Matthew+Gama

Matthew Gama March 26, 2015 Diverse Text Set for Trigonometry in a Pre-Calculus 12th Grade Class
 * __ Context for using this text set: __** This text set is to provide a collection of resources for a student in a 12th grade Pre-Calculus course that is going over Trigonometry. Trigonometry is a big part of the pre-calculus course and many students have trouble with some of the concepts in the unit because they are not properly prepared. The unit contains a lot of memorization because of all the definitions and the numbers that go along with the definitions. Also, there is a lot of use of the Pi which may be difficult to some students when trying to simplify. This text set will give the students helpful texts and other resources that can aid them throughout the unit of trigonometry. These resources should give those students tips and extra information on material that is in trigonometry. The many different types of resources in this text set should provide at least one successful aid for each type of learner.
 * __ Text Set: __**
 * A. Print Resources: **
 * Text #1: **
 * Citation: Why Do We Study Trigonometry? (n.d.). Retrieved March 24, 2015, from http://www.pages.drexel.edu/~so29/whytrig.htm
 * Text Summary: This resource is an article that explains some reasons on why do we study trigonometry? The article explains how trigonometry is used by engineers, astronomers, surveyors, and other jobs. For example, Astronomers used trigonometry to determine the distances between objects in space which is very important.
 * Rationale: This article was selected because it is a simple and easy way for students to know why they need to cover trigonometry. Students in math, always question the reason for learning concepts because they believe they will never have to use them but this shows some examples of careers that use trigonometry and why it is important to learn.
 * Use of text: The students can use this article as a way of giving them drive to learn the material because they know why they are learning it. This article can be used as an introduction to the unit so the students will understand why they will be taught trigonometry.
 * Attachment: See text 1 for link


 * Text #2: **
 * Citation: Lippman, D., & Rasmussen, M. (2014). //Precalculus: an investigation of functions// [297-518]. San Francisco, California: Create Space Independent Publishing Platform.
 * Text Summary: In the second portion of the book, trigonometry is the focus. Trigonometry is shown by right triangles as well as circles while is focuses on identities of trigonometry in this text. The rest of the trigonometry section focuses on different problems of trigonometry visiting all of its functions.
 * Rationale: This textbook is used for students who may need more than one textbook to understand the material. Another textbook gives them another author which gives different ways of learning trigonometry.
 * Use of text: This textbook can be used for a reference when student may not understand the class’ textbook. Student can also use the problems in this textbook as more practice problems if there are not enough in the regular textbook like when doing homework.
 * Attachment: See the following link for the PDF of the textbook: http://www.opentextbookstore.com/precalc/1.4/Precalc.pdf


 * Text #3: **
 * Citation: Gibilisco, S. (2003). //Trigonometry demystified.// New York, NY: McGraw-Hill Professional Publishing.
 * Text Summary: This book covers the key aspects of trigonometry like how angles are measured and the relationship between angles and distances. Also, it helps students understand coordinate systems, and calculating distance based on parallax, and reading maps and charts. The book focuses on all of the important concepts of trigonometry while going in depth for those concepts.
 * Rationale: This book was selected because this is a book that focuses just on trigonometry unlike the pre-calculus textbooks. This book will help students that cannot grasp all the concepts of trigonometry because it goes in depth of each part of trigonometry.
 * Use of text: This book can give the students a book that explains trigonometry in detail to go along with their textbook. It will give them reference to look to go along with their textbook.


 * Text #4: **
 * Citation: PI. (2005, January 1). Retrieved March 26, 2015, from http://www.math.com/tables/constants/pi.htm
 * Text Summary: This article gives history and examines what Pi is and what is actually means. It starts with explaining the history of Pi and why and how Pi is used in mathematics.
 * Rationale: This resource was selected because Pi is used throughout trigonometry but most students do not actually know what it means. This gives background to Pi and reasons for why it is used for students who are unfamiliar with it and have little background knowledge.
 * Use of text: This article would be used when talking about the unit circle and radians because they focus on Pi. The students would be able to use the article when going over these subjects so they understand why they are doing what they are doing.
 * Attachment: Link in citation of text 4
 * Text #5: **
 * Citation: Morgan, D. (2013, May 8). Trigonometry Poem. Retrieved March 26, 2015, from https://prezi.com/sowff0wan1kk/trigonometry-poem/
 * Text Summary: This resource is a poem that is a helpful and fun way to remember and learn the parts of trigonometry.
 * Rationale: I chose this poem because most of the time poems are not used in math but some students excel in literature and this poem gives them a way to learn trigonometry while using a literary technique.
 * Use of text: This poem can be used at the beginning of the semester when students are learning the basics of trigonometry. The poem will give the students a fun way of learning the parts of trigonometry.
 * Attachment: Poem is in the link for text 5


 * B. Media Resources **


 * Text #6: **
 * Citation: Jane. (2011, September 6). //Trigonometry Lessons Part 1: Definitions// [Video file]. Retrieved March 24, 2015 from https://www.youtube.com/watch?v=0UM5xzerIC0
 * Text Summary: This video contains an introduction to Trigonometry with definitions to all the key parts on trigonometry. It focuses on key terms that will be important to remember to succeed in trigonometry.
 * Rationale: I would use this video as a resource when going over the text because some students may not be the best readers but are proficient in learning by visuals and audio. This video gives the students an overview of trigonometry with a second chance at being taught the material audibly instead of by reading the book.
 * Use of text: This video can be used with students to give them a backup teaching of the basics of trigonometry. This video can be used when the students are at home and need to remember the definitions and values of those definitions.
 * Attachment: See link for text 6


