Questions: Mr. Harvey wants to explore the concept of limits with his middle school math class. Which of the following would be an appropriate way to introduce limits to his students? A Have students write a story to depict what is happening in a distance versus time graph. B Have students explore the area of regular polygons while increasing the number of sides and compare their findings to the area of a circle.

Solution Steps

The question asks for an appropriate way to introduce the concept of limits to middle school students. We need to evaluate each option and determine which one best introduces the concept of limits.

Option A suggests having students write a story to depict what is happening in a distance versus time graph. This option focuses more on interpreting graphs and storytelling rather than directly introducing the concept of limits.

Option B suggests having students explore the area of regular polygons while increasing the number of sides and compare their findings to the area of a circle. This option introduces the idea of approaching a limit, as the area of the polygons approaches the area of the circle as the number of sides increases.

Option C suggests having students find the rate of change for different intervals on a velocity versus time graph. This option is more related to the concept of derivatives rather than limits.

Option D suggests having students calculate the upper and lower bound of the area of an irregular shape printed on different sized grid paper. This option introduces the concept of approximation but does not directly address the idea of limits.

Final Answer