Description
Introduction to Complex Number z as well as definition and correct notation. Reintroduces imaginary number i. Who invented the complex number system? Brief history. Simplifying to Standard Form, Complex Conjugates [for division of complex numbers], Graphing in the Complex Plane, Vectors, Modulus/Magnitude. Operations of complex numbers [add, subtract, multiply, divide]. Deriving the modulus |z| formula using the Pythagorean Theorem. Warm Ups include relevant and foundational skills such as multiplying/adding and simplifying radicals, simplifying expressions using properties of exponents, and simplifying a negative radical, producing the imaginary number i.
A total of 60 quality pages!
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THIS PACKAGE IS ALSO INCLUDED IN MY BUNDLES:
1) Complex Numbers: Polar and Rectangular Forms
2) Full Unit - Complex Numbers [Polar, Rectangular & Euler Forms]
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Lesson 1 Topics:
- Warm Up: Simplifying radicals, both positive and negative. Multiplying and adding radicals in simplest form.
- Introduces the Complex Plane and Standard Form of a complex number z = a + bi.
- Graph a complex number in standard form as a vector in the complex plane, and also how to graph as a vector.
- Introduces the modulus or magnitude |z| and derives the formula using the Pythagorean Theorem.
- Who created the complex number? Goes into brief history and on how many mathematicians contributed to its creation.
- Homework is in the packet. (Additional homework if desired can be access for free with Kuta.)
Lesson 2 Topics:
- Warm Up: Reviews properties of exponents to practice foundational skills in order to raise i to a power, like i^7.
- Reintroduces the imaginary number i, and raising i to a certain power, like i^7.
- Introduces Complex Conjugates. Students also solve a quadratic equation using the quadratic formula to realize how they are "born" in pairs.
- Operations of complex numbers [add, subtract, multiply, divide] and simplifying to standard form.
- Homework is in the packet.
Included:
- Step-by-Step Answer Keys and Scaffolded Notes to EVERYTHING
- 2 Full Lessons - PDF and SmartBoard Versions: Total of 26 Lesson Slides
- 1 Four-Page Packet
CHECK OUT MY BUNDLES:
1) Complex Numbers: Polar and Rectangular Forms
2) Full Unit - Complex Numbers [Polar, Rectangular & Euler Forms]
3) Polar & Rectangular Coordinates and Equations
4) Introduction to the Unit Circle
5) Full Unit: Unit Circle, Angles & Radians, Angular/Linear Speed & Arc Length/Area of Sector
6) Introduction & Graphing SINE and COSINE Functions
Complex Number Standard Form, Modulus, Graph, Operations | 2 Lessons, Packet
Highlights
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Description
Introduction to Complex Number z as well as definition and correct notation. Reintroduces imaginary number i. Who invented the complex number system? Brief history. Simplifying to Standard Form, Complex Conjugates [for division of complex numbers], Graphing in the Complex Plane, Vectors, Modulus/Magnitude. Operations of complex numbers [add, subtract, multiply, divide]. Deriving the modulus |z| formula using the Pythagorean Theorem. Warm Ups include relevant and foundational skills such as multiplying/adding and simplifying radicals, simplifying expressions using properties of exponents, and simplifying a negative radical, producing the imaginary number i.
A total of 60 quality pages!
------------------------------------------------------------------------
THIS PACKAGE IS ALSO INCLUDED IN MY BUNDLES:
1) Complex Numbers: Polar and Rectangular Forms
2) Full Unit - Complex Numbers [Polar, Rectangular & Euler Forms]
------------------------------------------------------------------------
Lesson 1 Topics:
- Warm Up: Simplifying radicals, both positive and negative. Multiplying and adding radicals in simplest form.
- Introduces the Complex Plane and Standard Form of a complex number z = a + bi.
- Graph a complex number in standard form as a vector in the complex plane, and also how to graph as a vector.
- Introduces the modulus or magnitude |z| and derives the formula using the Pythagorean Theorem.
- Who created the complex number? Goes into brief history and on how many mathematicians contributed to its creation.
- Homework is in the packet. (Additional homework if desired can be access for free with Kuta.)
Lesson 2 Topics:
- Warm Up: Reviews properties of exponents to practice foundational skills in order to raise i to a power, like i^7.
- Reintroduces the imaginary number i, and raising i to a certain power, like i^7.
- Introduces Complex Conjugates. Students also solve a quadratic equation using the quadratic formula to realize how they are "born" in pairs.
- Operations of complex numbers [add, subtract, multiply, divide] and simplifying to standard form.
- Homework is in the packet.
Included:
- Step-by-Step Answer Keys and Scaffolded Notes to EVERYTHING
- 2 Full Lessons - PDF and SmartBoard Versions: Total of 26 Lesson Slides
- 1 Four-Page Packet
CHECK OUT MY BUNDLES:
1) Complex Numbers: Polar and Rectangular Forms
2) Full Unit - Complex Numbers [Polar, Rectangular & Euler Forms]
3) Polar & Rectangular Coordinates and Equations
4) Introduction to the Unit Circle
5) Full Unit: Unit Circle, Angles & Radians, Angular/Linear Speed & Arc Length/Area of Sector
6) Introduction & Graphing SINE and COSINE Functions
