S3+Stevens+Newcomb

=Stage 3 Plan Learning Experiences and Instruction=


 * 1. (W)** **Where** (Understanding), **Why** (Real Life), **What** (MLR) and Product
 * 2. (H)** **Hook** (Engage)
 * 3. (E)** **Equip** (Content - Students will know...), **Explore** (Graphic Organizer), and **Experience** (Cooperative Learning)
 * 4. (R)** **Rethink, Revise, Rehearse,** and **Refine** (Timely Feedback)
 * 5. (E)** **Evaluate** (Self- Assessment)
 * 6. (T) Tailor** (Multiple Intelligences 6 to 8 and use each at least twice)
 * 7. (O)** **Organize** (Facet of Understanding - Students will be able to ...)

=Lesson 1= 2.Students will listen to an recorded informal lesson about Trigonometry **(Engage)**. 3.Students will use a web **(Explore)** that helps them recognize which Trigonometric functions to use and how to use them after they have learned how trigonometric functions work **(Equip):** they will do this in groups **(Expierience)** 4.Students will be asked to brainstorm ways Trigonometry can be practical (**Rethink)**. They will set up some of their own right triangle problems that I will approve and solve for the missing angles **(Revise)**. I will then evaluate them and they shall be allowed to fix their mistakes (**Refine)**. 5.Students shall write down how they think they did in a journal **(Self-Assessment)**. 6.(spatial) students shall draw out Trigonometry problems. (logical and interpersonal) The students shall communicate how they solved each problem with each other step by step; this process will go on in groups that the students choose themselves. (kinesthetic) students, collectively, shall move into a position of a right triangle, counting will be involved; more or less, they will act out a Trigonometry problem. (Intrapersonal) students will solve problems on their own. (linguisitc) students will be involved in class discussion involving the process and concepts of trigonometry: they will discuss the lesson and Trigonometry as if it were a novel **(Taylor)**. 7. Students are able to use trigonometric functions to solve for missing sides.Students will be able to use trigonometric functions to solve for missing lengths in right triangles. They will post their new found knowledge on a blog for other students to read **(Organize)**. || =Lesson 2=
 * **Consider the W.H.E.R.E.T.O. elements**. **(L)** ||
 * 1. Students understand that Trigonometry will solve for missing lengths in right triangles by using Trigonometric functions **(Where)**. This is can be used to negotiate the right traveling distances in the city or even in the Plains states **(Why)**. Students will solve for missing sides of right triangles **(What)**.

9. Students shall see a cirle for the first time used in Trigonometry. I will ask them what a circle is doing on the board **(Engage)**. 10. Students shall be shown the unit circle and its uses **(Equip)**. students shall then us a table **(Explore)** that has values of key angles and values of trigonometric functions **(Experience)**. 11. Students shall be assigned specific functions that they need to find values for **(Rethink)**. I will assess the students work **(Revise)** and I will give them the opportunity to correct their mistakes **(Refine)**. 12. Students shall write down how they think they did on the lesson **(Self-Assessment)**. 13.(Intrapersonal) student shall work on problems independantly. (Musical, Visual and Kinesthetic) students shall make a music video on the unit circle. (Naturalist) students will compare the unit circle to how the ocean's tides work. (interpersonal) Students will discuss problems involving the unit circle. All MI actvities involve a presentation of their work during class **(Taylor)**. 14.Students will be able to explain and find the value of trigonometric ratios for angles in right triangles. Students shall post their new found knowledge of the unit circle on a blog that other students can read **(Organize)**. || =Lesson 3=
 * **Consider the W.H.E.R.E.T.O. elements**. **(L)** ||
 * 8.Students will understand how to use the Unit circle **(Where)**. Students will see the graphs of these functions and how they corrilate with the ocean tides **(Why)**. Students shall use the unit circle **(What)**.

16. Students will watch a video backwards **(Engage)**. 17. Students will learn how inverse trigonometric functions are used **(Equip)** and they will be given a table **(Explore)** to corrilate with other trigonometric functions. students shall compare notes in groups **(Explore)**. 18.Students shall work on identifying how to inverse problems **(Rethink)**. They will then present them to me **(Revise)** and be given a chance to correct their mistakes **(Refine)**. 19.Students shall write down how they think they did on inverse trigononmetric functions **(Self-Assessment)**. 20.spatial) draw out trigonometric problems and show the advantages of inversing: they will present their work to the class and play teacher. (Musical) write a song about inverse trigonometric functions. (intrapersonal) work through prblems that involve inverse functions: they will play teacher by presenting their insights about the problems. (interpersonal) students will work together and come up with a consensus about how to solve each problem. The students will then present their solutions to the class. (logical) students will come up with a step by step process about how to solve the homework problems: this will involve some intrapersonal components as well and they will present their method to the class. (linguistic) students will write out the answers in poetry form. They will read their poem to the class. 21. Students will be able to interpret the missing angles or lengths of right triangles using inverse trigonometric functions. Students will post the ideas they found most helpful with inverse trigonometric functions and other students are able to read them **(Organize)**. || =Lesson 4=
 * **Consider the W.H.E.R.E.T.O. elements**. **(L)** ||
 * 15. Students will understand that inverse Trigonometric functions are used to solve for angles and sides in right triangles **(Where)**. The students will be asked about finding the length of the stairs on a staircase **(Why)**. Students will understand how inverse Trigonometric functions are used **(What)**.
 * (Taylor)**.

