Part 1: Within our library, on the main screen under the title Center for Mathematics Excellence, access ‘Building Math Confidence’, scroll down, under the category of ‘Overcome Math Anxiety’ access ‘learn more’. Then, take the ‘Anxiety Quiz’. Discuss your findings
Part 2: Imagine your younger relative—of middle school age—was taking an algebra course and asked for your help. How would you teach the multiplication of polynomials to him/her?
Attend one or more of the following:
o Adaptive Math Practice Live Lab
o Adaptive Math Practice Live Event
o CME Overview Live Event
o Live Math Tutoring
Describe your experiences. What did you learn? What other available resources will help you do well in this course? How will you use them to be successful?
Part 1: Experience a Live Math Tutoring session by clicking the Live Math Tutoring link (under Useful Links on the Materials tab). Ask the tutor to assist you with a Week One problem or concept. Post the problem or concept a tutor helped you with, the date and time of the tutoring session, and how valuable you think having live tutors with 24/7 availability will be for your success in this course. Please also share which whiteboard tools you found to be most helpful in your discussions with the tutor.
Part 2: Do you always use the property of distribution when multiplying monomials and polynomials? Explain why or why not. In what situations would distribution become important?
Why is it important to follow the order of operations? What are some possible outcomes when the order of operations is ignored? If you invented a new notation where the order of operations was made clear, what would you do to make it clear?
What are the four steps for solving an equation? Should any other factors be accounted for when solving an equation? Should any factors be accounted for when explaining how to solve an equation? Explain your answer.
What resources are available to help you do well in this course? Which resources do you think will help you the most? Why? How do you plan to use the resources available to optimize your learning over the next four weeks?
Can a linear equation and a linear inequality be solved in the same way? Explain why. What makes them different?
What are the four steps for solving a problem? Should any other factors be accounted for when solving a problem? Should any factors be accounted for when explaining how to solve a problem? Explain your answer.
What are the differences among expressions, equations, and functions? Provide examples of each.
Imagine that a line on a Cartesian graph is approximately the distance y in feet a person walks in x hours. What does the slope of this line represent? How is this graph useful? Provide another example for your colleagues to explain.
Explain the concept of modeling. How does a model describe known data and predict future data? How do models break down? Can you think of an example?
What is the difference between a scatter-plot and a line graph? Provide an example of each. Does one seem better than the other? In what ways is it better?
If a line has no y-intercept, what can you say about the line? What if a line has no x-intercept? Think of a real-life situation where a graph would have no x- or y-intercept. Will what you say about the line always be true in that situation?
How do you write a system of linear equations in two variables? Explain this in words and by using mathematical notation in an equation
How many solution sets do systems of linear inequalities have? Do solutions to systems of linear inequalities need to satisfy both inequalities? In what case might they not?
What are two symbolic techniques used to solve linear equations? Which do you feel is better? Explain why.
Do the equations x = 4y + 1 and x = 4y – 1 have the same solution? How might you explain your answer to someone who has not learned algebra?
What are the practical usages of scientific notation? Why is scientific notation so important in our modern day society?
Provide one real-world example of when graphing could be useful. Do you think you would ever use graphing in your life to solve problems? Explain why or why not.
What is the difference between a variable, a constant and a coefficient? Please give a single example which illustrates all 3 concepts and explain which is which.