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Essential Objectives

Course Syllabus

Revision Date: 22-Jan-23

Spring 2023 | MAT-1030-VJ01 - Applied Math Concepts

In Person Class

Standard courses meet in person at CCV centers, typically once each week for the duration of the semester.

Location: Upper Valley
Credits: 3 (45 hours)
Day/Times: Wednesday, 03:00P - 05:40P
Semester Dates: 01-25-2023 to 05-03-2023
Last day to drop without a grade: 02-12-2023 - Refund Policy
Last day to withdraw (W grade): 03-26-2023 - Refund Policy
This course has started, please contact the offering academic center about registration


Sylvia Puglisi
View Faculty Credentials
View Faculty Statement
Hiring Coordinator for this course: Debra Grant

General Education Requirements

This section meets the following VSC General Education Requirement(s) for Catalog Year 21-22 and later:
  1. Many degree programs have specific general education recommendations. In order to avoid taking unnecessary classes, please consult with additional resources like your program evaluation, your academic program catalog year page, and your academic advisor.
  2. Courses may only be used to meet one General Education Requirement.

Course Description

This course develops students’ ability to think quantitatively and use mathematics as a problem-solving tool in their professional and personal lives. Mathematical applications are selected from a range of business, human services, health, and political topics. Concepts include: set theory, visual representation of data, operations in the real number system, geometry, linear and nonlinear equations, linear systems, personal finance, probability, and statistics. Students must take a math assessment for placement purposes prior to registration. Prerequisite: Math & Algebra for College or equivalent skills.

Essential Objectives

1. Apply basic concepts of set theory and use Venn diagrams to solve problems related to surveys and probabilities.
2. Utilize real number system operations (fractions, decimals, percentages, ratios, proportions, and unit conversions) in the interpretation and analysis of problems from a variety of fields.
3. Analyze and interpret linear and nonlinear relationships using graphs and equations, and apply algebraic techniques and models to a variety of problems.
4. Apply geometric concepts including angles, areas, volumes, and the Pythagorean Theorem.
5. Examine and apply the concepts of probabilities using a variety of methods including counting techniques, frequency tables, probability distributions, pie charts, and graphs.
6. Apply basic statistics, using sampling, tables, charts, graphs, means, standard deviation and normal distribution, to interpret and draw conclusions from data.
7. Compute and analyze the impacts of simple and compound interest, and analyze finance applications related to savings, taxes, discounts, loans, and purchases.
8. Select and perform appropriate procedures to solve mathematical problems arising in various disciplines, and demonstrate proficiency in interpreting, evaluating and presenting quantitative data and information.
9. Demonstrate proficiency on the quantitative reasoning graduation assessment.
10. Apply mathematical reasoning to analyze social justice problems in a variety of different contexts and consider whether these approaches are just and equitable.

Required Technology

More information on general computer and internet recommendations is available on the CCV IT Support page. https://support.ccv.edu/general/computer-recommendations/

Please see CCV's Digital Equity Statement (pg. 45) to learn more about CCV's commitment to supporting all students access the technology they need to successfully finish their courses.

Required Textbooks and Resources

This course only uses free Open Educational Resources (OER) and/or library materials. For details, see the Canvas Site for this class.


Our in-person class meetings will involve direct instruction (i.e. "lecture" and examples), group activities, individual problem-solving, and participatory discussion. Expect each week to try many problems of varying levels of difficulty, and challenge your brain!

Our Canvas course will involve:

  • resources and posts to help support in-class learning
  • submitted assignments, and
  • Canvas quizzes

to help you master the material. You may complete these asynchronous assignments at times convenient to you, in accordance with their due dates.

Evaluation Criteria

Evaluated assignments use a weighted grading system and include:

  • (30% of grade) Home Practice.
    • These assignments help you solidify core ideas from the course, using online learning tools and whatever math practice strategies are most effective for you
  • (30% of grade) In-Class Problem-Solving
    • Most students attend class, work on problems, and ask questions
    • If you are absent, credit or partial credit may be obtained via completing the uploaded pages
  • (30% of grade) QRA Practice Exams:
    • Scored immediately on Canvas. (The initial "diagnostic" exam is scored based on participation only.
  • (10% of grade ) Final QRA & Self-Reflection:
    • The QRA is taken during the last week of the course as a summative assessment.
    • In preparation, students perform a self-reflection and study assignment for which you are graded on your demonstrated mastery of mathematical concepts over the class course.

