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Curated OER
Number Theory: Modulus Math
Practice the techniques associated with number theory. This 5-page worksheet has many different types of problems for the students to solve and is a great component for any number theory unit8.
EngageNY
Complex Number Division 2
Individuals learn to divide and conquer complex numbers with a little help from moduli and conjugates. In the second lesson on complex number division, the class takes a closer look at the numerator and denominator of the multiplicative...
EngageNY
Justifying the Geometric Effect of Complex Multiplication
The 14th lesson in the unit has the class prove the nine general cases of the geometric representation of complex number multiplication. Class members determine the modulus of the product and hypothesize the relationship for the...
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...
Curated OER
Algebra Cheat Sheet
Full of info, this handout provides the rules, properties, and common mistakes found in an algebra course. This cheat sheet is a great resource for those hard-to-remember exponent rules and hyperbola equations, along with everything else...
Texas Instruments
Complex Numbers: Plotting and Polar Form
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.
EngageNY
Complex Numbers and Transformations
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...
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...
Curated OER
Complex Distance
Have learners graph complex numbers to gain a visual and mathematical understanding of the distance and the midpoint between two complex numbers. This lesson is short, but to the point, and addresses an important complex number...
EngageNY
Distance and Complex Numbers 1
To work through the complexity of coordinate geometry pupils make the connection between the coordinate plane and the complex plane as they plot complex numbers in the 11th part of a series of 32. Making the connection between the two...
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...
Curated OER
NUMB3RS Activity: Fresh Air and Parabolas
Explore parabolas and investigate linear and quadratic functions to solve problems symbolically and graphically. Also use parametric functions to display trajectories on a graphing calculator.
Curated OER
NUMB3RS Activity: Where’s the Source? Episode: “Undercurrents”
Several real-world problems are posed as a way to learn about vector fields in order to make some predictions after analyzing the data. The main problem comes from the tv show NUMB3RS and is based on solving a crime where a body has...
Curated OER
Engineering in a Calculus Classroom
Students solve several differential equations. In this calculus lesson, students test their modulus calculation by testing different weights or beam lengths. They share their findings in class.
Curated OER
Complex Analysis: Theorems Following Cauchy's Integral Formulas
For this integral formula, students explore how theorems are derived. They write proofs supporting Cauchy's Inequality, Liouville's Theorem, the Fundamental Theorem of Algebra, Gauss' Mean Value Theorem and Cauchy's Residue Theorem. ...
Math Medics
S.o.s. Math: The Complex Numbers
This lesson may be useful to both persons with prior knowledge of complex numbers and those without. The lesson begins with the definition of complex numbers and its notation, then gives the rules of arithmetic for them with exercises....
Math Medics
S.o.s. Math: The Polar Form of a Complex Number
This lesson from S.O.S. Math provides great information on the polar form of a complex numbers. It has many formulas and examples, and it also discusses the polar coordinates as well. Links are provided for additional subjects.
Wolfram Research
Wolfram Math World: Fermat's Theorem
This site summarizes Fermot's Theorem, there are links to related topics on the page, some prior understanding of modulus is suggested.
Paul Dawkins
Paul's Online Notes: Complex Numbers Primer
This tutorial reviews complex numbers, notation associated with complex numbers, and the basic operations involving complex numbers. Topics examined are conjugates and moduli, polar form, exponential form, arithmetic of complex numbers,...
University of Saskatchewan (Canada)
University of Saskatchewan: Complex Numbers
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...
Clark University
Clark University: Dave's Short Trig Course: Complex Numbers: Absolute Value
Contains detailed information on absolute values for complex numbers.
Illustrative Mathematics
Illustrative Mathematics: N Cn Complex Distance
For this problem, you will compute some values related to the complex numbers 2 + i and 5 - 3i. Aligns with N-CN.B.6.