Square Roots and Perfect Squares

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What is a perfect square?

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A perfect square is a number that can be expressed as the product of an integer with itself. For example, 1, 4, 9, 16, and 25 are perfect squares.

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CCSS.6.EE.A.1

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What is the square root of a number?

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The square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 16 is 4 because 4 x 4 = 16.

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CCSS.8.EE.A.2

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CCSS.8.EE.A.2

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CCSS.8.EE.A.2

Front

If a square has a side length of 5 cm, what is its area?

Back

The area of a square is calculated as side length squared. So, area = 5 cm x 5 cm = 25 cm².

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CCSS.3.MD.C.7B

CCSS.4.MD.A.3

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CCSS.8.EE.A.2

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How do you find the side length of a square if you know the area?

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CCSS.8.EE.A.2

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What is the relationship between square roots and perfect squares?

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The square root of a perfect square is always an integer. For example, the square root of 49 is 7, which is an integer.

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CCSS.8.EE.A.2

Front

What is the formula for the area of a square?

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The area of a square is given by the formula: Area = side length × side length.

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CCSS.3.MD.C.7B

CCSS.4.MD.A.3