Curated OER
Introduction to Polar coordinates
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...
Curated OER
Polar and Cartesian Coordinates
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...
Curated OER
Space Shuttle's Heat Shield Problem
Learners participate in a role-play activity to determine how to replace heat shields on the space shuttle using polar coordinates.
Curated OER
Ellipses and Kepler's First Law
The class examines graphs in the form r = F(¿¿) in polar coordinates (r, ¿¿), in particular with the circle, ellipse and other conic sections. They determine the nature of an ellipse by studying the role of the semimajor axis and...
Curated OER
Math 312 Spring 2004: Complex Logarithm
In this complex logarithm worksheet, students complete complex logarithm problems. They identify image and pre-image sets, indicate the location of the solution in a complex plane and give examples of integers with given parameters. ...
Curated OER
Complex Analysis: Function
In this function worksheet, students evaluate problems involving functions, identify the domain and range of functions, and complete inversion mapping. This two-page worksheet contains approximately twelve problems.
Curated OER
Complex Analysis: Point Sets in the Complex Plane
In this complex plane worksheet, students describe definitions words relating to a complex plane and point sets. They give examples for each definition. This two page worksheet contains thirteen problems.
Curated OER
Complex Analysis: Point Sets in the Complex Plane
In this point set worksheet, students explore definitions describing planar point sets. They use the definitions to describe examples of point sets. This two-page worksheet contains four problems and 15 definitions.
Math Medics
S.o.s. Math: Algebra
This lesson provides basic instruction on the major concepts in algebra. Content includes a focus on fractions, units of conversion, complex numbers, quadratic equations, factorization and roots of polynomials, solving equations, systems...
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Polar Coordinates
Hotmath provides 20 practice problems relating to polar coordinates and complex numbers. Each of the practice problems include a step-by-step guide for solving.
Wolfram Research
Wolfram Math World: Complex Plane
This math site gives a visual representation of a complex plane with several values plotted, the site explains that any complex number can be plotted on such a plane. The site contains links to related words and topics.
Northern Illinois University
Northern Illinois University: Roots Unique Factorization
This site from the Northern Illinois University contains relevant information about complex nth roots of unity. Includes important formulas.
Stanford University
Stanford Exploration Project: Complex Roots
A description and examples of complex roots.
Math Medics
S.o.s. Math: The Complex Plane
Contains a lesson and practice exercises about complex numbers in a complex plane.
McGraw Hill
Glencoe Mathematics: Quiz on the Complex Plane and Polar Form of Complex Numbers
The online assessment demonstrates knowledge of Trigonometry. The questions test students on the complex plane and polar form of complex numbers.
Stanford University
The Complex Plane (Standford University)
Contains both general and detailed information about the complex plane.
Stanford University
Standford University: The Complex Plane
This resource contains both general and detailed information about the complex plane.
Clark University
Clark University: Complex Numbers: The Complex Plane
A number of different ways to approach complex numbers and operations with them.
Illustrative Mathematics
Illustrative Mathematics: N Cn Complex Distance
In this problem, you will compute some values related to the complex numbers 2 + i and 5 - 3i. Aligns with N-CN.B.6.
CK-12 Foundation
Ck 12: Quadratic Formula and Complex Sums
[Free Registration/Login may be required to access all resource tools.] Represent complex numbers on the complex plane in rectangular and polar form (including real and imaginary numbers), and explain why the rectangular and polar forms...
CK-12 Foundation
Ck 12: Polar Form of Complex Numbers
[Free Registration/Login may be required to access all resource tools.] Represent addition, subtraction, multiplication, and conjugation of complex numbers geometrically on the complex plane; use properties of this representation for...
CK-12 Foundation
Ck 12: Polar Form of Complex Numbers
[Free Registration/Login may be required to access all resource tools.] Calculate the distance between numbers in the complex plane as the modulus of the difference, and the midpoint of a segment as the average of the numbers at its...
Larson Texts
Larson Precalculus: Operations of Complex Numbers in the Complex Plane [Pdf]
A 3-page handout with examples and exercises in adding, subtracting, and multiplying complex numbers in the complex plane, as well as finding complex conjugates.