Warm-up Let’s Graph a Square Guided Practice Squares and Their Sides Independent Practice Real Life Squaring Homework Home squaring Squares and their Sides
Draw four points to create a square. Name all 4 coordinate pairs Let’s Graph a Square (Warm-up)
(5,5) (5,0). (0,5) Quadrant I Quadrant II (0,4). (-4,0) (-4,4)... (-2,0) (-2,-2)(0,-2)... Quadrant III... (6,0) (6,-6)(0,-6) Quadrant IV Possible Answers (0,0).
1. In groups of two, create a square using 49 tiles. 2. What is the area of the square? 3. Find the dimensions of your square. 4. What is another names for square dimensions? 5. What is the relationship between the area of your square and its side? 1. In groups of two, create a square using 49 tiles. 2. What is the area of the square? 3. Find the dimensions of your square. 4. What is another names for square dimensions? 5. What is the relationship between the area of your square and its side? Squares and their Sides
Your square should look like the one below Area is 49 units squared units² Area: 49 units² 7 7 Dimensions or side length is 7 7x7=49 units²
Is there another way to express 7x7? 7 x 7 is also 7² Exponent: number of times the base is being multiplied Base: factor being used to multiply 7² = 7 x 7 = is a perfect square because it is the area of a square and a whole number is its side length. Although there is a 2, we are not multiplying by 2 What type of number is 49?
Model Side Length Equation Expression Verbal Area 49 7² Array of seven columns by seven rows 7²=49 7 Area Representations Let’s Put the Pieces Together!
Model Side Length Equation Expression Verbal Area Complete the missing Area Representations ² Array of thirteen columns by thirteen rows 13²= Key
John’s dad is putting down 1 foot squared wooden tiles on his living room floor. The square room has a side length of 14 feet. How many tiles does he need to buy at the hardware store? John’s dad is putting down 1 foot squared wooden tiles on his living room floor. The square room has a side length of 14 feet. How many tiles does he need to buy at the hardware store? John’s dad is putting down 1 foot squared wooden tiles on his living room floor. The square room has a side length of 14 feet. How many tiles does he need to buy at the hardware store? 1 foot 1 foot squared is… …a square with side lengths of 1 foot 14 tiles 14 feet The total amount of square tiles needed to create a square array of tiles with side length of 14 feet is 14²=14x14=196 ft²