March+23+Assignments

____March 23 Assignments __ __

 Part A Questions:

 A1) A2) A3) A4) A5) <span style="background-color: transparent; color: #000000; font-family: 'Times New Roman','serif'; font-size: 16px; text-align: start; text-decoration: none; vertical-align: baseline;">A6)
 * 1) <span style="background-color: transparent; background-color: transparent; color: #000000; color: #000000; font-family: serif; font-family: serif; font-size: 16px; font-size: 16px; text-align: start; text-align: start; text-decoration: none; text-decoration: none; vertical-align: baseline; vertical-align: baseline;">**<span style="background-color: transparent; color: #000000; font-family: serif; font-size: 16px; text-align: start; text-decoration: none; vertical-align: baseline;"><span style="background-color: transparent; color: #000000; font-family: 'Verdana','sans-serif'; font-size: 11.3333px; text-align: start; text-decoration: none; vertical-align: baseline;">PP:  **<span style="background-color: transparent; color: #000000; font-family: 'Verdana','sans-serif'; font-size: 11.3333px; text-align: start; text-decoration: none; vertical-align: baseline;"> Parts of a whole, one of the parts unknown
 * 2) <span style="background-color: transparent; background-color: transparent; color: #000000; color: #000000; font-family: serif; font-family: serif; font-size: 16px; font-size: 16px; text-align: start; text-align: start; text-decoration: none; text-decoration: none; vertical-align: baseline; vertical-align: baseline;">**<span style="background-color: transparent; color: #000000; font-family: serif; font-size: 16px; text-align: start; text-decoration: none; vertical-align: baseline;"><span style="background-color: transparent; color: #000000; font-family: 'Verdana','sans-serif'; font-size: 11.3333px; text-align: start; text-decoration: none; vertical-align: baseline;">PW:  **<span style="background-color: transparent; color: #000000; font-family: 'Verdana','sans-serif'; font-size: 11.3333px; text-align: start; text-decoration: none; vertical-align: baseline;"> Parts of a whole, whole unknown
 * 3) <span style="background-color: transparent; background-color: transparent; color: #000000; color: #000000; font-family: serif; font-family: serif; font-size: 16px; font-size: 16px; text-align: start; text-align: start; text-decoration: none; text-decoration: none; vertical-align: baseline; vertical-align: baseline;"><span style="background-color: transparent; color: #000000; font-family: 'Verdana','sans-serif'; font-size: 11.3333px; text-align: start; text-decoration: none; vertical-align: baseline;">MR: **<span style="background-color: transparent; color: #000000; font-family: serif; font-size: 16px; text-align: start; text-decoration: none; vertical-align: baseline;"><span style="background-color: transparent; color: #000000; font-family: 'Verdana','sans-serif'; font-size: 11.3333px; text-align: start; text-decoration: none; vertical-align: baseline;">Merger, result unknown  **
 * 4) <span style="background-color: transparent; background-color: transparent; color: #000000; color: #000000; font-family: serif; font-family: serif; font-size: 16px; font-size: 16px; text-align: start; text-align: start; text-decoration: none; text-decoration: none; vertical-align: baseline; vertical-align: baseline;">**<span style="background-color: transparent; color: #000000; font-family: serif; font-size: 16px; text-align: start; text-decoration: none; vertical-align: baseline;"><span style="background-color: transparent; color: #000000; font-family: 'Verdana','sans-serif'; font-size: 11.3333px; text-align: start; text-decoration: none; vertical-align: baseline;">MC:  **<span style="background-color: transparent; color: #000000; font-family: 'Verdana','sans-serif'; font-size: 11.3333px; text-align: start; text-decoration: none; vertical-align: baseline;"> Merger, change unknown
 * 5) <span style="background-color: transparent; background-color: transparent; color: #000000; color: #000000; font-family: serif; font-family: serif; font-size: 16px; font-size: 16px; text-align: start; text-align: start; text-decoration: none; text-decoration: none; vertical-align: baseline; vertical-align: baseline;">**<span style="background-color: transparent; color: #000000; font-family: serif; font-size: 16px; text-align: start; text-decoration: none; vertical-align: baseline;"><span style="background-color: transparent; color: #000000; font-family: 'Verdana','sans-serif'; font-size: 11.3333px; text-align: start; text-decoration: none; vertical-align: baseline;">MS:  **<span style="background-color: transparent; color: #000000; font-family: 'Verdana','sans-serif'; font-size: 11.3333px; text-align: start; text-decoration: none; vertical-align: baseline;"> Merger, starting point unknown