 * Text #7: ** Jane. (2011, September 6). //Trigonometry Lessons Part 1: Definitions// [Video file]. Retrieved March 24, 2015 from https://www.youtube.com/watch?v=0UM5xzerIC0
 * Citation: ItsMsPruitt. (October, 14 2013). //Memorizing the Unit Circle Using Left Hand Trick// [Video file]. Retrieved March 24, 2015 from https://www.youtube.com/watch?v=LE6dmczMc68
 * Text Summary: This video contains a left hand trick that is used to find the cosine and sine of different angles of the unit circle. The video explains the trick and how it can be used to find the sine and cosine which leads to finding the tangent, cotangent, cosecant, and secant.
 * Rationale: This video was selected for students who are not great at memorizing formulas and values for a huge unit circle. This video gives a trick for students using their hand which brings them back to counting with their fingers. It is a fun and helpful way to find the values of cosine and tangent for certain angles.
 * Use of text: This video can be shown in class to show the students the trick on how to find the cosine and tangent. This should give the students a shortcut on how to find the values while not having to memorize a ton of values.
 * Attachment: See link to text 7


 * C. Online interactive resources **
 * Text #8: **
 * Citation: The Unit Circle. (n.d.). Retrieved March 22, 2015, from http://www.coolmath.com/precalculus-review-calculus-intro/precalculus-trigonometry/28-the-unit-circle-01
 * Text Summary: This resource is a nice review of the unit circle which is a big part of trigonometry. It is interactive and helps students try and learn the unit circle so they can do problems in trigonometry. The unit circle is needed to answer many questions in trigonometry and is essential for success in this unit.
 * Rationale: I chose this resource because it is a fun and easy way for a student to try and memorize the unit circle. This will help students who have trouble memorizing because it picks apart the unit circle and helps you find out how each value is found.
 * Use of text: This review will be used for students to review their unit circle or learn their unit circle. This is given an aid to help the students learn the unit circle as fast as they can because it is important in trigonometry.
 * Attachment: See attachment #8 for the review


 * Text #9: **
 * Citation: Anderson, D. (2012, January 31). SOH-CAH-TOA. Retrieved March 24, 2015, from http://www.purposegames.com/game/soh-cah-toa-game
 * Text Summary: This resource is a game that students can play that focuses on the shortcut for finding the sine, cosine, tangent, cosecant, secant, and cotangent of an angle. It test the students’ knowledge of the rule called “sohcahtoa” which gives them an easy way to find the values of the trigonometry functions.
 * Rationale: This resource was selected because some students tend to not understand how “sohcahtoa” works as an acronym. Students who have trouble with the trigonometry functions can practice with a game to help them learn the functions.
 * Use of text: This will be used with the students as a review game to let them enjoy learning the trigonometry functions. This game can get them to learn “sohcahtoa” and why it helps them learn the functions.
 * Attachment: See text 9 for link
 * D. Instructional Resources **
 * Text #10: **
 * Citation: Robin, C. (n.d.). Trigonometry Unit. Retrieved March 26, 2015, from https://mcla.digication.com/5127/Lesson_Plan-Introduction_to_Trigonometry
 * Text Summary: This resource is a unit plan for trigonometry that maps out the whole unit and what will go into it. This is a teacher’s plan that maps out the learning objectives and the daily work that the students will have to do. It maps out how to teach the trigonometric functions, how to apply them to triangles, angles, and real life situations.
 * Rationale: This resource was selected for me as the teacher because it maps out an example of a teacher doing a trigonometry unit. This unit plan gives me the background information and background knowledge of the unit so I will have an example on how to teach trigonometry.
 * Use of text: I will use this resource when mapping out my unit plan for trigonometry because it is a successful way of teaching the unit. This will be very useful to the class and will help make the unit easier for the students to understand.
 * Attachment: See text 10 for link


 * __ Two Objectives: __**
 * Content: ** CCSS.MATH.CONTENT.HSF.TF.A/B/C: These three common core standards state that teachers should extend the domain of trigonometric functions using the unit circle, model periodic phenomena with trigonometric functions, and prove and apply trigonometric identities.
 * Reading: ** CCSS.ELA-LITERACY.RL.11-12.7: This standard talks about analyzing and interpreting stories or poems and this links to text #5 which is a poem on trigonometry. The poem when interpreted, give all the most important information on trigonometry.

When looking at the text set, at certain parts of the unit, some of the texts and resources can be used together. At no point will all ten resources be able to be helpful at the same time but each one can be used for help throughout the trigonometry unit. Some can be used at the same time like text #8 and text #4 because the unit circle goes together with learning about Pi. Also, text #9 and text #5 could go together because the poem goes over “sohcahtoa” which is what the game is focused on. Most of these resources can be used together but as a whole, each one is very useful throughout the trigonometry unit and will definitely give students extra aid when learning this unit.
 * __ Using the texts together: __**
 * __ Students: __**
 * Students with Matchup Assets: 1, 7, 8 (Connects out of School) **
 * Students with Matchup Gaps: 1, 4, 5, 7, 8 (Lacks out of school connections) **
 * Students with Mismatches: 1, 2, 3, 4, 5, 6, 7, 8, and 9 (Lacks many skills: Needs many extra materials) **
 * Non-Native English Speakers: 1, 4, 5, 6, 7, 8 (Needs help understanding definitions and English language) **