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
Mathematics Vision Project

Module 3: Numbers and Operations

For Students 10th - 12th Standards
Bring some concrete reasoning to the skills of multiplying and combining terms. Using various strategies, the six activities in the module provide practice for the skills of adding, subtracting, multiplying, and diving polynomials. The...
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,...
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
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
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
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: 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: 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: 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
Texas A&M University

Wtamu Virtual Math Lab: College Algebra: Complex Numbers

For Students 9th - 10th Standards
Use this tutorial to learn what imaginary and complex numbers are, how to write them, and how to perform operations with them. Offers step-by-step examples, video explanations of the examples, and practice questions with answers.
Unit Plan
Oswego City School District

Regents Exam Prep Center: Complex Numbers

For Teachers 9th - 10th Standards
A wealth of material to help you plan classroom instruction on complex numbers: several lessons that cover the number i, square roots of negative numbers, and operations involving complex numbers; practice activities, some of which...
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
Khan Academy

Khan Academy: Multiply & Divide Complex Numbers in Polar Form

For Students 10th - 12th Standards
Given two complex numbers in polar form, find their product or quotient. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Unit Plan
Khan Academy

Khan Academy: Powers of Complex Numbers

For Students 9th - 10th Standards
Simplify a power of a complex number z^n, or solve an equation of the form z^n=k. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
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: Products and Quotients of Complex Numbers

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] A collection of resources for learning about and practicing how to multiply and divide complex numbers.

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