 * 1) <span style="background-color: transparent; background-color: transparent; color: #000000; color: #000000; font-family: serif; font-family: serif; font-size: 16px; font-size: 16px; text-align: start; text-align: start; text-decoration: none; text-decoration: none; vertical-align: baseline; vertical-align: baseline;">**<span style="background-color: transparent; color: #000000; font-family: serif; font-size: 16px; text-align: start; text-decoration: none; vertical-align: baseline;"><span style="background-color: transparent; color: #000000; font-family: 'Verdana','sans-serif'; font-size: 11.3333px; text-align: start; text-decoration: none; vertical-align: baseline;">SR:  **<span style="background-color: transparent; color: #000000; font-family: 'Verdana','sans-serif'; font-size: 11.3333px; text-align: start; text-decoration: none; vertical-align: baseline;"> Separator, result unknown
 * 2) <span style="background-color: transparent; background-color: transparent; color: #000000; color: #000000; font-family: serif; font-family: serif; font-size: 16px; font-size: 16px; text-align: start; text-align: start; text-decoration: none; text-decoration: none; vertical-align: baseline; vertical-align: baseline;">**<span style="background-color: transparent; color: #000000; font-family: serif; font-size: 16px; text-align: start; text-decoration: none; vertical-align: baseline;"><span style="background-color: transparent; color: #000000; font-family: 'Verdana','sans-serif'; font-size: 11.3333px; text-align: start; text-decoration: none; vertical-align: baseline;">CS:  **<span style="background-color: transparent; color: #000000; font-family: 'Verdana','sans-serif'; font-size: 11.3333px; text-align: start; text-decoration: none; vertical-align: baseline;"> Comparison, starting point unknown
 * 3) <span style="background-color: transparent; background-color: transparent; color: #000000; color: #000000; font-family: serif; font-family: serif; font-size: 16px; font-size: 16px; text-align: start; text-align: start; text-decoration: none; text-decoration: none; vertical-align: baseline; vertical-align: baseline;"><span style="background-color: transparent; color: #000000; font-family: 'Verdana','sans-serif'; font-size: 11.3333px; text-align: start; text-decoration: none; vertical-align: baseline;">CR: **<span style="background-color: transparent; color: #000000; font-family: serif; font-size: 16px; text-align: start; text-decoration: none; vertical-align: baseline;"><span style="background-color: transparent; color: #000000; font-family: 'Verdana','sans-serif'; font-size: 11.3333px; text-align: start; text-decoration: none; vertical-align: baseline;">Comparison, result unknown  **
 * 4) <span style="background-color: transparent; background-color: transparent; color: #000000; color: #000000; font-family: serif; font-family: serif; font-size: 16px; font-size: 16px; text-align: start; text-align: start; text-decoration: none; text-decoration: none; vertical-align: baseline; vertical-align: baseline;">**<span style="background-color: transparent; color: #000000; font-family: serif; font-size: 16px; text-align: start; text-decoration: none; vertical-align: baseline;"><span style="background-color: transparent; color: #000000; font-family: 'Verdana','sans-serif'; font-size: 11.3333px; text-align: start; text-decoration: none; vertical-align: baseline;">SC:  **<span style="background-color: transparent; color: #000000; font-family: 'Verdana','sans-serif'; font-size: 11.3333px; text-align: start; text-decoration: none; vertical-align: baseline;"> Separator, change unknown
