# Concepts and Principles of Mathematics

**Course Description**

This course provides a review of the fundamentals of
mathematical operations and theorems. Topics include:

decimal numbers , fractions, percents, ratio, rates, proportions, and basic
concepts of geometry. An introduction to

integers and the number line are also included. The goal of this course is to
provide students with the skills

necessary to begin the study of algebra . This course does not count towards
credit requirements for associate

degree programs.

**Note: **A grade of ‘C’ or better must be obtained to
successfully complete this course and go on to Math 099.

Calculators may not be used in this course.

**Objectives**

Students will learn to add, subtract, multiply, and divide
fractions and decimals . Students will be able to compute

percentage problems, convert fractions and decimals to percents and decimal and
percents to fractions. Students

will learn the fundamentals of proportionality. In preparation for Math 099,
students will be introduced to integers

and the number line. Students will also develop basic skills to add and subtract
signed numbers using the number

line. Students will learn to apply their basic math skills found in the
workplace and in everyday experiences.

**Instructional Text**

Howett, Jerry. Contemporary’s Number Power 2: A Real World
Approach to Math. McGraw-Hill, Chicago.

2000.

**Teaching Strategies
▪ **Lecture and Demonstration

**▪**Student Practice and Activities

**▪**Assigned Homework

**▪**Quizzes and tests

**▪**Computer Lab

**Learning Outcomes
**At the successful conclusion of this course, students will be able to:

**Operations on Whole and Mixed Decimal Numbers**

• Order of Operations and Exp onential Notation

• Identify place value of mixed decimal numbers

• Round whole and decimal numbers to a given place value

• Estimate sums , differences , products, and quotients

• Apply rules and properties of addition, subtraction, multiplication, and division to strategically solve word

problems

• Identify and use the commutative property

• Identify and use the associative property

• Identify and use the distributive property

• Use a test of reasonableness or estimation to check answers

• Use geometric formulas to calculate perimeter, area, and volume of a rectangle and the circumference and

area of a circle.

• Find the prime factorization of a composite number

• Determine if a number is divisible by 2, 3, 4, 5, 6, or 9

• Find the greatest common factor of a group of numbers

**Operations on Fractions**

• Identify forms of fractions and convert fractional forms

• Use factors to simplify fractions

• Add, subtract, multiply and divide fractions with like and unlike denominators

• Find the least common multiple of a group of numbers

• Determine whether two fractions are proportional

**Conversions**

• Convert fractions to decimals or percents

• Convert decimals to fractions or percents

• Convert percents to decimals or fractions

**Rate, Ration, Proportion**

• Write a ration and reduce to its simplest form

• Write a rate and reduce to its simplest form.

• Write a proportion

• Find the rate, base, and amount in percent problems

**Glimpse of Pre-Algebra**

• Identify the set of real numbers

• Represent an integer on a number line

• Use inequality signs to order integers

• Identify opposites on the number line

• Identify and simplify absolute value expressions

• Add two numbers with the same sign

• Add two numbers with opposite signs

**Methods of Evaluation**

Attendance and Participation 10%

Homework and In-Class 10%

Quizzes 20%

Tests 40%

Final Exam 20%

**Attendance and Class Policies
**Students are expected to attend every class. Similarly, all students are
expected to arrive on time and be

prepared for class. Arriving late or leaving early will have an impact on 10% of a student’s grade. Participation in

classroom projects is vital to the learning process and attendance is a key ingredient to success at Goodwin

College.

If a student finds it necessary to miss a class or part of
one, it is his/her responsibility to contact a classmate or the

instructor to identify and complete any missed in-class assignments, homework,
tests or other material by the

next class. Work submitted after this date will have points deducted for each
day that it is late, unless other

arrangements are made with the instructor in advance. Any quiz/test missed will
be made up as soon as the

student returns to class. All assignments and the final exam must be completed.

Instructors expect the integrity from students to do their
own assignments, quizzes, and tests. Any student that

acquires answers from another source or does not submit his/her own work will
automatically receive a “0” for that

grade. No use of any type of calculator is permitted.

Cell phones need to be turned off before class starts. If
an important call is expected, set your phone to “vibrate”.

Leave the room if you plan to make or receive a phone call.

**Incompletes**

Students must have a passing grade in order to receive an
incomplete. All coursework must be completed within

two weeks after the end of the course. Failure to complete work within the
two-week period will result in a failing

grade. All incompletes must be arranged with the instructor. Students can not
progress to the next course for

that particular subject until the incomplete status is changed .

**Withdrawals**

Any student wishing to withdraw officially from this course must see an academic advisor immediately.

**Disabilities**

Students with physical, psychiatric/emotional, medical, or
learning disabilities that may affect their ability to carry

out the assigned course work are urged to contact the Assistant Dean of Academic
Support Services. The

Assistant Dean of Academic Support Services will review your concerns and
determine, with each individual, what

accommodations are necessary and appropriate. All information and documentation
of disability are confidential.

**MATH 089 - Course Outline (A )**

Week 1 |
Course syllabus, policies/procedures, textbook
layoutPre-test Brief Review- Operations of Addition, Subtraction, Multiplicationand Division on Whole Numbers. Order of Operations and Exponential Notation PEMDAS DecimalsDecimal and mixed decimal place values Reading and Writing decimals Unnecessary zeros Comparing and Rounding decimals |
Chapters are notnumbered. Lecture and teacher Pages 60-66 Pages 70-71 |

Week 2 |
DecimalsEstimating decimals Adding and Subtracting with decimals Multiplying with decimals Dividing with decimals Applying Skills |
Pages 73-93 Teacher handouts |

Week 3 |
Fractions – Multiplication and DivisionUnderstanding and Writing fractions Equivalent fractions Simplifying fractions and Raising fractions Identifying and Converting forms of fractions Multiplying with Fractions Rounding and Estimating Dividing with Fractions Applying Skills Converting between fractions and decimals |
Pages 8-21 Teacher handouts Pages 39-56
Pages 67-69 |

Week 4 |
Adding and Subtracting FractionsAdding and subtracting fractions with like denominators Adding and subtracting fractions with unlike denominators Finding a common denominator Adding and subtracting with mixed numbers Estimating Borrowing and Carrying with fractions Applying Skills and Review |
Pages 22-38 Teacher handouts Page 58 |

Week 5 |
Solving Geometric Applications –lightly
cover—to learnsubstitution and fundamentals of formulas Perimeter, Area, and Volume of a rectangle, Circumference and Area of a circle PercentsWriting percents as fractions and decimals Writing decimals and fractions as percents Identifying the parts of a percent problem and solving it Applying Skills |
Pages 136-144
Page 96-120 |

Week 6 |
Ratios, Rates and ProportionsRatios Rates and unit pricing Proportions Solving proportions |
Teacher handouts |

Week 7 |
The Real Number System Real numbers and order (as time permits) LIGHT OVERVIEW OF: Adding real numbers—Integers – not fractions Subtracting real numbers – Integers not fractions REVIEW |
Teacher handoutsWeek 71/2 |

Week 71/2 |
FINAL EXAM |

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