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Teaching Algebra with Manipulatives

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Equation Models Summary<br />

A zero pair is formed by pairing one positive tile and one negative tile of<br />

the same type.<br />

x 2 x 2<br />

0<br />

0<br />

x<br />

x<br />

1<br />

0<br />

1<br />

You can remove or add the same number of like tiles to each side of the<br />

equation mat <strong>with</strong>out changing its value.<br />

Add 2 negative ones to each side.<br />

x 1 1<br />

<br />

1<br />

1<br />

1<br />

x<br />

1 1<br />

1 1<br />

<br />

1 1 1<br />

1 1<br />

x 2<br />

<br />

3<br />

x 2 ( 2) 3 ( 2)<br />

You can remove or add zero pairs to either side of the equation mat<br />

<strong>with</strong>out changing the equation.<br />

Remove 2 zero pairs.<br />

x<br />

1 1<br />

1 1<br />

<br />

1 1 1<br />

1 1<br />

x<br />

1 1<br />

1<br />

1<br />

<br />

1 1<br />

1<br />

1<br />

1<br />

x 2 (2) 3 (2) x 1<br />

© Glencoe/McGraw-Hill 14 <strong>Teaching</strong> <strong>Algebra</strong> <strong>with</strong> <strong>Manipulatives</strong>

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