PRECALCULUS

//Updated: January 17th, 2013//

//What is the "FREQUENCY ALLOCATION SPECTRUM" - by the Washington Post// //^ allocation chart ^//

//-//

//Download Powerpoint and check your answers:// //Archives below...// __**FRIDAY, September 28th**__ //Quiz Today!// //Trig for Dummies cheat sheet// //Unit Circle on Khan Academy// //Unit Circle video//
 * //FINAL EXAM REVIEW//**
 * //Check Engrade for all further assignments!!//**

__**THURSDAY, September 27th**__ //Coorespondence between RADIANS and DEGREES in the Unit Circle// __**WEDNESDAY, September 26th**__ //Finish all homeworks// __**TUESDAY, SEPTEMBER 25th**__ // Page 105 #s 3-6 and 15-18 // // Classwork practice: // __**MONDAY, SEPTEMBER 24th**__ // Create the Unit Circle using page 103 and the classwork as a reference // __**FRIDAY, SEPTEMBER 21st**__ //** Homework (all past homeworks for this unit): **// // 1) On page 103 Figure 3-4d shows Quadrant I of the Unit Circle // // Your task is to complete the //// Unit Circle for Quadrants II, III, and IV // // using radians (like the pi/4) and degrees (like 45 degrees) // // 2) Page 68 Q1-Q5 // // 3) Define "coterminal angles" and "reference angle" // // 4) Page 57 #s 1, 5, 6, and 10 //
 * // Homework: //**
 * // Homework: //**

__**THURSDAY, SEPTEMBER 20th**__ WWBAT relate rotation and circular (perimeter/circumference) distance in order to appropriately define the relationship that exists between radians and degrees //** Homework: **// // Scan (read quickly) pages 100-103 // // On page 103 Figure 3-4d shows Quadrant I of the Unit Circle // // Your task is to complete the //// Unit Circle for Quadrants II, III, and IV // // using radians (like the pi/4) and degrees (like 45 degrees) //

WWBAT relate rotation and circular (perimeter/circumference) distance in order to appropriately define the relationship that exists between triangles and circles // Page 68 Q1-Q5 // // Page 69 #34 //
 * __ WEDNESDAY, SEPTEMBER 19th __**
 * // Homework: //**

__**TUESDAY, SEPTEMBER 18th**__ SWBAT: develop a relationship between triangles and circles // SOH-CAH-TOA // // sin/cos/tan // // opp/adj/hyp // // Unit Circle // // Scan pages 52-57 // // Define "coterminal angles" and "reference angle" // // Page 57 #s 1, 5, 6, and 10 //
 * Trig Toolkit **
 * // Homework: //**

__**MONDAY, SEPTEMBER 17th**__ Test today!

//Question about the Mandelbrot Portfolio Project? Some answers to your questions may be below://

Know what a "factor" is Know what "roots" are Know how to solve for x in different ways such as: complete the square, quadratic formula, diamond, add/multiply relationship
 * __FRIDAY, SEPTEMBER 14th__**

__**THURSDAY, SEPTEMBER 13th**__ GRASP and review for the exam

__**WEDNESDAY, SEPTEMBER 12th**__

Programming syntax example: Check it out here How do you think that we can program a computer to "answer" the GRASP for us?

__**TUESDAY, SEPTEMBER 11th**__ SWBAT: understand how fractals help to describe the world around us

//** QUIZ TODAY!! **//

__**MONDAY, SEPTEMBER 10th**__ SWBAT: determine the magnitude of a complex number

COMPLEX NUMBER ARITHMETIC handout // Page 2 #s 11,17 // // Page 3 # 20 // // Page 4 #s 27, 31 // COMPLETE THE SQUARE handout // # 6 // //** QUIZ TOMORROW!! **//

__**FRIDAY, SEPTEMBER 7th**__ SWBAT: visualize complex numbers on a complex plane

CLASSWORK: How does taking the absolute value of a complex number result in the **// magnitude //** of that complex number? HANDOUTS:

COMPLEX NUMBER ARITHMETIC handout // Page 3 # 22 // // Page 4 #s 28, 32 (E.C. #36) // COMPLETE THE SQUARE handout // #s 3, 7, 10 (E.C. #11) //
 * HOMEWORK: **
 * // QUIZ TUESDAY!!! //**

SWBAT: perform operations on complex numbers CLASSWORK: What does it mean to graph a complex number on the **// complex plane //** ?
 * __THURSDAY, SEPTEMBER 6th__**

HANDOUTS:

COMPLEX NUMBER ARITHMETIC handout // Page 2 EVENS // // Page 3 ODDS // COMPLETE THE SQUARE handout // #s 1,2,4 //
 * HOMEWORK: **

SWBAT: divide complex numbers CLASSWORK: // Precalculus w/ Trigonometry // textbook page 563-4 Define what the //** complex conjugate **// is and how to use it for complex division
 * __WEDNESDAY, SEPTEMBER 5th__**

HOMEWORK:

__**TUESDAY, SEPTEMBER 4th**__ SWBAT: add, subtract, and multiply complex numbers CLASSWORK: //Precalculus w/ Trigonometry// textbook page 563-4 Define //** imaginary number **// and **// complex number //** and understand the difference

Complex Numbers Online Resources: Math is Fun: Imaginary Numbers Totally dedicated to imaginary numbers (w/ animations) Visualizing imaginary numbers (complex plane) Understanding why complex multiplication "works" Imaginary numbers use in electricity Determine number of real/imaginary roots using discriminant (b^2 - 4ac) Proper use of the unit imaginary number ||
 * > **//IMAGINARY NUMBER RESOURCES://** ||
 * > Khan Academy Challenge:

What are complex numbers used for and how do they relate to the real world?

Lots of electronic and magnetic applications...

"It's like trying to understand a shadow. The shadow lives in a two-dimensional world, so only two-dimensional concepts are directly applicable to it. However, thinking of the three-dimensional object casting the shadow can aid in understanding it, even though three-dimensional concepts don't have any direct application to the two-dimensional world of the shadow. Likewise, **complex**
 * numbers** may not be directly applicable to a **real world** measurement ... but
 * they can ... help us understand it**." -UofT: Mathematics Network



__**MONDAY, SEPTEMBER 3rd**__ HOLIDAY!!

__**FRIDAY, AUGUST 31st**__ //(This is for practice - to brush up on various techniques of solving// //quadratics ... such as: Algebra Tiles, Diamond Organization, and Complete the Square)//

+ Microsoft Mathematics Learn more here!! + Standards for Precalculus + Standards for Complex Numbers Click here