NCTM Illuminations' unit on Law of Sines and Law of Cosines provides students with the knowledge of finding side length and angle measure of non-right triangles. To assure each student has developed an understanding of non-right triangle trigonometry, have students develop a multimedia presentation, including an introduction slide describing the Law of Sines and Law of Cosines; an ASA (or AAS) problem, SSA problem, SSS problem, and SAS problem for determining the missing sides or missing angles; and a conclusion slide for a comparison of the laws.

Law of Sines and Law of Cosines — http://illuminations.nctm.org/LessonDetail.aspx?ID=U177

Students will:

- Use right triangle trigonometry to develop the law of sines.
- Use the law of sines to solve problems.
- Use right triangle trigonometry to develop the law of cosines.
- Use the law of cosines to solve problems.

Students will demonstrate ICT Literacy skills by developing a slide-show presentation on non-right triangle trigonometry. Students will demonstrate critical thinking skills by analyzing the Law of Sines and the Law of Cosines. Students will demonstrate problem solving skills by developing non-right triangle trigonometry problems and by showing their work for solving those problems.

- Before Lesson: Download and install OpenOffice on students' computers (or use Microsoft PowerPoint if it already exists on the student computers).
- During Lesson: Instruct students to develop four non-right triangle trigonometry problems: ASA (or AAS), SSA, SSS, and SAS. Also, have the students brainstorm on the comparison of the Law of Sines and the Law of Cosines.
- In OpenOffice, students will access Impress to begin work on their multimedia presentation that will include six slides.
- Students will create an introduction slide for the Law of Sines and the Law of Cosines. This slide will include necessary background information on the laws.
- Students will create one separate slide for each of their non-right triangle trigonometry problems (four total). Each of these slides will provide step-by-step solutions to their problems, and each slide will include a title that describes whether they are solving an ASA, SSA, SSS or SAS problem.
- Students will create a conclusion slide on the comparison of the laws. At this time, students will use their critical thinking skills to analyze the laws.

See the Non-Right Triangle Trigonometry rubric.