The document discusses properties of squares, including that the area of a square is defined as the length of one side multiplied by itself. It notes that every number has a square and square root, and explores perfect squares versus non-perfect squares. Examples are provided of finding the square of numbers and taking the square root of numbers.

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5. Squares ­­ What do we know?
The area of a square (shape) is:
The square of a number is...
that number multiplied by itself.
Length x Width
Every number has a square.
Length and Width of a square are the same.
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We show a square by writing a superscript .
So, the area of a square is s2. (s means the
length of the sides)
32 = 3 x 3 = 9
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...write 2 more 3 32 = 3 x 3 = 9
Every number has a square root.
√49 means the square root of 49.
Some are only approximate. (Like √50 ≅ 7.1)
This means: What number can we multiply by
itself to get 49? If a number has an exact square root, it is a perfect square.
...write 2 more ...write 2 more non­perfect
squares and their roots.
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6. Squares ­­ What do we know 2?
Pythagorus tells us...
If a number is > 1, its square root is 1. Square both sides.
________ than the number. 2. Add them.
3. Take the square root.
If a number is between 0 and 1, its square
root is _______ than the number.
...write 2 more of each
1. Square both sides.
2. Subtract the smaller one.
3. Take the square root.
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