Algebra Tiles Activity 1: Adding Integers

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

Determine if any of the following are square trinomials. Explain why or why not. Can you tellwithout using the algebra tiles?1. x 2 + 6x + 92. x 2 + 6x + 363. p 2 – 8p + 164. a 2 + 4a + 645. q 2 – 10q – 256. 9y 2 + 12y + 47. 16m 2 + 40m + 258. 4x 2 – 6x + 9
NY Standards: A.A.28; A2.A.24, 25COMPLETING THE SQUARECompleting the square enables you to solve equations that are not easily factorable. It will leadto the quadratic formula for solving quadratic equations.Method 1: In the equation ax 2 + bx +c = 0, if a is a square and b is evenly divisible by 2 a ,then arrange ax 2 + bx into the beginning of a square. Add as many zero pairs as needed to makea square. Combine the extra +1's and –1's together.Ex. Solve x 2 + 4x + 3 = 0!Rearrangex 2 + 4x + 3 = (x + 2) 2 – 1 = 0, or (x + 2) 2 = 1, x + 2 = ±1, x = –1, –3Solve 4x 2 – 4x – 3 = 0Rearrange4x 2 – 4x – 3 = (2x – 1) 2 – 4 = 0, or (2x – 1) 2 = 4, 2x – 1 = ±2, x =32 , " 1 2!
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 20 and 21: Method 2: In the equation ax 2 + bx

Algebra Tiles Activity 1: Adding Integers

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