MEDT 7472
Mary Leigh Sellers
November 18, 2012
Instructional Design Plan Dr. Huett
Unit Title: Right Triangle Trigonometry
8 th Grade Accelerated Algebra 1
Common Core Standards Addressed:
Define trigonometric ratios and solve problems involving right triangles.
47.MCC9‐12.G.SRT.6 Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles.
48.MCC9‐12.G.SRT.7 Explain and use the relationship between the sine and cosine of complementary angles.
49.MCC9‐12.G.SRT.8 Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.
Learning objectives:
In this unit students will:
• explore the relationships that exist between sides and angles of right triangles.
• build upon their previous knowledge of similar triangles and of the Pythagorean Theorem to determine the side length ratios in special right triangles
• understand the conceptual basis for the functional ratios sine and cosine
• explore how the values of these trigonometric functions relate in complementary angles
• use trigonometric ratios to solve problems
• develop the skills and understanding needed for the study of many technical areas
ENDURING UNDERSTANDINGS
• Similar right triangles produce trigonometric ratios.
• Trigonometric ratios are dependent only on angle measure.
• Trigonometric ratios can be used to solve application problems involving right triangles.
Activities:
1.
Students will watch a narrated Jing Video introducing the unit and explaining how the unit works.

MEDT 7472
Mary Leigh Sellers
November 18, 2012
Instructional Design Plan Dr. Huett
2.
Introductory Video – Students will view an introductory video from Discovery Education called
“Right Triangle Trigonometry”.
Assignment: Introductory Video (need to provide link)
Instructions read: Please take a few minutes to view the Discovery Learning video introducing right triangles. As you watch, keep notes of terms and concepts that you already know, terms and concepts that are familiar but need to be reviewed and terms and concepts that you need to learn about. Kind of like a KWL chart... but this is more of a KRL chart (Know/Review/Learn). Create a word document and drop this in the drop box. (be sure this is coming up (drop box) 5 pts
3.
Vocabulary Building – Frayer Model
Description: You will be developing the necessary vocabulary to understand and work with right triangles, the Pythagorean Theorem and right trigangle trigonometry.
Instructions: Students will use the Frayer Model to create vocabulary cards for terms in the unit.
Terms include right triangle, special right triangle (45/45/90), special right triangle (30/60/90), trigonometric ratio, tangent of angle, tangent ratio, sine ratio, cosine ratio, inverse trigonometric ratio, inverse tangent, inverse sine, inverse cosine, adjacent side, opposite side, complementary angles, similar triangles, Pythagorean Theorem. Students can use the following websites for definitions, examples and practice. a.
http://wvde.state.wv.us/strategybank/FrayerModel.html
b.
http://oame.on.ca/main/files/thinklit/FrayerModel.pdf
c.
http://www.teachers.ash.org.au/jeather/maths/dictionary.html
d.
http://intermath.coe.uga.edu/dictnary/homepg.asp
e.
http://www.graniteschools.org/depart/teachinglearning/curriculuminstruction/math/Docu ments/Vocabulary%20Documents/Vocabulary%20Cards%20Secondary%201%20A%20thru%
20L.pdf
f.
http://www.graniteschools.org/depart/teachinglearning/curriculuminstruction/math/Docu ments/Vocabulary%20Documents/Vocabulary%20Cards%20Secondary%201%20M%20thru
%20Z.pdf
4.
Standard: 49.MCC9‐12.G.SRT.8 Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.
Students will review the Pythagorean Theorem, solve for unknowns and use to solve real-life problems. a.
Students will view a video from Discovery Education on Right Triangles and the Pythagorean
Theorem.

MEDT 7472
Mary Leigh Sellers
November 18, 2012
Instructional Design Plan b.
Students will access the Investigating Geometry: Right Triangles, Lesson 7.2 – The
Pythagorean Theorem (website hosted by Henrico County Public Schools)
Dr. Huett
( http://teachers.henrico.k12.va.us/math/igo/07RightTriangles/7_2.html
) c.
Warm Up – Algebraic Review, 7.2 Warm Up (answers will be provided on my course page)
1. 10, 2. 2√5 , 3. 2√23 , 4. 15, 5. 4√3 d.
Lecture Notes – Students will view the Pythagorean PPT, print out a notes copy and complete the practice problems e.
Students will view the visual proofs of the Pythagorean Theorem using the Geometers
Sketchpad Link for Lesson 7.2 f.
Students will complete the self-check quiz for immediate feedback on their progress. g.
Students will use the Pythagorean Theorem to solve real-life problems using the online applet and the Puzzles and Problems link. h.
Students will complete the lesson with the Hands-On Activities (Proof A and B) and the
Reducing Radicals Powerpoint. i.
Students will complete homework/practice problems by completing the Kuta Worksheet for
Pythagorean Theorem ( http://www.kutasoftware.com/FreeWorksheets/GeoWorksheets/8-
The%20Pythagorean%20Theorem%20and%20Its%20Converse.pdf
and http://www.kutasoftware.com/FreeWorksheets/GeoWorksheets/8-Multi-
Step%20Pythagorean%20Theorem%20Problems.pdf
) j.
Students will respond to a Discussion Question: Why is the Pythagorean Theorem useful?
Give an example of a situation where using the Pythagorean Theorem might be used.
5.
49.MCC9‐12.G.SRT.8 Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems (now applied to Special Right Triangles)
Students will investigate the two special right triangles, 45/45/90 and 30/60/90, solve for unknowns and solve real-life problems. a.
Students will view a video from Discovery Education on Special Right Triangles. b.
Students will learn by the Discovery Method using GaDOE “Discovering Special Triangles
Learning Task” activity. i.
Students will complete the activity to determine the relationships of the sides of special triangles. ii.
Students will access a Wikipage or Discussion Board to post their results and compare their conclusions with those of two other students. c.
Students will access the Investigating Geometry: Right Triangles, Lesson 7.3 – Special Right
Triangles (website hosted by Henrico County Public Schools)
( http://teachers.henrico.k12.va.us/math/igo/07RightTriangles/7_3.html
) d.
Warm Up – Algebraic Review (immediate feedback given online), e.
Lecture Notes – Students will view the Special Right Triangles PPT, print out a notes copy and complete the practice problems

