Curated OER
Complex Analysis: Polar & Exponential Forms
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.
Curated OER
Complex Analysis: Graphical Representations
In this graphical representation instructional activity, students draw an Argand diagram depicting complex numbers. They draw in vectors that represent complex numbers. This three-page instructional activity contains approximately ten...
Curated OER
Complex Analysis: Polar Form
In this polar form worksheet, students write complex numbers in polar form. They draw an Argand diagram containing vectors and draw sketches representing in a coordinate plane. This two-page worksheet contains thirteen multi-step...
Curated OER
Graphing and Absolute Value of Complex Numbers
In this graphing and absolute value worksheet, students graph complex numbers and find the absolute value of complex numbers. Students complete 12 problems total.
Shodor Education Foundation
Two Variable Function Pump
Use a function to operate on two variables. Pupils look at operating with complex numbers as a function of two variables. The interactive squares the input and adds a constant to it. Learners visualize the resulting output and its...
Curated OER
Shapes in Our World
Help your students explore shapes. They classify shapes and identify them in their everyday world. Plane shapes are explored, and they classify and identify the plane shapes.
CK-12 Foundation
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...
Curated OER
Complex Analysis: The Complex Derivative
In this complex derivative worksheet, students determine the circle of a radius under the mapping principle. They identify analytic functions, and explore the relationship between real and imaginary parts of complex functions. This...
Curated OER
Complex Analysis: Complex Functions
In this complex function worksheet, students examine the properties of integrals of complex functions of a real variable, smooth arcs, and the Jordan Curve Theorem. This two-page worksheet contains approximately seven equations.
Curated OER
Complex Analysis: Limits of Complex Functions
In this complex function worksheet, students identify the limits of complex functions. This two-page worksheet contains examples and explanations, followed by two problems.
Schoolcraft College
Trigonometry
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...
Curated OER
Complex Analysis: Functions of Complex Variables
In this complex variable worksheet, students explore the functions of a complex variable. They map complex variables and solve complex inequalities. This three-page worksheet contains fourteen problems.
Curated OER
Complex Analysis: Functions of Complex Variables
In this function worksheet, students map equations and identify three dominant characteristics. They evaluate functions of complex variables. This three-page worksheet contains approximately ten problems.
Curated OER
Area of Complex Figures
Fifth graders use formulas for calculating areas of squares and rectangles to find area of complex figure, compare their own ideas with their classmates' ideas, and recognize that there are multiple methods for finding area of complex...
Curated OER
Complex Analysis: Complex Exponents
For this complex exponents worksheet, students determine the domain of analyticity of a function. This six-page worksheet contains ten problems.
Curated OER
Coordinate Plotting: Shapes
In this math activity, students graph ordered pairs on a coordinate grid. They connect the points to create a geometric shape. This activity generator allows teachers to select the size of the grid, the complexity of the shapes, and if...
Curated OER
Connect the Mathematical Dots
Teachers can choose visual activities that demonstrate the elegance associated with the coordinate plane.
Agriculture in the Classroom
Six Kinds Do It All
Teach young engineers that all machines, no matter how complicated or complex, are made up of just six simple devices with this hands-on physical science lesson. Using the included templates, students first create paper models of...
Curated OER
Complex Analysis: Complex Exponential
In this complex exponential worksheet, students answer questions about the characteristics of a function. They sketch the image in a coordinate plane. This two-page worksheet contains six problems.
Curated OER
Math 312 Spring 2004: Complex Integration
In this complex integration worksheet, students use contour integration to find the area of odd shapes in a plane. This two-page worksheet contains four multi-step problems.
Curated OER
Simple and Complex Machines Used In Agriculture
Pupils explore agriculture and the current technologies and research that continue to make Earth a viable planet. This four lessons unit introduce students to simple machines and the concepts of force and friction through a variety of...
Purdue University
Simple Machines
What's the best way to use a simple machine to solve a real-world problem? Scholars construct their own simple and complex machines to explore the concepts of work and force. They discuss examples of simple machines they have found in...
EngageNY
Matrix Multiplication Is Not Commutative
Should matrices be allowed to commute when they are being multiplied? Learners analyze this question to determine if the commutative property applies to matrices. They connect their exploration to transformations, vectors, and complex...
CK-12 Foundation
Angles of Elevation and Depression: Fly-By Calibration
Determine the distance between two trees from afar. Pupils use an interactive resource to create two right triangles using trees and a plane. They determine the horizontal legs of each triangle to find the distance between the two trees.