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Title: Law of Cosines
Description:
In this Illuminations lesson, students use right triangle trigonometry and the Pythagorean theorem to develop the law of cosines. Included is a link to an online activity sheet.
Standard(s): [MA2013] AM1 (912) 17: (+) Prove the Law of Sines and the Law of Cosines and use them to solve problems. Understand Law of Sines = 2r, where r is the radius of the circumscribed circle of the triangle. Apply the Law of Tangents. [GSRT10] (Alabama)
Subject: Mathematics Title: Law of Cosines
Description: In this Illuminations lesson, students use right triangle trigonometry and the Pythagorean theorem to develop the law of cosines. Included is a link to an online activity sheet. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
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Title: The Law of Sines
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This student reproducible, from an Illuminations lesson, guides students as they use right angle trigonometry to develop the law of sines.
Standard(s): [MA2013] AM1 (912) 17: (+) Prove the Law of Sines and the Law of Cosines and use them to solve problems. Understand Law of Sines = 2r, where r is the radius of the circumscribed circle of the triangle. Apply the Law of Tangents. [GSRT10] (Alabama)
Subject: Mathematics Title: The Law of Sines
Description: This student reproducible, from an Illuminations lesson, guides students as they use right angle trigonometry to develop the law of sines. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
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Title: Squares on a Triangle (Law of Cosines)
Description:
The law of cosines is an extension of the Pythagorean theorem, but seeing how –2ab cos C fits into the picture can be difficult for students. In this lesson, students who understand the Pythagorean theorem and right triangle trigonometry will discover the law of cosines by exploring the areas of squares on the sides of a triangle and their associated "defects."
Standard(s): [MA2013] GEO (912) 23: (+) Understand and apply the Law of Sines and the Law of Cosines to find unknown measurements in right and nonright triangles (e.g., surveying problems, resultant forces).
[GSRT11]
Squares on a Triangle (Law of Cosines)
http://illuminations...
The law of cosines is an extension of the Pythagorean theorem, but seeing how –2ab cos C fits into the picture can be difficult for students. In this lesson, students who understand the Pythagorean theorem and right triangle trigonometry will discover the law of cosines by exploring the areas of squares on the sides of a triangle and their associated "defects."
Interactives/Games
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Title: Geometry StepbyStep
Description:
This site provides a mix of sound, science, and Incan history in order to raise students' interest in Euclidean geometry. Visitors will find geometry problems, proofs, quizzes, puzzles, quotations, visual displays, "scientific speculation", and more.
Standard(s): [MA2013] GEO (912) 37: Determine the relationship between surface areas of similar figures and volumes of similar figures. (Alabama)
Geometry StepbyStep
http://agutie.homest...
This site provides a mix of sound, science, and Incan history in order to raise students' interest in Euclidean geometry. Visitors will find geometry problems, proofs, quizzes, puzzles, quotations, visual displays, "scientific speculation", and more.
Learning Activities
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Title: Geometry StepbyStep
Description:
This site provides a mix of sound, science, and Incan history in order to raise students' interest in Euclidean geometry. Visitors will find geometry problems, proofs, quizzes, puzzles, quotations, visual displays, "scientific speculation", and more.
Standard(s): [MA2013] GEO (912) 37: Determine the relationship between surface areas of similar figures and volumes of similar figures. (Alabama)
Geometry StepbyStep
http://agutie.homest...
This site provides a mix of sound, science, and Incan history in order to raise students' interest in Euclidean geometry. Visitors will find geometry problems, proofs, quizzes, puzzles, quotations, visual displays, "scientific speculation", and more.
Teacher Tools
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Title: Geometry StepbyStep
Description:
This site provides a mix of sound, science, and Incan history in order to raise students' interest in Euclidean geometry. Visitors will find geometry problems, proofs, quizzes, puzzles, quotations, visual displays, "scientific speculation", and more.
Standard(s): [MA2013] GEO (912) 37: Determine the relationship between surface areas of similar figures and volumes of similar figures. (Alabama)
Geometry StepbyStep
http://agutie.homest...
This site provides a mix of sound, science, and Incan history in order to raise students' interest in Euclidean geometry. Visitors will find geometry problems, proofs, quizzes, puzzles, quotations, visual displays, "scientific speculation", and more.

