MAT 116 Entire Course Material
MAT 116 Entire Course
Material
MAT 116 Week 1 Discussion Question 1
What is the difference between an
equation and an expression? Include an example of each. Can you solve for a
variable in an expression? Explain your answer. Can you solve for a variable in
an equation? Explain your answer. Write a mathematical phrase or sentence for
your classmates to translate.
Mat 116 Week one DQ 1
What are the steps of the order of
operations? Why is it important that you follow the steps rather than solve the
problem from left to right? Write an expression for your classmates to simplify
using at least three of the following: o Groupings: Parenthesis, brackets, or
braces o Exponents o Multiplication or division o Addition or subtraction
Consider participating in the discussion by simplifying a classmate’s
expression, showing how the expression would be incorrectly simplified if
computed from left to right, or challenging the class with a complicated
expression. Respond to your initial post and provide your classmates with the
answer to your expression.
Mat 116 Week one DQ 2
When simplifying expressions, what
are some common mathematical operations many students find difficult? Please
illustrate by providing an example.
MAT 116 Discussion Question 2
Explain a real-world problem that
you used math to solve. What mathematical expressions did you use in your
problem solving? Define your variables and explain your expression.
MAT 116 Discussion Question 4
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?
MAT 116 Week 1 Discussion Question 5
Why is it important that you follow
the steps rather than solve the problem from left to right?
Write an expression (numbers only) for your classmates to simplify
using at least three of the following:
Groupings (parenthesis,
brackets, or braces)·
Exponents·
Multiplication or
division·
Addition or subtraction·
MAT 116 Discussion Question 7
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 8 weeks?
MAT 116 Discussion Question 8
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.
MAT 116 Discussion Question 10
Post an equation or inequality from
your week 2 readings. Using the four step process of solving equations, explain
how you would solve the equation.
Then post an equation or inequality
for the class to practice.
MAT 116 Discussion Question 13
How do you know if a value is a
solution for an inequality? How is this different from determining if a value
is a solution to an equation?
If you replace the equal sign of an
equation with an inequality sign, is there ever a time when the same value will
be a solution to both the equation and the inequality?
Write an inequality and provide a
value that may or may not be a solution to the inequality.
MAT 116 Discussion Question 14
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?
MAT 116 Discussion Question 15
What is the difference between a
scatter plot and a line graph? What type of information would be better
represented in a line graph?
MAT 116 Discussion Question 16
If a line has no y-intercept,
what can you say about the slope and graph of that line? What if a line has
no x-intercept? What would be the slope of that line, what would
the graph look like?
How would you graph the line y = -1/2x + 2?
MAT 116 Discussion Question 17
Address the following:
What similarities and differences do
you see between functions and linear equations studied in Ch. 3?
Are all linear equations functions? Is
there an instance when a linear equation is not a function? Support your
answer.
Create an equation of a nonlinear
function and provide two inputs for your classmates to evaluate.
MAT 116 Discussion Question 18
What is the difference between
domain and range? Describe a real-life situation that could be modeled by a
function.
Describe the values for x that
may not be appropriate values even when they are defined by your classmates’
function.
MAT 116 Discussion Question 19
Systems of equations can be solved
by graphing or by using substitution or elimination.
What are the pros and cons of each method?
Which method do you like best? Why?
What circumstances would cause you to use a different method?
MAT 116 Discussion Question 20
Post your response to all of the
following:
Review examples 2, 3, and 4 in
section 8.4 of the text.
How does the author determine what
the first equation should be?
What about the second equation?
How are these examples similar? How
are they different?
Find a problem in the text that is
similar to examples 2, 3, and 4
MAT 116 Discussion Question 21
What is the difference between an
equation and an expression? Include an example of each. Can you solve for a
variable in an expression? Explain your answer. Can you solve for a variable in
an equation? Explain your answer. Write a mathematical phrase or sentence for
your classmates to translate.
MAT 116 Discussion Question 22
Why is it important that you follow
the steps rather than solve the problem from left to right? Write an expression
(numbers only) for your classmates to simplify using at least three of the
following:
Groupings: (parenthesis, brackets,
or braces)
Exponents
Multiplication or division
Addition or subtraction
MAT 116 Discussion Question 23
Why does the inequality sign change
when both sides are multiplied or divided by a negative number? Does this
happen with equations? Why or Why not?
Write an inequality for your
classmates to solve. In your inequality, use both the multiplication and
addition properties of inequalities.
MAT 116 Discussion Question 24
How do you know if a value is a
solution for an inequality? How is this different from determining if a value
is a solution to an equation?
If you replace the equal sign of an
equation with an inequality sign, is there ever a time when the same value will
be a solution to both the equation and the inequality?
Write an inequality and provide a
value that may or may not be a solution to the inequality.
MAT 116 Week 2 Appendix C Quiz
MAT 116 Week 2 Assignment
Expressions and Equations Appendix C
MAT 116 Week 4 Assignment Solving
and Graphing Equations Appendix D
MAT 116 Week 5 Discussion Question 1
Imagine that a line on a 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.
MAT 116 Week 5 Discussion Question 1
Address the following:
What similarities and differences do
you see between functions and linear equations studied in Ch. 3?
Are all linear equations functions?
Is there an instance when a linear equation is not a function? Support your
answer.
Create an equation of a nonlinear
function and provide two inputs for your classmates to evaluate.
MAT 116 Week 5 Discussion Question 2
What are the differences among
expressions, equations, and functions? Provide examples of each.
MAT 116 Week 5 Discussion Question 2
What is the difference between
domain and range? Describe a real-life situation that could be modeled by a
function.
MAT 116 Week 6 Assignment Functions
and Their Graphs Appendix E
MAT 116 Week 6 DQ 1
Find a word problem that could be
solved using systems of equations from your readings. Post the problem and
explain how the equations would be written for that problem. Make sure to
establish the variables and explain each equation. For practice during the
discussion you may solve other classmates problems.
An airplane flies 1200 miles into
the wind in 3 hours. The return trip takes 2 hours. Find the speed of the
airplane without a wind and the speed of the wind.
MAT 116 Week 6 DQ 2
What are two symbolic techniques used to solve linear equations? Which do you
feel is better? Explain why.
- Post an example for your class to solve.
MAT 116 Week 7 DQ 1
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?
MAT 116 Week 7 DQ 2
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?
MAT 116 Week 8 Assignment Systems of
Equations and Inequalities Appendix F
Week 9 DQ 1
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.
Week 9 DQ 2
What concept learned in this course
was the easiest for you to grasp? Why do you think it was easy for you? Which
was the hardest? What would have made it easier to learn?
