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Growing Squares

This is a 1 centimeter × 1 centimeter square. What is its area?

Add square centimeters until the figure is a 2 centimeter × 2 centimeter square. What is its area?

Use tiles or cubes to build larger and larger squares, 3 × 3, then 4 × 4, and so forth. Figure out how the area changes as the square grows.

• 1 Complete this table.

  Length of One Side (centimeters)	Area (square centimeters)	Arithmetic Expression
  1
  2
  3
  4
  5
  6
  10
  15
  20

• 2 What do you notice about how the area increases? Write your observations on a separate sheet of paper.

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