Algebra Tiles Activity 1: Adding Integers

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$By: Melissa Hanel Math B/Grade 11 5 Day Unit Plan Technologies ...$

Method 2: In the equation ax 2 + bx +c = 0, if a is not a square, then divide the equation by a.bDivide the in half and arrange the x 2 + b x into the beginning of a square. Add as many zeroa apairs as needed to make a square. Combine the extra +1's and –1's together.!Solve 3p 2 – 6p – 2 = 0 ⇒ p 2 – 2p –!23 = 0 –!Rearrange23–233p 2 – 6p – 2 = 0 ⇒ p 2 – 2p –!Solve: 2x 2 – 5x = 3 ⇒!54!54=x 2 " 5 2 x = 3 2!3223 = 0, (p – 1)2 –!!= 4916 ,!54542516!53 = 0, p =!=!!321± 5 3! !25Notice that in this example we did not add a zero pair of +16 and – 25to the left side of the1625! !equation, but instead added + to both sides of the equation.162x 2 – 5x = 3 ⇒x 2 " 5! 2 x = 3 2 ,#x " 5 &% ($ 4'2+2516!x " 5 4 = ± 7 4 , x = 3, " 1 2 .Solve the following equations by completing the square.1. x 2 ! 2x – 3 = 0 !!!2. x 2 + 4x = – 2
3. p 2 – 6p + 3 = 04. a 2 + 4a = 145. q 2 – 10q – 5 = 06. 9y 2 + 12y = – 47. m 2 – 7m + 3 = 08. 4x 2 – 6x = 1The Quadratic FormulaSolve:a " x 2 + b " x + c = 0 ⇒x 2 + b a x + c a = 0 ⇒x 2 + b a x = " c a!!!b2ab2a!!=" c a!b2a=" c a+b 24a 2!b2ab 24a 2!!!a " x 2 + b " x + c = 0 ⇒!"x + b %$ '# 2a&2= b2 ( 4ac,4a 2 !x + b 2a = ± b2 " 4ac2a!, or x ="b ± b 2 " 4ac2a.!!
Page 1 and 2: Algebra TilesActivity 1: Adding Int
Page 3 and 4: Algebra TilesActivity 2: Subtractin
Page 6 and 7: EXPLORING THE DISTRIBUTIVE PROPERTY
Page 8 and 9: NY Standards: 7.A.4; A.A.22EXPLORIN
Page 10 and 11: EXPLORING ADDING AND SUBTRACTING PO
Page 12 and 13: EXPLORING MULTIPLYING BINOMIALSx 2
Page 14 and 15: Divide each problem.1. x 2 - 5x + 6
Page 16 and 17: Factor each problem.1. -3x 2 + 2x2.
Page 18 and 19: Determine if any of the following a

Algebra Tiles Activity 1: Adding Integers

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