CK-12 Foundation
Ck 12: Quadratic Formula and Complex Sums
[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...
CK-12 Foundation
Ck 12: Graphing Calculator to Analyze Polynomial Functions
[Free Registration/Login may be required to access all resource tools.] Extend polynomial identities to the complex numbers.
Oswego City School District
Regents Exam Prep Center: Adding and Subtracting Complex Numbers
This site contains great information on adding and subtracting complex numbers. Several examples are given, along with a brief definition. Includes link to a graphing calculator tutorial.
Purple Math
Purplemath: Algebra Resources
Purplemath contains about 40 different lessons on various algebra topics. The lessons are divided into five different sections: preliminary topics, beginning algebra, intermediate algebra, advanced algebra, and word problems. The lessons...
Paul Dawkins
Paul's Online Notes: Complex Numbers: Practice Problems
Practice exercise reviews complex numbers including standard form, adding, subtracting, multiplying and dividing them.
Math Planet
Math Planet: Algebra 2: Complex Numbers
Provides an explanation, examples, and a video lesson all related to complex numbers.
Math Warehouse
Math Warehouse: Complex and Imaginary Numbers
Features numerous exercises relating to complex and imaginary numbers. Includes video tutorials, calculators, worksheets and more.
Cool Math
Coolmath: Complex Numbers Factoring the Sum of Two Squares
Use this algebra lesson to learn how to factor the sum of two squares.
Illustrative Mathematics
Illustrative Mathematics: A sse.a.2 & N cn.a: Computations With Complex Numbers
This task requires students to rewrite mathematical expressions involving complex numbers. Aligns with A-SSE.A.2 and N-CN.A.
Illustrative Mathematics
Illustrative Mathematics: N cn.a.2: Powers of a Complex Number
The goal of this task is to practice making calculations with complex numbers and to visualize what happens when two complex numbers are multiplied. Aligns with N-CN.A.2.
Illustrative Mathematics
Illustrative Mathematics: N Cn, a Rei Complex Square Roots
Working with complex numbers allows us to solve equations that cannot be solved with real numbers. Here we will investigate complex numbers which arise as square roots of certain complex numbers. Aligns with N-CN.A.2 and A-REI.A.1.
Illustrative Mathematics
Illustrative Mathematics: N cn.a and N cn.a.1: Complex Number Patterns
This task serves as a possible first student exploration after an initial introduction to the form and arithmetic of complex multiplication. Students need to understand that every complex number can be expressed in the form a+bi, and...
Illustrative Mathematics
Illustrative Mathematics: A sse.a.1.b and a sse.b.3 Increasing or Decreasing? 2
The purpose of this task is to help young scholars see manipulation of expressions as an activity undertaken for a purpose. Aligns with A-SSE.B.3.
Math Open Reference
Math Open Reference: Number
Resource defines numbers into two main categories, counting numbers and scalars. It also gives examples of number notation.
Khan Academy
Khan Academy: Parts of Complex Numbers
Determine the real and the imaginary parts of complex numbers. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Khan Academy
Khan Academy: Classify Complex Numbers
Classify numbers as real, pure imaginary, or complex. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Khan Academy
Khan Academy: Factor Polynomials: Complex Numbers
Identify correctly factored forms of given polynomials. Factorizations may use complex numbers. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Khan Academy
Khan Academy: Absolute Value of Complex Numbers
Given a complex number in the form a+bi, find its absolute value. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints. HSN.CN.B.4
Khan Academy
Khan Academy: Complex Numbers From Absolute Value & Angle
Given the absolute value and the angle of a complex number, express the number in the form a+bi. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Lawrence Hall of Science
The Math Page: Skill in Algebra: Skill in Algebra: Complex or Imaginary Numbers
Clearly and thoroughly explains complex numbers. Provides example problems and exercises for students, with solutions available.
CK-12 Foundation
Ck 12: Analysis: Products and Quotients of Complex Numbers
[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,...
CK-12 Foundation
Ck 12: Analysis: Quadratic Formula and Complex Sums
[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...
CK-12 Foundation
Ck 12: Find Imaginary Solutions: Fundamental Theorem of Algebra
[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...