Once students arrive at their answers, there is a lot to talk about. Doing this also reinforces computation skills, and so it works well in a multilevel classroom. It invites students to construct several different rectangles, which ideally will lead them to a better understanding of how dimensions relate to perimeter. I also like how this problem encourages creative thinking about basic shapes. What I liked about the gold rush problem is that it took the garden problem a step further by asking students to analyze what happens to area when perimeter is doubled, tripled, etc, and I like how it invites different strategies for solving. I love the Gold Rush Problem because it is similar to a problem that I had used in my class before the version I used involved maximizing the area of a garden given a limited amount of available fencing to surround the garden. Tags: area, optimization, patterns, perimeter Source: Mathematics Assessment Project (adapted) Subjects: Functions, Geometry It read: “Join the ropes together! You can get more land if you work together!” Investigate whether or not this statement is actually true for two or more prospectors who work together and divide the plot equally, still using just four stakes. One prospector noticed an advertisement that Billy had posted on his land. Each prospector then had to use the stakes and the rope to mark off a rectangular plot of land.ġ.Ěssuming that each prospector would like to have the biggest possible plot, what should the dimensions of each plot be? Explain the reasoning behind your answer in a sentence or two.Ģ. Billy gave each prospector four wooden stakes and a rope measuring exactly 100 meters in length. Instead of digging the gold himself, he decided to rent plots of land to the prospectors. Over the next several years, hundreds of thousands of prospectors traveled westward hoping to make their fortunes mining gold.Ī man named Billy Merrell happened to own some of the land where the gold was discovered. ![]() In 1848, gold was discovered at Sutter’s Mill in California.
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