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Understanding Square Numbers
Grade 8 Mathematics Mr. J. Lingley
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.
Is 8 a square number? Determine the factors of 8...
8 = 1, 2, 4, 8
Are any of these rectangles a square?
What about 9?
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?
AreasAreasAreas
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
Investigating using AreasAreasAreas
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?
AreasAreasAreas
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 un
its
3 un
its
3 units
4 un
its
4 units
5 un
its
5 units
A square number is also known as a perfect square. How do we write the areas of these perfect squares?
AreasAreasAreas
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 un
its
3 un
its
3 units
4 un
its
4 units
5 un
its
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).
Perfect Squares1 unit2
4 unit2
9 unit2
16 unit2
25 unit2
36 unit2
49 unit2
64 unit2
81 unit2
100 unit2
121 unit2
144 unit2
Perfect Squares1 unit2
4 unit2
9 unit2
16 unit2
25 unit2
36 unit2
49 unit2
64 unit2
81 unit2
100 unit2
121 unit2
144 unit2
Number multiplied by itself...
1 2
Your TurnShow 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.
