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4. Complex Numbers and Quadratic Equations

Section outline

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  Introduction
  
  Select activity Introduction and Revision
  
  
  
  Introduction and Revision Lesson
  
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  Select activity Introduction to iota
  
  
  
  Introduction to iota Lesson
  
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  Select activity Powers of iota
  
  
  
  Powers of iota Lesson
  
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  Select activity PSV1 Powers of iota
  
  
  
  PSV1 Powers of iota Lesson
  
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  Select activity CT1 Powers of iota
  
  
  
  CT1 Powers of iota Lesson
  
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  Select activity CT2 Powers of iota
  
  
  
  CT2 Powers of iota Lesson
  
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  Complex Numbers
  
  Select activity Understanding Complex Number
  
  
  
  Understanding Complex Number Lesson
  
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  Select activity PSV 2 Understanding Complex Number
  
  
  
  PSV 2 Understanding Complex Number Lesson
  
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  Select activity What are Complex Numbers
  
  
  
  What are Complex Numbers Lesson
  
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  Algebra of Complex Numbers
  
  Select activity Square Roots of Negative Real Number
  
  
  
  Square Roots of Negative Real Number Lesson
  
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  Select activity Equality of Complex Numbers
  
  
  
  Equality of Complex Numbers Lesson
  
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  Select activity PSV3 Equality of Complex Numbers
  
  
  
  PSV3 Equality of Complex Numbers Lesson
  
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  Select activity CT3 Equality of Complex Numbers
  
  
  
  CT3 Equality of Complex Numbers Lesson
  
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  Select activity Algebra of Complex Numbers
  
  
  
  Algebra of Complex Numbers Lesson
  
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  Select activity Multiplication of Complex Numbers
  
  
  
  Multiplication of Complex Numbers Lesson
  
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  Select activity Division of Complex Numbers
  
  
  
  Division of Complex Numbers Lesson
  
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  Select activity PSV1 Algebra of Complex Numbers
  
  
  
  PSV1 Algebra of Complex Numbers Lesson
  
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  Select activity CT1 Algebra of Complex Numbers
  
  
  
  CT1 Algebra of Complex Numbers Lesson
  
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  Select activity CV 4 Multiplicative Inverse of Complex Numbers
  
  
  
  CV 4 Multiplicative Inverse of Complex Numbers Lesson
  
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  Select activity PSV2 Multiplicative Inverse of Complex Numbers
  
  
  
  PSV2 Multiplicative Inverse of Complex Numbers Lesson
  
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  Select activity Concept Test 2
  
  
  
  Concept Test 2 Lesson
  
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  Select activity Identities of Complex Numbers
  
  
  
  Identities of Complex Numbers Lesson
  
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  Select activity PSV3 Identities of Complex Numbers
  
  
  
  PSV3 Identities of Complex Numbers Lesson
  
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  Select activity Operations on Complex Numbers
  
  
  
  Operations on Complex Numbers Lesson
  
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  Select activity Properties & finding square root
  
  
  
  Properties & finding square root Lesson
  
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  Select activity Algebra of Complex Numbers Problem - 1 (ICE - 3)
  
  
  
  Algebra of Complex Numbers Problem - 1 (ICE - 3) Lesson
  
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  Select activity Algebra of Complex Numbers Problem - 2 (ICE - 9)
  
  
  
  Algebra of Complex Numbers Problem - 2 (ICE - 9) Lesson
  
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  Select activity Algebra of Complex Numbers Problem - 3 (ICE - 10)
  
  
  
  Algebra of Complex Numbers Problem - 3 (ICE - 10) Lesson
  
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  Select activity Algebra of Complex Numbers Problem - 4 (ICE - 16)
  
  
  
  Algebra of Complex Numbers Problem - 4 (ICE - 16) Lesson
  
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  The Modulus and the Conjugate of a Complex Number
  
  Select activity Modulus of Complex Number
  
  
  
  Modulus of Complex Number Lesson
  
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  Select activity Argument of Complex Number
  
  
  
  Argument of Complex Number Lesson
  
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  Select activity CT1 Modulus and Argument of Complex Number
  
  
  
  CT1 Modulus and Argument of Complex Number Lesson
  
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  Select activity Conjugate of Complex Number
  
  
  
  Conjugate of Complex Number Lesson
  
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  Select activity PSV1 Conjugate of Complex Number
  
  
  
  PSV1 Conjugate of Complex Number Lesson
  
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  Select activity CT2 Conjugate of Complex Number
  
