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Adele - Rolling in the Deep
ELTON JOHN - The One Adele - Rolling in the Deep
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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
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Green Bean Casserole
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Unit 5 – Algebra in Context
Word Wall
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Perfect Squares …
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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
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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
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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 =
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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 =
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Activity: Identify the following numbers as perfect squares or not.
16 15 146 300 324 729
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Solving Quadratic Equations by Finding Square Roots
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What is a square root? Since 32 = 9, √9 = 3 Since 132 = 169, √169 = 13
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Find the square root
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Simplify each
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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
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Solve by rewriting equation
Solve 3x2 – 48 = 0 3x2 – = 3x2 = 48 3x2 / 3 = 48 / 3 x2 = 16 After taking square root of both sides, x = ± 4
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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
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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.
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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
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Substitute 0 = -16t2 + 32 = -16t – 32 -32 = -16t2 -32 / -16 = -16t2 / -16 2 = t2 t = √2 seconds or approx. 1.4 seconds
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