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2024-25

Essential Objectives

Course Syllabus


Revision Date: 13-Nov-23
 

Spring 2024 | MAT-1030-VO02 - Applied Math Concepts


Online Class

Online courses take place 100% online via Canvas, without required in-person or Zoom meetings.

Location: Online
Credits: 3 (45 hours)
Day/Times: Meets online
Semester Dates: 01-23-2024 to 05-06-2024
Last day to drop without a grade: 02-11-2024 - Refund Policy
Last day to withdraw (W grade): 03-24-2024 - Refund Policy
This course has started, please contact the offering academic center about registration

Faculty

Todd Darrow
View Faculty Credentials

Hiring Coordinator for this course: Julie Dalley

General Education Requirements


This section meets the following CCV General Education Requirement(s) for the current catalog year:
VSCS Mathematics
    Note
  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, written summaries, 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 quantitative 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 is a no cost textbook or resource class. ***

MAT-1030-VO02 Link to Textbooks/Resources Information for this course in eCampus.

The last day to use a Financial Aid Advance to purchase textbooks/books is the 3rd Tuesday of the semester. See your financial aid counselor at your academic center if you have any questions.


Methods

Online Tools:If you are worried about taking a math course you can relax. This will not be your typical math class. I have built this course to support all types of learners. You will not be left to learn math on your own independently! I will be providing video lessons you can watch at your convenience, pause, replay, and use to learn at your own speed. The videos will model the types of problems you will be solving. I have adapted my strengths as a teacher in the classroom to include online tools to make sure you have the tools to be successful in math.

My Approach:When Covid hit my learning took a huge curve when we went from in-person math classes to remote classes overnight. Even though I got positive feedback from my students in this transition I consider myself a learner just like you as I grow my skills as a teacher with 28 years of experience. In the classroom I pride my work as a teacher on meeting the needs of my students and adjusting my teaching strategies to best support them. We aren't in person in this class, but I hope you find that my online course provides a similar level of support for your learning this semester. You will have opportunities to learn at your own pace each week with lessons I teach via videos you get each week to support your learning. It is important that you have the opportunity to get support when you are feeling stuck or lost. Sending me an image of the problem you are stuck on via Canvas Inbox works really well as I can send you some thoughts or notes to help you get unstuck. Therefore we will use multiple strategies to help you do your best this semester.

Understanding Applied Math Concepts:This course will focus on introducing you to multiple strands of mathematics and solving problems in those strands (Algebra, Geometry, Statistics, etc.). The term "Applied" infers the application of concepts to solve meaningful problems. Good and meaningful problems sometimes take several attempts to solve. Failure to solve a problem the first time is not a failure. Quitting after the first failed attempt is unfortunate and robs you of learning. Persevere and keep trying. I encourage revision of work, until you are happy with the outcome and grade, ultimately. Students who are most successful in this course often retake quizzes and revise problem sets, after I have provided feedback. You are not required to revise or redo work, typically. But don't be shy in taking the opportunity to revise and redo!!!

Active Math Learner:Whether you love math or have math anxiety, the best way to tackle math is be an active learner. To be active means, but is not limited to:

  • Asking questions and participating in weekly discussions.
  • Checking your understanding by sending an Inbox message to me: "Todd do I understand this correctly..."
  • Responding to questions and reflections about your current learning.
  • Work with other students via discussions boards.
  • Inboxing your instructor with questions or reach out to a fellow student.
  • Access MyTutor or the CCV Learning Center if you need some extra support.
  • Revising work or looking for other ways to solve problems.
  • Being open minded and challenging yourself to think, accept challenges as opportunities to learn, and not as opportunities to reinforce a negative perception of your math abilities.

Grading Weights and Assignment Types:Below is how I weight different parts of your grade:

  • Exams (2 exams) = 45%
  • Project = 15%
  • Quizzes (4 quizzes) = 25%
  • Homework (weekly) and Discussion Boards= 15%

Quizzes and homework assignments can be resubmitted to improve your grade. So if you get a quiz back with a 75% and you want to improve, retake it from home, and resubmit a new copy. I will regrade it and revise your grade if you improve.

You will have two exams. A midterm and final exam. If your final exam grade is higher than your midterm grade I will replace your midterm grade with your final exam grade.

