Standard #: MAFS.912.G-SRT.4.11 (Archived Standard)


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Understand and apply the Law of Sines and the Law of Cosines to find unknown measurements in right and non-right triangles (e.g., surveying problems, resultant forces).


Related Courses

Course Number1111 Course Title222
1202340: Precalculus Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 - 2024, 2024 and beyond (current))
1206320: Geometry Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 - 2024, 2024 and beyond (current))


Related Resources

Lesson Plans

Name Description
The Laws of Sine and Cosine

In this lesson, students determine when to use the Law of Cosine and/or the Law of Sine to calculate the measures of sides and angles of non-right triangles.

Following the Law of Sine

This lesson introduces the law of sine. It is designed to give students practice in using the law to guide understanding. The summative assessment requires students to use the law of sine to plan a city project.

Geometry Problems: Circles and Triangles This lesson unit is intended to help you assess how well students are able to use geometric properties to solve problems. In particular, the lesson will help you identify and help students who have the following difficulties solving problems by determining the lengths of the sides in right triangles and finding the measurements of shapes by decomposing complex shapes into simpler ones. The lesson unit will also help students to recognize that there may be different approaches to geometrical problems, and to understand the relative strengths and weaknesses of those approaches.

Perspectives Video: Professional/Enthusiast

Name Description
Celestial Navigation and Trigonometry <p>Lost at sea? We can use a sextant, the stars, and trigonometry to find our location!</p>

Problem-Solving Task

Name Description
Seven Circles III

This provides an opportunity to model a concrete situation with mathematics. Once a representative picture of the situation described in the problem is drawn (the teacher may provide guidance here as necessary), the solution of the task requires an understanding of the definition of the sine function.

Tutorial

Name Description
The basics of trigonometry

This tutorial shows the basics of trigonometry, sine, cosine, and tangent. Students will determine oppopsite sides, adjacent sides and the hypotenuse of right triangles.

Video/Audio/Animation

Name Description
MIT BLOSSOMS - The Juice Seller’s Problem "This video lesson presents a real world problem that can be solved by using the Pythagorean theorem. The problem faces a juice seller daily. He has equilateral barrels with equal heights and he always tries to empty the juice of two barrels into a third barrel that has a volume equal to the sum of the volumes of the two barrels. This juice seller wants to find a simple way to help him select the right barrel without wasting time, and without any calculations - since he is ignorant of mathematics. The prerequisite for this lesson includes knowledge of the following: the Pythagorean theorem; calculation of a triangle's area knowing the angle between its two sides; cosine rule; calculation of a circle's area; and calculation of the areas and volumes of solids with regular bases. Materials necessary include: equilateral containers of equal heights; sand; and measuring devices. Examples of in-class activities for the breaks between video segments include class discussions, individual calculations and small group problem solving." (from MIT Blossoms' "Pythagoras and the Juice Seller")

Virtual Manipulative

Name Description
Right Triangle Calculator "Free online calculator will calculate the side lengths and angles for any . Just input any valid combination of sides and/or angles, and let the calculator do the rest! This free tool also draws a downloadable image of your triangle." (from Math Worksheets Go!)

Student Resources

Tutorial

Name Description
The basics of trigonometry:

This tutorial shows the basics of trigonometry, sine, cosine, and tangent. Students will determine oppopsite sides, adjacent sides and the hypotenuse of right triangles.



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