Good Morning, Precalculus! To prepare for class: 1. Take out your DO NOW sheet and start today's DO NOW! Do Now: Convert the points below to rectangular.

Slides:



Advertisements
Similar presentations
GEOMETRIC REPRESENTATION OF COMPLEX NUMBERS A Complex Number is in the form: z = a+bi We can graph complex numbers on the axis shown below: Real axis.
Advertisements

Advanced Precalculus Notes 8.3 The Complex Plane: De Moivre’s Theorem
8.3 THE COMPLEX PLANE & DEMOIVRE’S THEOREM Precalculus.
Polar Coordinates (MAT 170) Sections 6.3
6.5 Complex Numbers in Polar Form. Copyright © 2014, 2010, 2007 Pearson Education, Inc. 2 Objectives: Plot complex number in the complex plane. Find the.
Cylindrical Coordinate Coordinate Systems. Representing 3D points in Cylindrical Coordinates.  r Start from polar representations in the plane.
Today – Friday, February 1, 2013  Collect Simplified Radical Form WS#3  Review: 6.2 Using properties of proportions to solve proportion problems  Practice:
TODAY IN ALGEBRA…  WARM UP: Determining whether an ordered pair is a solution and graphing linear equations  Learning Goal: 6.7 You will graph linear.
TODAY IN GEOMETRY…  Additional “yellow notes” – half sheet  Learning Target : 10.7 You will write equations of circles in the coordinate plane.  Independent.
Precalculus Mr. Ueland 2 nd Period Rm 156. Today in PreCalculus Announcements/Prayer New material: Sec 2.5b, “Complex Numbers” Continue working on Assignment.
Today in Precalculus Notes: Polar Coordinates Homework Go over quiz.
Section 6.4a: Our standard (x, y) system is called the _____________ coordinate system rectangular Today, we start learning about the P PP POLAR coordinate.
10.4A Polar Equations Rectangular: P (x, y) Polar: P (r,  )  r = radius (distance from origin)   = angle (radians)
Warm-Up 12/05 165° + 360k° 525°; – 195°. Rigor: You will learn how graph points and simple graphs with polar coordinates. Relevance: You will be able.
8.2.2 – Graphing Polar Points, Converting Equations.
Pre-Algebra: Chapter 2 LEARNING GOAL
Pre Calculus Important Dates October 5 Term I Ends Midterm Exam 12/17-12/18 December 19 Term II Ends March 8 Term III Ends April Terra Nova Testing.
Good Morning, Precalculus! When you come in, please Grab your DO NOW sheet at the front of the room. 2. Take out your homework from last night:
Friday, April 29 Practice 8-7 is due today (Please make sure your name is on it) Today’s Agenda  Chapter 8 Test will be Thursday, May 5  Checkpoint Quiz.
DeMoivre’s Theorem The Complex Plane. Complex Number A complex number z = x + yi can be interpreted geometrically as the point (x, y) in the complex plane.
Slide Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley.
September 15, 2014 What are we doing today? Correct Pg. 26 #2 – 42 evens 1.6 – Combining Like Terms -Lecture and Vocabulary HW – 1.6 – Pg. 30 #3-45.
Section 6.5 Complex Numbers in Polar Form. Overview Recall that a complex number is written in the form a + bi, where a and b are real numbers and While.
Good Morning, Precalculus! To prepare for class: Begin the "Do Now" on your "Do Now Sheet." Do Now: Set your calculator in degrees mode and record the.
: Do at least 2 inverse operations to change the way the equation looks ANSWER.
Good Morning, Precalculus! To prepare for class: 1. Take out your DO NOW sheet and start today's DO NOW! Do Now: Solve for principal values of x. Express.
8.4 – Trigonometric Form of Complex Numbers. From a while back, we defined a complex number as a number that may be written as… – z = a + bi – a is the.
10.3 Polar Form of Complex Numbers. We have explored complex numbers as solutions. Now we connect to both the rectangular and polar planes. Every complex.
Applications of Trigonometric Functions
Copyright © 2011 Pearson Education, Inc. Trigonometric Form of Complex Numbers Section 6.2 Complex Numbers, Polar Coordinates, and Parametric Equations.
9.7 PRODUCTS AND QUOTIENTS OF COMPLEX NUMBERS IN POLAR FORM By the end of this section students will be able to multiply and divide complex numbers in.
