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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