How do you factor the difference of two squares? How do you factor the perfect square trinomial? How do you factor the sum and difference of two cubes? Which of these three makes the most sense to you? Explain why.
What one area from the readings in Week Two are you most comfortable with? Why do you think that is? Using what you know about this area, create a discussion question that would trigger a discussion—that is, so there is no single correct answer to the question.
Explain the five steps for solving rational equations. Can any of these steps be eliminated? Can the order of these steps be changed? Would you add any steps to make rational equations easier to complete or understand?
Explain the four steps for solving quadratic equations. Can any of these steps be eliminated? Can the order of these steps be changed? Would you add any steps to make solving quadratic equations easier or easier to understand?
Is the compound interest formula—such as would be used to calculate a car loan—an example of a function? If yes, of what type of function is it an example? Why might you identify it with that type of function?
How do you think you will use the information you learned in this course in the future? Which concepts will be most important to you? Explain why. Which do you anticipate will be the least important? Explain why.
Can you think of one real-world example of when the concept of functions might be useful? Do you think you will ever use functions in your life to solve problems? If yes, explain how and why; if no, explain why not.