 * 5) <span style="background-color: transparent; background-color: transparent; color: #000000; color: #000000; font-family: serif; font-family: serif; font-size: 16px; font-size: 16px; text-align: start; text-align: start; text-decoration: none; text-decoration: none; vertical-align: baseline; vertical-align: baseline;">**<span style="background-color: transparent; color: #000000; font-family: serif; font-size: 16px; text-align: start; text-decoration: none; vertical-align: baseline;"><span style="background-color: transparent; color: #000000; font-family: 'Verdana','sans-serif'; font-size: 11.3333px; text-align: start; text-decoration: none; vertical-align: baseline;">MC:  **<span style="background-color: transparent; color: #000000; font-family: 'Verdana','sans-serif'; font-size: 11.3333px; text-align: start; text-decoration: none; vertical-align: baseline;"> Missing addend, change unknown
 * 6) <span style="background-color: transparent; background-color: transparent; color: #000000; color: #000000; font-family: serif; font-family: serif; font-size: 16px; font-size: 16px; text-align: start; text-align: start; text-decoration: none; text-decoration: none; vertical-align: baseline; vertical-align: baseline;">**<span style="background-color: transparent; color: #000000; font-family: serif; font-size: 16px; text-align: start; text-decoration: none; vertical-align: baseline;"><span style="background-color: transparent; color: #000000; font-family: 'Verdana','sans-serif'; font-size: 11.3333px; text-align: start; text-decoration: none; vertical-align: baseline;">SS:  **<span style="background-color: transparent; color: #000000; font-family: 'Verdana','sans-serif'; font-size: 11.3333px; text-align: start; text-decoration: none; vertical-align: baseline;"> Separator, starting point unknown
 * 1) <span style="background-color: transparent; background-color: transparent; color: #000000; color: #000000; font-family: serif; font-family: serif; font-size: 16px; font-size: 16px; text-align: start; text-align: start; text-decoration: none; text-decoration: none; vertical-align: baseline; vertical-align: baseline;"><span style="background-color: transparent; color: #000000; font-family: 'Times New Roman','serif'; font-size: 16px; text-align: start; text-decoration: none; vertical-align: baseline;">4 x $10 = $40. Units = dollars. Asymmetrical. Multiplicative.
 * 2) <span style="background-color: transparent; background-color: transparent; color: #000000; color: #000000; font-family: serif; font-family: serif; font-size: 16px; font-size: 16px; text-align: start; text-align: start; text-decoration: none; text-decoration: none; vertical-align: baseline; vertical-align: baseline;"><span style="background-color: transparent; color: #000000; font-family: 'Times New Roman','serif'; font-size: 16px; text-align: start; text-decoration: none; vertical-align: baseline;">6 flavors x 5 toppings = 30 sundae combinations. Units = flavors, toppings, and sundae combinations. Symmetrical. Cartesian.
 * 3) <span style="background-color: transparent; background-color: transparent; color: #000000; color: #000000; font-family: serif; font-family: serif; font-size: 16px; font-size: 16px; text-align: start; text-align: start; text-decoration: none; text-decoration: none; vertical-align: baseline; vertical-align: baseline;"><span style="background-color: transparent; color: #000000; font-family: 'Times New Roman','serif'; font-size: 16px; text-align: start; text-decoration: none; vertical-align: baseline;">3 gallons/minute x 6 minutes = 18 gallons. Units = gallons/minute, minutes, and gallons. Asymmetrical. Rate.
 * 4) <span style="background-color: transparent; background-color: transparent; color: #000000; color: #000000; font-family: serif; font-family: serif; font-size: 16px; font-size: 16px; text-align: start; text-align: start; text-decoration: none; text-decoration: none; vertical-align: baseline; vertical-align: baseline;"><span style="background-color: transparent; color: #000000; font-family: 'Times New Roman','serif'; font-size: 16px; text-align: start; text-decoration: none; vertical-align: baseline;">1/3 x 9 sessions = 3 sessions. Units = sessions. Asymmetrical. Partitioning.
 * 5) <span style="background-color: transparent; background-color: transparent; color: #000000; color: #000000; font-family: serif; font-family: serif; font-size: 16px; font-size: 16px; text-align: start; text-align: start; text-decoration: none; text-decoration: none; vertical-align: baseline; vertical-align: baseline;"><span style="background-color: transparent; color: #000000; font-family: 'Times New Roman','serif'; font-size: 16px; text-align: start; text-decoration: none; vertical-align: baseline;">20 m x 30 m = 600m. Units = meters. Symmetrical. Area of a rectangle.
