Decomposing Rectangles

This video tutorial teaches how to decompose rectangles using benchmark numbers. It begins with an introduction to benchmark numbers and their role in making estimates. The tutorial then demonstrates decomposing various arrays and rectangles, such as 3x9, 4x8, 12x4, and 4x7, using benchmark numbers like 5 and 10. Each decomposition is shown step-by-step, illustrating how the original area is divided into smaller parts while maintaining the same total area. The lesson concludes by summarizing the decomposition process using benchmark numbers.

What are benchmark numbers and how are they used in decomposing rectangles?

Explain the process of decomposing a rectangle with an area of 27 square units.

How can you verify that the areas of decomposed rectangles are equivalent?

Describe the steps taken to decompose a rectangle with an area of 48 square units.

What is the significance of drawing imaginary lines when decomposing rectangles?