Critical Thinking: Students will analyze and apply geometric principles to solve real-world problems.
Communication: Students will articulate their problem-solving processes and solutions both orally and in written form.
Global Citizenship: Students will explore how geometric concepts like trigonometry are used globally in various cultures and industries.
How can we use the Pythagorean theorem to determine distances in real-life scenarios?
In what ways do trigonometric ratios (sine, cosine, and tangent) help in calculating heights and angles in architecture and construction?
How are the concepts of special right triangles applied in navigation and geography?
Students are able to convert quantitative problems that use words into mathematical expressions.
CCSS.MATH.HSG-SRT.C.8: Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.
Description: This standard emphasizes the practical application of trigonometry and the Pythagorean theorem in solving problems that involve right triangles.
CCSS.MATH.HSG-SRT.D.9: 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.
Description: This standard focuses on the relationship between angle measures and side lengths in right triangles, forming the basis for defining trigonometric ratios.
CCSS.MATH.HSG-SRT.D.10: Use definitions of trigonometric ratios and inverse trigonometric ratios to model and solve problems. Description: This standard covers the use of trigonometric and inverse trigonometric ratios to model real-world scenarios and solve associated problems.
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