 * 1) <span style="background-color: transparent; background-color: transparent; color: #000000; color: #000000; font-family: serif; font-family: serif; font-size: 16px; font-size: 16px; text-align: start; text-align: start; text-decoration: none; text-decoration: none; vertical-align: baseline; vertical-align: baseline;"><span style="background-color: transparent; color: #000000; font-family: 'Verdana','sans-serif'; font-size: 11.3333px; text-align: start; text-decoration: none; vertical-align: baseline;">[[image:http://tblenderman.wikispaces.com/site/embedthumbnail/placeholder?w=200&h=55 width="200" height="55"]]
 * 2) <span style="background-color: transparent; background-color: transparent; color: #000000; color: #000000; font-family: serif; font-family: serif; font-size: 16px; font-size: 16px; text-align: start; text-align: start; text-decoration: none; text-decoration: none; vertical-align: baseline; vertical-align: baseline;"><span style="background-color: transparent; color: #000000; font-family: 'Times New Roman','serif'; font-size: 16px; text-align: start; text-decoration: none; vertical-align: baseline;">[[image:http://tblenderman.wikispaces.com/site/embedthumbnail/placeholder?w=200&h=55 width="200" height="55"]]
 * 3) <span style="background-color: transparent; background-color: transparent; color: #000000; color: #000000; font-family: serif; font-family: serif; font-size: 16px; font-size: 16px; text-align: start; text-align: start; text-decoration: none; text-decoration: none; vertical-align: baseline; vertical-align: baseline;"><span style="background-color: transparent; color: #000000; font-family: 'Verdana','sans-serif'; font-size: 11.3333px; text-align: start; text-decoration: none; vertical-align: baseline;">Partitive: 15/3=4 Quotative: 15/3=4
 * 1) <span style="background-color: transparent; background-color: transparent; color: #000000; color: #000000; font-family: serif; font-family: serif; font-size: 16px; font-size: 16px; text-align: start; text-align: start; text-decoration: none; text-decoration: none; vertical-align: baseline; vertical-align: baseline;"><span style="background-color: transparent; color: #000000; font-family: 'Times New Roman','serif'; font-size: 16px; text-align: start; text-decoration: none; vertical-align: baseline;">It would be easier to solve using quotative because then you are thinking that there are 2 groups of 50 in 100. If you use the partitive way of thinking then you are thinking that there are 50 groups of 2 in 100. It is a lot less work to have 2 big groups than 50 small groups.
 * 2) <span style="background-color: transparent; background-color: transparent; color: #000000; color: #000000; font-family: serif; font-family: serif; font-size: 16px; font-size: 16px; text-align: start; text-align: start; text-decoration: none; text-decoration: none; vertical-align: baseline; vertical-align: baseline;"><span style="background-color: transparent; color: #000000; font-family: 'Times New Roman','serif'; font-size: 16px; text-align: start; text-decoration: none; vertical-align: baseline;">Partitive
 * 1) <span style="background-color: transparent; background-color: transparent; color: #000000; color: #000000; font-family: serif; font-family: serif; font-size: 16px; font-size: 16px; text-align: start; text-align: start; text-decoration: none; text-decoration: none; vertical-align: baseline; vertical-align: baseline;"><span style="background-color: transparent; color: #000000; font-family: 'Times New Roman','serif'; font-size: 16px; text-align: start; text-decoration: none; vertical-align: baseline;">Casey has 43 tootsie rolls to give his friends. He has 4 friends with him. How many tootsie rolls does each friend get so that everyone has the same amount?
 * 2) <span style="background-color: transparent; background-color: transparent; color: #000000; color: #000000; font-family: serif; font-family: serif; font-size: 16px; font-size: 16px; text-align: start; text-align: start; text-decoration: none; text-decoration: none; vertical-align: baseline; vertical-align: baseline;"><span style="background-color: transparent; color: #000000; font-family: 'Times New Roman','serif'; font-size: 16px; text-align: start; text-decoration: none; vertical-align: baseline;">There are 43 people in a family that need a ride to the airport. Each car can hold 4 people. How many cars will the family need?
