Bellwork Convert to rectangular coordinates: Convert to polar coordinates:

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

Graph: x + y = 5 1. Solve for y. 2. Make an X|Y chart. 3. Graph.

8 Complex Numbers, Polar Equations, and Parametric Equations

Graphs of Polar Coordinates Sections 6.4. Objectives Use point plotting to graph polar equations. Use symmetry to graph polar equations.

Polar Coordinates (MAT 170) Sections 6.3

Cylindrical Coordinate Coordinate Systems. Representing 3D points in Cylindrical Coordinates.  r Start from polar representations in the plane.

10.1 Polar Coordinates. The Cartesian system of rectangular coordinates is not the only graphing system. This chapter explores the polar coordinate system.

Section 11.3 Polar Coordinates.

Polar Graphs and Calculus

9.2 Polar Equations and Graphs. Steps for Converting Equations from Rectangular to Polar form and vice versa Four critical equivalents to keep in mind.

Equations of Circles.

10.3 Polar Functions Quick Review 5.Find dy / dx. 6.Find the slope of the curve at t = 2. 7.Find the points on the curve where the slope is zero. 8.Find.

Section 12.6 – Area and Arclength in Polar Coordinates

Section 8.3 Area and Arc Length in Polar Coordinates.

10.3 Polar Coordinates. Converting Polar to Rectangular Use the polar-rectangular conversion formulas to show that the polar graph of r = 4 sin.

Intro to Polar Coordinates Objectives: Be able to graph and convert between rectangular and polar coordinates. Be able to convert between rectangular and.

10.4A Polar Equations Rectangular: P (x, y) Polar: P (r,  )  r = radius (distance from origin)   = angle (radians)

Warm UpMay 15 th Please pick up the sheet on the cart and practice plotting those points. A: (4, 150°) B: (-5, 195°) C: (0, 105°) D: (6, -30°) E: (-7,

Warm Up Calculator Active The curve given can be described by the equation r = θ + sin(2θ) for 0 < θ < π, where r is measured in meters and θ is measured.

11.7 Cylindrical and Spherical Coordinates. The Cylindrical Coordinate System In a cylindrical coordinate system, a point P in space is represented by.

Warm Up. Algebra 3 Chapter 7: Powers, Roots, and Radicals Lesson 5: Graphing Square Roots and Cubed Roots.

Warm Up Rewrite each equation in information form. Then, graph and find the coordinates of all focal points. 1) 9x 2 + 4y x - 8y + 4 = 0 2) y 2 -

Today in Precalculus Go over homework Notes: Graphs of Polar Equations Homework.

Copyright © 2013, 2009, 2005 Pearson Education, Inc Complex Numbers, Polar Equations, and Parametric Equations Copyright © 2013, 2009, 2005 Pearson.

Section The Polar Coordinate System The keys……

Polar Coordinates Lesson Points on a Plane Rectangular coordinate system  Represent a point by two distances from the origin  Horizontal dist,

Exponential and Logarithmic Functions.

Unit 1 – Degrees Decimals and Degrees, Minutes, Seconds (DMS) Conversions, and Unit Conversions -You will be able to convert from degrees decimals to degrees,

WARM-UP: USE YOUR GRAPHING CALCULATOR TO GRAPH THE FOLLOWING FUNCTIONS Look for endpoints for the graph Describe the direction What is the shape of the.

11.2a Geometric Representation of a Complex Number Write complex numbers in polar form.

Chapter 17 Section 17.4 The Double Integral as the Limit of a Riemann Sum; Polar Coordinates.

Ch 9 Polar Coordinates and Complex numbers L9.2 Graphs of Polar 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.

10.8 Graphs of Polar Equations

S p. 702: 1-19 odd, odd, odd. Rectangular (Cartesian) coordinates plot a point by moving left/right and up/down (making a rectangle)  Polar.

Plot These Points and then name each point with a positive radius.

Warm UP.  What are projection vectors?  MM4A10. Students will understand and use vectors. a. Represent vectors algebraically and geometrically. b.

8. Polar Coordinates I am the polar curve r = sin(2^t)-1.7.

Unit 3: Coordinate Geometry

10.7 Polar Coordinates Polar Axis.

11.1 Polar Coordinates.

Sullivan Algebra and Trigonometry: Section 10.1

Graphing in Calculator

10.2 Graphing Polar Equations Day 2

Polar Coordinates r Pole Polar axis.

6.5 Graphs of Polar Equations

Parametric Equations and Polar Coordinates

Today in Precalculus Go over homework Need a calculator

Honors Precalc: Warm-Up

Intercepts, Symmetry, Even/Odd and intersections

Chapter 9 Review.

Other Types of Polar Graphs…

POLAR COORDINATES Point P is defined by : P .

(4, 0) (0, 4) (2, 0) (-4, 0) (0, -4) (0, 2) None of these choices

Learning Targets – Unit 10

Pre-Calculus Unit 8 Day 6.

10.7 Polar Coordinates.

Day 79 AGENDA: DG minutes.

Pre-Calculus Unit 8 Day 6.

A graphing calculator is required for some problems or parts of problems 2000.

Convert to rectangular:

5 minutes Warm-Up Solve. 1) 2) 3) 4).

Graph 3x + y = 6 by making a “T” Table and graphing the line.

Section 6.4 Graphs of Polar Equations

Convert the following to rectangular form:

13.3 Polar Coordinates Rita Korsunsky.

9.1 Polar Coordinates.

Objective: Test for symmetry in polar equations.

Presentation transcript:

Bellwork Convert to rectangular coordinates: Convert to polar coordinates:

11.1 POLAR COORDINATES GRAPHING - ROSES Graph Polar Functions (Rose)

Graphing Rose Calculator Activity In your groups complete the calculator activity. (20 minutes)

Rose Summary “a” is the length of the leaf If “b” is odd there are b leaves If “b” is even there are 2b leaves Leaves are evenly spaced Begin by finding the max of the function

r θ

Length of leaves_____________ # of leaves_____________ Spacing of leaves____________

Length of leaves_____________ # of leaves_____________ Spacing of leaves____________

Length of leaves_____________ # of leaves_____________ Spacing of leaves____________

Homework Graphing Roses Worksheet.