Advanced+Math+Archive


 * Help Mrs. Post do her homework by completing this** [|**survey**]

Updated 6/4 =Advanced Math=

Study Guide for Spring 2009 Final Exam
That's what the opening pop-up alert was all about. Try installing the latest Flash Player.** "Show Me" - Level 1, 2, 3 || Ls. 90: 20, 21 || media type="custom" key="4282029" || Triangles, Trapezoids, Sectors and Segments__** (Ls. 56) || Ls. 66: 25 Ls. 67: 28 Ls. 85: 30 || media type="custom" key="3901429" || __**Law of Cosines**__ (Ls. 81) || Ls. 85:20 Ls. 89: 24 Ls. 90: 21 Ls. 92: 20 || media type="custom" key="3901427" || Ls. 83: 22 || media type="custom" key="3901425" || Ls. 74: 24, 25, 26 || media type="custom" key="3901421" || Ls. 74: 27 || media type="custom" key="3901417" || Ls. 92: 13 Ls. 99: 28 Ls. 97: 22 Ls. 77: 18 Ls. 78: 19 Ls. 84: 24 ||  || media type="custom" key="3901409"media type="custom" key="3901411"media type="custom" key="3901413"
 * Note: If you don't see the image referred to below it probably means that you don't have the Flash 9.0 or higher player installed.
 * = **Big Ideas** ||= **Example Problems** ||  ||
 * **__Trig Identities__** (Ls. 76, 80, 84)
 * **__Using Trig to Find Areas of
 * **__Law of Sines__** (Ls. 72)
 * __**Graphs of Periodic Functions**__ (Ls. 43, 47, 57, 66)
 * Vertical Shifts, Amplitude, Centerline
 * Period
 * Horizontal Shifts || Ls. 78: 22
 * **__Solving Trig Equations__** (Ls. 50, 52)
 * Factorable Trig Equations (Ls. 60)
 * Multiple Solutions || Ls. 73: 22, 23, 24
 * **__Evaluating Trig Equations__** (Ls. 36, 39, 48)
 * Radians
 * Angles greater than 360
 * Inverse Trig Functions
 * Powers || Ls. 73: 27
 * **__Conics__**
 * Circles (Ls. 42, 63 - completing the square)
 * Parabolas (Ls. 54, 58 68 - completing the square, focus definition)
 * Ellipses (Ls. 71, 89 - completing the square, focus defintion)
 * Hyperbolas (Ls. 78) || Ls. 84: 23

Updated 4/26 Mathcasts of Lesson 57 (Part "O") and Lesson 60 & 65 (Part "P") media type="custom" key="3707547" Ls. 49: 14, 15 Ls. 51: 18, 19 Ls. 53: 18, 19 Ls. 55: 20, 21 || Ls. 50: 11, 12 Ls. 52: 14, 15 Ls. 54: 17, 18 || Ls. 52: 9, 10, 11 Ls. 54: 12 ,13, 14 Ls. 56: 17, 18, 19 || Ls. 59: 16, 17 Ls. 61: 21, 22 Ls. 63: 21, 22 Ls. 65: 23, 24 || Radicals in Trig Equations (Ls. 65) || Ls. 64: 16, 17, 18 Ls. 65: 9, 10, 19 Ls. 66: 10, 11, 12 Ls. 67: 20, 21, 22 Ls. 68: 20, 21, 22 || "as a sine function" or " as a cosine function" || Ls. 67: 10, 11 Ls. 69: 13, 14 Ls. 71; 15, 16 Ls. 73: 17, 18 Ls. 75: 16, 17 ||
 * __Current Assignments:__**
 * L- Vertical Shifts (Ls. 47) || Ls. 47:7, 8
 * M - Powers of Trig Functions (Ls. 48) || Ls. 48: 9, 10
 * N - Solving Trig Functions (Ls. 50, 52) || Ls. 50: 8, 9
 * O- Phase Shifts & Period (Ls. 57) || Ls. 57: 8, 9
 * P - Factorable Trig Equations (Ls. 60);
 * Q - Write as a period functions (Ls. 66)
 * Enrichment/Extra Credit: Given the equation, sketch the sine or cosine function (see Lesson 84) - 2 points each.**

Updated 3/29 Current Assignments: Arcsin, Arccos, Arctan || Ls. 32: 7 Ls. 33: 7 Ls. 34: 13 Ls. 35: 15 Ls. 36: 13, 14 Ls. 37: 15 || (angles greater than 360) || Ls. 36: 24, 25 Ls. 37: 21 Ls. 38: 23 || Ls. 40: 14, 15, 16 || secant, cosecant, cotangent || Ls. 41: 6, 7 Ls. 42: 10, 11 Ls. 43: 11, 12 Ls. 44: 11, 12 Ls. 45: 14, 15 || Graphs of the sine, cosine functions (Ls. 43) Amplitude, Range, Period || Ls. 43: 7, 8 Ls. 44: 7, 8 Ls. 45: 10, 11 Ls. 46: 12, 13 || Update 3/27 Trig Flash Cards - [] Unit Circle Exploration - [] Unit Circle Pre-assessment [] Unit Circle Spaghetti Activity []; [] Use this file to explore the sine, cosine and tangent graphs.
 * __Intermediate Trigonometry:__**
 * G - Inverse Functions (Ls. 32)
 * H - Coterminal Angles (Ls. 36)
 * I - Radian Measures (Ls. 39) || Ls. 39: 10, 11, 12
 * J - Reciprocal Trig Functions (Ls. 41)
 * K - Periodic Functions

