Lesson plan



|Teacher: Cathy Hobensack |School Year: 2014-2015 |

|Course: Applied Trigonometry |Intended Grade Level: 12th |

| |

|Course Summary This course will begin with a review of right triangle concepts and radical properties before moving to the trigonometric functions and angles in |

|standard position. We will study the trig functions, beginning with SOHCAHTOA, the graphs of each of the trigonometric functions, the Unit Circle, and oblique |

|triangles. Analytical trigonometry, which involves trig identities and equations will follow and we will end with applications of trigonometry, vectors, complex |

|numbers, and polar coordinates and equations. |

|Course Outcomes: |

|By the end of the course, students will know: the three basic trigonometric functions of the sine, cosine, and tangent, algebraically and graphically, and how to |

|use them in triangles to find altitudes, magnitudes, directions, distances and angles measures. |

| |

|By the end of the course, students will be able to: (1) see the relevance of trigonometry in everyday life and (2) apply the above knowledge of periodic |

|trigonometric functions to natural phenomena such as astronomy, navigation, architecture, tides, monthly temperatures, heartbeats, and/or electrical currents… |

| |

|Standards Targeted[1] |

|Common Core State Standards |

|NCTM Standards |

|Units of Study |

|Units Topic |Primary Learning Outcome |

|Introduction to Trigonometric Functions |Review and use geometric terms and concepts as they relate to trigonometry, |

| |investigate similar triangles and their properties, find function values of any |

| |angle, and apply trigonometric functions to find missing lengths and angles |

|Acute Angles and Right Triangles |Find trigonometric function values of acute angles and non-acute angles, use the |

| |calculator to find trigonometric function values, solve right triangles, solve |

| |applied trigonometric problems involving angles of elevation and depression, and |

| |bearings |

|Radian Measure and Circular Functions |Use and apply radian measure, find function values of any angle in radian |

| |measure, evaluate circular functions using the unit circle, find angular and |

| |linear speeds |

|Graphs of Sinusoidal Functions, and other Trigonometric Functions |Graph periodic functions sine and cosine, identify and graph translations of the|

| |sine and cosine graphs, graph the tangent, use trigonometric functions and graphs|

| |to interpret phenomena that are periodic |

|Trigonometric Identities |Use fundamental identities, verify trigonometric identities, use and apply |

| |difference identities for cosine, sine, and tangent, use double-angle identities,|

| |and use half-angle identities |

|Inverse Circular Functions and Trigonometric Equations |Use and find function values of inverse circular functions for the sine, cosine, |

| |tangent, solve trigonometric equations using fundamental identities, double and |

| |half angle identities, and inverse identities |

|Applications of Trigonometry and Vectors |Solve oblique triangles using the law of sines, solve oblique triangles using the|

| |law of cosines, use operations of vectors, and apply vectors |

|Complex Numbers and Polar Equations |Review complex numbers and their operations, write the trigonometric form of |

| |complex numbers, use the product and quotient theorems in trigonometric form, use|

| |De Moivre’s Theorem, and graph and solve polar equations |

| | |

|Advanced Learner Recommendations |

|Advanced learners in Applied Trigonometry should consider taking Academic Trigonometry. Advanced learners can see the teacher for a higher level/more motivating |

|application to real world problems. These students can focus on the conceptual thinking by doing less practice problems and more concept check and application |

|problems. |

|Struggling Learner Recommendations |

|Flex period is available to struggling learners to get help with homework or review material covered in class. Struggling students can get extra practice and |

|tutorial online help, , which is directly correlated with this course and textbook. Struggling students enroll in Applied Trigonometry will |

|concentrate on the three basic trigonometric functions of the sine, cosine, and tangent. Testing offers multiple choice, matching, true/false problems along with |

|the regular completion problems. |

| |

|IEP Students: All accommodations included in student’s Individual Educational Plan will be followed and modifications to the regular trigonometry curriculum will |

|be made as needed for extra practice, testing, and homework by the learning support teacher. |

-----------------------

[1] Indicate primary Standards emphasis:

- PA Core - Math / ELA / Science & Technology / History & Social Studies

- National Content Standards (Name and Type)

- Industry Recognized Standards (Name and Type)

................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download