1.1+Staking+a+Claim

Big Idea : Quadratic functions can help us describe situations in the real world. Essential Question : What does a quadratic function look like in a situation, table, graph, or equation?

Notes

Problem 1.1 A. Sketch several rectangles with a perimeter of 20 meters. Include some with small areas and some with large areas. Label the dimensions of each square. B. Make a table showing the length of a side and the area for each rectangle with a perimeter of 20 meters and whole-number side lengths. C. Make a graph of your (length of a side, area) data. Describe the shape of the graph. D. If you want to enclose the greatest area possible with your fencing, what should the dimensions of your fence be? How can you use your graph to justify your answer?

Follow-up 1.Suppose the dimensions of the rectangle were not restricted to whole numbers. Would this change your answer to part D? Explain. 2. Suppose the shape of a claim were not restricted to a rectangle. How could you arrange your 20 meters of fencing to enclose a greater area?