Summary:
Today's class began with a conversation about the t.v. show Extreme Home Makeover as the hook and progressed into talking about how we can design a rectangular bedroom with a fixed perimeter but changing area. Students were given time to work through a set of four questions which are posted below and tonight should again answer the four questions but with a new fixed perimeter of 18 meters.
Your family has been chosen to participate in the hit ABC show Extreme Home Makeover. You are given a piece of rope measuring 20 meters long and are told that you can section off any piece of the house to serve as your master bedroom with the following requirements: the perimeter of your room is limited to 20 meters and must be in the shape of a rectangle.
A. Sketch at least 5 different rectangles, all having a perimeter of 20 meters.
B. Make a table of data which focuses on the length of a side and the area of each rectangle for all rectangles with a perimeter of 20 meters. All side lengths must be whole number values.
Today's class began with a conversation about the t.v. show Extreme Home Makeover as the hook and progressed into talking about how we can design a rectangular bedroom with a fixed perimeter but changing area. Students were given time to work through a set of four questions which are posted below and tonight should again answer the four questions but with a new fixed perimeter of 18 meters.
Your family has been chosen to participate in the hit ABC show Extreme Home Makeover. You are given a piece of rope measuring 20 meters long and are told that you can section off any piece of the house to serve as your master bedroom with the following requirements: the perimeter of your room is limited to 20 meters and must be in the shape of a rectangle.
A. Sketch at least 5 different rectangles, all having a perimeter of 20 meters.
B. Make a table of data which focuses on the length of a side and the area of each rectangle for all rectangles with a perimeter of 20 meters. All side lengths must be whole number values.
C. Make a graph of your data. (Length of side A vs. Area)
Describe the shape of your graph.
D. If you want to enclose the greatest area possible with your 20 meters of rope, what should the dimensions of your bedroom be?
How can you use your graph to justify your answer?
Home Nugget #30
Assigned on Monday February 26, 2007
Due on Tuesday February 27, 2007
Answer questions A, B, C and D (posted above) using a fixed perimeter of 18 meters for your rectangles.
FCAs
4 points: parts A, B, C and D are answered correctly. 1 point per question
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