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Lesson Plan
Curated OER

Powers and Roots of Complex Numbers

For Teachers 9th - 12th Standards
Explore a few powers of complex numbers numerically and decide if there is a pattern and use parametric equations to represent a complex number graphically. Use De Moivre's theorem to represent the roots of the complex number...
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Lesson Plan
EngageNY

Complex Number Division 1

For Teachers 11th - 12th Standards
Conjugating in the math classroom — and we're not talking verbs! The seventh lesson in a series of 32 introduces the class to the building blocks of complex number division. During the instruction, the class learns to find the...
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Lesson Plan
EngageNY

The Geometric Effect of Some Complex Arithmetic 1

For Teachers 11th - 12th Standards
Translating complex numbers is as simple as adding 1, 2, 3. In the ninth lesson in a 32-part series, the class takes a deeper look at the geometric effect of adding and subtracting complex numbers. The resource leads pupils into what it...
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Lesson Plan
EngageNY

An Appearance of Complex Numbers 2

For Teachers 11th - 12th Standards
Help the class visualize operations with complex numbers with a lesson that formally introduces complex numbers and reviews the visualization of complex numbers on the complex plane. The fifth installment of a 32-part series reviews the...
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Handout
Thomson Brooks-Core

Complex Numbers

For Students 10th - 12th
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...
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Worksheet
Curated OER

Complex Numbers

For Students 10th - 12th
In this complex numbers worksheet, students write numbers in standard form.  They identify real, imaginary and complex numbers.  Students find the absolute value and conjugate of a number.  This two-page worksheet contains 45 problems.
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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...
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Lesson Plan
EngageNY

Complex Numbers as Solutions to Equations

For Students 10th - 12th Standards
Quadratic solutions come in all shapes and sizes, so help your classes find the right one! Learners use the quadratic formula to find solutions for quadratic equations. Solutions vary from one, two, and complex. 
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Lesson Plan
EngageNY

Complex Numbers as Vectors

For Teachers 11th - 12th Standards
Show your math class how to use vectors in adding complex numbers. Vectors represent complex numbers as opposed to points in the coordinate plane. The class uses the geometric representation to add and subtract complex numbers and...
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Worksheet
Curated OER

Complex Number

For Students 8th - 10th
In this algebra worksheet, students identify the vertex of a quadratic functions. They identify complex numbers. There are 6 questions.
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Lesson Plan
EngageNY

Exploiting the Connection to Trigonometry 1

For Teachers 11th - 12th Standards
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...
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Worksheet
Curated OER

Complex Numbers

For Students Higher Ed
In this complex numbers learning exercise, students simplify 9 problems involving the addition, subtraction, multiplication, and division of complex numbers.
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Worksheet
Curated OER

Complex Analysis: The Complex Derivative

For Students Higher Ed
For 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...
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Activity
It's About Time

Organizing a Store

For Teachers 7th - 12th Standards
When provided with multiple objects, how many ways can the class organize and display them based on predetermined factors? Assist class members with a handy activity—theoretically teaching them concepts to understand periodic table...
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Unit Plan
2
2
Mathematics Vision Project

Quadratic Equations

For Teachers 10th - 12th Standards
Through a variety of physical and theoretical situations, learners are led through the development of some of the deepest concepts in high school mathematics. Complex numbers, the fundamental theorem of algebra and rational exponents...
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Worksheet
Curated OER

Complex Analysis: Complex Function

For Students Higher Ed
In this complex function instructional activity students identify the derivative of given functions and explore the rules of differentiation. This two-page instructional activity contains explanations and examples, followed by ten...
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Assessment
EngageNY

Mid-Module Assessment Task - Precalculus (module 1)

For Teachers 11th - 12th Standards
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...
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Unit Plan
2
2
EngageNY

Polynomial, Rational, and Radical Relationships

For Teachers 9th - 12th Standards
This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another,...
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Lesson Plan
Curated OER

Cutting Corners - Parts 1 and 2

For Teachers 9th - 12th
Students use optimization concepts to design their own container. In this optimization lesson plan, students understand how the optimization concept is critical in calculus and why products are packaged the way they are.
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Worksheet
Curated OER

Mathematics B: High School Exam

For Students 11th - 12th
In this mathematics worksheet, students solve problems about numerous high school topics including trigonometry, algebra, and pre-calculus. This worksheet contains, but is not limited to, radicals, inverse functions, transformations, and...
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Lesson Plan
Curated OER

Arithmetic Complex Numbers

For Teachers 10th - 11th
Students convert quadratic functions from standard form to vertex form. In this algebra lesson, students solve polynomials using synthetic and long division. They derive and apply the remainder theorem and factor theorem.
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Worksheet
Curated OER

Math 312. Harmonic Functions

For Students Higher Ed
In this harmonic function worksheet, students use the Cauchy-Riemann equations to find the imaginary part of the function. They explore the harmonic conjugate and solve a 2-dimensional Laplace equation. This two-page worksheet contains...
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Worksheet
Curated OER

Roots of Polynomial Functions

For Students 10th - 12th
Here is a unit test on finding factors and zeros of higher-degree polynomials that could be used as a review or practice test. The Remainder Theorem, Rational Zero Theorem, and Factor Theorem are put into use. While this four-page...
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Lesson Plan
Curated OER

Golf - Lesson 1 - Intro, Full Swing, Stance, Posture

For Teachers 9th - 12th
This is the first lesson out of nine in this golf unit. So, let's start at the beginning. A little history, some rules, and an introduction to golf terms. Practice the full golf swing without a club in hand. Focus on stance and posture....