This math unit begins with foundational trigonometry, focusing initially on calculating trigonometric ratios from given values, which aids in understanding basic relationships in right triangles. The unit progresses, enabling learners to solve for unknown angles and side lengths using these ratios. From there, the unit advances to applying trigonometric principles to solving for both angles and sides directly from diagrams, increasing the complexity and application in real-world scenarios. As learners become proficient with foundational concepts, the unit introduces the Rule of Sines, progressing from setup to full calculations, allowing students to solve problems involving non-right triangles with higher complexity. Following this, the Rule of Cosines is taught, similarly progressing from selecting the correct formula to performing full calculations for side lengths, addressing problems involving angles not covered by the Rule of Sines. The unit culminates in combining trigonometric knowledge to calculate the area of a triangle using the sine function, emphasizing practical uses of trigonometry in determining areas, an essential skill in geometric problem-solving.Skills you will learn include:
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