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Algebra 2/Trigonometry
Imaginary “i” &
Complex Numbers
Mrs. Crespo SJHS 2013-2014
What number multiplied by itself two times equals the radicand?
What is the square root of the following?
How about this?
Talk about square roots…
Rafael
Bombelli
• imaginary number
• there is no number on
the number line that can
be squared to make -1
Renee
Descartes
Examples: P171
SIMPLIFY
A: P208
SIMPLIFY
CalculatorA: P208
Write the sum or difference in terms of i.
Your turn.
Your turn.Simplify
An imaginary number is a complex number whose
squared value is a real number greater than zero.
A COMPLEX NUMBER IS A NUMBER OF THE FORM
a + bi
WHERE a AND b ARE REAL NUMBERS AND i =
graph
graph
Simplify (Add)
(4+3i)+(2+5i) Your Turn: (3-5i)+(2+i)
Simplify (Subtract)
(6+7i) - (2+3i) Your Turn: (10-12i) - (12+7i)
Simplify (Multiply)
(6+7i)(2+3i) Your Turn:
(10-12i)(12+7i)
9(4+6i)
Simplify Imaginary Terms (Divide)
Complex Numbers and Conjugates
Complex Number
– 4 + 2i
– 10 – 6i
– 7i + 5
Complex Conjugate
Simplify (Divide with Conjugates)
(1+i) ÷ (3+2i) Your Turn: (10+6i) ÷ (5-4i)
Homework
Posted in Moodle
Front & Back of Class
AMSCO Txtbook
Pages 208, 215,241
PowerPoint by
Mrs. Crespo
SJHS 2013-2014

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ComplexNumbers_Part 1

Editor's Notes

  1. Anticipatory Set: 1. To prepare the students for the actual lesson on imaginary units and complex numbers, the PowerPoint cover slide is presented. •Ask the students what they observe. Answers vary from noticing the complex number symbol, the graph, to the artwork. Then, inform the student that all the objects on the slide have significant meaning in our pursuit of understanding imaginary “i” and complex numbers.
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