# Teaching Resources for Trigonometry

1. Trigonometry for Solving Problems - This lesson offers a pair of puzzles to enforce the skills of identifying equivalent trigonometric expressions. Additional worksheets enhance students' abilities to appreciate and use trigonometry as a tool in problem solving. This lesson is adapted from an article by Mally Moody, which appeared in the March 1992 edition of Mathematics Teacher.
2. Trigonometry- This web site has definitions, applets, and much more to help students learn about trigonometry and other connected concepts.
3. Maths Online- Law of Sines- This resource contains multiple applets and graphics that can be used by students or teachers to understand and visualize trigonometry in action.
4. Trigonometry (Applets and Activities)- This resource has multiple applets and activities to be used by the students or teacher for discovery, practice, or review of some basic trigonometric concepts such as definition of sine and cosine, graph of sine and cosine, law of sines, law of cosines, and more.
5. The Math Page: Trigonometry- This resource has multiple concepts for geometry and trigonometry. The concepts are divided among chapters with links on common unknown concepts to help students understand the text. This resource also provides exercises that can be done by the students (answers are provided).
6. Web Math - Students could use this as a resource for review or to clarify topics discussed in class but not fully understood. The resource is easy to use and navigate to either specific concepts or broader topics. The site also offers specific sections on the conversion of units (applicable to the sciences).
 Title Maths Online- Law of Sines URL http://www.univie.ac.at/future.media/moe/galerie/trig/trig.html#dreieck Materials needed Java software Flash 5 or higher Learning Objectives Students will be able to: discover how to use trigonometry when applied to multiple concepts Grade Levels Trigonometry CA 97 Standards Trigonometry 13.0 Students know the law of sines and the law of cosines and apply those laws to solve problems. CA Common Core State Standards Standards for Mathematical Practice: 1. Make sense of problems and persevere in solving them 2. Reason abstractly and quantitatively 3. Construct viable arguments and critique the reasoning of others 5. Use appropriate tools strategically 7. Look for and make use of structure 8. Look for and express regularity in repeated reasoning Geometry-SRT.11; 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). How could you use this resource? This resource can be used by students to get extra practice on the law os sines. It can also be used as a discovery tool for students by themselves or as a class with facilitation by the teacher. Teachers can use this resource in a demonstration or monitor students using it in the classroom. EL and Special Needs Visual applet that lets students experiment with different size triangles to discover the law of sines. Lesson Plans Share your lesson plan on MERLOT! See other teachers' lesson plans on MERLOT. Teacher Comments Share your comments on MERLOT! See other teacher comments on MERLOT. Cost Free Copyright (c) 1998
 Title Trigonometry (Applets and Activities) URL http://www.ies.co.jp/math/java/trig/ Materials needed Java software Learning Objectives Students will be able to: discover how to graph trigonometric functions such as sine, cosine, and tangent use the law of sines and cosines graph trigonometric functions in various forms Grade Levels Trigonometry CA 97 Standards Trigonometry 2.0: Students know the definition of sine and cosine as y- and x- coordinates of points on the unit circle and are familiar with the graphs of the sine and cosine functions. Trigonometry 4.0: Students graph functions of the form f(t)=Asin(Bt+C) or f(t)=Acos(Bt+C) and interpret A, B, and C in terms of amplitude, frequency, period, and phase shift. Trigonometry 5.0: Students know the definitions of the the tangent and cotangent functions and can graph them. Trigonometry 13.0: Students know the law of sines and the law of cosines and apply those laws to solve problems. CA Common Core State Standards Standards for Mathematical Practice: 2. Reason abstractly and quantitatively 3. Construct viable arguments and critique the reasoning of others 5. Use appropriate tools strategically 7. Look for and make use of structure 8. Look for and express regularity in repeated reasoning Functions-TF.2; Explain how the unit circle in the coordinate plane enables the extension of trigonometric functions to all real numbers, interpreted as radian measures of angles traversed counterclockwise around the unit circle. Functions-TF.3; Use special triangles to determine geometrically the values of sine, cosine, tangent for π/3, π/4 and π/6, and use the unit circle to express the values of sine, cosines, and tangent for x, π+x, and 2π–x in terms of their values for x, where x is any real number. Functions-TF.5; Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline. Geometry-SRT.11; 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). How could you use this resource? This resource can be used by students to practice trigonometric concepts and develop a better understanding of those concepts through visual representations. The teacher can use this resource as a method of introducing concepts to students through visual representations. EL and Special Needs Each of these applets has a visual representation of a trigonometric concept that can be explored by the student. Lesson Plans Share your lesson plan on MERLOT! See other teachers' lesson plans on MERLOT. Teacher Comments Share your comments on MERLOT! See other teacher comments on MERLOT. Cost Free Copyright (c) Not available on web site
 Title The Math Page: Trigonometry URL http://www.themathpage.com/aTrig/trigonometry.htm Materials needed Java software Learning Objectives Multiple learning objectives based on subject and subtopic. Grade Levels Geometry, Trigonometry CA 97 Standards Multiple standards for Geometry from the Mathematics Framework for California Public Schools. Multiple standards for Trigonometry from the Mathematics Framework for California Public Schools. CA Common Core State Standards Standards for Mathematical Practice: 1. Make sense of problems and persevere in solving them 2. Reason abstractly and quantitatively 3. Construct viable arguments and critique the reasoning of others 5. Use appropriate tools strategically 6. Attend to precision 7. Look for and make use of structure 8. Look for and express regularity in repeated reasoning Multiple standards for Geometry and Trigonometry from the California Common Core State Standards. How could you use this resource? This resource can be used by students as a development tool to better comprehend trigonometric concepts. Teachers can use this resource as a way to find lesson information or to present trigonometric information to students. EL and Special Needs Many of the explanations for the trigonometric concepts have some color coding to help EL students and special needs students identify parts of the trigonometric concepts. Lesson Plans Share your lesson plan on MERLOT! See other teachers' lesson plans on MERLOT. Teacher Comments Share your comments on MERLOT! See other teacher comments on MERLOT. Cost Free Copyright © 2001 - 2010 Lawrence Spector
 Title Web Math URL Materials needed Computer Learning Objectives Learning objectives vary by concept. Grade Levels K-8, Algebra 1, Geometry, Calculus, Trigonometry CA 97 Standards Multiple standards from the Mathematics Framework for California Public School. CA Common Core State Standards Standards for Mathematical Practice: 1. Make sense of problems and persevere in solving them 2. Reason abstractly and quantitatively 3. Construct viable arguments and critique the reasoning of others 4. Model with mathematics 5. Use appropriate tools strategically 6. Attend to precision 7. Look for and make use of structure 8. Look for and express regularity in repeated reasoning Covers multiple CaCCSS across grade levels and strands. How could you use this resource? Students could use this as a resource for review or to clarify topics discussed in class but not fully understood. The resource is easy to use and navigate to either specific concepts or broader topics. The site also offers specific sections on the conversion of units (applicable to the sciences). EL and Special Needs Visual graphics display concepts and are interactive. Lesson Plans Share your lesson plan on MERLOT! See other teachers' lesson plans on MERLOT. Teacher Comments Share your comments on MERLOT! See other teacher comments on MERLOT. Cost Free Copyright (c) 2009 WebMath.com

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