2. What Are Square Numbers
How can we tell if a
number is square?
A number will be square if you
can form a square using the same
factor for the length of all 4 sides.
Is 8 a square number?
To determine if 8 is a
square number, draw
all rectangles that have
an area of 8 units.
3. Is 8 a square number?
Determine the
factors of 8...
8 = 1, 2, 4, 8
Are any of these rectangles a square?
5. Investigating using
1 unit
1 unit
Working in your group of 4, you must:
1. Using Shreddies, make as many different
rectangles as you can for each area.
2. For each indicated area, draw the
rectangles on your grid paper.
3. Are there any areas, that you believe are
square numbers? Why do you think this?
Areas
4 square units 6 square units 8 square units
9 square units 12 square units 16 square units
18 square units 20 square units 25 square units
6. Investigating using
Areas
4 square units 6 square units 8 square units
9 square units 12 square units 16 square units
18 square units 20 square units 25 square units
Which of these
areas are square
numbers?
How do you know?
7. Areas
4 square units 6 square units 8 square units
9 square units 12 square units 16 square units
18 square units 20 square units 25 square units
2 units
2 units
3 units
3 units
4 units
4 units
5 units
5 units
A square number is also known as a perfect square.
How do we write the areas of these perfect squares?
8. Areas
4 square units 6 square units 8 square units
9 square units 12 square units 16 square units
18 square units 20 square units 25 square units
2 units
2 units
3 units
3 units
4 units
4 units
5 units
5 units
A square number is also known as a perfect square.
How do we write the areas of these perfect squares?
4 units2 9 units2 16 units2 25 units2
Simply means that this is an area in two dimensions (or multiplied by itself).
11. Your Turn
Show that 49 is a square number. Use a
diagram, numbers and words.
A square picture has an area of 144 cm2.
Find the perimeter of the picture.
1.
2.
