A square patio that is 6 tiles by 6 tiles uses 36 tiles. Because the rows and columns are equal, 36 is a perfect square: 6² = 36.
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Algebra 1 · Unit 1 · Micro-Lesson 3
Recognize Perfect Squares
I canrecognize perfect-square numbers and write them using exponents.
PATHWAY3of 7
Why should I care?
Connect the Math to Real Life
Perfect squares appear in area, tile designs, image grids, building plans, and later when solving quadratic equations.
Important words
Build the Vocabulary
Read the meaning, then connect it to the example.
Perfect square
A number made by multiplying a whole number by itself.
Square number
Another name for a perfect square.
Square root
The side length of a square with a given area.
See the pattern
Worked Examples
5 rows · 5 columns = 5² = 25
The equal side lengths create a square, so 25 is a perfect square.
18 ≠ whole number · itself
No whole number multiplied by itself equals 18.
Try it yourself
8-Question Practice
Choose an answer, check your thinking, and use the hint if you need another try.