  
  
  CT2 Conjugate of Complex Number Lesson
  
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  Argand Plane and Polar Representation
  
  Select activity Argand Plane
  
  
  
  Argand Plane Lesson
  
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  Select activity PSV2 Polar Form of Complex Number
  
  
  
  PSV2 Polar Form of Complex Number Lesson
  
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  Select activity Polar Form of Complex Number
  
  
  
  Polar Form of Complex Number Lesson
  
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  Select activity Another Method to find the Polar Form
  
  
  
  Another Method to find the Polar Form Lesson
  
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  Select activity PSV3 Polar Form of Complex Number
  
  
  
  PSV3 Polar Form of Complex Number Lesson
  
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  Select activity CT3 Polar Form of Complex Number
  
  
  
  CT3 Polar Form of Complex Number Lesson
  
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  Select activity CV0 Revision
  
  
  
  CV0 Revision Lesson
  
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  Select activity Complex Numbers on Argand Plane
  
  
  
  Complex Numbers on Argand Plane Lesson
  
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  Select activity Polar Form of Complex Numbers
  
  
  
  Polar Form of Complex Numbers Lesson
  
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  Select activity Euler's Formula & De Moivre's Theorem
  
  
  
  Euler's Formula & De Moivre's Theorem Lesson
  
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  Select activity Argand Plane & Polar Form of Complex Numbers - Problem - 1 (ICE - 4)
  
  
  
  Argand Plane & Polar Form of Complex Numbers - Problem - 1 (ICE - 4) Lesson
  
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  Select activity Argand Plane & Polar Form of Complex Numbers - Problem - 2 (ICE - 8)
  
  
  
  Argand Plane & Polar Form of Complex Numbers - Problem - 2 (ICE - 8) Lesson
  
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  Select activity Argand Plane & Polar Form of Complex Numbers - Problem - 3 (ICE - 10)
  
  
  
  Argand Plane & Polar Form of Complex Numbers - Problem - 3 (ICE - 10) Lesson
  
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  Select activity Argand Plane & Polar Form of Complex Numbers - Problem - 4 (ICE - 12)
  
  
  
  Argand Plane & Polar Form of Complex Numbers - Problem - 4 (ICE - 12) Lesson
  
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  Select activity Argand Plane & Polar Form of Complex Numbers - Problem - 5 (ICE - 14)
  
  
  
  Argand Plane & Polar Form of Complex Numbers - Problem - 5 (ICE - 14) Lesson
  
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  Quadratic Equations
  
  Select activity Quadratic Equations with Imaginary Roots
  
  
  
  Quadratic Equations with Imaginary Roots Lesson
  
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  Select activity PSV1 Finding Imaginary Roots
  
  
  
  PSV1 Finding Imaginary Roots Lesson
  
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  Select activity PSV2 Finding Imaginary Roots
  
  
  
  PSV2 Finding Imaginary Roots Lesson
  
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  Select activity CT Finding Imaginary Roots
  
  
  
  CT Finding Imaginary Roots Lesson
  
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  Select activity Roots of Quadratic Equations
  
  
  
  Roots of Quadratic Equations Lesson
  
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  The Modulus and Conjugate of Complex Number
  
  Select activity Modulus of a Complex Number
  
  
  
  Modulus of a Complex Number Lesson
  
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  Select activity Conjugate of a Complex Number
  
  
  
  Conjugate of a Complex Number Lesson
  
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  Select activity Special Identity for Modulus & Conjugate
  
  
  
  Special Identity for Modulus & Conjugate Lesson
  
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  Select activity Modulus & Conjugate of a Complex Number Problem - 1 (ICE - 6)
  
  
  
  Modulus & Conjugate of a Complex Number Problem - 1 (ICE - 6) Lesson
  
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  Select activity Modulus & Conjugate of a Complex Number Problem - 2 (ICE - 14)
  
  
  
  Modulus & Conjugate of a Complex Number Problem - 2 (ICE - 14) Lesson
  
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  Select activity Modulus & Conjugate of a Complex Number Problem - 3 (ICE - 15)
  
  
  
  Modulus & Conjugate of a Complex Number Problem - 3 (ICE - 15) Lesson
  
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  Advanced
  
  Select activity Complex Roots of Unity
  
  Complex Roots of Unity Lesson
  
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  Select activity Cube Roots of Unity
  
  Cube Roots of Unity Lesson
  
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