Discussion Boards: Some discussion boards are already loaded in the modules of the course. However, I do some other discussion boards through the semester based on student needs and patterns I am seeing in homework and quiz submissions. If everyone is missing a common concept, I might use a discussion board to present a new idea for folks to try and then discuss with your peers.

Technology Requirement:This course will have digital homework packets each week. You will need a printer or way to write on these digital documents. Most students just print the documents, write on them, and then scan them into a PDF for submitting to CANVAS. Other options are using an IPAD with stylus or Apple Pen to write directly on the digital docs. Smartphones can be used to scan documents as well. Some students type their work out on the documents as well with their computers. This is probably the most time consuming option. Either way, make a plan or contact me about strategies for managing math work online. The more work you show me, the more feedback I can provide on what you are doing correctly and errors you might be making. It's all about helping you to be more successful learning the math this semester!


Grading Criteria

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

 HighLow
A+10098
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 
P10060
NPLess than 600


Weekly Schedule


Week/ModuleTopic  Readings  Assignments
 

1

Introduction Week 1: This week you will complete a pre-assessment for the Quantitative Reasoning Assessment that will need to be completed later in the semester. You will also have your first assignment that focuses on visual geometric sequences. The focus of this assignment is to see how the shape grows from one figure to the next. Different thinkers might see it differently.

    

Complete the pre-assessment for the QRA, your first homework assignment looking at visual geometric sequences, and respond to the first discussion board.

 

2

Week 2 Visual Patterns, Equations, and Graphs: In this week we will extend your work with visual geometric sequences. We will be creating a table, graphing, and finding equations for each sequence. You will do this by looking for visual patterns of change in the sequence from one figure to the next. Using coloring and diagramming in the figure is really helpful to finding patterns.

  

Each week I provide videos to help you with the content.

  

Complete a homework packet, make it into a pdf, and submit it via Canvas.

 

3

Week 3 Linear and Non-Linear Relationships:In week 3 we will analyze linear and non-linear relationships. You will make a table, graph, and write equations for situations with a fixed rate of change (i.e. buying gas or meat at the deli). Second you will look at non-linear relationships and make tables, graph, and explore substituting values into an equation for situations with changing rates (i.e. throwing a rock off a bridge or a snowball over a barn). There will be a fair amount of simplifying equations algebraically in this week, so brush up on your algebra skills.

  

Video lessons on the learning are provided.

  

This week you will have a typical homework packet, a discussion, and your first quiz for visual patterns, tables, equations, and graphs. After I grade your quiz you have the option to redo it if you are not happy with your grade. I give extra opportunities to continue your learning and extend it.

 

4

Week 4 Area and Perimeter: This week will explore 2-dimensional geometry and finding perimeter and area of quadrilaterals, triangles, and circles. You will explore how a the area of a rectangle develops across parallelograms, trapezoids, triangles, and eventually even circles. You will also take your 2nd quiz of the semester on linear and lon-linear equations. You will also have a discussion this week about your semester math project ideas with classmates.

  

Video lessons on the new content.

  

Typical homework assignment packet, quiz, and a discussion.

 

5

Week 5 Volume and Surface Area: This week we will explore 3-dimensional geometry. You will explore finding the volume and surface area of rectangular and triangular prisms, cylinders, and spheres. This week will require you to think about all the sides of a shape, their dimensions, and what you might not be able to see directly. During week 5 you will also submit a screenshot of your work in the QRA Practice Course found on your Canvas dashboard. There are no quizzes this week...yay!

  

Video lessons of new learning.

  

In this week you will submit a typical homework packet and a screenshot of your QRA Practice course progress.

 

6

Week 6 Midterm Exam: It's hard to believe but in week 6 we are already doing the midterm exam. This an opportunity to show what you have learned so far. However, if you are still learning and the exam does not go well, you have a second chance at the end of the semester to bring this exam grade up. On your final exam you will see content from the whole semester, so if you do better on your final exam I replace your midterm exam grade with the better grade. So relax and just show what you know.

  

No resources this week...just your exam.

  

Open notes exam this week. Calculators are allowed as well.

 

7

Week 7 Triangles, Angles, and Pythagorean Theorem: In this week we focus on finding angles and missing angles in a triangle and outside the triangle. There will be some algebraic manipulation of expressions this week finding angles. We will also explore the pythagorean theorem and use it to solve real world problems. There will also be a quiz this week on volume and surface area.

  

Video lessons on new content.

  

Typical homework packet and a quiz this week.

