Download Section 1.1 - Square Numbers and Area Models

Section 1.1 ­ Square Numbers and Area Models
Unit 1: Square Roots and the Pythagorean Theorem
Section 1: Square Numbers and Area Models
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Section 1.1 ­ Square Numbers and Area Models
Example 1
Is this a square? ________________________________
Why/Why not? _________________________________
____________________________________________________
What are the dimension? _____________________
What is the area of the square? ____________________________________________________
Stop!
Squares are special! In fact the area of a square can be called a __________________!
The perfect square in example 1 is ________
The sides are the ___________
The square root in example 1 is ________
Example 2
Is this a square? ________________________________
Why/Why not? _________________________________
____________________________________________________
What are the dimensions? _____________________
What is the area of the square? ____________________________________________________
What perfect square is shown? ________________
What is the square root? _______________________
Example 3
Is this a square? ________________________________
Why/Why not? _________________________________
____________________________________________________
What are the dimensions? _____________________
What is the area of the square? ____________________________________________________
What perfect square is shown? ________________
What is the square root?
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Section 1.1 ­ Square Numbers and Area Models
It helps to memorize the first few perfect squares! Here is a list of them!
Side Length
Area/Square Number/ Perfect Square 1
1
2
4
3
9
Area/Square Number/ Perfect Square Side Length
** Not good at memorizing? Check out my website for tips to remember this list!!
4 Methods to determine if a number is a perfect square
1. 2.
3.
4.
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Section 1.1 ­ Square Numbers and Area Models
Method 1: Draw the square
‐ Is 36 a perfect square? Is 20 a perfect square?
Method 2: Division
‐ Is 36 a perfect square?
Is 20 a perfect square?
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Section 1.1 ­ Square Numbers and Area Models
Factors ‐_______________________________________________________________
_________________________________________________________________________
_________________________________________________________________________
_________________________________________________________________________ Method 3:: Find the factors of the number ‐ When a number has an ________ number of factors it _____________________________.
‐ When a number has an ________ number of factors it _______________________________.
Is 36 a perfect square?
Is 20 a perfect square?
Prime Number ‐ Composite Number ‐
Prime factorization ‐ end
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Section 1.1 ­ Square Numbers and Area Models
Method 4: Prime Factorization
‐ ‐ Is 36 a perfect square?
Is 20 a perfect square?
Practice:
Use 4 criteria to show that 16 is a perfect square:
Use 4 criteria to show that 28 is not a perfect square:
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