Unit 3.4 Understanding Trigonometry and Solving Real-World Problems Instructional Days: 13

Math Content Standards G-SRT Similarity, Right Triangles, and Trigonometry Define trigonometric ratios and solve problems involving right triangles G-SRT.6 Understand that by similarity, side ratios in right triangles 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.★ Math Content Standards

Standards of Math Practice SMP 2 Reason abstractly and quantitatively. Create diagram from a word problem Understand context of a real world situation SMP 4 Model with mathematics. Apply trigonometric ratios to solve problems in everyday life using pictures, manipulatives, and other technologies. SMP 7 Look for and make use of structure. Understand the connection between trigonometry and Pythagorean Theorem Understand the connection between sine and cosine of complementary angles Standards of Math Practice

In what real-life situations would you use trigonometric ratios? How are the trigonometric ratios related to each other? How are the trigonometric ratios related to similarity? Where do the trigonometric ratios come from? Essential Questions