Grading Criteria

CCV Letter Grades as outlined in the Evaluation System Policy are assigned according to the following chart:

A Less than 9893
A-Less than 9390
B+Less than 9088
B Less than 8883
B-Less than 8380
C+Less than 8078
C Less than 7873
C-Less than 7370
D+Less than 7068
D Less than 6863
D-Less than 6360
FLess than 60 
NPLess than 600

Weekly Schedule

Week/ModuleTopic  Readings  Assignments


Estimation, Whole Number Arithmetic, and Course Introduction

  • Lippman 1.1 Place Value, Rounding, Comparing Whole Numbers
  • Lippman 1.2 Adding and Subtracting Whole Numbers, Perimeter of Polygons
  • Lippman 1.3 Multiplication of Whole Numbers, Area of Rectangular Figures
  • Lippman 1.4 Dividing Whole Numbers, Remainders
  • Lippman 1.7 Areas and Perimeters of Quadrilaterals

Almost all course readings are found in Arithmetic for College Students by David Lippman, which can be downloaded online here in PDF form: http://www.opentextbookstore.com/arithmetic/book.pdf


Sign up for Khan Academy

Take Course Introduction survey



Advanced Arithmetic and Quantitative Reasoning


Lippman 1.5 Exponents, Roots, and Order of Operations

Lippman 1.6 Graphing Data, Measures of Center

Lippman 1.8 Properties and Laws of Whole Numbers, The Distributive Property


Take QRA Diagnostic (33-questions, graded for completion)



Fractions, Factors, and Primes

  • Lippman 2.1 Introduction to Fractions and Mixed Numbers, Proper and Improper Fractions
  • Lippman 2.2 Factors and Primes, Comparing Fractions
  • Lippman 2.3 Multiplying Fractions & Mixed Numbers, Areas of Triangles
  • Lippman 2.4 Dividing Fractions and Mixed Numbers
  • Lippman 2.5 Adding and Subtracting Fractions and Mixed Numbers with Like Denominators

In-Class Problem-Solving
Home Math Practice (Khan or Alternate assignments)



Fractions, Multiples, and Decimals

  • Lippman 2.6 Adding and Subtracting Fractions and Mixed Numbers with Unlike Denominators, LCM, LCD
  • Lippman 3.1 Decimals and Fractions
  • Lippman 3.2 Ordering and Rounding Decimals, Adding and Subtracting Decimals
  • Lippman 3.3 Multiplying Decimals, Circumference and Area of Circles, Dividing Decimals, Estimation with Decimals

In-Class Problem Solving

Home Practice Problems



Percents and Percent Applications

  • Lippman 3.4 Convert Percents, Decimals, and Fractions, Finding a Percent of a Whole,
  • Lippman 3.5 Solving Percent Problems
  • Lippman 3.6 Solving Percent Applications
  • Lippman 3.6 Circle Graphs (pie charts)

In-Class Problem-Solving

Home Practice Problems



Review: Practical Arithmetic


Selected readings from weeks 1-5 will be reviewed. Students will be encouraged to choose an application in the Lippman text that they find interesting or practical, and show their proficiency with arithmetic through that venue. Choices include but are not limited to:

  • Lippman MiS -- Voting Theory (useful for citizens and politicians)
  • Lippman MiS -- Graph Theory (useful for programmers or project managers)
  • Lippman MiS -- Finance (useful for accountants and investors)
  • Lippman MiS -- Growth Models (useful for biologists and epidemiologists)
  • Lippman MiS -- Cryptography (useful for coders, and computer scientists)

In-Class Problem-Solving

Home Practice Problems



Ratios, Rates, and Proportions

  • Lippman 4.1 Ratios and Rates

  • Lippman 4.2 Proportions


In-Class Problem Solving

Home Math Practice



Units, Scale, and Volume

  • Lippman 4.3 Volumes
  • Lippman 4.4 U.S. Measurement - Length, Weight, Capacity (volume)
  • Lippman 4.5 The Metric System, Metric Conversions
  • Lippman 4.6 Temperature Scales

In-Class Problem-Solving
Home Math Practice



Integers, Rational, and Real Numbers

  • Lippman 5.1 Integers, Rational and Real Numbers
  • Lippman 5.2 Adding Integers, Adding Real Numbers, Subtracting Real Numbers
  • Lippman 5.3 Multiplying and Dividing Real Numbers
  • Lippman 5.4 Order of Operations with Real Numbers

In-Class Problem-Solving

Home Math Practice



Review: Problem-Solving with Geometry


Selected readings from weeks 7, 8, and 9 will be reviewed.

Extra reading that reviews the same essential material can be found here in:

Lesson 10 -- Geometry I (Perimeter and Area)
Lesson 11 -- Geometry II (Volume and Triangles)


In-Class Problem-Solving

Home Math Practice



Variables, Expressions, and Algebraic Methods

  • Lippman 5.5 Variables and Expressions, Associative, Commutative, and Distributive Properties
  • Lippman MiS 1 Problem-Solving

In-Class Problem-Solving

Home Math Practice



Venn Diagrams, Probability, and Counting

  • Lippman MiS 13 Sets (or Lee 1.2 Sets and Venn Diagrams)
  • Lippman MiS 12 Probability (or Lee Ch 4 - Probability)

The Lippman text is online-accessible here:https://www.opentextbookstore.com/mathinsociety/

The Lee text is online-accessible here:https://spot.pcc.edu/math/mathinsociety/frontmatter.html

and yes, confusingly, they both have the same name.


