#### MAT-HS.G-SRT.08.a

 MAT-HS Targeted Standards(G) Concept: Geometry(SRT) Domain: Similarity, Right Triangle, and TrigonometryCluster: Define trigonometric ratios and solve problems involving right triangles MAT-HS.G-SRT.08.a Use special right triangles (30°-60°-90° and 45°-45°-90°), trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.   (Mastery of the Pythagorean Theorem is an 8th grade standard.)

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## Proficiency Scale

 Score Description Sample Activity Advanced In addition to Score 3.0, the student demonstrates in-depth inferences and applications regarding more complex material that go beyond end of instruction expectations. The student will be able to solve complex, multi step trigonometry and Pythagorean Theorem problems in applied situations. 3.5 In addition to Score 3.0 performance, the student demonstrates in-depth inferences and applications regarding the more complex content with partial success. Proficient “The Standard.” The student demonstrates no major errors or omissions regarding any of the information and processes that were end of instruction expectations. The student will be able to solve application problems involving trigonometry and Pythagorean Theorem. The bottom of a ladder must be placed 3 feet from a wall.  The ladder is 12 feet long.  How far above the ground does the ladder touch the wall? 2.5 The student demonstrates no major errors or omissions regarding the simpler details and processes (Score 2.0 content) and partial knowledge of the more complex ideas and processes (Score 3.0 content). Progressing The student demonstrates no major errors or omissions regarding the simpler details and processes but exhibits major errors or omissions regarding the more complex ideas and processes (Score 3.0 content). The student can recognize and recall terminology to answer questions        ·  Angle of elevation        · Angle of depression        · Hypotenuse and legs of a right triangle The student can set up trigonometric ratios and solve a basic trigonometry problem. The student can correctly draw and label a diagram modeling the situation Solve for x: 1.5 The student demonstrates partial knowledge of the simpler details and processes (Score 2.0 content) but exhibits major errors or omissions regarding the more complex ideas and procedures (Score 3.0 content). Beginning With help, the student demonstrates a partial understanding of some of the simpler details and processes (Score 2.0 content) and some of the more complex ideas and processes (Score 3.0 content). - 0.5 With help, the student demonstrates a partial understanding of some of the simpler details and processes (Score 2.0 content) but not the more complex ideas and processes (Score 3.0 content). 0.0 Even with help, the student demonstrates no understanding or skill. -

## Resources

 Web Vocab