area model
A model of multiplication that shows each place value product within a rectangle drawing.
The area model is a mathematical tool that is used to help illustrate the multiplication of two or more numbers. The model can be thought of as a rectangular grid, where the dimensions of the grid represent the numbers being multiplied. The area of each box within the grid represents the product of the corresponding dimensions.
For example, if we wanted to multiply two numbers together using the area model, let’s say 3 and 4, we would draw a rectangle with a length of 3 and a width of 4. We would then divide the rectangle up into smaller squares, each representing the product of two numbers – in this case, 3 and 4. We would count the number of squares within the rectangle to find the final product of 3 x 4, which is 12.
The area model is a useful tool for visualizing multiplication, particularly for students who may struggle with abstract concepts. It allows them to see the relationship between dimensions and products in a concrete way. The area model can also be adapted for use with more complicated multiplication problems involving multiple digits.
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