation Law of Sine Law of Cosine Co-functions (sine and cosine only) Prior Knowledge: Objectives: Use the Pythagorean theorem to find the length of a missing Hypotenuse or leg of a right triangle. Recognize Pythagorean triples. Derive and use the Converse of the Pythagorean Theorem to prove a triangle is a right triangle. Derive and use the shortcuts found in a right isosceles triangle. Recognize when to use the shortcuts found in all 30-60-90 triangles. Recognize when to use the 45-45-90 triangle Theorem and the 3060-90 triangle Theorem, instead of the Pythagorean Theorem to find missing lengths of leg in a right triangle or missing hypotenuse. Write and use a trigonometric ratio to find a missing length of a right triangle. Common Core Standards Projects and Assessments G.SRT.8 G.SRT.4 G.MG.1 G.SRT.7 G.SRT.11 G.SRT.10 Differentiation/ Strategies Think pair share group activity Vocabulary support handout Resources www.pearsonsucessnet.com www.engageny.org www.jmap.org Use a trigonometric ratio and it's inverse to find the measure of any of the missing acute angles in a right triangle. Identify angles of elevation and angles of depression. Use the angles of elevation and depression as the acute angles in right triangles formed by a horizontal distance and a vertical height. Create and solve problems using similar right triangles to find indirect measure of missing heights and lengths. Draw an altitude in a triangle and derive the Law of Sines. Use the Law of Sines given (AAS). Use the Law of Sines given (SSA). Apply the Laws of Sines to solve for missing angle measures and lengths in a triangle. Draw an altitude in a triangle and derive the Law of Cosines. Use the Law of Cosines given (SAS). Use the Law of Cosines given (SSS). Apply the Laws of Cosines to solve for missing angle measures and lengths in a triangle.