## 6.1 Understanding Multiplication Using Dynamic Sketches of an Area Model

Grade:

6-8

Standards:

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 3*y*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?