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### We found 38 resources with the concept polar form

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Other Resource Types
(38)

EngageNY

#### EngageNY Precalculus and Advanced Topics Curriculum

A 5-module complete precalculus course begins with young mathematicians exploring linearity, complex number operations as transformation, and the power of the right notation. Module 2 has pupils examining incidence relationships in...

Lesson Planet

#### EngageNY Precalculus and Advanced Topics Module 3: Rational and Exponential Functions

In Module 3, precalculus students review the fundamental theorem of algebra, and then find roots of polynomials and roots of unity using polynomial identities, the binomial theorem, and Pascal’s Triangle. As part of their study of...

EngageNY

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

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

#### 2013 AP® Calculus BC Free-Response Questions

Apply the skills to problems to ace the AP test. Free-response questions require scholars to take calculus skills and apply them to situations. Pupils use the questions to see how those situations appear on an upcoming exam. Teacher use...

Lesson Planet

#### 2014 AP® Calculus BC Free-Response Questions

How much of the material is really important? Pupils use the free-response questions from the 2014 AP Calculus BC exam to see how the questions appear. With the supporting material, teachers understand the topics that appear on the test...

Lesson Planet

#### 2017 AP® Calculus BC Free-Response Questions

Pupils use the six released free-response questions from an AP Calculus BC exam to prepare for their own exam. The questions cover a range of topics from the BC curriculum, with half of the items coming strictly from AB material and the...

Lesson Planet

#### Vectors

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

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

#### Roots of Unity

Visualize the nth roots of unity. Pupils calculate the nth roots of unity and find all n roots. Learners plot the solutions in the complex plane and observe that they are the vertices of a regular n-gon inscribed in the unit circle....

Lesson Planet

#### Curves in the Complex Plane

Go around and around on the complex plane. The sixth lesson in a 23-part unit reviews representing numbers in the complex plane. Pupils graph numbers with equal moduli and notice they represent a circle. They continue to explore complex...

Lesson Planet

#### Does Every Complex Number Have a Square Root?

Help the class find a better way. Pupils recall finding nth roots or a complex number in polar form from a previous module to find the square root of a complex number. Using the second installment in a series of 23, scholars discover it...

Lesson Planet

#### Precalculus

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

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

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

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

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...

EngageNY

#### Mid-Module Assessment Task - Precalculus (module 1)

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...

EngageNY

#### Exploiting the Connection to Trigonometry 1

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...

EngageNY

#### Discovering the Geometric Effect of Complex Multiplication

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...

EngageNY

#### Trigonometry and Complex Numbers

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...

EngageNY

#### Exploiting the Connection to Trigonometry 2

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

#### Intersections of Polar Curves

Expand on your pupils' knowledge of polar graphs, systems, and trigonometry. An informative math lesson prompts learners to solve systems of polar equations. The polar coordinate solutions are referenced both algebraically and graphically.

Lesson Planet

#### Complex Numbers

A straightforward approach to teaching complex numbers, this lesson addresses the concepts of complex numbers, polar coordinates, Euler's formula, De moivres Theorem, and more. It includes a practice problems set with odd answers and a...

Lesson Planet

#### The AP Calculus Problem Book

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.