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Section 1.1 Square Numbers and Area Models Unit 1: Square Roots and the Pythagorean Theorem Section 1: Square Numbers and Area Models end 1 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? 2 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. end 3 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? end 4 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 5 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: end 6