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G-RT-1-4

Page history last edited by Tashe Harris 6 years, 2 months ago

G.RT.1.4 Apply the trigonometric functions as ratios (sine, cosine, and tangent) to find side lengths in right triangles in real-world and mathematical problems.

In a Nutshell

When given a right triangle and an acute angle measure, students will be able to set up the appropriate trigonometric ratio and then correctly use algebra procedures to solve for a missing side length.

Student Actions	Teacher Actions
Develop Mathematical Reasoning: Students will apply definitions, postulates and theorems appropriately when given diagrams or mathematical relationships. Develop the ability to communicate mathematically: Students will communicate terminology in their own words in multiple representations (pictorially, written, and verbal). Develop Strategies for Problem Solving: Students will be able to solve real world scenario problems involving trig functions	Teachers will present multiple pictorial representations involving different orientations of right triangles. Teachers will build procedural fluency from conceptual understanding by reviewing and integrating the application of solving ratios. Teachers will develop mathematical reasoning by demonstrating multiple pathways in solving a problem. Teachers will promote productive struggle by giving students tasks that require them to construct the necessary right triangle to solve.
Key Understandings	Misconceptions
Students understand that problems involving similar right triangles can be solved using the trigonometric ratios. Students understand that knowing one side and one acute angle of a right triangle allows them to solve for the remaining sides using the trig ratios.	Students use the incorrect trigonometric ratios. Students incorrectly apply the properties of proportions.