The Indian "rule of three" and "rule of odd numbers" is an example of what might be called algebra by rote: an algorithm, presented without explanation of why it works, used to solve a specific type of problem. This assignment asks you to consider the merits of teaching algebra this way. In the following space, write a narrative describing the type of mathematics an ordinary person would encounter in an ordinary day. Your narrative should include three different types of math problems they might encounter that are not basic arithmetic. A bad example: Joe got up this morning and had to solve a quadratic equation in order to eat breakfast. (An ordinary person is extremely unlikely to be in this situation!) The start of a better example: Joe got up this morning and realized he had $20 to get him through the rest of the week, during the course of which he had to... Consider the math problems beyond basic arithmetic that an ordinary person might encounter. How relevant is the rule of three to these problems? You should provide examples of common situations where the rule of three applies; and common situations where the rule of three is not applicable; then consider whether the "rule of three" is sufficient for most problems encountered by ordinary people in their daily lives. Consider the following student complaints: "When I am ever going to use this stuff?" Respond. (Your response should be more than "It's on the test". Identify a plausible reason why, for example, students should learn how to solve systems or equations or other mathematical topic)