Now that students understand what a unit circle is, you can proceed by explaining trigonometric functions on it. The video contains illustrations and explanations on how we can use a unit circle in math. For example, you could play this video as an introduction to what a unit circle represents. You could also complement your lesson with videos. So the length from the center of the circle to any given point on the circle is of length 1.
Tips for Teaching Trigonometric Functions on the Unit Circle What Is a Unit Circle?įor starters, you can explain to students that a unit circle is a circle whose radius is 1 unit. Use them in your class and never worry about teaching this topic again! To help out, we bring you a few such awesome tricks in this article.
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This unit discusses problem solving in trigonometry.įollowing this unit students are presented with the Final Review and Exam.When precalculus students learn about trigonometric functions on the unit circle, they learn how to understand the standard position of an angle, coterminal angle, and reference angle and become fluent in finding the trigonometric ratios in a given point on a unit circle.Įven though trigonometry can cause headaches for even the best of students, math teachers and homeschooling parents can facilitate the learning process by employing various teaching tips. This unit includes sum and difference formulas for sine, cosine, and tangent, as well as double-angle formulas, and half-angle formulas. This unit covers combining like terms, square roots, factoring, and quadratics. This unit reviews identities and discusses cofunction and negative angle identities, and simplifying expressions. Also covered are amplitude, period, horizontal and vertical translations, and a review of graphing concepts. This unit discusses graphs of sine, cosine, tangent, secant, cosecant, and cotangent. Unit 7 – Powers, Roots, and Complex Numbers
This unit discusses magnitude and directions, horizontal and vertical components, adding vectors geometrically and algebraically, and compass headings.įollowing this unit students are presented with the Mid-Term Review and Exam. This unit covers areas of triangles and the laws of sines and cosines. This unit discusses reciprocal and inverse functions. This unit covers radians and special angles, arc length, sector area, extended angles – coterminal, unit circle, and new definitions. This unit discusses sine, cosine and tangent, word problems for each, as well as pythagorean and tangent identities. This unit covers similarity and proportion, 30-60-90 and 45-45-90 right triangles, rationalizing the denominator, degrees, minutes, and seconds. Scope and Sequence Unit 1 – Preliminaries This course was developed by the International Academy of Science. Throughout this course, students gain experience using trigonometry to solve problems based on real-world situations. Students know how to solve trig equations. They also know how to add vectors both geometrically and algebraically.
Students are familiar working with vectors and know how to calculate magnitude and direction from horizontal and vertical components and vice versa. They also are familiar with and know how to use the trig identities. Students will be confident using various trig formulas, such as the Law of Sines and the Law of Cosines, as well as the area formula for triangles. They will know how to calculate arc length and sector area. They know what the graphs of these functions look like and how to translate them. Students will know how to use the sine, cosine, tangent and their reciprocal and inverse functions to determine unknown sides and angles of right triangles. Students will have mastered the unit circle, memorizing the coordinates of various key angles to quickly determine the lengths of the sides of common right triangles. Upon successful completion of Acellus Trigonometry, students will have attained a mastery of the trig foundational skills necessary for success in higher mathematics. /Library/TRIG011-A.mp4Ĭourse Objectives & Student Learning Outcomes