 * 3) <span style="background-color: transparent; background-color: transparent; color: #000000; color: #000000; font-family: serif; font-family: serif; font-size: 16px; font-size: 16px; text-align: start; text-align: start; text-decoration: none; text-decoration: none; vertical-align: baseline; vertical-align: baseline;"><span style="background-color: transparent; color: #000000; font-family: 'Times New Roman','serif'; font-size: 16px; text-align: start; text-decoration: none; vertical-align: baseline;">If 4 pizzas cost $43 dollars, then how much was each pizza?

<span style="background-color: transparent; color: #000000; font-family: serif; font-size: 16px; text-align: start; text-decoration: none; vertical-align: baseline;"><span style="background-color: transparent; color: #000000; font-family: 'Times New Roman','serif'; font-size: 16px; text-align: start; text-decoration: none; vertical-align: baseline;"> Part B Questions:

<span style="background-color: transparent; color: #000000; font-family: serif; font-size: 16px; text-align: start; text-decoration: none; vertical-align: baseline;"><span style="background-color: transparent; color: #000000; font-family: 'Times New Roman','serif'; font-size: 16px; text-align: start; text-decoration: none; vertical-align: baseline;"> B1) <span style="background-color: transparent; color: #000000; font-family: serif; font-size: 16px; text-align: start; text-decoration: none; vertical-align: baseline;"><span style="background-color: transparent; color: #000000; font-family: 'Times New Roman','serif'; font-size: 16px; text-align: start; text-decoration: none; vertical-align: baseline;">B2) <span style="background-color: transparent; color: #000000; font-family: serif; font-size: 16px; text-align: start; text-decoration: none; vertical-align: baseline;"><span style="background-color: transparent; color: #000000; font-family: 'Times New Roman','serif'; font-size: 16px; text-align: start; text-decoration: none; vertical-align: baseline;">B3) <span style="background-color: transparent; color: #000000; font-family: serif; font-size: 16px; text-align: start; text-decoration: none; vertical-align: baseline;"><span style="background-color: transparent; color: #000000; font-family: 'Times New Roman','serif'; font-size: 16px; text-align: start; text-decoration: none; vertical-align: baseline;">  <span style="background-color: transparent; color: #000000; font-family: serif; font-size: 16px; text-align: start; text-decoration: none; vertical-align: baseline;"><span style="background-color: transparent; color: #000000; font-family: 'Times New Roman','serif'; font-size: 16px; text-align: start; text-decoration: none; vertical-align: baseline;">B4) <span style="background-color: transparent; color: #000000; font-family: serif; font-size: 16px; text-align: start; text-decoration: none; vertical-align: baseline;"><span style="background-color: transparent; color: #000000; font-family: 'Times New Roman','serif'; font-size: 16px; text-align: start; text-decoration: none; vertical-align: baseline;"> <span style="background-color: transparent; color: #000000; font-family: serif; font-size: 16px; text-align: start; text-decoration: none; vertical-align: baseline;"><span style="background-color: transparent; color: #000000; font-family: 'Times New Roman','serif'; font-size: 16px; text-align: start; text-decoration: none; vertical-align: baseline;">B5) <span style="background-color: transparent; color: #000000; font-family: serif; font-size: 16px; text-align: start; text-decoration: none; vertical-align: baseline;"><span style="background-color: transparent; color: #000000; font-family: 'Times New Roman','serif'; font-size: 16px; text-align: start; text-decoration: none; vertical-align: baseline;">B6)
 * 1) <span style="background-color: transparent; background-color: transparent; color: #000000; color: #000000; font-family: serif; font-family: serif; font-size: 16px; font-size: 16px; text-align: start; text-align: start; text-decoration: none; text-decoration: none; vertical-align: baseline; vertical-align: baseline;"><span style="background-color: transparent; color: #000000; font-family: 'Times New Roman','serif'; font-size: 16px; text-align: start; text-decoration: none; vertical-align: baseline;">flat=1, long=5, units=6
 * 2) <span style="background-color: transparent; background-color: transparent; color: #000000; color: #000000; font-family: serif; font-family: serif; font-size: 16px; font-size: 16px; text-align: start; text-align: start; text-decoration: none; text-decoration: none; vertical-align: baseline; vertical-align: baseline;"><span style="background-color: transparent; color: #000000; font-family: 'Verdana','sans-serif'; font-size: 11.3333px; text-align: start; text-decoration: none; vertical-align: baseline;">13 • 12 = (10 + 3) • (10 + 2) = (10 • 10) + (3 • 10) + (2 • 10) + (3 • 2) This shows that you can multiple the length and the width together from each piece of the manipulative and then add each piece to the others.
