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On the Guided Practice tab,

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two-step equations will be generated for you.

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In level 1, generated equations can be solved

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using the inverse operation

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of addition or subtraction of constant terms

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and the inverse operation of multiplication.

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To solve an equation using algebra tiles,

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first use the tiles to represent the equation.

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Drag tiles from the tile bank to model the equation exactly.

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If you make a mistake while modeling the equation,

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you can drag tiles back to the tile bank to delete them.

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Click “Check” when you have modeled the equation.

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The equation must be modeled correctly

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before you can proceed to the next step.

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When the equation is modeled correctly,

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a thumbnail image of your model will be preserved for you,

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in case you wish to reference it later.

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Now isolate the unknown by dragging tiles

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from the tile bank to both sides of the equation.

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Notice that when you drag tiles to one side of the workspace,

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the equals sign turns red until you drag matching tiles

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to the other side to rebalance the equation.

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When a positive tile and a negative tile

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are on the same side of the workspace together

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and the equation is balanced,

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the two tiles will automatically cancel.

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Drag tiles from the tile bank to both sides

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until all of the unknown tiles

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are on one side of the equals sign

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and all of the constant tiles are on the other.

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Click “Ready” when you are done isolating the unknown.

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Again, a thumbnail image of your model will be preserved for you,

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in case you wish to reference it later.

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Now that the unknown is isolated,

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it is time to divide.

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Select the integer to divide by.

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You should divide by the number of unknown tiles.

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If you pick the wrong number,

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you will be able to pick a different number

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from the drop-down menu.

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Dividing by a negative number flips all of the tiles,

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so positives become negatives and negatives become positives.

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Now divide the tiles evenly among the zones that appear.

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If any of the tiles are shaking,

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then they have not been placed into a zone yet.

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Click “Ready” when the tiles

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are evenly distributed between the zones.

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All of the zones but the first on each side will fade,

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thereby showing the solution.

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Interpret the solution

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by counting the number of constant tiles

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that correspond to the unknown tile.

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Select the value of x from the drop-down icon.

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If you select the wrong value,

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an error message will appear and you can try again.

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After you have found the solution,

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thumbnail images of each stage appear,

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along with their related equations.

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In this way, you can observe the steps you took

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to solve the two-step equation.

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Click “Try another” to try another example.

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In level 2, generated equations can be solved

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using the inverse operation

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of addition or subtraction of unknown terms

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and the inverse operation of multiplication.

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To solve an equation using algebra tiles,

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first use the tiles to represent the equation.

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Drag tiles from the tile bank to model the equation exactly.

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Click “Check” when you have modeled the equation.

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The equation must be modeled correctly

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before you can proceed to the next step.

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When the equation is modeled correctly,

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a thumbnail image of your model will be preserved for you,

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in case you wish to reference it later.

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Now isolate the unknown by dragging tiles

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from the tile bank to both sides of the equation.

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Notice that when you drag tiles to one side of the workspace,

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the equals sign turns red until you drag matching tiles

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to the other side to rebalance the equation.

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When a positive tile and a negative tile

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are on the same side of the workspace together

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and the equation is balanced,

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the two tiles will automatically cancel.

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Drag tiles from the tile bank to both sides

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until the unknown tiles are on one side of the equals sign

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and all of the constant tiles are on the other.

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Click “Ready” when you are done isolating the unknown.

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Now that the unknown is isolated,

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it is time to divide.

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Select the integer to divide by.

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You should divide by the number of unknown tiles.

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If you pick the wrong number,

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you will be able to pick a different number

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from the drop-down menu.

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Dividing by a negative number flips all of the tiles,

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so positives become negatives and negatives become positives.

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Now divide the tiles evenly among the zones that appear.

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If any of the tiles are shaking,

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then they have not been placed into a zone yet.

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Click “Ready” when the tiles are evenly distributed

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between the zones.

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All of the zones but the first on each side will fade,

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thereby showing the solution.

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Interpret the solution by

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counting the number of constant tiles

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that correspond to the unknown tile.

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Select the value of x from the drop-down icon.

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If you select the wrong value,

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an error message will appear and you can try again.

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After you have found the solution,

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thumbnail images of each stage appear,

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along with their related equations.

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In this way, you can observe the steps you took

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to solve the two-step equation.

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Click “Try another” to try another example.

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In Level 1 of the Workspace tab,

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you can enter equations that can be solved

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using the inverse operation

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of addition or subtraction of constant terms

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and the inverse operation of multiplication

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just like Level 1 of the Guided Practice tab.

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In this virtual manipulative, 

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the equations that you can enter are limited

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to expressions and solutions

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that can be modeled by algebra tiles.

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Therefore, the values that you choose for some drop-downs

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affect your options for others.

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In Level 2 of the Workspace tab,

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you can enter equations that can be solved

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using the inverse operation

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of addition or subtraction of unknown terms

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and the inverse operation of multiplication

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just like Level 2 of the Guided Practice tab.

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In this virtual manipulative,

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the equations that you can enter are limited to

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expressions and solutions that can be modeled by algebra tiles,

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so the value that you choose for a drop-down

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for the coefficient of an unknown term

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determines the option you can pick

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for the drop-down for the other unknown term.