Lesson Plan
Curated OER

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 Plan
Curated OER

Ellipses and Kepler's First Law

For Teachers 11th - 12th
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...
Lesson Plan
Curated OER

Worksheet 36-Spring 1996

For Teachers Higher Ed
In this math worksheet, students sketch the regions that give rise to three integrals. They find the volume of a solid in the first octant bounded by a defined cylinder and a parabaloid. Students change a function to polar coordinates....
Lesson Plan
Curated OER

Worksheet 25

For Teachers Higher Ed
In this math worksheet, students draw a graph of functions on a polar graphing system. They graph two functions by first plotting them on the vertical axis as a function of a given angle, then by plotting them at a radial distance from...
Worksheet
Curated OER

Worksheet 38

For Students 11th - Higher Ed
In this math worksheet, students investigate different types of functions and coordinate systems. They review that when integrating a function over a region in the plane using polar coordinates, a “magical” factor of r appears in the...
Worksheet
Curated OER

Worksheet 28 - Spring 1996

For Students 11th - Higher Ed
For this math worksheet, students examine the graph in polar coordinates of r = f(θ). Then they sketch a graph of the modified functions indicated.
Lesson Plan
Curated OER

The Solar System

For Teachers 9th - 12th
High schoolers construct a sketch of the planets in our solar system using concentric circles and angles. For this solar system lesson plan, students plot the position of each planet on concentric circles using graph paper. The sun is...
Worksheet
Curated OER

Graphing Polar Equations

For Students 11th - Higher Ed
In this graphing polar equations activity, students solve and complete 10 various types of problems. First, they construct a table of values using the special angles and their multiples. Then, students plot the points in the table on a...
eBook
Rice University

College Algebra

For Students 9th - Higher Ed Standards
Is there more to college algebra than this? Even though the eBook is designed for a college algebra course, there are several topics that align to Algebra II or Pre-calculus courses. Topics begin with linear equation and inequalities,...
eBook
Schoolcraft College

Trigonometry

For Teachers 9th - 12th Standards
This trigonometry textbook takes the learner from a basic understanding of angles and triangles through the use of polar coordinates on the complex plane. Written by a mathematician-engineer, examples and problems here are used to...
Worksheet
Curated OER

Complex Analysis: Polar & Exponential Forms

For Students Higher Ed
In this polar and exponential form worksheet, students use Euler's Formula to write complex numbers in exponential form. They write numbers in rectangular form. This two-page worksheet contains seven multi-step problems.
Lesson Plan
Curated OER

Matrix Madness!!

For Teachers 9th - 11th
Perform operations to add, subtract, multiply and divide matrices. Then solve problems with vectors using matrices. A three day instructional activity: Matrix Madness, Mystical Matrices, and Decode the Encode. The last instructional...
Lesson Plan
Curated OER

Navigation, Working With Coordinates

For Teachers 6th - 8th
Students view a polar view map and discuss ways of telling locations on the map. They view a copy of the map superimposed on a coordinate grid, then discuss ways of telling the locations. Students practice as a class and then...
Unit Plan
EngageNY

Complex Numbers and Transformations

For Teachers 11th - 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 Plan
Curated OER

Geometry: Practical Applications of the Distance Formula

For Teachers 9th - 10th
Students, working independently and in groups, apply the distance formula to practical situations. After solving various problems, students in pairs design coordinate planes from the school blue print to measure the distance from the...
eBook
Rice University

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 Plan
Curated OER

Highway Design for the Future

For Teachers 8th
Eighth graders research highway designs and create a marble maze to illustrate a highway system. They test their designs and write reports defining the project and analyzing the results.
Lesson Plan
Curated OER

Farm Tech Trek

For Teachers 6th - 8th
Students explore Global Positioning Systems.
Lesson Plan
Curated OER

Ellipses And Kepler's First Law

For Teachers 9th - 12th
Students explain that planets actually orbit the center of gravity of the solar system, and that distant planets may be detected by motions of their central star around the centers of gravity of their planetary systems.
Lesson Plan
Curated OER

Virus and Bacteriophage

For Teachers 5th - 6th
Students examine the differences between a virus and a bacteriophage. They explore various websites, identify the parts of a virus and a bacteriophage, and construct a model of a virus or bacteriophage.
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Polar Coordinates

For Students 9th - 10th Standards
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.
Unit Plan
CK-12 Foundation

Ck 12: Analysis: Systems of Polar Equations

For Students 11th - 12th
[Free Registration/Login may be required to access all resource tools.] Graphing equations on polar graphs and finding points of intersection.
Activity
University of Saskatchewan (Canada)

University of Saskatchewan: Complex Numbers

For Students 9th - 10th Standards
The University of Saskatchewan's Department of Mathematics and Statistics provides high school students with an online tutorial on complex numbers. Students can access accompanying examples within the tutorial. After you can also test...
Handout
Other

Stat Soft: Statistics Glossary

For Students 9th - 10th
Dozens of statistical terms are defined and illustrated in this glossary.