23. Students will present 3 things they learned that they have learned and/or was the most useful **(Engage)**. 24. Students will learn proper self assessment skills **(Equip)**. Students will use a T- chart with values of angles and sides with all six trigonometrc functions.**(Explore).** Students will discuss, in a mini seminar, on **(Explore)**//.// 25. Students will work on their self assessment **(Rethink).** Students will then present their ideas **(Revise)** They will then recieve feedback upon their ideas and revise them if neccessary **(Refine)**. 26.Students have been working on self-assessment all day **(Self-Assessment).** 27. (musical) write a song (quietly) about the unit: this will be a form of a test. (spatial) Student shall draw a comic about the unit that will cover the test material. (linguistic) write a poem that demonstrates the knowledge needed to take this test. (natrualist) students will classify the parts of the pre-test and then develop a strategy, based upon the classification about how to conquer the test: this would be treating the test like prey. (logical) student shall develope a test taking formula that they develope during the pre-test: they can use their formula in order to take the real test. 28. Students do work that involves all of their knowledge mathematically **(Organize).** Students will be able to be aware of which trigonometric functions to use in a given situation. || =Lesson 5=
 * **Consider the W.H.E.R.E.T.O. elements**. **(L)** ||
 * 22. Students will understand how to use what they have learned so far **(Where)**. Students will understand how important reviewing and maintaining skills are in all aspects of their lives **(Why)**. Students will study their blogs and journals **(What)**.

30. Students will be shown actual blue-prints. **(Engage)**. 31. Students will learn how to recognize uses of trigonometry **(Equip).** Students will use a web to brainstorm ideas **(Explore).** Students will share thier findings in groups **(Experience)**. 32. Students will work on their problems **(Rethink)**. Students will assess eachother and I will also intervine **(revise)**. Students will then fix their mistakes **(Refine)**. 33. Students will think of what was most important to them **(self-assessment)** 34. (spatial) Students will look at the problems in relation to space. (linguistic) Students will write a poem about the trigonometry of the house. (logical) Students will set up steps of proper home construction. (naturalist) Students will brainstorm ideas about how trigonometry can help someone interact with their environment in the home. (interpersonal) Students will ask others about why they think trigonometry is important to construction. (musical) Students will write a song about a house and its trigonometry. All of these activities will be presented during the following class. **(Taylor)** 35. Students will record a blog entry about their discoveries. **(Organize)** Students will be able to consider the real world uses of trigonometry. . || =Lesson 6=
 * **Consider the W.H.E.R.E.T.O. elements**. **(L)** ||
 * 29. Students will understand how to integrate all of their Trigonometric knowledge **(Where).** Students will be shown ways to use Trigonometry in the construction world **(why)**. Students will report on how they can use trigonometry **(What)**.

37.Students will watch an episode of //Home Improvement// **(Engage).** 38. Students will learn how to apply knowledge into a presentation **(Equip)**. Students will make a web of their own show's outline **(Explore)** then pick groups that share similar ideas **(Experience).** 39. Students will organize their show **(Rethink)** and present their ideas to me **(revise)**. I will allow them time to make changes to my feedback **(Refine)**. 40. Students will summarize their own caractors in the show **(self-assessment).** 41.(spatial) Students will make visual examples for video. (Linguistic) write the script. (Kinesthetic and Interpersonal) Students will act out charactors within their group. (intrapersonal) Students will create a charactor that is like themselves. (mathematical) Students will come up with the order of the script **(Taylor)**. 42. Students will be graded according to their video **(organize)** consider the real world uses of trigonometry**.** ||
 * **Consider the W.H.E.R.E.T.O. elements**. **(L)** ||
 * 36.Students will learn how Trigonometry is used in the construction world **(Where)**. Students will be shown recall their examples from last class **(Why)**. Students will produce a //Home Improvement// video about Trigonometry **(What)**.

2004 ASCD and Grant Wiggins and Jay McTighe