Welcome
MM255 – Business Math
Seminar 1
Nand Arora
Instructor
Welcome
• On behalf of Kaplan University I would like to
welcome each and every one of you to my
class Business Math (MM255)
• Please do not hesitate to ask questions. I am
here to help.
Instructor Information
• Email: narora@kaplan.edu
• AIM: nandarora
• Office Hours: By appointment only
Expectations
• Please carefully review your syllabus for
detailed instructions and expectations.
• There is no textbook for this course however
PDF files of each chapter are posted under
“reading”.
• Please print each file, carefully read before
completing your assignment.
• Please email your questions in a timely
manner.
Discussions
• The Discussion Board Requirement:
• Students are to post a minimum of three posts
per Discussion Board Question. One initial
response and two replies to their classmates
• Posting on a minimum of three different days,
for example: Wednesday, Friday and Monday
• The first post must be made by Saturday.
Discussions
• Questions should be answered under their
own tab.
• Please be sure to answer all questions in detail
• Your commitment is necessary to receive full
grade.
• Do not take short cuts.
• Late posts are not permitted under any
circumstances.
• Please plan ahead
MML Homework
• All “assignments” must be taken in a timely
manner.
• Can be taken multiple times
• No time limit during the week they are due.
• Dates are set by Kaplan University.
Instructor Graded Assignments
• Located under “Doc sharing” “instructor graded
assignments” tab.
• All assignments must be turned in the “drop box” only.
• Assignments are not accepted via email.
• Late assignments are subject to late penalty.
• Late assignments will be marked down one letter grade
for each unit the assignment is late. (10% per unit).
• No work will be accepted more than three units after
the due date.
Flex Seminars
• All times are EST.
• Seminars are worth 5 points. Must attend the whole
seminar and participate actively to receive credit.
• Students are strongly encouraged to attend all
seminars.
• This is the best time to ask questions from your
assignments.
• You are free to choose any or all of the available
seminars. See syllabus for available seminars.
• Or you may select Seminar Option 2 – complete the
MML Quiz instead to receive credit.
Seminar Rules and Structure
• Usual format of seminar will involve discussion of a
concept and then responding to questions I post on
the concept.
• Have your unit
• It is important that you try to participate rather than
simply watch. This will not be a lecture, but more
like a problem-solving session.
• Come to seminar prepared! Be ready to ask
questions, do the problems, and answer questions
that your classmates ask.
Seminar Etiquette
• The same behavior rules apply for our
seminars as you would have in a face-to-face
class. Once class starts, you wouldn’t carry on
a conversation with your neighbor.
• If you arrive late (or leave early) YOU DO NOT
NEED TO ANNOUNCE IT TO EVERYONE. Just
go about your business and don’t disrupt the
seminar.
Grading
• I usually grade all your assignments only once
a week on Fridays after the unit closes but no
later than Sunday.
Late Policy
• Please note that I will not accept any late
“discussions” or “MML Homework” under any
circumstances.
• I will however, accept late “assignments”
listed under assignments, subject to late
penalties of 10% each week up to maximum
three weeks late.
Available Resources
•
•
•
•
•
•
MyMathLab – “Ask my Instructor”
Kaplan Math Center – live tutors & seminars
Discussion Boards – ask for help
Seminar discussions
Internet resources
Online Textbook (Use
“Ungraded Tutorials/Multimedia Textbook”)
• Study Buddy (exchange e-mails)
Welcome to MM255!
Unit 1 Seminar
Instructor <<Nand Arora>>
<<narora@kaplan.edu>>
Seminar Outline
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•
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Instructor Information and Style
Seminar Rules, Structure, & Etiquette
Your Seminar Options for Grading
Discussion Board
Assignments
Student Resources
Review of Math Concepts
Unit 1 Completed Work Checklist
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Seminar Rules, Structure, Etiquette
•
Usual format of seminar will involve discussion of a concept and then
responding to questions I post on the concept. Have your textbook handy!!
•
It is important that you try to participate rather than simply watch. This will
not be a lecture, but more like a problem-solving session.
•
Come to seminar prepared! Be ready to ask questions, do the problems,
and answer questions that your classmates ask.
•
The same behavior rules apply for our seminars as you would have in a faceto-face class. Once class starts, you wouldn’t carry on a conversation with
your neighbor.
•
If you arrive late or need to leave early, you DO NOT need to announce it.
Just go about your business and don’t disrupt the seminar.
17
Flexible Seminars
Seminars are graded for 5 points towards your grade.
Seminar Option 1 –
You are free to choose any or all of the available seminars. Available
seminars:
Course
#
Section
Course
Seminar Day & Time
New seminar time
Instructor
MM255
03
Business Mathematics
NWS
Wednesday,8:00PM
Disli , Andrei
MM255
04
Business Mathematics
NWS
Sunday, 7:00PM
Arora , Nand
MM255
06
Business Mathematics
NWS
Thursday, 9:00PM
Myers, Alan
MM255
11
Business Mathematics
NWS
Thursday, 10:00PM
Vickerie, Maxim
Seminar Option 2 –
Complete the MML Quiz.
– Under the Unit # click the “Seminar” link to start the quiz.
– You have 1 hour to complete the 5 question quiz and you can only take
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it once.
Discussion Board (25 pts each unit)
• Participation in discussion is required. You are expected to contribute to
ONE of the Discussion Questions in each unit. You should read all
responses of other students and add two of your own responses in
addition to the initial post.
• To be clear: Students are to post a minimum of three posts per discussion
question. One initial response and two replies to classmates.
• The first post must be made by Saturday, midnight.
