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6.1 Understanding Multiplication Using Dynamic Sketches of an Area Model

Number and Operations
Math Content:
Number and Operations

Students are encouraged to build conceptual reasoning for multiplying decimals by manipulating an area model.

Multiply decimals up to 7.0×7.0 by dragging the white slides. You can also alter the area by clicking on the tab (located on the upper right hand corner of the rectangle).
Create a rectangle with a fixed width of 3. The height, y, will vary. Thus, the product 3y will represent the area of a 3-by-y rectangle. Change the value of y so that y>1 and y<1. How do these areas/products compare? What do you observe?