In-Class Problem-Solving

Home Math Practice



Statistics, Data, and Standard Deviation

  • Lippman MiS 11 Describing Data Sets (or Lee Ch 3 - Statistics)
  • Lippman MiS 10 Statistics (or Lee Ch 3 - Statistics)

The Lippman text is online-accessible here:https://www.opentextbookstore.com/mathinsociety/

The Lee text is online-accessible here:https://spot.pcc.edu/math/mathinsociety/frontmatter.html

and yes, confusingly, they both have the same name.


In-Class Problem-Solving
Home Math Practice



Final Review and QRA Preview


ACT Workkeys Practice Test Materials (https://www.act.org/content/act/en/products-and-services/workkeys-for-job-seekers/preparation.html)


Level 5 Long Practice or Level 6/7 Short Practice



QRA Exam -- Taken in-class




Self-Reflection / Final Project


Attendance Policy

Regular attendance and participation in classes are essential for success in and are completion requirements for courses at CCV. A student's failure to meet attendance requirements as specified in course descriptions will normally result in a non-satisfactory grade.

  • In general, missing more than 20% of a course due to absences, lateness or early departures may jeopardize a student's ability to earn a satisfactory final grade.
  • Attending an on-ground or synchronous course means a student appeared in the live classroom for at least a meaningful portion of a given class meeting. Attending an online course means a student posted a discussion forum response, completed a quiz or attempted some other academically required activity. Simply viewing a course item or module does not count as attendance.
  • Meeting the minimum attendance requirement for a course does not mean a student has satisfied the academic requirements for participation, which require students to go above and beyond simply attending a portion of the class. Faculty members will individually determine what constitutes participation in each course they teach and explain in their course descriptions how participation factors into a student's final grade.

Participation Expectations

Regular attendance and participation in classes are essential components of a student’s success in this course, as accords with CCV’s schoolwide attendance policy.

For participation credit, you must attend, and also demonstrate engagement during the class meeting (completing the assignment, problem-solving with your peers, asking questions, taking notes, or other activities -- depending on how you learn!) This participation will be graded weekly on "Discussion" assignments: no posting is required, they are a place for me to grade your in-class work.

In addition to class meetings, this course requires independent work through Canvas on your own time (“asynchronous” work). Expect between 45min-3hr of this independent work per week, depending on your experience with the material & your individual work speed.

Missing & Late Work Policy

All assignments in this course will have provided “due dates” to ensure they show up on your student schedule at the optimum time. For most individual assignments ‘late’ work is accepted, while synchronous and group work has hard deadlines. Specifically:

  • Missed exams must be rescheduled individually. Any scheduled exam should be taken on the indicated day/time; a score of 0 is recorded for a missed exam. If you do miss an exam, or know that taking one in the future impossible, please email or Canvas message as soon as you can. I can schedule yours separately — but I need to ensure that I can release exam grades ASAP for other students. Just reach out!
  • In-class problem-solving work may be made up with an alternative assignment. Please complete the posted work pages for any class you missed -- this may require doing some extra reading or research on your own. There is no late penalty, but I recommend completing it before the next class session if possible.

  • Home math practice may be submitted and resubmitted any time. These are learning assignments, for which there is no late penalty. If submitted by the due date, I can ensure prompt grading and feedback a week from that date; submitted earlier or later, my grading speed might vary! Please consider reattempting them to attain the best score you can and show mastery.

Accessibility Services for Students with Disabilities:

CCV strives to mitigate barriers to course access for students with documented disabilities. To request accommodations, please
  1. Provide disability documentation to the Accessibility Coordinator at your academic center. https://ccv.edu/discover-resources/students-with-disabilities/
  2. Request an appointment to meet with accessibility coordinator to discuss your request and create an accommodation plan.
  3. Once created, students will share the accommodation plan with faculty. Please note, faculty cannot make disability accommodations outside of this process.

Academic Integrity

CCV has a commitment to honesty and excellence in academic work and expects the same from all students. Academic dishonesty, or cheating, can occur whenever you present -as your own work- something that you did not do. You can also be guilty of cheating if you help someone else cheat. Being unaware of what constitutes academic dishonesty (such as knowing what plagiarism is) does not absolve a student of the responsibility to be honest in his/her academic work. Academic dishonesty is taken very seriously and may lead to dismissal from the College.