The Complex Number i Algebra II-For Gifted Students N.CN.1 Know there is a complex number such that = −1, and every complex number has the form with a and b real. N.CN.2 Use the relation = –1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers.
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The Complex Number i
Algebra II-For Gifted Students
N.CN.1 Know there is a complex number such that = −1, and every complex number has the form with a and b real.
N.CN.2 Use the relation = –1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers.
Objective Given the information provided and
previous knowledge of exponents, students will be able to compute the powers of i, and add and subtract complex numbers of the form 85% of the time. Each student will need a computer with
internet access, a pencil, and paper.
To begin…
(
Introducing an Imaginary Number Imagine a number where . Therefore .