• During discussions, you must demonstrate not only that you understand
the subject matter but also that you can apply what you have learned,
analyze it, integrate it with knowledge you already have, and evaluate it
critically. Your postings should be appropriate and timely contributions
that add value to the discussion.
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Assignments
•
MML: My Math Lab (30 points each unit)
– No time limit to complete.
– You can submit multiple times up until Tuesdays at Midnight
– Be sure to click “Save” once you complete the assignment.
– It is good practice to check that your grade is in the MM255 grade book. If
it is not you have two options.
1. Reenter the assignments and click Save again.
2. Notify me via email and I can post the grade over.
•
Instructor Graded Assignments (45 points each unit)
– See the announcement titled “Where are the Instructor Graded Projects”
– Download the assignment from Doc Sharing and submit prior to Tuesday
at midnight. Word or excel is accepted.
– Email me IN ADVANCE if you need extra time.
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Available Resources
•
•
•
•
•
•
(MML) MyMathLab – “Ask my Instructor”
Kaplan Math Center – live tutors & seminars
Discussion Boards – ask for help
Seminar discussions
Internet resources
Online Textbook (Use “Ungraded Tutorials/Multimedia
Textbook”)
• Study Buddy (exchange e-mails)
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Questions before we start a review of
math concepts….
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Addition of Real Numbers
• Same Sign Rule: if you are adding two terms of the same sign both positive or both negative - then add the values and keep
the sign. For example:
4 + 6 = 10
12 + 3 = 15
-3 + (-8) = -11
-2 + (-5) = -7
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What about fractions?
For fractions and mixed numbers, you must have
a common denominator before you perform
the operation. Unless told otherwise, always
reduce fraction answers to lowest terms. For
decimal numbers, line up the decimal points.
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Practice Problems
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1/5 + 3/5 = 4/5
-2/3 + (-4/3) = -6/3 = -2
½ + 2/5 = 5/10 + 4/10 = 9/10
-3/4 + (-1/3) = -9/12 + (-4/12) = -13/12
-3.4 + (-2.25) = -5.65
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Addition – Different Signs
• Different Signs Rule: if you are adding two terms that
have different signs - one term is positive and the
other is negative - then subtract the smaller from the
larger, and take the sign of the larger number.
3 + (-4) = -1
6/7 + (-2/7) = 4/7
-7 + 9 = 2
-11/12 + 8/9 = -33/36 + 32/36 = -1/36
5.4 + (-1.111) = 4.289
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Addition – Multiple Terms
1 + (-2) + 3 + (-4) + 5 + (-6)
• Starting at the left, add the first pair of numbers using the
appropriate sign rule, take that answer and add it to the next
number using the appropriate sign rule, and so on until
you’re done.
• Note: This only works if ALL operations are ADDITION.
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Practice Problem
•
•
•
•
•
•
1 + (-2) + 3 + (-4) + 5 + (-6)
= -1 + 3 + (-4) + 5 + (-6)
= 2 + (-4) + 5 + (-6)
= -2 + 5 + (-6)
= 3 + (-6)
= -3
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Subtraction of Real Numbers
• Subtraction is really an addition of a negative
quantity.
4 - 9 = 4 + (-9)
(I don’t really need to use the parentheses
here, but it helps sometimes.)
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Practice Problems
a.) 5 - 15
d.) -5 – (-5)
b.) -3 – 7
e.) 1/6 - 3/10
c.) -12 - (-14)
f.) -12.1 - 6.78
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Practice Problem Answers
a.) - 10
d.) 0
b.) -10
e.) 5/30 – 9/30 =
-4/30
c.) 2
f.) -18.88
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5 * 7 = 5(7) = (5)(7) = 5·7
Note: 5x7 is also correct, but since x is
frequently used as a variable, it is
better to use another notation.
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31 3
  
42 8
3
3  8  24 12
2
8       2
10
10  1  10 5
5
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Mixed fractions
1  10  7  10  70 35
3    

2 4  2 4  8
4
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Multiplication of Decimals
 0.003 0.5
 0.0015
• Multiply 3 times 5 = 15
• Figure out how many total places there are to
the right of the decimal in the two factors.
(3 in 0.003 ) + (1 in 0.5) = (4 places)
• Add zeros as place-holders in product.
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Look at this example.
3.45 x 4.082 =
• How many places are there to the right of the
decimal point?
• Five; so, the answer will have five places to the right
of the decimal.
• The answer is 14.08290
• The last zero can be dropped and the answer would
be 14.0829.
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Division
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16  3  16 / 3 
 3 16
3
• Notation for division may vary.
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Division of fractions
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16  2  32
 (1/ 2)    
3
3 1 3
Dividing fractions: rewrite the division as the
first (as is) times the reciprocal of the second
(flip it over). Then follow the steps for fraction
multiplication.
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What about the signs?
Sign rules for multiplication & division:
• Two positives = positive
• Two negatives = positive
• One of each sign = negative
• In general, perform your multiplication and division
normally, and just remember to put on the correct
final sign (positives being invisible, of course).
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Practice Problems
a.) 3 * (-2)
d.) 57/(-19)
b.) (-9)/(-3)
e.) (-12.3)/(-3)
c.) (-1/2)*(1/3)
f.) 3/0
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Practice Problem Answers
a.) - 6
d.) -3
b.) 3
e.) 4.1
c.) -1/6
f.) Cannot divide by 0.
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Review of Unit 1 Work
By Tuesday at Midnight you
must complete:
– Introduce yourself
– An initial post to one
discussion question
– Two responses to other
student posts to
discussion questions
– MML assignment
– Instructor graded
assignment
– Seminar 1 quiz if you did
not attend a seminar
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