__**Enrichment Question**__**:** 1) Draw a graph of //y// = sin //x// in your notebook, this time including two complete periods, from //x// = –360° to //x// = 360°. Do the same for //y// = cos //x// on a different set of axes. Describe the domain, range, maxima, minima, and intercepts of each graph. 2) What happens to the sine value on the unit circle at 180°? How will you show that on the function graph? 3) What happens to the cosine value on the unit circle at 180°? How will you show that on the function graph? 4) What happens to the cosine value on the unit circle at 90°? How will you show that on the function graph? __**Honors Extension:**__ Draw the tangent, cotangent, secant, and cosecant functions using notebook paper, graphing calculator and/or computer geometry program.

Blank Unit Circle: Complete Unit Circle: Info on How the Special Triangles are derived: Using your Graphing Calculator to see the relationship between Unit Circle and the graphs of the sine and cosine functions. [] []
 * Intro to Trig Unit**

Here is a list of assignments for the **Intro to Trig Unit**//Please note the "enrichment problems" - these questions are optional, but will result in extra credit points. Use your book and online resources to find the answers and give them to me in class. Deadline for questions from this unit is March 20.// **(A)Basic Trig Ratios (Ls. 14 A, B) -** worksheet (due 2/28) Ls. 14:4 Ls. 15:4 Ls. 16:4 Ls. 22:3
 * Trig Word Problems** - problems in the book (due 3/3)

 __Enrichment:__1) What is the domain and range of the sine, cosine and tangent functions? Use your calculator to explore. 2) Create a realistic trig problem from your world (calculating shadow, height of flagpole, etc.) Use real data. Write the problem and then write out your solution. **(B) Polar Coodinates** **(Ls. 14 C, D)**- - problems in the book (due 3/9) Ls. 15:7, 8, 9, 10 Ls. 16: 13, 14, 15, 16 Ls. 20: 9, 10, 11 Ls. 21: 11, 12 Ls. 22: 13, 14 Ls. 23: 13, 14 __Enrichment:__ Using the book and online resources, write out how the reference triangles were "derived." (where do we get the numbers from?) (see p. 145-146) **Quiz - 3/13** - very quick quiz - can you sketch two reference triangles and find the sine, cosine and tangent of the 30, 60 and 45 degree angles? Ls. 24:13 Ls. 25:14, 15 Ls. 26: 15, 16, 17 Ls. 27: 16, 17, 18 Ls. 28: 16, 17
 * Quiz - 3/10** **(C) Special Triangles (Ls. 20)** - problems in the book (due 3/11)
 * (D) Sums of Trig Functions (Ls. 24)** - problems in the book (due 3/13)

 __Enrichment:__1) How is the tangent ratio related to the sine and cosine ratio? Write the tan ratio in terms of sine and cosine. 2) What is the graph of the sine, cosine and tangent functions look like? Ls. 29: 17, 18, 19, 20 Ls. 30: 17, 18, 19 Ls. 32: 19, 20 Ls. 33: 19 Ls. 34: 23 Ls. 35: 24
 * (E) Unit Circle (Ls. 29)** - problems in the book (due 3/16)

Greetings from Hershey! Here is your one-stop page for all of the links to the **Investigative Activities** we are going to do this week! Enjoy!

Conics Unit - Book Problems**____**

**__Directions to Website and Login Information:__**
[|http://www.explorelearning.com]

On my homepage you will see a tab for **Advanced Math** Choose the Gizmo you want to work with and then click on **Launch Gizmo

You will need a copy of the Investigation Guide in order to complete this assignment.**

//**You should not go to any other site other than my wiki, PETE & C and Explore Learning.**//

Daily Plans: Ellipse A Investigation __Assignment__: Fill in answers on observation sheets.
 * __Monday__**

Ellipse B Investigation __Assignment__: Fill in answers on observation sheets.
 * __Tuesday__**

__Book Problems - Ellipses 1 & 2__
 * __Wednesday__**

__Book Problems - Ellipses 1 & 2__
 * __Thursday__**
 * __If Time: Hyperbolas__**

Mrs. Post is attending the **Pennsylvania Educational Technology Expo & Conference** (PETE & C) in Hershey, PA during the week of 2/7-2/11. Mrs. Post will be an intern at the conference, helping out with all aspects of the conference including registration and introducing workshop speakers. Mrs. Post will also be presenting a workshop with her advisor called "Assessibility that is Readily Accessible" which covers all of the technology that is already on your computer that will help those with special needs (like visual, mobility impairements). Check out the conference page [|here].

http://mathbits.com/MathBits/StudentResources/Algebra2/TrigCachingWorksheet.pdf