A) The student will estimate and determine the two consecutive integers between which a square root lies.
B) The student will determine both the positive and negative square roots of a given perfect square.
The square root is a grouping symbol is called a radical: √
An integer that multiplies itself results in a perfect square. Perfect squares are always positive; it doesn't matter if the original number is positive or negative.
These products are called "perfect squares" because you can make squares with that many objects (e.g., 1, 4, 9, 16, etc.)
The sides of these perfect squares are called square roots. When a square root multiplies itself, it results in a perfect square:
(square root) x (square root) = (perfect square)
1 x 1 = 1
2 x 2 = 4
3 x 3 = 9
Consecutive means "two in a row." This can mean:
integers: 2, 3, 4, etc.
odd numbers: 1, 3, 5, 7, etc.
even numbers: 2, 4, 6, 8, etc.
Nonperfect squares are numbers where that many objects will not make a square (e.g., 10).
Square roots of nonperfect squares results in irrational numbers that fall between 2 integers.
Irrational numbers have decimal values that do not terminate (stop) and do not repeat.
The square root of 2 is 1.414...
1.414... falls between 1 and 2 on a number line.
estimate (predict with reasonable accuracy) the two integers a square root will be between
calculate the two integers that a square root is between
figure out both the positive root and negative root for a number
Hit the square root button √ and then type in the number.
If you're trying to find the negative root then put a minus sign in front of the square root symbol.
6.D.11-12
7.I.10-11
8.F.15-19
A.A.6