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Modeling is very easily accomplished with some manipulative pieces and descriptive words. Unlike paper-and-pencil computation, modeling an operation with paper-and-pencil is sometimes difficult for the person who is beginning to learn how to model numbers and perform mathematical operations with the models. Below you will find some modeling examples. In the right-hand column, I have added text to further explain the models on the left |
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Read and/or state the problem.
(The yellow hexagon is defined to be our unit.) |
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Each of the fraction addends is modeled. |
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Addition is the joining of two sets, so the two sets of pieces are joined together in a configuration to resemble our unit piece. |
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The joined pieces are traded for equivalent pieces to represent a whole and a fraction of another whole. |
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Colorwise, we trade for units and pieces of only
one
color.
We can now read the sum from the model. |
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Read and/or state the problem.
(The yellow hexagon is defined to be our unit.) |
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Each of the fraction addends is modeled. |
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Addition is the joining of two sets, so the two sets of pieces are joined together in a configuration to resemble our unit piece. |
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The joined pieces are traded for equivalent pieces to represent a whole and a fraction of another whole. |
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|
Colorwise, we trade for units and pieces of only
one
color.
We can now read the sum from the model. |
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