Wednesday August 22

UNIT QUESTION: What is a quadratic function? Math II UNIT QUESTION: What is a quadratic function? Standard: MM2A3, MM2A4 Today’s Question: How do we take the square root of negative numbers? Standard: MM2N1.a, b, c, d

Basic Skills Review

in a math class far, far away.. A long long time ago, in a math class far, far away.. There was no way to take the square root of a negative number

Every time we squared a negative number We got a positive.

(-1) = 1 (-2) = 4 (-3) = 9

that when multiplied by itself Was there a number, that when multiplied by itself Gave you a negative???

Can we in fact, take the square root of a negative number? WE CAN!!!!

Ladies and Gentlemen of Math II I present to you a NEW number... A number so complex...

It stretches the imagination.. I present to you:

Examples of how we use:

MORE Examples

Powers of

Do some examples in class before proceeding…

Always divide the exponent by 4. Powers of Always divide the exponent by 4. If you get a remainder of 1 or 0.25, then the answer is __ If you get a remainder of 2 or 0.50, then the answer is __ If you get a remainder of 3 or 0.75, then the answer is __ If it divides evenly, then the answer is __.

Try these… i 117 i 90 i 73 i 56 i 63 i 316 i 33 i 83 i 25 i 18

Complex Numbers A complex number has a real part & an imaginary part. Standard form is: Real part Imaginary part Example: 5+4i

Adding/Subtracting Complex Numbers Combine the like terms and watch the signs! 3+5𝑖 + 6+2𝑖 = −5+7𝑖 + 3−4𝑖 = 2−9𝑖 − 7+4𝑖 =

Try a few!   1. 2. 3. 4.