Algebraic thinking - week 4 8. Michelle created a design using square tiles. Here are three of her designs. Michelle wanted to find the number of square tiles needed for any sized figure for her design. She asked her friends to help. Size 1 Size 2 Size 3 Ada: I saw two towers of different heights - one with constant width and one with the width changing - and some extra tiles. Chris: I saw a square with 2 extra rows of tiles. Emma: I saw a large rectangle with two parts removed- a square and a rectangle. Here is what Michelle's friends drew for size 1, 2, and 3: Diagram A Diagram B Diagram C a) Who drew which diagram? b) If T represents the total number of square cards needed, write a number sentence as Ada would write according to her structure and calculate the number of square cards needed for a chair of size 8 in her pattern. Ada: To = c) If T represents the total number of square cards needed, write the equation Chris would record in order to calculate the number of square cards needed for Size N. Chris: TN =