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...
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...
Unit Plan
CK-12 Foundation

Ck 12: Analysis: Imaginary Numbers

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] In this lesson students will identify imaginary and complex numbers, basic evaluation of imaginary numbers. Students examine guided notes, review guided practice,...
Unit Plan
CK-12 Foundation

Ck 12: Imaginary Numbers

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] Know there is a complex number i such that i squared = -1, and every complex number has the form a + bi with a and b real.
Unit Plan
Khan Academy

Khan Academy: Simplify Roots of Negative Numbers

For Students 9th - 10th Standards
Rewrite square roots of negative numbers as imaginary numbers. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Unit Plan
CK-12 Foundation

Ck 12: Complex Numbers

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] This lesson covers the powers of i, and adding and subtracting complex numbers, as well as how to plot them in the complex plane. Students examine guided notes,...
Unit Plan
Khan Academy

Khan Academy: Powers of the Imaginary Unit

For Students 9th - 10th Standards
Simplify expressions with base i (the imaginary unit) raised to a positive exponent. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Unit Plan
CK-12 Foundation

Ck 12: Quadratic Formula and Complex Sums

For Students 9th - 10th Standards
[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...
Unit Plan
TED Talks

Ted: Ted Ed: Math Jokes Explained

For Students 9th - 10th
It's not your typical knock-knock joke- these funny jests will tickle your imaginary numbers and teach you a thing or two about mathematics. [4:04]
Unit Plan
Cuemath

Cuemath: Complex Numbers

For Students 9th - 10th Standards
A comprehensive guide for learning all about complex numbers with definitions, operations on complex numbers, solved examples, and practice questions.
Unit Plan
Cut the Knot

Cut the Knot!: Napoleon's Theorem

For Students 9th - 10th
Site that describes in detail Napoleon's theorem. To understand this site be sure you understand what the centroid of an object is. The site describes polygons in terms of the roots of unity of a function. The page gives an interactive...
Unit Plan
Interactive Mathematics

Interactive Mathematics: Complex Numbers

For Students 9th - 10th Standards
The world of complex numbers is explored through mini lessons, interactive examples, applications and demonstrations. Topics covered include definitions, basic operations, graphing, different forms of complex numbers, products,...
Unit Plan
CK-12 Foundation

Ck 12: Find Imaginary Solutions: Fundamental Theorem of Algebra

For Students 11th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] Here you will learn about the Fundamental Theorem of Algebra, and how to apply it to various functions. You will also review using the quadratic equation to find...
Unit Plan
CK-12 Foundation

Ck 12: Find Imaginary Solutions

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] In this lesson, students are finding complex roots of polynomials and applications of the Fundamental Theorem of Algebra. Students examine guided notes, review...
Unit Plan
CK-12 Foundation

Ck 12: Analysis: Quadratic Formula and Complex Sums

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] This lesson covers solving quadratic equations when the answers are complex numbers. Students examine guided notes, review guided practice and attempt practice...
Unit Plan
CK-12 Foundation

Ck 12: Analysis: Products and Quotients of Complex Numbers

For Students 11th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] In this lesson, students calculate the products and quotients of complex numbers, identifying conjugates. Students examine guided notes, review guided practice,...
Unit Plan
CK-12 Foundation

Ck 12: Complex Numbers

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] A collection of resources that explain complex numbers and how to do arithmetic with them.
Unit Plan
CK-12 Foundation

Ck 12: Analysis: Products and Quotients of Complex Numbers

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] This lesson covers multiplying and dividing complex numbers. Students examine guided notes, review guided practice, watch instructional videos and attempt practice...
Unit Plan
CK-12 Foundation

Ck 12: Analysis: Increasing and Decreasing Functions

For Students 9th - 10th
[Free Registration/Login may be required to access all resource tools.] Identification of increasing and decreasing intervals of discrete and non-discrete functions. Students examine guided notes, review guided practice, watch...

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