MATH 32: Fundamentals of Mathematics

Math 32 serves as the foundation for all of the other math courses. It intended to prepare
students for prealgebra.
Using a problem solving approach, this course includes addition, subtraction,
multiplication, division and exponentiation of whole numbers, fractions, and
decimals as well as operations with ratios, proportions and percents.
Additionally, this course includes different systems of measurement and their
applications. Throughout the course all of the concepts are first introduced and then
practiced before being used in practical problem solving exercises. Students must
demonstrate manual use of
all problem solving methods and techniques. This means that students
are required to show all of the necessary procedural steps
for all calculations and problem solving completions. The use of
calculators, PDA's or cell phones as calculators is not permitted during tests
or the final exam. Calculators may be used to check class work and
homework.
Student Learning Outcomes
Upon successful completion of this course the student will be able to:
1. Express a whole
number in words and identify the place value of a digit.
2. Express a whole
number using decimal expansion.
3. Estimate whole
numbers by rounding.
4. Graph whole numbers on the real number line.
5. Evaluate
expressions with arithmetic operations involving whole numbers, fractions,
decimals and exponents without the use of a calculator.
6. Determine the
prime factorization of a whole number and apply this to find the least common
multiple of whole numbers.
7. Identify an
appropriate ratio from a given diagram.
8. Determine
whether two fractions are equivalent, and express a given fraction in lowest
terms.
9. Perform
conversions between mixed numbers and fractions.
10. Express a decimal number in
words; and identify the place value of a digit.
11. Perform conversions between
decimal numbers and fractions.
12. Apply the principals of
rounding and estimation to decimal numbers.
13. Express rates and ratios as
fractions using proper notation.
14. Set up and solve simple
proportions.
15. Define percents using
required notation.
16. Perform conversions between
percents, mixed numbers and decimal numbers.
17. Determine the relation
between two numbers using inequality symbols.
18. Perform unit conversions
within the Metric system and within the American system.
19. Apply the appropriate
skills to application problems.

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