Bruno Mars - Just The Way You Are http://www.youtube.com/watch?v=LjhCEhWiKXk ELTON JOHN - The One http://www.youtube.com/watch?v=9LFJNYb6y5I Adele - Rolling in the Deep http://www.youtube.com/watch?v=rYEDA3JcQqw

Ingredients 3/4 cup firmly packed brown sugar 4 Tbsp (1/4 cup or 1/2 stick) unsalted butter 12 ounces fresh or frozen cranberries 1 3/4 cups all purpose flour 2 teaspoons baking powder 1/2 teaspoon salt 1/2 teaspoon ground ginger 1/4 teaspoon ground cinnamon Scant pinch ground cloves 1 1/2 cups sugar 1/2 cup (1 stick) butter, room temp (plus more for buttering the pan) 3 large eggs 1 Tbsp orange zest 1/2 cup sour cream (or greek yogurt) 1/4 cup of milk

Cranberry Upside Down Cake

Solving Quadratic Equations by Finding Square Roots

What is a square root? If b2 = a, then b = √a If a number square (b2) = another number (a), then b is the square root of a. Example: If 32 = 9, then 3 is the square root of 9

Some basics… All positive numbers have two square roots The 1st is a positive square root, or principal square root. The 2nd is a negative square root Square roots are written with a radical symbol You can show both square roots by using the “plus-minus” symbol ±

Find the square root of numbers

Perfect Squares: Numbers whose square roots are integers or quotients of integers.

Simplify each

Solving quadratics Solve each equation. a. x2=4 b. x2=5 c. x2=0 d. x2=-1 x2=4 has two solutions, x = 2, x = -2 x2=5 has two solutions, x =√5, x =- √5 x2=0 has one solution, x = 0 x2=-1 has no real solution

Solve by rewriting equation Solve 3x2 – 48 = 0 3x2 – 48 + 48 = 0 + 48 3x2 = 48 3x2 / 3 = 48 / 3 x2 = 16 After taking square root of both sides, x = ± 4

Equation of a falling object When an object is dropped, the speed with which it falls continues to increase. Ignoring air resistance, its height h can be approximated by the falling object model. h is the height in feet above the ground t is the number of seconds the object has been falling s is the initial height from which the object was dropped

Application An engineering student is in an “egg dropping contest.” The goal is to create a container for an egg so it can be dropped from a height of 32 feet without breaking the egg. To the nearest tenth of a second, about how long will it take for the egg’s container to hit the ground? Assume there is no air resistance.

The question asks to find the time it takes for the container to hit the ground. Initial height (s) = 32 feet Height when its ground (h) = 0 feet Time it takes to hit ground (t) = unknown

Substitute 0 = -16t2 + 32 -32 + 0 = -16t2 + 32 – 32 -32 = -16t2 -32 / -16 = -16t2 / -16 2 = t2 t = √2 seconds or approx. 1.4 seconds