 

8

Week 8 Rough Draft of Project:This week you will not have any new course learning or videos to watch. This week is devoted to giving you time to get your project rough draft done. Earlier in the semester you will have picked a topic to research related to math. It could be comparing renting a home to buying, comparing leasing a car to buying, Fibonacci Sequence, teaching mathematics to preschoolers, etc.. You should pick a topic that relates to your career path or interests you personally.

  

You will use the internet and other resources to support your project. Some people have reached out to car dealers, banks, or preschool teachers to get information related to their research project.

  

Your project rough draft will be a powerpoint or google slide that you submit as a pdf this week. You will not have to formally present your project to your classmates. I will ask you to share your project rough draft in a discussion this week, so everyone can see what others are working on and get ideas for polishing up their final project.

 

9

Week 9 Systematic Listing, Counting Principle, and Basic Probability: If you have not loved graphs, equations, and geometry so far, this week might be a nice shift for you. We will explore contextual situations and map out lists and use the counting principle to figure out how many outcomes there are in different situations. For example, you go to the creemee stand and they offer 3 different cone types, 50 creemee flavors, and 4 different toppings, so how many different ways can you order an ice cream cone there. We will also use tree diagrams to map out coin and dice tossing. We will also explore something called a product table to map outcomes from a two different events.

  

Video lessons on new content.

  

This is a light week and you will have only a homework packet to complete.

 

10

Week 10 Measures of Center and Box Plots:Congratulations you are 2/3 of the way through the course! Keep up the good work! This week we will explore finding mean, median, 5-number summary, interquartile range, and constructing box-n-whisker plots to model spread in different situations. You will use these tools to analyze whether Maple Street in Morrisville has safe or dangerous traffic patterns between a weekday and weekend day. You will also have your final quiz of the semester this week.

  

Video lessons on new content.

  

This week we will have a typical homework packet and quiz due.

 

11

Week 11 Frequency Tables, Histograms, and Standard Deviation: In this week we will continue to analyze the Maple Street traffic patterns but add some new tools to our analysis tool box. We will learn about frequency tables and use these to construct histograms. This will give us a visual perspective of the speed ranges on Maple Street on the two different days. We will then calculate the Standard Deviation of the speeds on each day to see which day has the most variation and spread.

  

Video lessons of new content.

  

Only a typical homework packet this week.

 

12

Week 12 Percent and Understanding Interest: Yay...you have made it to the last week of new course content. Way to go! This week we will learn about calculating percents and understanding situations with percents. We will extend this to different types of interest: simple interest, compounding interest, and compounding continuously interest. This might be one of the most important content weeks of the semester as much of our financial lives is based on interest whether we are earning it in an investment or blowing lots of money in credit card debt interest.

  

Video lesson on new content.

  

This is a light week as we have only a typical homework packet.

 

13

Week 13 Quantitative Reasoning Assessment Week: This is the week you need to have scheduled a QRA assessment with your local CCV site. Earlier in the semester I will ask you to reach out and schedule your assessment for this week. This is a graduation requirement as well as a requirement of this course. You will need to take the assessment in person at your local site. It is a computer based math test that takes about an hour. The QRA practice course you have been working on during our semester has helped you prepare for this course. You are shooting for a level 5 or above on this assessment.

  

QRA Practice Course work throughout the semester.

  

Submit a copy of your score to the Canvas assignment.

 

14

Week 14 Final Project: This week you will submit your final project. I will create a discussion board for you to share your project with peers. Since we are not in-person to watch presentations of the projects I will ask you to look at 3 projects from your peers and ask them a question about their project. Peers will look at your project and you will get some questions as well to interact with. This might feel stressful, but typically it is very interesting and fun to see what others have done and get questions on your work. So please don't stress out about this. Think of it as a celebration of your work.

    

Submit project via canvas and to the discussion board, and participate on the discussion board.

 

15

Week 15 Final Exam: Hurray!!! You are at the end of the semester and you are one step away from completing an online math course. This week you will focus on completing your final exam. Remember that if your final exam grade is higher than your midterm exam grade that I will replace your midterm exam grade with the final. You can use notes, homeworks, past quizzes, and calculators on this exam. Do your best and show all your work. I give credit for every nugget you show me you know how to do, even if you get an inaccurate answer...I am more focused on your process and thinking. So show your thinking please!

    

Final Exam!!

 

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.

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.