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33 resources with the concept polar form

EngageNY

EngageNY Precalculus and Advanced Topics Module 1: Complex Numbers and Transformations

For Teachers 11th - 12th Standards
Prepare your mathematicians for calculus with a collection of 32 lessons that focus on three topics: linearity, complex number operations as transformations, and the power of right notation. Each lesson includes teacher materials...
Lesson Planet

Vectors

For Teachers 10th - 12th Standards
Complex numbers bridge so many concepts as learners edge into higher-level math. Here, their polar and rectangular forms link through vector notation, and the arithmetic of vectors is born. These basic math skills translate into a...
Lesson Planet

Polar Graphs

For Teachers 10th - 12th Standards
The world of graphing polar graphs is filled with beautiful curves and patterns once a young mathematician masters a few basic techniques. This comprehensive resource covers many of these techniques and resulting shapes, from the basic...
Lesson Planet

Precalculus

For Students 11th - Higher Ed Standards
Take a step beyond Algebra 2. Learners use the eBook to learn concepts from the typical Precalculus course. Content starts off with a short review of functions in general and moves on to the basic functions, finishing up with more...
Lesson Planet

Distance Between Two Polar Coordinates: Exploring Changes in Angle and Radius

For Students 10th - 12th Standards
Get straight answers on a curved grid. An interactive has learners apply the Law of Cosines to find the distance between two points on the polar coordinate plane. The pupils use the radii lengths and the angle between the two radii to...
Lesson Planet

Plots of Polar Coordinates: Submarine Sonar

For Students 11th - Higher Ed Standards
Find the location of enemy submarines with a sonar display that doubles as a polar coordinate system. Pupils find polar coordinates that would be the same location of plotted submarines. They then determine multiple polar coordinates...
Lesson Planet

Trigonometric Form of Complex Numbers

For Students 11th - Higher Ed Standards
Represent complex numbers in two ways. Pupils use the interactive to convert polar and rectangular representations of complex numbers. The learners drag an overlay back and forth over the coordinate plane to reveal the polar coordinates...
Lesson Planet

Rectangular to Polar Form for Equations: Polar Coordinates

For Students 10th - 12th Standards
Plot points around a wheel. Pupils use an interactive tool to plot a point using polar coordinates with the aid of a wheel. Scholars use the interactive to answer five questions to finish the lesson. The resource provides background...
1 In 1 Collection
EngageNY

Mid-Module Assessment Task - Precalculus (module 1)

For Teachers 11th - 12th Standards
Individuals show what they know about the geometric representations of complex numbers and linearity. Seventeen questions challenge them to demonstrate their knowledge of moduli and operations with complex numbers. The assessment is the...
1 In 1 Collection
EngageNY

Exploiting the Connection to Trigonometry 1

For Teachers 11th - 12th Standards
Class members use the powers of multiplication in the 19th installment of the 32-part unit has individuals to utilize what they know about the multiplication of complex numbers to calculate the integral powers of a complex number. Groups...
1 In 1 Collection
EngageNY

Discovering the Geometric Effect of Complex Multiplication

For Teachers 11th - 12th Standards
Does complex number multiplication have the class spinning? Here's a resource that helps pupils explore and discover the geometric effect of multiplying complex numbers. In the 14th installment in the 32-part unit groups look at the unit...
1 In 1 Collection
EngageNY

Trigonometry and Complex Numbers

For Teachers 11th - 12th Standards
Complex numbers were first represented on the complex plane, now they are being represented using sine and cosine. Introduce the class to the polar form of a complex number with the 13th part of a 32-part series that defines the argument...
1 In 1 Collection
EngageNY

Exploiting the Connection to Trigonometry 2

For Teachers 11th - 12th Standards
The class checks to see if the formula for finding powers of a complex number works to find the roots too.  Pupils review the previous day's work and graph on the polar grid. The discussion leads the class to think about how to reverse...
Lesson Planet

The AP Calculus Problem Book

For Students 11th - Higher Ed Standards
Are you always looking for extra problem resources to incorporate in your classes?  A set of problems for a full AP Calculus course may be all you need! Each unit has a full set of questions and a sample test.
1 In 1 Collection
Lesson Planet

Unit 8 Review Packet: Polar Coordinates, Polar Graphs, and Vectors

For Teachers 10th - 12th Standards
Tying together an introductory unit on polar coordinates, graphs, and vectors is often a daunting task. So many nuanced math skills develop through these lessons that making sure an assessment hits them is difficult, to say the least....
Lesson Planet

Polar Coordinates

For Teachers 10th - 12th Standards
Graphing outside of the Cartesian plane is a unique challenge for many students, particularly the part where they need to convert (x, y) coordinates into polar form. Enter this lesson and corresponding worksheet covering the basics of...
1 In 1 Collection
EngageNY

Complex Numbers and Transformations

For Teachers 9th - 12th Standards
Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...
Lesson Planet

Introduction to Polar coordinates

For Teachers 11th - 12th Standards
The class practices plotting points in a Cartesian coordinate system and a Polar coordinate system. They convert from one system to the other to get coordinates to plot. Then they play a Tic-Tac-Toe or Connect Four game to have a...
Lesson Planet

Introduction to Polar Coordinates

For Teachers 10th - 12th
High schoolers compare polar coordinates to that of rectangular coordinates. They locate points in a polar coordinate plane and convert that point to one on a rectangular coordinate plane, and vice versa.
Lesson Planet

Complex Numbers: Plotting and Polar Form

For Teachers 9th - 12th Standards
Explore the concept of, and use the Ti-Nspire to, convert complex numbers into polar form. Then practice graphing complex numbers in the polar coordinate plane.
Lesson Planet

Polar and Cartesian Coordinates

For Teachers 11th - 12th
The class has a brief review of polar and Cartesian coordinates. Then they get to play battleship and discover polar coordinates in more depth. They get a lot of practice converting from polar to Cartesian coordinate points and vice...
Lesson Planet

Polar Functions

For Teachers 9th - 12th
Explore the concept of polar functions and learn how to determine the length around a function using polar coordinates. High schoolers use their Ti-calculators to determine the length of a function that looks like a five-leaved rose....
Lesson Planet

Space Shuttle's Heat Shield Problem

For Teachers 9th - 12th
Students participate in a role-play activity to determine how to replace heat shields on the space shuttle using polar coordinates.
Lesson Planet

Complex Numbers in Polar Form; DeMoivre’s Theorem

For Teachers 10th - 12th Standards
The iconic links between trig functions and complex numbers are introduced in a lesson on the basic properties of complex numbers in polar form. Quickly progressing through the polarization of complex coordinates, a bulk of the worksheet...