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Algebra Tiles. Jeffrey Bivin Lake Zurich High School Jeff.bivin@lz95.org. Last Updated: October 11, 2005. X 2 + 6x + 9. x. 1. 1. 1. 1. 1. 1. x. x + 3. Now, complete the square. 1. + 9. 1. 1. x + 3. Jeff Bivin -- LZHS. X 2 + 5x + 25/4. x. 1. 1. .5. 1. 1. 1.
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Algebra Tiles Jeffrey Bivin Lake Zurich High School Jeff.bivin@lz95.org Last Updated: October 11, 2005
X2 + 6x + 9 x 1 1 1 1 1 1 x x + 3 Now, complete the square 1 + 9 1 1 x + 3 Jeff Bivin -- LZHS
X2 + 5x + 25/4 x 1 1 .5 1 1 1 x x + 5/2 Now, complete the square 1 + 25/4 1 .5 x + 5/2 Jeff Bivin -- LZHS
X2 - 6x + 9 x 1 1 1 1 1 1 1 1 1 x - 3 x 1 + 9 1 1 turn 1 square over x - 3 turn 1 square over turn 2 squares over turn 2 squares over turn 3 squares over Jeff Bivin -- LZHS
X2 + 4x + 4 x 1 1 1 1 x x + 2 Now, complete the square 1 4 1 x + 2 Jeff Bivin -- LZHS
(x + 3)(x + 2) x2 + 2x + 3x + 6 x2 + 5x + 6 x + 2 1 1 x x2 2x x + 3 x 1 6 3x 1 1 Jeff Bivin -- LZHS
(x + 2)(x + 5) x2 + 5x + 2x + 10 x2 + 7x + 10 x + 5 1 1 1 1 1 x x2 5x x + 2 x 2x 1 10 1 Jeff Bivin -- LZHS
(x - 2)(x + 3) x2 + 3x - 2x – 6 x2 + x - 6 x + 3 1 1 1 x x2 3x x | 2 x -2x -6 1 1 Jeff Bivin -- LZHS