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\nCommon Core Algebra 2, Unit 6: Complex Numbers\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nThree lessons and a review make up Unit 6: Complex Numbers in the Common Core Algebra II series. Designed for the flipped classroom, topics covered are Imaginary Numbers, Complex Numbers, and the Quadratic Formula. Videos explain to the...\n
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\n\n13\nItems in Course\n\n
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\n\"Flipped\n\n
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\nLesson Planet Curated\n
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\nFlipped Math: Common Core Algebra 2\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nAlgebra 2 pupils will flip over a 13-unit course that addresses Common Core standards designed for out-of-class learning. The first-semester unit covers polynomials, polynomial functions, radicals, transformations of functions, and...\n
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Instructional Video5:20
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\nKhan Academy\n
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\nIntroduction to I and Imaginary Numbers, Imaginary and Complex Numbers, Precalculus\n

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\n\nFor Students\n\n9th - 11th\n
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\nStudents are always fascinated by imaginary numbers. In this video, Sal defines the imaginary unit, i, and shows that it has a cyclic nature when raising i to an exponent.\n
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\n\nGet Free Access\n\nSee Review\n
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Instructional Video5:20
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\n\"Introduction\n\n
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\nKhan Academy\n
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\nIntroduction to i and Imaginary Numbers, Imaginary and Complex Numbers, Precalculus\n

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\n\nFor Students\n\n9th - 11th\n
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\nStudents are always fascinated by imaginary numbers. In this video, Sal defines the imaginary unit, i, and shows when raising i to an exponent, it has a cyclic nature.\n
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\n\nGet Free Access\n\nSee Review\n
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\n\"Imaginary\n\n
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\nAlabama Learning Exchange\n
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\nImaginary Numbers? What Do You Mean Imaginary?\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nDon't worry, this resource actually exists. Scholars learn about imaginary numbers and work on problems simplifying square roots of negative numbers. As an extension, they research the history of imaginary numbers.\n
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Instructional Video5:47
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\n\"Imaginary\n\n
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\nImaginary Numbers Are Real (Part 1: Introduction)\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nWhat are imaginary numbers? An introductory video provides an explanation as to why we need imaginary numbers to solve equations, and makes the connection between the need for zero, negative numbers, and rational numbers throughout...\n
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\n\"Imaginary\n\n
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\nImaginary Numbers\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nHere is a instructional activity that takes all aspects of quadratic functions and incorporates imaginary numbers into the problems. The problems range from simplifying to graphing and solving by using a variety of methods with imaginary...\n
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Instructional Video5:41
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\nImaginary Numbers Are Real (Part 9: Closure)\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nThe last video in a series about imaginary numbers demonstrates the need for complex numbers. Math pupils learn that they need to include the square root of negative one, the building block of the complex...\n
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Worksheet
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\n\"Simplifying\n\n
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\nSimplifying Radicals/Imaginary Numbers\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nLooking for straightforward practice on simplifying radicals and imaginary numbers? Here are 20 problems to practice these skills and an answer key for the odd-numbered questions. \n
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Instructional Video16:57
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\nImaginary Numbers\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nLeave nothing to the imagination! Learners view a thorough lesson on imaginary numbers that introduces the concept, shows how to simplify square roots of negative numbers, and then how to solve quadratic equations with imaginary...\n
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Instructional Video4:42
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\nImaginary Numbers Are Real (Part 3: Cardan's Problem)\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nWere complex numbers discovered or invented? A video presentation makes the case for the discovery of square roots of negative one. In order for complex numbers to be real, then they must behave like other numbers, which they do in terms...\n
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Instructional Video6:51
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\n\"Imaginary\n\n
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\nKrista King Math\n
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\nImaginary Numbers\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nScholars learn to use their imagination in math class! The tutorial explains the origin of the number i and then simplifies expressions that include imaginary numbers. The examples include i raised to different powers, giving...\n
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\n\"Classifying\n\n
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\nClassifying Complex Numbers\n

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\n\nFor Teachers\n\n10th - 12th\n\nStandards\n
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\nImaginary numbers are a real thing. Scholars learn about complex numbers, real numbers, and imaginary numbers. They classify given numbers as strictly complex, strictly real, or strictly imaginary in an individual or group activity.\n
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\nCurated OER\n
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\nChapter 9 - Objective 3.1 Radicals & Imaginary Numbers\n

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\n\nFor Students\n\n11th - 12th\n
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\nIn this imaginary numbers learning exercise, students solve radical equations containing imaginary numbers. They multiply, divide, subtract and add problems. This one-page learning exercise contains ten problems.\n
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Worksheet
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\n\"Quadratic\n\n
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\nCurated OER\n
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\nQuadratic Formula with Imaginary Numbers\n

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\n\nFor Students\n\n8th - 10th\n
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\nIn this quadratic equation worksheet, students use the quadratic formula to solve 6 fill in the blank problems that involve imaginary numbers.\n
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Instructional Video5:16
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\nImaginary Numbers Are Real (Part 2: A Little History)\n

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\nIn some cases, a square root of a negative number must exist in order to determine the roots of a cubic equation. An educational presentation provides a specific example of a cubic with a known root to have an understanding of a...\n
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Instructional Video2:57
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\nImaginary Numbers Are Real (Part 4: Bombelli's Solution)\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nIs the square root of negative one crucial to the process of finding other solutions? Using the properties of the newly discovered square root of negative one, historical mathematician Bobelli is able to solve Cardan's problem. His...\n
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Worksheet
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\n\"Imaginary\n\n
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\nImaginary Numbers\n

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\nFor this Algebra II worksheet, 11th graders solve problems that involve determine the value of expression involving the imaginary unit.  The one page worksheet contains three multiple choice questions.  Answers provided. \n
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\n\"Imaginary\n\n
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\nImaginary Numbers\n

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\nIn this Algebra II worksheet, 11th graders explain how every real number is also a complex number.  The one page worksheet contains one problem with solution. \n
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Lesson Plan
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\nThe Complex Numbers\n

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\n\nFor Teachers\n\n9th - 10th\n
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\nFor this algebra worksheet, students solve 16 problems involving imaginary numbers. In the first three, students find the square root of 3 negative numbers in terms of i. Nine problems involve addition, subtraction, multiplication and...\n
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Instructional Video4:40
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\nImaginary Numbers Are Real (Part 8: Math Wizardry)\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nHow does the Fundamental Theorem of Algebra apply to equations with complex roots? Using recently learned concepts about the complex plane, learners determine all the complex roots of polynomials. They can find the same roots...\n
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Worksheet
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\nComplex and Imaginary Numbers\n

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\n\nFor Students\n\n11th - 12th\n
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\nIn this complex and imaginary numbers instructional activity, learners multiply and divide imaginary and complex numbers. They solve equations containing imaginary numbers. Students determine the roots, sum and product of the roots and...\n
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Unit Plan
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\nEngageNY\n
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\nComplex Numbers and Transformations\n

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\n\nFor Teachers\n\n11th - 12th\n\nStandards\n
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\nYour 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...\n
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Lesson Plan
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\nA Surprising Boost from Geometry\n

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\n\nFor Students\n\n10th - 12th\n\nStandards\n
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\nWorking with imaginary numbers — this is where it gets complex! After exploring the graph of complex numbers, learners simplify them using addition, subtraction, and multiplication. \n
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