This math unit begins by developing students' abilities to solve for missing lengths in special right triangles using the Pythagorean theorem. Initially, the focus is on 30-60-90 triangles, where students calculate various sides from given side lengths, gradually advancing to include 45-45-90 triangles. As students master these geometric solutions, the unit transitions into fundamental trigonometry. Here, learners start by converting angles between degrees and radians, deepening their understanding of the unit circle. As they progress, the unit introduces problems that require determining coordinates on the unit circle based on given angles, first in degrees and later in radians. Towards the end of the unit, students invert this process, identifying angles based on given coordinates. This steady progression not only solidifies their knowledge of triangle properties but also enhances their practical skills in trigonometry, crucial for understanding relationships in trigonometric functions. Skills you will learn include:
Topics are small, focused areas which build towards the greater unit's goals.