2. We will:
• Understand the meaning of squaring a
number and finding the square root of a
number
• Find squares of numbers
• Raise a whole number to a whole number
power
• Find square roots of perfect squares
• Find approximate square roots of nonperfect squares
3. Shade in graph paper to make each of the shapes below. Each shape is a
square.
Count and write the number of square tiles in each of the
larger squares below.
1.
2.
3.
4. Continue to draw larger squares. Make one that is 7 tiles
wide and 7 tiles high; then make one that is 8 wide and 8
high. Count the number of squares in each shape.
4. 7 by 7 = ____
5. 8 by 8 = ____
5. Talk to the person next to you about the following
questions. Be prepared to discuss them if I call on you.
•The numbers 1, 4, 9, 16, 25, etc. are known as perfect
squares. Why do you think they are called perfect squares?
•How are the width and the height of the squares related?
How are they related to the total number of tiles?
•How could you find the next numbers that are perfect
squares without tiles?
6. If a square measures 4
inches on each side, how
would you find its area?
4 inches
4 inches
4 inches
4 inches
8. A square must have the
same length and width.
4 inches
4 inches
A=l•w
A = 4 in. • 4 in.
9. Square Number
• Also called a “perfect square”
• A number that is the square
of a whole number
• Can be represented by
arranging objects in a square.
18. If a number is a perfect square, then you
can find its exact square root.
A perfect square is simply a number that
can be written as the square of another
number.
19. What are the first 10 whole numbers
that are perfect squares?
2
2
2
2
2
2
2
2
2
1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10
1, 4, 9, 16, 25, 36, 49, 64, 81, 100
2
20. -What’s the opposite operation to
addition?
-What’s the opposite operation to
multiplication?
-The opposite operation to squaring
a number is taking the square root.
62 = 36
36 = 6
32. Find the two square roots of each number.
A. 49
–
49 = 7
49 = –7
B. 100
100 = 10
– 100 = –10
7 is a square root, since 7 • 7 = 49.
–7 is also a square root, since
–7 • –7 = 49.
10 is a square root, since 10 • 10 = 100.
–10 is also a square root, since
–10 • –10 = 100.
33. Find the two square roots of each number.
A. 25
–
25 = 5
25 = –5
B. 144
144 = 12
5 is a square root, since 5 • 5 = 25.
–5 is also a square root, since
–5 • –5 = 25.
12 is a square root, since 12 • 12 = 144.
– 144 = –12 –12 is also a square root, since
–12 • –12 = 144.
34. Open your books to page 72 so we
can try some problems together