Description:

Fundamentals of Mathematics is designed for the student who needs to improve or review basic math skills and concepts. This course includes computation using integers, fractions, decimals, proportions and percents along with an overview of percents, measurement, geometry, statistics and linear equations. Fundamentals of Math provides the mathematical foundation upon which subsequent studies in mathematics and other areas depend. 3 or 5 hrs. lecture / wk. This course does not fulfill degree requirements.

Supplies: Refer to the instructor’s course syllabus for details about any supplies that may be required.

Textbook(s): For information see - http://bookstore.jccc.net

Course Fees: NONE

Course Objectives:

Upon successful completion of this course the student should be able to:

1. Compute with integers, fractions, and decimals.
2. Apply the rules of order of operation to simplify numerical expressions.
3. Perform calculations and conversions using the U.S. and metric systems of measurement.
4. Demonstrate the use of ratios, proportions and percentages.
5. Calculate perimeter, circumference, area, surface area, and volume of geometric figures.
6. Use geometry to determine triangle and angle relationships.
7. Calculate the mean, median, and mode of a set of numbers.
8. Interpret statistical charts and graphs.
9. Demonstrate the use of estimation skills to judge the reasonableness of a result.
10. Solve application problems.
11. Use a scientific calculator to evaluate numerical expressions.
12. Solve basic linear equations.

Content Outline & Competencies:

I. Whole Numbers
   A. Identify place value of the digits in a whole number; read whole
numbers; write whole numbers; compare the size of whole numbers using
inequality symbols.
   B. Round whole numbers; estimate results using rounding.
   C. Add, subtract, multiply, and divide whole numbers.
   D. Evaluate expressions written in exponential form.
   E. Apply the rules of order of operation to whole numbers.
   F. Use the tests for divisibility for 2, 3, 5, and 10.
   G. Determine if a number is prime or composite; determine the prime
factorization of whole numbers; find least common multiples.
   H. Solve applications using whole numbers.

II. Fraction Notation
   A. Identify the numerator and denominator of a fraction; identify
whether a fraction is proper or improper; identify mixed numbers; change
mixed numbers to improper fractions; change an improper fraction to a
mixed number; compare the size of fractions using inequality symbols.
   B. Reduce fractions; identify equivalent fractions; change a fraction
to an equivalent fraction with a different denominator.
   C. Add, subtract, multiply, and divide fractions and mixed numbers.
   D. Apply the rules of order of operation to fractions and mixed
numbers.
   E. Solve applications using fractions.

III. Ratios and Proportions
   A. Define a ratio; create a ratio.
   B. Determine if a proportion is true. 
   C. Solve proportions.
   D. Solve applications using proportions.

IV. Decimal Notation
   A. Identify place value of the digits in a decimal number; read decimal
numbers; write decimal numbers.
   B. Round decimal numbers; estimate results using rounding.
   C. Add, subtract, multiply, and divide decimals.
   D. Compare the size of decimals using inequality symbols.
   E. Apply the rules of order of operation to decimals.
   F. Change from fraction notation to decimal notation; change from
decimal notation to fraction notation.
   G. Solve applications using decimals.

V. Percent Notation
   A. Define percent; change from percent notation to fraction notation;
change from percent notation to decimal notation; change from fraction
notation to percent notation; change from decimal notation to percent
notation.
   B. Solve percent problems by using proportions and/or by using basic
equations.
   C. Solve applications using percents.

VI. Measurement
   A. Convert from one unit of measurement to another in the U.S. System.
   B. Convert from one unit of measurement to another in the Metric
System.
   C. Convert between U.S. and metric measurements.
   D. Solve applications using U.S and metric measurements.

VII. Geometry
   A. Classify angles; identify supplementary and complementary angles.
   B. Identify rectangles, squares, parallelograms, triangles and
trapezoids.
   C. Calculate the perimeter of polygons; calculate the circumference of
circles; calculate the perimeter and circumference of composite figures.
   D. Calculate the area of a rectangle, a square, a parallelogram, a
triangle, and a trapezoid; calculate the area of composite figures.
   E. Calculate the volume of rectangular solids, circular cylinders,
spheres, and circular cones.
   F. Define similar figures; determine if two triangles are similar; use
a proportion to find a missing side of similar triangles.
   G. Use the Pythagorean theorem to determine the missing side of a right
triangle.
   H. Solve applications using geometry.

VIII. Signed Numbers
   A. Compare the size of signed numbers using inequality symbols.
   B. Evaluate absolute value expressions.
   C. Add, subtract, multiply, and divide signed numbers.
   D. Apply the rules of order of operation to signed numbers.
   E. Solve applications using signed numbers.

IX. Introduction to Algebra Topics
   A. Identify constants, variables, terms, and coefficients in algebraic
expressions.
   B. Identify like terms; add and subtract like terms.
   C. Apply the distributive property to algebraic expressions.
   D. Simplify algebraic expressions; evaluate algebraic expressions;
translate words into algebraic expressions.
   E. Solve simple linear equations using the addition and multiplication
properties of equality.

X. Statistics
   A. Calculate the mean, median, and mode of a set of numbers.
   B. Read tables, circle graphs, line graphs and bar graphs.
   C. Interpret tables, circle graphs, pictographs, line graphs and bar
graphs.

Methods of Evaluation of Competencies:

Evaluation of student mastery of course competencies will be accomplished using the following methods:

 Unit Exams, Unit Papers and/or Unit Projects  40% - 80%
 Homework, Quizzes and/or Small Projects        0% - 50%
 Final Exam**                                  10% - 40%

**The final exam must count at least as much as any unit exam, unit paper
or unit project.  In any course where unit exams are not proctored, the
instructor may require that the student score at least a 70% on the final
exam to earn a ‘C’ for the course.  At the instructor's discretion, the
grade on all or any part of the final exam may replace any lower test
score.

Caveats:

1. The majority of mathematics courses are sequential. Students must earn a grade of C or higher in a prerequisite mathematics course to progress to its subsequent mathematics course.
2. In accordance with the assertion made on your billing statement, during the first two weeks of the semester, if a student is found not to have successfully fulfilled the prerequisite(s) for this course, the student will be dropped from the course. He/she will be allowed to enroll in the appropriate lower level math course on a space available basis with an even exchange of tuition. After the first two weeks, students who have not met the prerequisite(s) will be dropped from the course with no refund of tuition.
3. Note: The Fundamentals of Math textbook was specially made for JCCC. Because of this, section 7.3 and 9.7 were added to original textbook from another textbook. These pages are not in color. The original 7.3 and 7.4 sections were removed and were replaced with the non color section 7.3. Therefore, our JCCC textbook has no section 7.4. The added 9.7 section is actually 9.1 from another textbook, but comes after 9.6. Also, some of the numbering of the exercises do not match the original book.

Disabilities:

If you are a student with a disability, and if you will be requesting accommodations, it is your responsibility to contact Access Services. Access Services will recommend any appropriate accommodations to your professor and his/her director. The professor and director will identify for you which accommodations will be arranged.

JCCC provides a range of services to allow persons with disabilities to participate in educational programs and activities. If you desire support services, contact the office of Access Services for Students With Disabilities (913) 469-8500, ext. 3521 or TDD (913) 469-3885. The Access Services office is located in the Success Center on the second floor of the Student Center.