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Algebra Tiles can be used

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to physically model the product of two linear binomials.

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On the Guided Practice tab, you can choose

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between three different levels.

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In levels 1 and 2, two binomials are randomly generated for you.

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Their tile representation lines the top

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and left side of the grid.

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To multiply the two binomials,

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drag tiles from the Tile Bank to the inside of the grid

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to represent the product of the two outside tiles.

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Each tile should align with the length of any tiles

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on each of its sides.

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Continue dragging tiles to the inside of the grid

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until all the outside tiles have been multiplied together

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and their product is displayed inside the grid.

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If you make a mistake while modeling the product,

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you can drag the tiles back to the tile bank,

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or click “Clear” to clear the grid.

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When completed, the product inside the grid

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should make a rectangle.

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Click “Check” to verify that the product is modeled correctly.

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Remember, each tile should align with the lengths of any tiles

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on each of its sides.

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Once the model is correct,

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you will be prompted to enter the product as a polynomial.

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To input the polynomial,

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use the arrows above and below each value

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to numerically represent the number

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of the different types of tiles inside the grid.

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Click “Check” again to proceed.

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Click “Try Another” to try another example.

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In level 2, the product of the binomials

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may contain negative values.

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These values can be represented by red negative tiles.

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To multiply the two binomials,

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drag tiles from the Tile Bank to the inside of the grid

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to represent the product of the two outside tiles.

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Each tile should align with the length of the tiles

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on any of its sides.

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The sign of the tile is determined by the given factors.

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Continue dragging tiles to the inside of the grid

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until all the outside tiles have been multiplied together

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and their product is displayed inside the grid.

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When completed, the product inside the grid

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should make a rectangle.

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Click “Check” to verify that the product is modeled correctly.

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If you make a mistake while modeling the product,

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you can drag the tiles back to the tile bank,

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or click “Clear” to clear the grid.

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To input the resulting polynomial,

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use the arrows above and below each value

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to numerically represent the value

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of the tiles inside the grid.

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Click “Check” again to proceed.

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Click “Try Another” to try another example.

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In level 3, you must set up the tile representation

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of the binomial factors outside the grid

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before determining their product inside the grid.

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Drag tiles from the Tile Bank to the area outside the grid.

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If you make a mistake while modeling the factors,

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you can drag tiles back to the Tile Bank to delete them

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or click “Clear” to clear the outside of the grid.

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Click “Check” when you have finished

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representing the binomials.

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When the binomials are modeled correctly,

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you can proceed with multiplying.

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In the Workspace tab, you can enter your own binomials.

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Toggle the arrows above and below each value

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to create two binomials to multiply.

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Click “Submit” when you are finished entering the binomials.

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If either of the binomials will not fit in the given grid

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an error message will appear.

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Drag tiles from the Tile Bank to the area outside the grid

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to set up the tile representation of the binomials.

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Click Check

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when you have finished representing the binomials.

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When the binomials are modeled correctly,

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you can proceed with multiplying.