Unit Overview:
This unit develops the basic trigonometric ratios through right triangles, with particular attention to special right triangles and the Pythagorean Theorem. Students will use this knowledge to explain the relationship between sines and cosines and to solve right triangles. Students will also develop the Laws of Sines and Cosines to solve unknown measures of right triangles, derive the formula of areas of triangles using sines. This will be used to solve the problems with areas of inscribed/circumscribed triangles in the following unit.
Enduring Understanding:
Essential Questions:
This unit develops the basic trigonometric ratios through right triangles, with particular attention to special right triangles and the Pythagorean Theorem. Students will use this knowledge to explain the relationship between sines and cosines and to solve right triangles. Students will also develop the Laws of Sines and Cosines to solve unknown measures of right triangles, derive the formula of areas of triangles using sines. This will be used to solve the problems with areas of inscribed/circumscribed triangles in the following unit.
Enduring Understanding:
- Triangle similarities can be used to develop the trigonometric ratios in right triangles and can be used to solve for missing information in right triangles.
- Right triangles will help explain and use the relationships between sine and cosine of complementary angles.
- The Law of Sines and Cosines can be used to solve problems.
Essential Questions:
- How can similarities in right triangles lead to trigonometric ratios?
- How do sine and cosine relate to each other using complementary angles?
- How do you find missing information applying trigonometric ratios?
- How can you use the applications of Law of Sines and Cosines?
