Subject: Geometry
Subject: Geometry
Grade Level: High School
Unit Title: Right Triangles |Timeframe Needed for Completion: 10 days
Grading Period: 1st 9 Weeks | |
|Big Idea/Theme: Determining sides and angles in right triangles |
| |
|Understandings: |
|Pythagorean Theorem |
|Special Right Triangles |
|Trig Ratios (Sine, Cosine, Tangent) |
|Similarity in right triangles |
|Angle of elevation and depression |
|Area involving trig ratios |
|Essential Questions: |Curriculum Goals/Objectives |
|How do you know which method to use to find the sides of a right triangle? |G.SRT.6 Understand that by similarity, side ratios in right triangles |
|Where would you use this in real life? |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.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 nonright |
| |triangles (e.g., surveying problems, resultant forces). |
|Essential Skills/Vocabulary: |Assessment Tasks: |
|Side adjacent |Find lengths of sides of a right triangle |
|Side opposite |Find angles of a right triangle |
|Hypotenuse |Find the area of a triangle using trig ratios |
|Angle of elevation | |
|Angle of depression | |
|Sine | |
|Cosine | |
|Tangent | |
| | |
|Materials Suggestions: |
|Prentice Hall Geometry |
|McDougal Littell Geometry |
|Benchmark Test (Midterm) |
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