2Warmup Pick up the handouts on the table. Do as many of the “Perfect Squares” on the back as you can in 1 minute. Then try the “Non-Perfect Squares” WITHOUT A CALCULATOR. I’m looking for the simplest radical form—not the decimal approximation.
3Goals for TodaySecond Graded Homework Assignment (checked for accuracy)—due Monday, Sept. 16—5-point bonus if turned in on Friday, Sept. 13Essential Questions/New MaterialHomework
4Essential Questions How do I evaluate roots of real numbers? How do I rewrite roots of real numbers as rational expressions?
5Notes Review from Algebra I—definitions A term like is called a “power”The “3” is the coefficient“x” is the base“2” is the exponent
6Review Laws of Exponents When you multiply like bases, add the exponents.Example:Add the exponents.Keep the base.
7Review Laws of Exponents When you raise a power to a power, multiply exponents.meansThis is the same as or
8Review Laws of Exponents When you divide powers with the same bases, subtract the exponents.meansCancel out common factors on top and bottom.This leaves which is the same as
9More Exponent InfoGraphic Organizer for Exponents
10New stuff Radical—an expression with a root symbol If the index is even and the radicand is positive, there are two roots—one positive and one negative.If the index is even and the radicand is negative, there are no real roots—only complex ones.INDEXRADICAND
11Rational ExponentsWhat if the exponent is a rational number instead of an integer???EXAMPLE: What does or mean?I’ll write out these notes today under the document camera.
12HomeworkHandout on Radicals and Rational Exponents