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Math Models B

Course Description

Math Models with Applications B, is an extension of Math Models A and continues the focus on basic math skills used in everyday life with the goal of developing intelligent consumers. The practical applications of math are studied using real world situations. Personal finances are emphasized through the study of personal earnings, personal taxes, credit, budgeting, and banking decisions. This course also examines the major purchases of homes and automobiles and the costs of insuring each. Investments and life insurance are also discussed as are applications of mathematical concepts in the areas of science, art, architecture and music.

Course Organization

Modules. The Modules are practice assignments. Each Module is a non-graded exercise that allows you to build your knowledge and identify your strengths and weaknesses.
Graded Assignments. Graded Assignments are the tasks you will submit to your instructor for a grade. Each assignment contains specific information about how your work will be assessed and how credit will be given for your responses. The average of your assignments will count for 75 percent of your course grade.

Course Objectives

Upon completing of this course, you will be able to:

  • define the relationships between dollars, time, hourly and salary wages, and commission and for both hourly and salary wages;
  • calculate before gross salary, tax and after tax deductions and net paycheck amount post-deductions;
  • calculate interest earnings, and checking account charges;
  • write and record checks and calculate checking balances and identify errors when necessary;
  • explain the importance of saving and compare different types of saving;
  • calculate simple interest for loans and savings;
  • calculate simple and compound interest in various situations;
  • discuss the importance of goal planning and describe various methods of reaching those goals;
  • review linear equations and define slope;
  • discuss the advantages and disadvantages of loans compared with paying cash;
  • calculate total interest, loan monthly payments, amount of loan reduction and loan balance;
  • create an amortization schedule for a loan;
  • describe how credit cards work and how they are used;
  • calculate interest, interest charges, credit card balances, length of time to pay off of a credit card;
  • understand minimum monthly payments and penalties;
  • compare various types of credit rates and interests;
  • suggest ways to use a budget to correct credit card abuse;
  • identify the uses of mathematical patterns in art and architecture;
  • identify the uses of ratios, proportions, periodic motion, and transformations in music;
  • understand the considerations involved in purchasing homes and automobiles and the importance and cost of insuring them; and
  • understand why life insurance is needed and how the premium rates are determined.

Final Examination

The final examination is comprehensive; it covers the material from all of the units. To pass the course, you must receive a grade of 70 percent or better. You can apply to take the Final Exam after 100 percent of your graded assignments have been submitted, and at least 70 percent have been graded and returned to you.
Format: Objective
Time Allowed: 3 hours

Course Outline

Total Number of Units: 6
Total Number of Activities: 30
Total Number of Graded Assignments: 25

Unit 1: Personal Finance
Module 1: Rate of Change: Slope
Module 2: Compensation
Module 3: Compensation
Module 4: Budgeting
Module 5: Personal Taxes
Graded Assignment 1: Homework #1
Graded Assignment 2: Homework #2
Graded Assignment 3: Discussion Assignment
Graded Assignment 4: Personal Finance Unit Test

Unit 2: Credit and Debit
Module 1: Credit Cards and Reasons to Have Them
Module 2: Making Monthly Payments
Module 3: Simple and Compound Interest
Module 4: Debit Cards  
Module 5: Other Banking Decisions
Graded Assignment 1: Homework #1
Graded Assignment 2: Homework #2
Graded Assignment 3: Discussion Assignment
Graded Assignment 4: Credit and Debit Unit Test

Unit 3: Financial Decisions
Module 1: Home Financing
Module 2: Home Financing
Module 3: Home Insurance
Module 4: Auto Insurance
Module 5: Auto Insurance
Graded Assignment 1: Homework #1
Graded Assignment 2: Homework #2
Graded Assignment 3: Activity
Graded Assignment 4: Financial Decisions Unit Test

Math Models with Applications B Midterm Exam
This Midterm Exam counts as a graded assignment and does not need to be taken at a testing center.

Unit 4: Life Insurance and Investment
Module 1: Life Insurance Coverage Options
Module 2: Life Insurance Rates
Module 3: Investment Basics
Module 4: Stocks and Bonds
Module 5: Annuities and Retirement Plans
Graded Assignment 1: Homework #1
Graded Assignment 2: Homework #2
Graded Assignment 3: Activity
Graded Assignment 4: Life Insurance and Investment Unit Test

Unit 5: Science
Module 1: Trigonometric Ratios
Module 2: Calculating Distance
Module 3: Periodic Motion
Module 4: Direct and Inverse Variation
Module 5: Physical Laws
Graded Assignment 1: Homework #1
Graded Assignment 2: Homework #2
Graded Assignment 3: Activity
Graded Assignment 4: Science Unit Test

Unit 6: Fine Arts
Module 1: Geometric Transformations
Module 2: Lines of Symmetry
Module 3: Ratios and Proportions
Module 4: Mathematical Patterns in Art and Architecture
Module 5: Mathematical Patterns in Music
Graded Assignment 1: Homework #1
Graded Assignment 2: Homework #2
Graded Assignment 3: Activity
Graded Assignment 4: Fine Arts Unit Test

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