### Square Numbers and Area Models

```Square Numbers and Area Models Concept 7 -­‐ a Square Number is a “Perfect Square” -­‐
when you multiply a number by itself, you square the number. Application: When a “Carpet Installer” (or a “Roofer”) calculates how much material he will need to complete a room, he calculates the amount of Square units (either feet or metres) Square Number Product Form Exponent Form 16 4 x 4 42 49 7 x 7 72 The Perfect Square from 1 to 100 are: 1, 4, 9, 16, 25, 36, 49, 64, 81, and 100 We say: Four squared is sixteen “20” is Not a perfect square because you cannot create a square with and area of 20 square units using tiles. Complete the Following Chart – they are all Squares Base (cm) Height (cm) Perimeter (cm) Area (cm2) 6 6 24 36 81 28 10 10 64 Squares and Square Roots
Concept 8 -­‐ Squaring and taking the Square Root are “Inverse Operations” (They are Opposites Operations) -­‐ The Area is the “Square Number” -­‐ The Side Length of the square is the square root of the area. When we multiply a number by itself, we square the number. Note: There are an “odd” number of factors in any Square Example: The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18 and 36 (9 factors) ```