Good Morning, Precalculus! When you come in, please Grab your DO NOW sheet 2. Take out something to write with, and a notebook. 3. Begin your DO.
Good Morning, Precalculus! To prepare for class: 1. Please find your DO NOW sheet and start today's DO NOW! 2. Take out your homework: worksheet 5-6 Do.
Good Morning, Precalculus! To prepare for class: 1. Take out your DO NOW sheet and start today's DO NOW! 2. Grab today's new notesheet Do Now: Today's.
Precalculus Section 1.5 Perform basic operations with complex numbers The basic imaginary unit is i. i = i 2 = -1 A complex number is any number that can.
Trig form of Complex Numbers Objective: Be able to operate with complex numbers, and be able to convert complex numbers into Trig Form and vise versa.
Good Morning, Precalculus! To prepare for class: 1. Please find your DO NOW sheet and start today's DO NOW! Do Now: 1) Check to make sure your calculator.
Holt Geometry 11-Ext Polar Coordinates 11-Ext Polar Coordinates Holt Geometry Lesson Presentation Lesson Presentation.
Warm UP.  What are projection vectors?  MM4A10. Students will understand and use vectors. a. Represent vectors algebraically and geometrically. b.
1.1 Real Numbers and the Coordinate Plane HW: Pg. 11# 1 – 14 (for 5 – 10 write them in interval notation as well) Pg. 21 # 7 – 10 Finish Sets of Numbers.
Good Morning, Precalculus! To prepare for class: 1. Please find your DO NOW sheet and start today's DO NOW! Do Now: Find the semiperimeter of the triangle.
Today, we start learning about the POLAR coordinate system…
Warm-up 7-8.
6.4 - Polar Coordinates HW: Pg. 539 #16-26.
Objective: Polar coordinate system. Coordinate conversion.
HW # , ,64 , ,38 , Row 3 Do Now Find a set of parametric equations to represent the graph of y = -2x + 1 using the.
PRECALCULUS.
Happy Last Day of January!
Parametric Equations and Polar Coordinates
8.3 Polar Form of Complex Numbers
11.2 – Geometric Representation of Complex Numbers
Honors Precalc: Warm-Up
Trigonometry Section 11.2 Write and graph complex numbers in polar form. Multiply complex numbers. To represent the complex number a+ bi graphically,
Trig 2.3 Polar Coordinates
9-6: The Complex Plane and Polar Form of Complex Numbers
(4, 0) (0, 4) (2, 0) (-4, 0) (0, -4) (0, 2) None of these choices
Unit 8: Extended Trigonometry Lesson 4: Polar Coordinates (Part 1)
Unit 3: Graphing.
Section 9.3 The Complex Plane
Convert to rectangular:
Section 2.2: Solving Absolute Value Equations
Intro to Polar Section 10.7 Precalculus PreAP/Dual, Revised ©2017
Trigonometric Form Section 6.5 Precalculus PreAP/Dual, Revised ©2016
Finding the Distance Between Two Points
Convert the following to rectangular form:
Graphing Horizontal and
Chapter 9 Lesson 1 Graph a Line Using Intercepts pg. 677
Unit 3-Section 4 “Functions, Tables, Graphs”
6.4 Polar Coordinates.
Chapter 9 Lesson 1 Graph a Line Using Intercepts pg. 677
Presentation transcript:

Good Morning, Precalculus! To prepare for class: 1. Take out your DO NOW sheet and start today's DO NOW! Do Now: Convert the points below to rectangular coordinates. A B C

Do Now A(2, 105o) B(4, 300o) C(6, 180o)

Upcoming Assignments Du e Monday: Mixed Review Your Unit 12 TEST is scheduled for Friday, May 3!

Today's Agenda: 1. Do Now 2. Today's Objective 3. Objectives 3&4: Converting and Graphing Complex Numbers 4. Mixed Review

Today's Objective Unit 12, Objective 3: I will be able to write complex numbers in polar form and rectangular form. Unit 12, Objective 4: I will be able to graph complex numbers in the complex plane in rectangular and polar form. Section 9-6, pgs

Converting and Graphing Complex Coordinates

New Vocabulary Modulus: The absolute value of a complex number. Represented by r in polar coordinate form.

New Vocabulary Modulus: The absolute value of a complex number. Represented by r in polar coordinate form. Amplitude of a Complex Number: When a complex number is written in polar form, this is the angle θ (argument).

Mixed Review

Work to complete the mixed review. Pair up and work with a partner if you want. What you don't finish you must complete for HW.