
Alg2 Lesson 3.6: Complex Numbers
Presentation
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Medium
+2
Standards-aligned
Monica Ramirez
Used 1+ times
FREE Resource
23 Slides • 6 Questions
1
Lesson 3.6: Complex Numbers
Obj: I can solve quadratic equations with complex
solutions.
EQ: How do I multiply complex numbers?
2
Roles:
Facilitator
Scribe
Resourcer
Includer
Lesson Goals:
● Creative Thinking
● Talk through controversies and conflict
● Recognize and reduce ambiguity
● Encourage thinking based on formulas and prior info
● Help explain ideas to each other
● Own your ideas and work
● Record ideas in your journal
● Answer Questions on Slides
● Follow your team roles
3
Facilitator
• Make sure that all peers are staying on task.
• Give advice or suggestions to resolve the problem.
• Be sure everyone is able to explain.
4
Scribe
• Make sure peers organize their results on their own papers.
• Remind peers to use color, arrows, and other math tools to
communicate your mathematics, reasons, and connections.
• Be ready to join the teacher for a huddle.
5
Resourcer
• Make sure peers are getting the materials needed.
• Make sure that all materials are put away neatly.
• Make sure that peers are logged in to the needed site.
• Help troubleshoot any technology difficulties that may arise.
6
Includer
• Make sure that all peers are talking about their work.
• Helps keep peers’ voice volume low.
• Encourages everyone to ask questions.
• Communicates conflicts or questions to the teacher.
7
● Check off tasks & skills on calendar.
● Select skills to work on.
● Work on Deltamath.
Remember to work on the following too…
8
Part 0: Function Operations
9
10
Area of a Rectangle
11
Labelling
Multiply (x + 2)(x² - 7x + 1).
-7x
+1
-14x
x³
2x²
-7x²
x²
+2
x
12
Multiple Choice
Find the product. (x + 2)(x² - 7x + 1).
13
Volume of a Rectangular Prism
14
Part 1: Complex
Expressions
15
16
17
Match
Match each equivalent expression.
i0
i1
i2
i3
1
i
-1
-i
1
i
-1
-i
18
Part 2: Solve Quadratics by
Taking Square Roots
19
20
21
Multiple Choice
Solve for x. 2x2 + 50 = 0
no solution
x = ±25
22
Inverses with Restricted Domain
Quadratic Functions
need a restricted
domain for their
inverse to be a
function.
23
Part 3: Quadratic Formula
24
25
26
Multiple Choice
Solve for x. 𝑥2 + 2𝑥 + 13 = 0
−1 ± 2i√3
1 ± 2√3
27
Multiple Choice
Solve for x. −2𝑥2 + 6𝑥 − 11 = 0
(6±i√13)/2
28
Random Question of the Day Time
https://wheelofnames.com/4ke-epz We’ll spin the
wheel as a class and spend a minute or so
discussing our answers.
29
Lesson 3.6: Complex Numbers
Obj: I can solve quadratic equations with complex
solutions.
EQ: How do I multiply complex numbers?
Show answer
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