# SURVEY OF MATHEMATICS

## METHODS OF INSTRUCTION AND EVALUATION:

STUDENT LEARNING OUTCOMES |
METHODS OF INSTRUCTION |
SUCCESSFUL PERFORMANCE/BEHAVIORAL
INDICATORS |
METHODS OF EVALUATION |

1.Solve linear and nonlinear equations. | Lecture Group work |
•Recognize and solve linear equations. •Recognize and solve quadratic equations by factoring or using the quadratic formula. |
Exam |

2. Graph linear and nonlinear functions/relations. | Lecture EXCEL spreadsheet DERIVE |
•Graph linear and nonlinear functions/relations by hand or by using EXCEL or DERIVE. | Exam |

3.Solve proportion problems including similar triangles. | Lecture Group work |
•Solve proportion problems by cross multiplication . •Find missing pieces of similar triangles using proportions. |
Exam |

4.Solve percent problems including applications for base, rate, or percentage. | Lecture Group work |
•Solve percent problems for base, rate, or percentage using the
proportion method. •Solve word problems involving percentage. |
Exam |

5.Solve applied geometry problems (perimeter, area, volume, right triangle) using formulas | Lecture Group work |
•Find the perimeter and area of plane geometric figures. •Find the volume of 3-D geometric objects. •Find missing pieces of right triangles using the Pythagorean Theorem. |
Exam |

6. Calculate simple and compound interest. | Lecture EXCEL spreadsheet |
•Utilize the appropriate formula to calculate simple and compound interest by hand or using EXCEL. | Exam |

7.Calculate probability of, odds for, and odds against and event. | Lecture Group work |
•Utilize the appropriate definition to calculate the probability of, odds for, and odds against an event. | Exam |

8.Organize and present data using graphs and tables. | Lecture Utilize EXCEL |
•Utilize EXCEL to organize and present data in graphical and/or table form. | Exam |

9. Calculate mean, median, mode, range, and standard deviation of data sets. | Lecture EXCEL spreadsheet |
•Utilize the appropriate formula or definition to calculate the mean, median, mode, range, and standard deviation of data sets by hand or using EXCEL. | Exam |

10. Explain the use of mathematics in at least one civilization/culture (China, India, Middle East, Greece, Central America, Europe, etc.) and discuss any contributions that culture made to the development of modern mathematics. | Research assignment | •Research and explain the use and development of mathematics in at least one civilization/culture (China, India, Middle East, Greece, Central America, Europe, etc.) and discuss any contributions that culture made to the development of modern mathematics. | Research paper |

## TENTATIVE CLASS SCHEDULE AND ASSIGNMENTS:

**OUTLINE OF INSTRUCTION**

I. Applications of Equations (Chapter 5)

A. First degree equations

B. Rate, ratio , and proportion

C. Percent

D. Second degree equations

II. Sets (Chapter 2)

A. Set concepts

B. Subsets

C. Union and Intersection

III. Problem Solving (Critical Thinking Skills / Logic)
(Chapters 1 & 3)

A. Organize and present data using EXCEL (handout)

B. Problem solving / critical thinking

C. Logic (AND, OR, NOT, electrical circuit applications)

IV. Applications of Functions (Chapter 6)

A. Rectangular coordinates and functions

B. Properties of linear functions / linear models

C. Quadratic functions

D Solving systems of equations (handout)

V. Geometry (Chapter 8)

A. Basic concepts (lines and angles)

B. Perimeter and area of plane figures

C. Similar triangles

D. Volume and surface area

VI. Mathematics of Finance (Chapter 10)

A. Simple and compound interest

B. Credit cards and consumer loans

C. Home ownership

VII. Combinatorics and Probability (Chapter 11)

A. Counting principle / permutations and combinations

B. Probability and odds

C. Addition and complement rules for probability

VIII. Statistics (Chapter 12)

A. Measures of central tendency

B. Measures of dispersion

C. Measures of relative position

D. Normal distributions

E. Linear regression and correlation (EXCEL)

IX. Numeration Systems / Number Theory (Chapter 4)

A. Place Value

B. Converting between other bases and base 10

C. Prime numbers and Prime factorization

## CLASS GUIDELINES AND OTHER REQUIREMENTS:

**Grading:** The average of all unit tests will count
80% of the grade and individual projects will count the other 20% (See list of
projects below). Projects are the sole responsibility of the student. Two
projects are due at mid-term and the rest are due two weeks prior to the end of
the semester. (Projects turned in late will not be graded.) One project must be
a paper on the use of math in a foreign civilization/culture (see #10 in course
objectives).

**Suggested Projects:** Three- to five-page papers on
people (mathematicians) or mathematical topics or real-world application (papers
must be in student’s own words), graphs (using Excel), or scale models. Each
project will count a minimum of 1% and a maximum of 5% of the total grade in the
course. A student may substitute a "class journal" containing a brief synopsis
of each topic covered as well as any comments or suggestions and/or a "notebook"
containing neat and well organized notes and homework assignments for projects.
A student may spend a minimum of 10 hours in the computer lab and/or participate
for a minimum of 10 hours in a study group and/or work with a tutor for 10 hours
and/or do 10 hours of volunteer work in the community for projects. (See
instructor for time sheets) Perfect attendance can also count as a project.

**Testing:** Tests will be given periodically covering
material studied since the last test. Papers will be returned and discussed the
first class period following the test. Take-home assignments must be turned in
on the due date (no exceptions). Late assignments will be penalized 10 points
for each day they are late. (No assignments will be accepted after graded papers
are returned.)

**Class Conduct:** If you miss a class, it is up to you
to get the notes from a friend. You are responsible for everything that goes on
in the lecture and class whether you are present or not. Attendance will be
taken and the RCC attendance policy will be followed.

Please turn off cell phones during class time! Cell phones are not to be placed on the desktop or taken out anytime during the class period. If you have a good reason for wanting to keep your cell phone turned on, please tell the instructor before class.

Do not talk while the instructor is lecturing and do not talk while a fellow student is asking a question. You will receive one warning if you are interrupting the class by your conduct, after that you will be asked to leave the classroom.

If you are late to class, please knock on the classroom door. The classroom door will be locked once class has started.

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