Common Core Math Vocabulary

Area Model - Definition with Examples

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What is an area model? 
In mathematics, an area model can be defined as a rectangular diagram or model used for multiplication and division problems, in which the length and width of the rectangle are defined by the factors or the quotient and divisor, respectively.
We can break one large area of the rectangle into several smaller boxes, using number bonds, to make the calculation easier. We can then add to get the area of the whole, which is the product or the quotient. 

Here, for example, the area model has been used to multiply 27 and 35. 

Area Model used to multiplication

Here, the area model has been used to divide 825 by 5.

Area Model used for division

  Fun Facts

  • The ‘area model’ of solving multiplication and division problems has been derived from the concept of finding the area of a rectangle. Area of a rectangle = Length x Width. 

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While multiplying two and three digit numbers, ask your child to use and differentiate between the standard algorithm and the area model to solve calculate the problem.

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