 * 1) <span style="background-color: transparent; background-color: transparent; color: #000000; color: #000000; font-family: serif; font-family: serif; font-size: 16px; font-size: 16px; text-align: start; text-align: start; text-decoration: none; text-decoration: none; vertical-align: baseline; vertical-align: baseline;"><span style="background-color: transparent; color: #000000; font-family: 'Times New Roman','serif'; font-size: 16px; text-align: start; text-decoration: none; vertical-align: baseline;">[[image:http://tblenderman.wikispaces.com/site/embedthumbnail/placeholder?w=473&h=188 width="473" height="188"]]
 * 1) <span style="background-color: transparent; background-color: transparent; color: #000000; color: #000000; font-family: serif; font-family: serif; font-size: 16px; font-size: 16px; text-align: start; text-align: start; text-decoration: none; text-decoration: none; vertical-align: baseline; vertical-align: baseline;"><span style="background-color: transparent; color: #000000; font-family: 'Verdana','sans-serif'; font-size: 11.3333px; text-align: start; text-decoration: none; vertical-align: baseline;">[[image:http://tblenderman.wikispaces.com/site/embedthumbnail/placeholder?w=200&h=50 width="200" height="50" caption="external image 4b3_solution.gif"]]
 * 1) <span style="background-color: transparent; background-color: transparent; color: #000000; color: #000000; font-family: serif; font-family: serif; font-size: 16px; font-size: 16px; text-align: start; text-align: start; text-decoration: none; text-decoration: none; vertical-align: baseline; vertical-align: baseline;"><span style="background-color: transparent; color: #000000; font-family: 'Times New Roman','serif'; font-size: 16px; text-align: start; text-decoration: none; vertical-align: baseline;">187/11=17.If you divide 187 units into eleven equal rows, then each row will contain 17 units.
 * 2) <span style="background-color: transparent; background-color: transparent; color: #000000; color: #000000; font-family: serif; font-family: serif; font-size: 16px; font-size: 16px; text-align: start; text-align: start; text-decoration: none; text-decoration: none; vertical-align: baseline; vertical-align: baseline;"><span style="background-color: transparent; color: #000000; font-family: 'Verdana','sans-serif'; font-size: 11.3333px; text-align: start; text-decoration: none; vertical-align: baseline;">[[image:http://tblenderman.wikispaces.com/site/embedthumbnail/placeholder?w=200&h=50 width="200" height="50" caption="external image 4b4_solution.gif"]]
 * 1) <span style="background-color: transparent; background-color: transparent; color: #000000; color: #000000; font-family: serif; font-family: serif; font-size: 16px; font-size: 16px; text-align: start; text-align: start; text-decoration: none; text-decoration: none; vertical-align: baseline; vertical-align: baseline;"><span style="background-color: transparent; color: #000000; font-family: 'Verdana','sans-serif'; font-size: 11.3333px; text-align: start; text-decoration: none; vertical-align: baseline;">[[image:http://tblenderman.wikispaces.com/site/embedthumbnail/placeholder?w=200&h=50 width="200" height="50" caption="external image 4b5_solution.gif"]][[image:http://tblenderman.wikispaces.com/site/embedthumbnail/placeholder?w=376&h=155 width="376" height="155"]]
 * 1) <span style="background-color: transparent; background-color: transparent; color: #000000; color: #000000; font-family: serif; font-family: serif; font-size: 16px; font-size: 16px; text-align: start; text-align: start; text-decoration: none; text-decoration: none; vertical-align: baseline; vertical-align: baseline;"><span style="background-color: transparent; color: #000000; font-family: 'Times New Roman','serif'; font-size: 16px; text-align: start; text-decoration: none; vertical-align: baseline;">Yes, the algorithm matches the area model because 182/13=14. This is shown because 14 thirteens in 182 and 13 fourteens in 182.