Adele - Rolling in the Deep

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Presentation transcript:

Adele - Rolling in the Deep ELTON JOHN - The One http://www.youtube.com/watch?v=9LFJNYb6y5I Adele - Rolling in the Deep http://www.youtube.com/watch?v=rYEDA3JcQqw

Ingredients 2 cans (14.5 oz each) French-style green beans, drained 1can (10 3/4 oz) condensed cream of mushroom soup ¼ cup milk 1can (2.8 oz) French-fried onions

Green Bean Casserole

Unit 5 – Algebra in Context Word Wall

Perfect Squares 12 22 32 42 52 …

Square Numbers 1 x 1 = 1 2 x 2 = 4 3 x 3 = 9 4 x 4 = 16 5 x 5 = 25 6 x 6 = 36 7 x 7 = 49 8 x 8 = 64 9 x 9 = 81 10 x 10 = 100 11 x 11 = 121 12 x 12 = 144 13 x 13 = 169 14 x 14 = 196 15 x 15 = 225

Square Numbers 1 x 1 = 1 2 x 2 = 4 3 x 3 = 9 4 x 4 = 16 5 x 5 = 6 x 6 = 36 7 x 7 = 49 8 x 8 = 64 9 x 9 = 81 10 x 10 = 100 11 x 11 = 12 x 12 = 144 13 x 13 = 169 14 x 14 = 196 15 x 15 = 225

Square Numbers 1 x 1 = 1 2 x 2 = 3 x 3 = 9 4 x 4 = 16 5 x 5 = 6 x 6 = 36 7 x 7 = 49 8 x 8 = 9 x 9 = 81 10 x 10 = 100 11 x 11 = 12 x 12 = 144 13 x 13 = 14 x 14 = 196 15 x 15 =

Square Numbers 1 x 1 = 1 2 x 2 = 3 x 3 = 9 4 x 4 = 16 5 x 5 = 6 x 6 = 36 7 x 7 = 8 x 8 = 9 x 9 = 81 10 x 10 = 100 11 x 11 = 12 x 12 = 144 13 x 13 = 14 x 14 = 15 x 15 =

Activity: Identify the following numbers as perfect squares or not. 16 15 146 300 324 729

Solving Quadratic Equations by Finding Square Roots

What is a square root? Since 32 = 9, √9 = 3 Since 132 = 169, √169 = 13

Find the square root          

Simplify each

http://www.sporcle.com/games/etes97/perfect-squares

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