MEDT 7472
Mary Leigh Sellers
November 18, 2012
Instructional Design Plan Dr. Huett f.
Students will practice using the 45/45/90 and 30/60/90 relationships using the Geometers
Sketchpad Link for Lesson 7.3. g.
Students will complete the self-check quiz for immediate feedback on their progress. h.
Students will complete homework/practice problems using the Kuta Worksheets for Special
Right Triangles ( http://www.kutasoftware.com/FreeWorksheets/GeoWorksheets/8-
Special%20Right%20Triangles.pdf
)
6.
47.MCC9‐12.G.SRT.6 Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles.
Students will discover the trigonometric relationships in right triangles, use these to solve for unknowns and solve real-life problems using trigonometric relationships. a.
Students will view a video from Discovery Education on Trigonometric Relationships and
Right Triangles. b.
Students will learn by the Discovery Method using GaDOE “Create Your Own Triangles
Learning Task” activity. i.
Students will complete the activity to determine the relationships of the sides of special triangles. ii.
Students will access a Wikipage or Discussion Board to post their results and compare their conclusions with those of two other students. iii.
Students will practice determining these ratios using the Kuta Practice Sheet
( http://www.kutasoftware.com/FreeWorksheets/GeoWorksheets/9-
Trigonometric%20Ratios.pdf
) iv.
Students will practice determining inverse trig relationships using the Kuta Practice
Sheet ( http://www.kutasoftware.com/FreeWorksheets/GeoWorksheets/9-
Inverse%20Trigonometric%20Ratios.pdf
) c.
Students will access the Investigating Geometry: Right Triangles, Lesson 7.4 – Right Triangle
Trigonometry (website hosted by Henrico County Public Schools)
( http://teachers.henrico.k12.va.us/math/igo/07RightTriangles/7_4.html
) d.
Warm Up – Algebraic Review (immediate feedback given online), Current Lesson (students can use a calculator to determine these values) Answers will be given on my website. e.
Lecture Notes – Students will view the Right Triangle Trigonometry PPT, print out a notes copy and complete the practice problems f.
Students will see a visual representation of the angle of elevation and how this relates to right triangles and trigonometric relationships using the Geometers Sketchpad link for
Lesson 7.4. g.
Students will complete the self-check quiz for immediate feedback on their progress.

MEDT 7472
Mary Leigh Sellers
November 18, 2012
Instructional Design Plan h.
Students will use the Applet to see a visual representation of how the angles and
Dr. Huett trigonometric relationships change as angle measures change. i.
Students will complete the Hands-On Activities to explore sine, cosine, and tangent. j.
Students will complete the calculator practice to ensure mastery of this needed skill. k.
Students will get immediate feedback as they practice two online quizzes prior to completing homework. l.
Students will practice solving right triangles by completing the Kuta Practice Worksheets
( http://www.kutasoftware.com/FreeWorksheets/GeoWorksheets/9-
Solving%20Right%20Triangles.pdf
and http://www.kutasoftware.com/FreeWorksheets/GeoWorksheets/9-Multi-
Step%20Trig%20Problems.pdf
) m.
Students will respond to a Discussion Question: How can you remember the trigonometric relationships? When are they applicable and how are they used correctly?
7.
Students will complete a Partner Summative Performance Task by completing the “Find That Side or
Angle Learning Task” by accessing a Wikipage. Students will complete questions, compare results, discuss commonalities and differences and complete and submit the Learning Task.
8.
Students will complete a Summative Multiple Choice Unit Test.
Assessments:
Assessments are embedded in each lesson for the unit. There are warm up assessments, formative assessments in the form of practice problems with keys and online ‘checks’ and summative assessments in the form of a paper/pencil test and GaDOE learning tasks.
Module Design:
This module will be set up as a unit with lessons based on topics using folders. Modules will contain all necessary links, pdfs, embedded videos and powerpoints (where possible). Until I am able to get into the course design program, I cannot say more specifically how this will be developed.
Interactivity and Collaboration:
Many of the lessons involve animations and are interactive in this manner. Two learning tasks are completed collaboratively, one using a discussion board and the other a wikipage. Students will respond to discussion questions as well to encourage student-to-student interaction.
Use of Technology:
Students use applets, animation, videos, and online practice quizzes. Students also submit assignments online. Communication with the instructor is through e-mail.

MEDT 7472
Mary Leigh Sellers
November 18, 2012
Instructional Design Plan
Learner Support:
A “How To Do This Online Course” sheet will be developed with tips and reminders.
Dr. Huett
Additional website such as Purplemath ( http://www.purplemath.com/ ), SOSmathematics
( http://www.sosmath.com/ ), and others will be given for sources of additional practice.
Teacher contact information will be given along with ‘office hours’ where the teacher will be available for immediate help.
A “HELP” question the discussion board will be developed so students can ask for help from each other.
Any support given by other students is encouraged up to the Unit Online Test and Partner Summative
Performance Task.